BD Merit - Freelancing, BCS, Bank, Primary, Admission, NTRCA

1 . a + b = 14, ab = 45 হলে a - b এর মান কত?

A. -4
B. 4
C. 16
D. a ও b

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Answer: Option B

Explanation:

ab = (a+b)2-(a-b)2

or, (a-b)2 = (a+b)2-4ab

=(14)2 -(4X45)

=196 - 180

=16

(a-b)= ± 4

প্রিমিয়াম প্ল্যান: ১ মাস

99 ৳

৩০ দিনের জন্য সকল লাইভ এবং আর্কাইভ মডেল টেস্ট, প্রশ্ন ব্যাংক ও লেকচার শিট সহ অ্যাপ এর প্রিমিয়াম সব এক্সেস পাবেন।

সাবস্ক্রিপশন লিংক

2 . একটি তালগাছের পাদবিন্দু হতে 19মিটার দূরবর্তী স্থান থেকে গাছের শীর্ষবিন্দুর উন্নতি কোণ 45°হলে, গাছটির উচ্চতা কত?

A. 20 মিটার
B. 21 মিটার
C. 19 মিটার
D. 18 মিটার

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Answer: Option C

Explanation:

h/x = tanq

h = 19 x tan 45 = 19 x 1 = 19.

জাতীয় সংসদ সচিবালায়ের সহকারী পরিচালক-১২.০৬.২০০৬ || 2006

3 . Which of the following is equal to 0.45?/নিচের কোনটি ০.৪৫ এর সমান?

A. 0.045%
B. 0.45%
C. 4.5%
D. 45%
D. None of these

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Answer: Option D

Explanation:

(. 45 × 100) = 45 %

বাংলাদেশ পল্লী বিদ্যুতায়ন বোর্ড || সহকারী পরিচালক (07-02-2025) || 2025

4 . In a production process, the number of unit produced during 1st week was 450. If the efficiency gradually increases so that 10 additional units can be produced each week. How many will be produced in the 10th week?/একটি উৎপাদন প্রক্রিয়ায় প্রথম সপ্তাহে উৎপাদন ৪৫০ একক। যদি উৎপাদনক্ষমতা পর্যায়ক্রমে প্রতি সপ্তাহে ১০ একক করে বৃদ্ধি পায়, দশম সপ্তাহে উৎপাদনক্ষমতা কত হবে?

A. 490
B. 700
C. 540
D. 640
D. 702

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Answer: Option C

Explanation:

ব্যাখ্যাঃ প্রদত্ত সমস্যাটি একটি সমন্তর ধারা । যার প্রথম পদ a = 450 , সাধারন অন্তর d = 10

সুতরাং দশম পদ = a + (10 - 1)d

= 450 + 9*10

= 540

Bangladesh Bank - Assistant Director - 2006

5 . If the product of 20% of 85 and 40% of 45 is divided by 4, the result would be--

A. 76.5
B. 77
C. 76.3
D. 75.3
D. 67.5

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Answer: Option A

Explanation:

85× (20/100) × 45 ×(40/100) /4

= (17 × 18) /4

= 76.5

6 . Rahim, Karim and James paid a total of Tk. 45 for their dinner at a restaurant. If Rahim paid of the total amount, Karim paid Tk.17 and James paid the rest then what fraction of the total amount did james pay?

A. 2
B. 14
C. 1
D. 7
D. None of these

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Answer: Option A

Explanation:

7 . A bonus of Tk.25000 will be distributed among three salespersons in proportion of the amounts by which there sales exceed the basic quota of Tk.200000. Mrs. Asha sold Tk.600000. Mr. Bashir sold Tk.450000 and Mr. Saif sold Tk,300000. How much did Mr. Saif receive from this bonus?

A. Tk.3333.33
B. Tk.6666.67
C. Tk.5555.56
D. Tk.4444.44
D. None of these

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Answer: Option A

Explanation:

Their sales exceeded the basic quota of TK 200000 by 400000, 250000 and 100000 respectively.

So, Mr. Saif will receive a bonus amount = {100000/(400000 + 250000 + 100000)}x25000 = 3333.33 TK.

8 . A train 360 m long is running at a speed of 45 km/hour. In what time will pass a bridge 140 m long?

A. 40 seconds
B. 42 seconds
C. 45 seconds
D. 48 seconds

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Answer: Option A

Explanation:

Hints: train অতিক্রম করে নিজের length এবং bridge এর length 45km/hr = ( 45÷3.6)ms - 1 = 12.5 ms - 1

Time = 140 + 360 /12.5 = 40seconds.

9 . A motorcyclist rode to work at an average speed of 15 miles per hour and returned home along the same route at an average speed of 45 miles per hour. If his entire traveling time was 1 hour, what was the total number of miles in the round trip?

A. 30
B. 36.5
C. 45
D. 15
D. 22.5

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Answer: Option E

Explanation:

He travels 20 miles at a speed of 15 mph so he takes 20/15 = 4/3 hrs to travel one way. Since total time is 2 hrs, he must have taken 2 - 4/3 = 2/3 hrs while returning.
Speed while returning = 20/(2/3) = 30 mph

10 . Which of the following is equal to 0.45?

A. 0.045%
B. 0.45%
C. 4.5%
D. 45%
D. 0.0045%

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Answer: Option D

Explanation:

(. 45 × 100) = 45 %

11 . ABC is a right angle of an isosceles triangle ∆ABC. BD is perpendicular to AC. Which of the following if any is not a 45° angle?

A. ∠BAD
B. ∠BCD
C. ∠CBD
D. ∠ABD
D. None of these

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Answer: Option E

Explanation:

12 . The average of the three numbers x, y, and z is 45. x greater than the average of y and z by 9. The average of y and z is grater than y by 2. Then the difference of x and z is:

A. 3
B. 5
C. 7
D. 11

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Answer: Option C

Explanation:

According to the question,
⇒(x + y + z)/3 = 45
⇒x + y + z = 135.....(i)
⇒x = (y + z)/2 + 9
⇒2x−y−z = 18.....(ii)
x + y + z = 135
2x−y−z = 18
−−−−−−−−−−−− 3x = 153
x = 51
From (i)
y + z = 135 - 51 = 84.....(iii)
Also,
⇒(y + z)/2 = y + 2
⇒y + z = 2y + 4
⇒z−y = 4
+ y + z = 84
−y + z = 4
−−−−−−−−−
2z = 88
z = 44
Required difference = 51 - 44 = 7

13 . The average age of a family of 6 members is 25 years. After a 45- yers old member leves the family, what is the average age ( in years) of the family?

A. 22
B. 21
C. 20
D. 19

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Answer: Option B

Explanation:

6 জন সদস্যের সয়সের সমষ্টি = 6 × 25 = 150 বছর

5 বছর সদস্যের বয়সের সমষ্টি = 150 - 45 = 105 বছর

∴ বর্তমান বয়সের গড় = 105 = 21 বছর

সমন্বিত ৮ ব্যাংক | অফিসার | 21-01-2022

14 . a² + 3ab = 145, If a = 5, then what is the value of b²?

A. 8
B. 64
C. 16
D. 4

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Answer: Option B

Explanation:

15 . The average of the three numbers x , y and z is 45 , x is greater than the average of y and z by 9. The average of y and z is greater than y by 2 .Then the difference of x and z is:

A. 3
B. 5
C. 7
D. 11

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Answer: Option C

Explanation:

Senior Officer- 8 Bank Recruitment Test 31-08-2018

16 . A man takes 3 hours 45 minutes to row a boat 22.5 km downstream of a river and 2 hours 30 minutes to cover a distance of 10 km up stream . Find the speed of the river current in km /hr.

A. 1 km/hr
B. 2 km/ hr
C. 3 km /hr
D. 4km/ hr

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Answer: Option A

Explanation:

Speed of the boat = x kmph, the river current = y mph.
3H45M = (3 + 45/60) hr = 15/4 hr
2H30M = (2 + 30/60) hr = 5/2 hr.
According to the question:
x + y = 22.5/(15/4) = 6
x - y = 10/(5/2) = 4
2x = 2
x = 1.
Ans: A

Officer (Cash) -Sonali Bank | BD Development | BD Krishi Bank - 12.10.2018

17 . Which of the following is equal to 456*(72)+28*(456) ?

A. 72*(456+28)
B. 456*(72+28)
C. (456+28)*(456+72)
D. (28+456)*(72+456)
D. (456+456)*(72+28)

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Answer: Option B

Explanation:

456* (72) + 28*( 456)

= 456* (72) + 456* ( 28) = 456* ( 72 + 28)

Bangladesh Bank - Assistant Director - 2013 ||

18 . In a group of people solicited by a charity, 30% contributed TK. 40 each, 45% contributed TK. 20 each and the rest contributed TK. 12 each. What percentage of the total amount came from people who gave TK. 40 each ?

A. 25%
B. 30%
C. 40%
D. 45%
D. 50%

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Answer: Option E

Explanation:

Let, total participant = 100

30% contributed = 40×30% = 40×30/100 = 12 Tk.

45% contributed = 20 × 45 % = 20×45/100 = 9 Tk.

Test = { 100 - ( 30 + 45) }% = 25% contributed = 12×25/100 = 3 Tk.

The percentage of total amount came from people who gave Tk 40 each = 12 /( 12 + 9 + 3) ×100 = 50%

19 . A biker rode 45 miles in 180 minutes. What ws his speed (mph) during this ride ?

A. 17 mph
B. 15 mph
C. 12mph
D. 9 mph
D. 4 mph

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Answer: Option B

Explanation:

We know,

60 minutes = 1 hour

Or, 1 minutes = 1/60 hour

Or, 180 minutes = 180/60 hour

= 3 hours

Here, Times (t) = 3 hours;

Distance (s) = 45 miles

And Velocity (v) = ? Mph

Again, we know that,

S = vt

= > v = s/t

= > v = (45÷3) mph

= > v = 15 mph

Bangladesh Bank - Assistant Director - 2013 ||

20 . Choose the pair of numbers which comes next : 75, 65, 85, 55, 45, 85, 35, .......?

A. 25, 15
B. 25, 85
C. 35, 25
D. 35, 85
D. 15, 85

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Answer: Option B

Explanation:

75, 55, 35

65, 45, 25

85, 85, 85

Bangladesh Bank - Assistant Director - 2011

21 . A train 220 m long is moving at 45km/h. The time taken by the train to crosse tunned 260m long is-

A. 38.40 sec
B. 35 sec
C. 38 sec
D. 40 sec

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Answer: Option A

Explanation:

জাতীয় নিরাপত্তা গোয়েন্দা সংস্থা-(NSI) Assistant Director- Research officer &amp- Assistant Programmer-০৮/১০/২০২১

22 . যদি ROSE কে লেখা হয় 6821, CHAIR কে লেখা হয় 73456 এবং PREACH কে লেখা হয় 961473 , তাহলে SEARCH এর কোড কত?

A. 246173
B. 214673
C. 214763
D. 216473

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Answer: Option B

Explanation:

৪৩ তম বিসিএস প্রিলিমিনারি টেস্ট (29-10-2021)

23 . Saplings are to be planted 30 feet apart along one side of a straight lane 455 feet long. If the first sapling is to be planted at one end of the lane, how many saplings are needed?

A. 13
B. 14
C. 15
D. 16

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Answer: Option D

Explanation:

24 . If Taka 4500 was invested in bonds of acorporation when the price per bond was Tk.9.00 and Taka 3000 was invested in bonds of another corporation when the price was Tk.10.00 per bond, What was the average price of bonds purchased?

A. Tk.9.625
B. Tk.9.50
C. Tk.9.40
D. Tk.9.375

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Answer: Option D

Explanation:

Total investment = 4500 + 3000 = 7500 TK.

Number of Bonds = 4500/9 + 3000/10 = 800

Average price per bond = 7500 / 800 = 9.375 TK.

25 . If Tk.45000 was invested in the share market when the price per share was Tk.90 and Tk.30000 was invested when the price per share was Tk.100, what was the average price per share purchesd?

A. Tk.96.25
B. Tk.95.00
C. Tk.94.00
D. Tk.93.75

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Answer: Option D

Explanation:

Number of share purchased with TK 45000 investment = 45000/90 = 500

Number of share purchased with TK 30.000 investment = 30000/100 = 300

Total number of share = 500 + 300 = 800

Total investment = 45000 + 30000 = 75000 TK.

Average price per share = 75000 / 800 = 93.75 TK.

26 . A train 220 meter long is moving at 45 km/h. The train taken by the train to cross a tunnel 260 meter long to

A. 25 sec
B. 35 sec
C. 38 sec
D. 40 sec

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Answer: Option C

Explanation:

27 . When a student weighting 45 kgs left a class, the average weight of the remaining 59 students increased by 200g. What is the average weight of the remaining 59 students?

A. 57 kgs
B. 56.8 kgs
C. 58.2 kgs
D. 52.2 kgs

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Answer: Option A

Explanation:

Let, Average weight of 59 students = x kg

Total weight of 59 students = 59x

Total weight of 60 students = (59x + 45)

Average weight of 60 students = ( 59x + 45)/60

x - ( 59x - 45)/60 = 200/1000

( 60x - 59x - 45) /60 = 1/5

5x - 225 = 60

x = 285 /5 = 57kgs

28 . A train crosses a single pole in 20 seconds while it corsses a 200 meter long plaftorm in 45 seconds. What is the length of the train in meter?

A. 120
B. 150
C. 160
D. 200

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Answer: Option C

Explanation:

29 . How many prime numbers are there between 45 and 72?

A. 5
B. 6
C. 8
D. 7

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Answer: Option B

Explanation:

between 45 and 72 prime numbers are = 47, 53, 59, 61, 67, 71

so, there are 6 prime numbers between 45 and 72

ans : 6

Sonali- Janata- Agrani &amp- Rupali Bank Ltd. Senior Officer Recruitment 14.03.2008

30 . A 45000 litter water tank is to be filled at the rate of 220 litters per minute. Estimate, to the nearest half an hour, how long it will take to fill the tank?

A. 4 hours
B. 3.5 hours
C. 3 hours
D. 2.5 hours

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Answer: Option B

Explanation:

Assume that the tank fills in x minutes

By Direct Proportion,

x1/y1 = x2/y2

220/1 = 45000/x

x = 45000/220

x = 204.54

x = 205 minutes (approx.)

Divide x by 60 in order to convert from Minutes to Hours

⇒ 205/60 = 3.41 hours

Estimating to nearest half hours,

The 45000 L tank is filled in 3.5 hours at the rate of 220 L/m

31 . A shopkeeper mixes two varieties of tea. One costing Tk.35 per kg and another at Tk.45 per kg in the ratio 3 : 2. If he sells the mixed variety at 41.60 per kg, his gain or loss percent is---

A. 4% gain
B. 4% loss
C. 20/3% gain
D. 20/3% loss

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Answer: Option C

Explanation:

32 . Employees of a discount appliance store receive an additional 20% off of the lowest price on an item. If an employee purchases a dishwasher during a 15% off sale, how much will he pay if the dishwasher originally cost $450?

A. $280.90
B. $287
C. $292.50
D. $306

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Answer: Option D

Explanation:

Price at 15% off sale = 450 - 15% of 450 = 450 - 67.5 = $382.5

Price at additional 20% discount = 382.5 - 20% of 382.5 = 382.5 - 76.5 = $306

33 . In an examination 35% of total students failed in Bangla, 45% failed in English and 20% in both. The percentage of those who passed in both the subject is--

A. 30
B. 40
C. 10
D. 20

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Answer: Option B

Explanation:

34 . Employees of a discount appliance store receive an additional 20% off of the lowest on an item. If an employee purchases a dishwasher during a 15% off sale, how much he will pay if the dishwasher originally cost $450?

A. $280.90
B. $287
C. $292.50
D. $306

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Answer: Option D

Explanation:

35 . What is 30% of 11/45 of 150?

A. 11
B. 12
C. 13
D. None of these

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Answer: Option A

Explanation:

36 . There were twice as many girls as boys in a class. If 30% of the girls and 45% of the boys have already handed over their reports, what percent of the students have not yet done so?

A. 25
B. 35
C. 50
D. 65

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Answer: Option D

Explanation:

Let, Boys = 100

Girls = 200

200 × 30% + 100 × 45%

= 60 + 45

= 105

300 - 105 /300 × 100%

= 195 / 300 × 100%

= 65%

37 . A train 360 m long is running at a speed of 45 km/hour. In what time will pass a bridge 140 m long?

A. 40 seconds
B. 42 seconds
C. 45 seconds
D. 48 seconds

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Answer: Option A

Explanation:

38 . A train passes city X at 9.55 am and city Y at 10.15 am. The distance between city X and Y is 45 miles. What is the average speed in miles per hour of the train?

A. 135
B. 120
C. 270
D. None of these

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Answer: Option A

Explanation:

সময়ের পার্থক্য= ৯.৫৫ টা - ১০.১৫ টা = ২০ মিনিট

= ১/৩ ঘন্টা = t

দূরত্ব,S = ৪৫ মাইল

আমরা জানি,

S= vt

V= s/ t

= 45/(⅓)

= 135 mile/ h . ( Ans. )

39 . If 15 men working at the same rate can manufacture 27 baskets in an hour, how many baskets would 45 men manufacture in 40 minutes?

A. 37
B. 54
C. 35
D. 40

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Answer: Option B

Explanation:

27 baskets / 15 men = 1.8
So, 1 man can make 1.8 baskets in an hour.

1.8 baskets / 60 minutes = 0.03
So, 1 man can make 0.03 baskets in a minute.

0.03 baskets × 40 minutes = 1.2
So, 1 man can make 1.2 baskets in 40 minutes.

1.2 baskets × 45 men = 54
S0 45 men can make 54 baskets in 40 minutes

40 . If 15 women working at the same rate can produce 25 dolls in an hour, how many dolls would 20 women make in 45 minutes?

A. 20
B. 25
C. 30
D. 50

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Answer: Option B

Explanation:

15 Women in 60 minutes can produce = 25 dolls

1 Women in 60 minutes can produce = 25/15 dolls

1 Women in 1 minutes can produce =25/60×15 dolls

So, 20 Women in 45 minutes can produce = 25×20×45/60×15 = 25 dolls (Ans)

41 . দুটি ক্রমিক স্বাভাবিক সংখ্যার বর্গের অন্তর 45 হলে, সংখ্যা দুটি -

A. 21, 22
B. 22, 23
C. 23, 24
D. 20, 21

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Answer: Option B

Explanation:

ধরি, ছোট সংখ্যাটি = x

∴ বড় সংখ্যাটি x + 1

প্রশ্নমতে, (x + 1)2 - x2 = 45

বা, x2 + 2x + 1 - x2 = 45

বা, 2x = 44

বা, x = 22

∴ বড় সংখ্যাটি = 22 + 1

= 23

ans: 22, 23

42 . Rahim, Karim and James paid a total of Tk. 45 for their dinner at a restaurant. If Rahim paid of the total amount, Karim paid Tk.17 and James paid the rest then what fraction of the total amount did james pay?

A. 2
B. 14
C. 1
D. 7

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Answer: Option A

Explanation:

43 . 45 কে রেডিয়ানে প্রকাশ করুন।

A. 0.19
B. 3.14
C. 0.78
D. 2.14

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Answer: Option C

Explanation:

44 . একটি খুঁটির দৈর্ঘ্য 20 মিটার। এর ছায়ার দৈর্ঘ্য কত মিটার হলে উন্নতি কোণ 45° হবে?

A. 20 মি.
B. 25 মি.
C. 30 মি.
D. 40 মি

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Answer: Option A

Explanation:

এখানে,

লম্ব = উচ্চতা = 20

ভূমি = ছায়া = ?

আমরা জানি,

tan45° = লম্ব/ভূমি

20/ভূমি =1

ভূমি =20

১৭ তম বেসরকারি প্রভাষক নিবন্ধন পরীক্ষা (31-12-2022)

45 . x = 45 হলে 1 + x + 1 - x1 + x - 1 - x এর মান কত?

A. 1
B. 2
C. -2
D. 4

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Answer: Option B

Explanation:

46 . সমাধান করুনঃ x5 - 27 = 5x7 - 45

A. 0
B. 1
C. 2
D. 3

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Answer: Option B

Explanation:

x/5−2/7=5x/7−4/5
7x - 10 = 25x - 28
25x - 7x = 28 - 10
18x = 18
সুতরাং x = 1

47 . ΔABC এ BC বাহুকে D পর্যন্ত বাড়ানো হলো। ∠A = 45°, ∠ACD = 120°, ∠B = কত?

A. 75°
B. 65°
C. 80°
D. 85°

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Answer: Option A

Explanation:

48 . Δabc এর ∠A = 45°, ∠B = 30° হলে, ∠C এর মান কত?

A. 110°
B. 115°
C. 105°
D. 95°

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Answer: Option C

Explanation:

শর্ত মতে, ∠C = 180° - (∠A + ∠B)

= 180° - (45° + 30°)

= 180º - 75°

= 105°

49 . His "total " score was 145 runs.

A. Noun
B. adverb
C. preposition
D. adjcetive

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Answer: Option D

Explanation:

50 . Jerin has 40% more books than Rashed However, if she gives 45 of her books to Rashed, then Rashed will have 10% more books than Jerin . How many books did Jerin begin with ?

A. 140
B. 175
C. 245
D. 385

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Answer: Option C

Explanation:

বাংলাদেশ পল্লী বিদ্যুতায়ন বোর্ড ।। সহকারী সচিব/সহকারী পরিচালক(প্রশাসন) (18-01-2019)

51 . রেইনবো লিমিটেডের আয় বিববণী অনুযায়ী বিক্রয় 64,20,000 টাকা; প্রারম্ভিক মজুদ পণ্য 9,80,000 টাকা; ক্রয় 45,40,000 টাকা এবং সমাপণী মজুদ পণ্য 10,20,000 টাকা। মজুদ পণ্য আবর্তনের হার কত?

A. 4.53
B. 4.49
C. 4.54
D. 6.42

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Answer: Option B

Explanation:

C ইউনিট : 2013-2014 || জগন্নাথ বিশ্ববিদ্যালয় || 2013

52 . A person spends 20 percent of his monthly salary for his son's education.In the coming mondi,he is expected to get an increment of Tk.170 and he plans to spend half of that increment also for his son's education.The total he would spend then for his son's education would be Tk.645.What is the percent salary of that person?

A. 2800
B. 3200
C. 3600
D. 4200

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Answer: Option A

Explanation:

53 . দুটি ক্রমিক সংখ্যার বর্গের অন্তর 45 হলে, সংখ্যা দুটি-

A. 21, 22
B. 22, 23
C. 23, 24
D. 20, 21

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Answer: Option B

Explanation:

ধরি, ছোট সংখ্যাটি = x

∴ বড় সংখ্যাটি x + 1

প্রশ্নমতে, (x + 1)2 - x2 = 45

বা, x2 + 2x + 1 - x2 = 45

বা, 2x = 44

বা, x = 22

∴ বড় সংখ্যাটি = 22 + 1

= 23

ans: 22, 23

সাধারণ পুলের আওতায় বিভিন্ন মন্ত্রনালয়ের সহকারী প্রোগ্রামার-উপসহকারী প্রকৌশলী-প্রশাসনিক কর্মকর্তা ও ব্যক্তিগত কর্মকর্তা-১৫.০৬.২০১৬

54 . Out of 80 students 35% can play only cricket, 45% play able only tennis and the rehanging students can play both the game. How many can play cricket among all students.

A. 28
B. 36
C. 44
D. 64

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Answer: Option C

Explanation:

55 . Δ A B C এর ∠ A = 50 ° , ∠ B = 45 ° হলে Δ A B C হলো (i)সমবাহু (ii) সমদ্বিবাহু (iii) সমকোণী নিচের কোনটি সত্য?

A. (i),(ii)
B. (i),(iiI)
C. (ii),(iii)
D. (i),(ii),(iii)

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Answer: Option C

Explanation:

বাংলাদেশ রেলওয়ে ।। উপসহকারী প্রকৌশলী (সিভিল) (19-08-2016)

56 . একটি ত্রিভুজের দু’টি কোণের মান 45 °ও 60 ° হলে ত্রিভুজটির অপর কোনের মান কত?

A. 55 °
B. 65 °
C. 75 °
D. 85 °

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Answer: Option C

Explanation:

ত্রিভুজের তিন কোণের সমষ্টি 180 ডিগ্রি

দুটি কোণের মান 45 ও 60 ডিগ্রি হলে অপর কোণ 180-45-60=75 ডিগ্রি

57 . A worker union contract specifies a 6% salary increase plus a Tk. 450 bonus for each worker. For a worker, this is equivalent to 8% salary increase. What was this woker's salary before the new contact?

A. 21,500
B. 22,000
C. 22,500
D. 23,500

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Answer: Option C

Explanation:

ধরি, পূর্বে salary ছিল x টাকা
∴(x × 6%)+450=x × 8%
⇒6x/100+450=8x/100
⇒6x+45000/100=8x/100
⇒6x + 45000 = 8x
⇒2x = 45000
∴x = 22500

বাখরাবাদ গ্যাস ফিল্ড লি. || সহকারী ব্যবস্থাপক (সাধারণ) (16-10-2021)

58 . Two trains 105 meters and 90 meters long, run at the speeds of 45 km/h and 72 km/h respectively , in opposite directions on parallel tracks. The time which they take to cross each other , is :

A. 8 seconds
B. 7 seconds
C. 5 seconds
D. 6 seconds

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Answer: Option D

Explanation:

Length of the 1st train = 105 m
Length of the 2nd train = 90 m
Relative speed of the trains,
= 45 + 72 = 117 kmph
= (117 × 5)/18
= 32.5 m/sec
Time taken to cross each other,
= (Length of 1st train + length of 2nd train)/ relative speed of the trains
∴ Time taken = 195/32.5
= 6 secs.

সমন্বিত ৬ (ব্যাংক) ও ২ টি আর্থিক প্রতিষ্ঠান - সিনিয়র অফিসার ১০.০৬.২০১৯

59 . The profit earned from selling item for Tk. 900 is double the loss incurred when the item is sold for Tk. 450. At what price the item should be sold to make 25% profit?

A. Tk. 600
B. Tk. 750
C. Tk. 800
D. none of these

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Answer: Option B

Explanation:

Hints: Let cost price be tk. x

900 - x = 2 ( x - 450)

x = 600 tk

Cost price = 600 gain required is 25%

Sells price = [ (100 + 25) ×600] /100

= Tk. 750

60 . Ralph likes 25 but not 24; he likes 400 but not 300; he likes 144 but not 145.Which does he likw-

A. 10
B. 50
C. 200
D. 1600

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Answer: Option D

Explanation:

Hints': Ralph প্রকৃতপক্ষে যে সংখ্যাগুলোর বর্গ আছে সেই সংখ্যাগুলোর পছন্দ করছে। সংখ্যাগুলে হলো 52 = 25 ; (20)2 = 400 ; (12)2 = 144। সুতরাং উল্লেখিত অপশন গুলোর মধ্যে পছন্দ করে 1600 ; যায় বর্গ (40) 2 = 1600

61 . The ratio of the speed of boat in still water to the speed of stream is 16 :5. A boat goes 16.5 km in 45 minute upstream. Find the time taken by boat to cover the distance of 175 km downstream.

A. 30minutes
B. 25minutes
C. 50minutes
D. 45minutes

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Answer: Option B

Explanation:

Let's denote the speed of the boat in still water as "B" km/h and the speed of the stream as "S" km/h. According to the problem, the ratio of these speeds is given as:

B : S = 16 : 5

Now, let's use this information to find the values of B and S. We can do this by setting up a proportion:

16/5 = B/S

Now, cross-multiply to find B:

16S = 5B

B = (16S)/5

B = (16/5)S

Now, we know the boat's speed in terms of the speed of the stream.

Next, let's calculate the boat's speed when going upstream (against the current). The boat's effective speed upstream is:

Effective speed upstream = Boat's speed in still water - Speed of the stream Effective speed upstream = [(16/5)S] - S

Now, we're given that the boat goes 16.5 km in 45 minutes upstream. Let's first convert the time to hours:

45 minutes = 45/60 hours = 3/4 hours

Now, we can use the formula: Distance = Speed × Time

Distance upstream = Effective speed upstream × Time 16.5 km = ([(16/5)S] - S) × (3/4)

Now, we can solve for S:

16.5 = ([(16/5)S] - S) × (3/4)

Now, simplify the equation:

16.5 = (3/4)[(16/5)S - S]

Now, multiply both sides by 4/3 to isolate the term with S:

(4/3) * 16.5 = (16/5)S - S

Now, calculate the left side:

(4/3) * 16.5 = 22

So, the equation becomes:

22 = (16/5)S - S

Now, combine the terms on the right side:

22 = (16/5 - 5/5)S

22 = (11/5)S

Now, solve for S:

S = (22 * 5) / 11

S = 10 km/h

Now that we have found the speed of the stream (S), we can calculate the boat's speed in still water (B):

B = (16/5)S B = (16/5) * 10 B = 32 km/h

Now, we know the boat's speed in still water (B) is 32 km/h, and the speed of the stream (S) is 10 km/h.

To find the time taken by the boat to cover the distance of 175 km downstream, we use the formula: Time = Distance / Speed

Time = 175 km / (B + S) Time = 175 km / (32 km/h + 10 km/h) Time = 175 km / 42 km/h Time = 25/3 hours

Now, convert hours to minutes:

Time = (25/3) * 60 minutes ≈ 500/3 minutes ≈ 166.67 minutes

Rounded to the nearest minute, the time taken by the boat to cover the distance of 175 km downstream is approximately 167 minutes, which is closest to 25 minutes. So, the answer is 25 minutes.

Officer (General) -Ansar VDP Unnayan | BD House Building Finance Corporation 28.09.2018

62 . The profit earned by selling an article of Tk. 900 is double the loss incurred when the same article is sold for Tk. 450. At what price should the article be sold make 25% profit?

A. Tk. 600
B. Tk. 800
C. Tk. 750
D. None of these

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Answer: Option C

Explanation:

Hints: Let cost price be tk. x

900 - x = 2 ( x - 450)

x = 600 tk

Cost price = 600 gain required is 25%

Sells price = [ (100 + 25) ×600] /100

= Tk. 750

বাংলাদেশ ব্যাংক || সহকারী পরিচালক (AD) (20-10-2023)

63 . What is the smallest number that should be added to 4456 so that the sum is completely divisible by 6?

A. 2
B. 3
C. 4
D. 5
D. None of these

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Answer: Option A

Explanation:

The diviisible smallest number = ( 4456 + 2)/6 = 743

so required smallest number is 2.

64 . If 2994÷14.5=172, then 29.94÷1.45=?

A. 0.172
B. 1.72
C. 17.2
D. 172
D. 172

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Answer: Option C

Explanation:

65 . A jogger running at 9 km/hr alongside a railway track is 240 meters ahead of the engine of a 120 meters long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?

A. 3.6 sec
B. 18 sec
C. 36 sec
D. 72 sec
D. None of these

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Answer: Option C

Explanation:

66 . A union contract specifies a 6 percent salary increase plus a Tk. 450 bonus for each employee. For a certain employee, this is equivalent to 8 percent salary increase. What was this employee's salary before the new contract?

A. Tk. 21,500
B. Tk. 22,500
C. Tk. 23,500
D. Tk. 24,300

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Answer: Option B

Explanation:

Suppose, employee's salary before the new contract was = X

as per condition,

6% salary increase + 450 = 8% salary increase

8% salary increase - 6% salary increase = 450

2% salary increase = 450

2% of X = 450

2X/100 = 450

X = 22500

So, Employee's salary before the new contract was = 22500 tk (Ans.)

67 . From the time 6:15 pm to the time 7:45 pm, of the same day, how many degrees does the minute hand of a standard clock rotate?

A. 30
B. 540
C. 180
D. 910

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Answer: Option B

Explanation:

The minute hand of a standard clock rotates 360° per hour. Now, 6:15 pm to 7:45 pm = 1.5 hour. So, the minute hand will rotate = 1.5×360° = 540°

68 . What is the average (arithmetic mean) of the values 39,40,39,45,42,35,47

A. 39
B. 41
C. 45
D. 47

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Answer: Option B

Explanation:

69 . Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?

A. 10
B. 9
C. 12
D. 20

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Answer: Option A

Explanation:

Hints : In case of 1 hour,

Without stoppages, the bus goes 54 km

with stoppages the bus goes 45 km

Distance ( 54 - 45) = 9 km

Nows, it goes 54 km in 60 mins

it goes 1 km in 60/ 54 km

if goes 9 km in 60 × 9/ 54 = 10 mins

70 . To produce an old photograph, a photographer charges x dollars to make a negative, 3x/5 dollars for each of the first 10 prints, and x/5 dollars for each print in excess of 10 prints. If 45 dollars is the total charge to make a negative and 20 prints from an old photograph, how many dollars the photographer charges to make a negative?

A. 3
B. 3.5
C. 4
D. 4.5
D. None of these

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Answer: Option E

Explanation:

According to the question,

x + 10 × (3x/5) + (20 - 10) × x/5 = 45

or, x + 6x + 2x = 45

or, 9x = 45

or, x = 45/9 = $5

71 . In a 100 m race, A covers the distance in 36 seconds and B in 45 seconds. In this race A beats B by :

A. 20 m
B. 25 m
C. 22.5 m
D. 9 m

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Answer: Option A

Explanation:

Hints: Distance covered by B in 9 sec = (100/45)×9 m = 20 m

A beats B by 20 metres

72 . The distance between two stations, Dhaka and Chittagong is 450 km. A train starts at 5 pm from Dhaka and moves towards chittagong at an average speed of 60 km/hr. Another train starts from Chittagong at 4:20 pm and moves towards Dhaka at an average speed of 80 km/hr. At what time will the two trains meet?

A. 6:10 pm
B. 7:05 pm
C. 8:15 pm
D. 6: 35 pm
D. None of these

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Answer: Option E

Explanation:

73 . A tailor had a number of shirt pieces to cut from large piece pieces of fabric. He cut each large piece into 10 smaller pieces. He cut at the rate of 45 cuts per minute. How many large pieces would be cut in 24 minutes?

A. 32
B. 54
C. 108
D. 120
D. None of these

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Answer: Option D

Explanation:

Number of cuts made to cut a large piece into 10 pieces = 9.
Therefore,
Required number of large pieces = (45 x 24)/9 = 120.

74 . Two trains P and Q are moving in opposite direction at a rate of 36 km/hr and 45 km/hr respectively. A passenger is sitting in train P, finds that his train passes train Q in 8 seconds. What is the length of train Q?

A. 195 m
B. 175 m
C. 190 m
D. 180 m

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Answer: Option D

Explanation:

75 . A truck covers a distance of 550 metres in 1 minute where as a bus covers a distance of 33 kms in 45 minutes. The ratio of their speeds is :

A. 3 : 4
B. 4 : 3
C. 3 : 5
D. 50 : 3

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Answer: Option A

Explanation:

In the case of truck

S = 550m/60 = 9.166 = 9 m/sec

In the case of Bus

S = ( 33×1000)m /( 45×60)sec = 12 m/sec

So the speed ratio of truck : Bus = 9 : 12 = 3 : 4

76 . In a college, 45% of the students are boys. If 40% of the boys and 20% of the girls went on a picnic, what percentage of the total students went to the picnic?

A. 18%
B. 24%
C. 29%
D. 30%
D. None of these

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Answer: Option C

Explanation:

Boy's 45%, So, Girls = ( 100 - 45) % = 55%

Boy's went to picnic = 45% of 40% = 18%

Girls went to picnic = 55% of 20% = 11%

Total students went on a picnic = ( 18 + 11) % = 29 %

77 . A 45,000 liter water tank is to filled at the rate 220 liters per minute. Estimates to the nearest half hour, how long it will take to fill the tank?

A. 4 hours
B. 3.5 hours
C. 3 hours
D. 2.5 hours

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Answer: Option B

Explanation:

Assume that the tank fills in x minutes

By Direct Proportion,

x1/y1 = x2/y2

220/1 = 45000/x

x = 45000/220

x = 204.54

x = 205 minutes (approx.)

Divide x by 60 in order to convert from Minutes to Hours

⇒ 205/60 = 3.41 hours

Estimating to nearest half hours,

The 45000 L tank is filled in 3.5 hours at the rate of 220 L/m

78 . If Tk. 45,000 was invested in a share when the price per share was Tk. 90 and Tk. 30,000 was invested when the price per share was Tk. 60, what was the average price per share purchased?

A. Tk. 80
B. Tk. 75
C. Tk. 77.5
D. None of these

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Answer: Option B

Explanation:

79 . If 15 men working at same rate can make 27 baskets in an hour, how many baskets would 45 workers make in 40 minutes?

A. 27
B. 54
C. 35
D. 40

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Answer: Option B

Explanation:

15 men working 60 minutes(1hr) can make 27 baskets

45 men working for 40 minutes can make = 27×45×40 / (15×60) = 54

80 . Two people were hired to clear a lawn for total of Tk450. They completed the job with one person working for 1 hour 20 minutes and the other working for 40 minutes. If they split the wage in proportion to the amount of time each spent working on the job, how much did the person who worked longer receive?

A. Tk.225
B. Tk.300
C. TK. 250
D. Tk.275

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Answer: Option B

Explanation:

the ratio between them is 80:40 or 2:1 , so 450*⅔=300.

NRBC BANK PO/TAO (16-06-2023) || 2023

81 . A dishonest trader mixes 2 kg of vegetable ghee costing Tk. 45 a kg with 3 kg of standard ghee costing Tk. 70 per kg. He sells the mixed ghee at Tk. 65 per kg. what is his percentage of profit?

A. 25%
B. 16.67%
C. 8.33%
D. 6%

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Answer: Option C

Explanation:

প্রশ্নে বলা হচ্ছে যে, 45 টাকা কেজি দরের 2 কেজি Vegetable ঘি'র সাথে 70 টাকা কেজি দরের 3 কেজি Standard ঘি'র সাথে Mix করে তা 65 টাকা কেজি দরে বিক্রয় করা হলো । শতকরা লাভের পরিমাণ কত ?
2 কেজি Vegetable ঘি'র ক্রয়মূল্য = 2 × 45 = 90 টাকা
আবার, 3 কেজি Standard ঘি'র ক্রয়মূল্য = 3 × 70 = 210 টাকা
(2 + 3) = 5 কেজি ঘি'র মোট ক্রয়মূল্য = 90 + 210 = 300 টাকা
আবার, 5 কেজি ঘি'র বিক্রয়মূল্য = 5 × 65 = 325 টাকা
লাভ হয় = (325−300300 × 100) = (25300 × 100) = 8.33%

82 . In a business Raj invested Tk. 700 for 5 months. Rafi invested Tk. 500 for 6 months and Rabi invested Tk. 300 for 8 months. If total profit was Tk. 445, how much money will Raj get as his share of profit?

A. Tk. 120
B. Tk. 150
C. Tk. 175
D. Tk. 200
D. None of these

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Answer: Option C

Explanation:

ratio of the investment of Raj:Rafi:Rabi = 700*5:500*6:300*8

= 3500:3000:2400

= 35:30:24

so raj share = 445*35/(35 + 30 + 24) = 175 tk

83 . In England is written as 1234526 and France as 785291, the Greece will be written as ---

A. 392291
B. 382292
C. 381191
D. 392191

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Answer: Option C

Explanation:

England = 1234526, so E = 1, n = 2, g = 3, 1 = 4, a = 5, d = 6
France = 785291, so f = 7 r = 8, c = 9
∴
Greece = 381191
[পরীক্ষার হলে, খেয়াল করুন Greece এ মাঝে তিনটি E আছে England এর E = 1 এবং France এর E ও 1 so Greece এর তিনটি E তে 1 আছে যেটিতে সেই Option টিই সঠিক, একমাত্র C অপশনটিতেই এটি করা হয়েছে। ]

84 . which one of the following numbers id completely divisible by 45?

A. 181560
B. 331145
C. 2033550
D. 202860

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Answer: Option C

Explanation:

181560/45=4034.66

331145/45=7358.77

2033550/45=45190

202860/45=4508

85 . Rashed can stuff advertising circulars into envelopes at the rate of 45 envelopes per minute and Reena require a minute and a half to stuff the same number of envelopes. Working together, how long will it take Rashed and Reena to stuff 300 envelopes?

A. 15 minutes
B. 4 minutes
C. 3 minutes 30 seconds
D. 3 minutes 20 seconds
D. 2 minutes

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Answer: Option B

Explanation:

86 . If the word EXAMINATION is written as 8912316354, what word does 456354 stand for?

A. NATION
B. RATION
C. NOTION
D. STATION

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Answer: Option C

Explanation:

87 . If ROSE is coded as 6821, CHAIR is coded as 73456 and PREACH is coded as 961473, what will be the code for SEARCH?

A. 216473
B. 214673
C. 246173
D. 214763

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Answer: Option B

Explanation:

88 . 30% apples out of 450 are rotten . How many apples are in good condition?

A. 125
B. 315
C. 240
D. 180

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Answer: Option B

Explanation:

450×(70/100)

= 315

89 . The face value of 8 in the number 458926 is -

A. 8000
B. 1000
C. 8
D. 8926

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Answer: Option C

Explanation:

458926 এখানে 8 এর face value 8 (Ans)

8 এর place value 8000

90 . How much time will it take for an amount of Tk 450 to yield Tk. 81 as interest at 4.5% per annum of simple interest?

A. 3.5 years
B. 4.5 years
C. 4 years
D. 5 years

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Answer: Option C

Explanation:

n = (I×100)/(p×r)

= (81×100)/(450×4.5)

= 4 years

91 . একটি ΔABC এ BC বাহুকে D পর্যন্ত বর্ধিত করা হলো, যেখানে ∠A=45°∠B=60°হলে ∠ACD?

A. 90°
B. 120°
C. 105°
D. 160°

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Answer: Option C

Explanation:

ত্রিভুজের বহিঃস্থ কোণ বিপরীত অন্তঃস্থ কোণদ্বয়ের সমষ্টির সমান .'.∠ACD=A+∠B
=45°+60°
=105°

92 . একটি ত্রিভুজের দু’টি কোণের মান 45°ও 60° হলে ত্রিবুজটির অপর কোনের মান কত?

A. ৫৫°
B. ৬৫°
C. ৮৫°
D. ৭৫°

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Answer: Option D

Explanation:

ত্রিভুজের তিন কোণের সমষ্টি 180 ডিগ্রি

দুটি কোণের মান 45 ও 60 ডিগ্রি হলে অপর কোণ 180-45-60=75 ডিগ্রি |

বাংলাদেশ পল্লী বিদ্যুতায়ন বোর্ড || মিটার রিডার কাম মেসেঞ্জার (04-05-2024)

93 . sinθ=45

A. $\frac{5}{4}$
B. $\frac{4}{9}$
C. $\frac{3}{5}$
D. $\frac{5}{3}$

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Answer: Option D

Explanation:

১৪ তম শিক্ষক নিবন্ধন পরীক্ষা (স্কুল পর্যায়) (25-08-2017)

94 . △ABC

A. $105 °$
B. $110 °$
C. $90 °$
D. $100 °$

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Answer: Option B

Explanation:

প্রাথমিক বিদ্যালয় সহকারী শিক্ষক নিয়োগ পরীক্ষা-2018-(১২ জেলা-৮১৬১-04) (24-04-2018)

95 . ∆ABC

A. $90 °$
B. $120 °$
C. $105 °$
D. $160 °$

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Answer: Option C

Explanation:

১২ তম শিক্ষক নিবন্ধন পরীক্ষা (স্কুল পর্যায়) (12-06-2016)

96 . sinθ=45

A. $4 / 3$
B. $3 / 4$
C. $3 / 5$
D. $5 / 4$

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Answer: Option A

Explanation:

১১ তম শিক্ষক নিবন্ধন পরীক্ষা (স্কুল পর্যায়) (12-12-2014)

97 . △ABC

A. $90 °$
B. $100 °$
C. $105 °$
D. $110 °$

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Answer: Option C

Explanation:

∠C=180-45-30=105°

(ans)

৯ম শিক্ষক নিবন্ধন পরীক্ষা (স্কুল পর্যায়) (23-08-2013)

98 . 45°

A. $1$
B. $0$
C. $\frac{1}{\sqrt{2}}$
D. $1 / 2$

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Answer: Option B

Explanation:

যদি A = 45' হয়,

তবে cos2A = cos (2*45) = cos90' = 0 (Ans:)

৮ম শিক্ষক নিবন্ধন পরীক্ষা (স্কুল পর্যায়) (31-08-2012)

99 . a+b=14, ab=45

A. $\pm 6$
B. $\pm 4$
C. $\pm 5$
D. $\pm 8$

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Answer: Option B

Explanation:

প্রাথমিক বিদ্যালয় সহকারী শিক্ষক নিয়োগ পরীক্ষা-2005-(চট্টগ্রাম বিভাগ-02) (25-08-2005)

100 . △ABC

A. $8 \sqrt{3}$
B. $12 \sqrt{3}$
C. $24 \sqrt{3}$
D. $48 \sqrt{3}$

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Answer: Option B

Explanation:

∠ A + ∠ B + ∠ C = 180 ° 45 ° + 75 ° + ∠ B = 180 ° ∠ B = 180 ° - 120 ° ∠ B = 60 ° ∴ ক্ষেত্রফল = \frac{1}{2} ×AB×BC× \sin θ = \frac{1}{2} \times 6 \times 8 \times \sin 60 ° = 24 \times \frac{\sqrt{3}}{2} = 12 \sqrt{3} বর্গ একক

বিভিন্ন মন্ত্রণালয় | ব্যক্তিগত কর্মকর্তা | 28-02-2022

101 . In a group of people solicited by a charity, 30% contributed Tk 40, 45% contributed Tk 20 and the rest contributed Tk 2. If the charity received a total of Tk 300 from the people who contributed Tk 2, how much was contributed by the entire group?

A. Tk 12600
B. Tk 25800
C. Tk 1200
D. Tk 12900

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Answer: Option D

Explanation:

Here, the rest is=(100-45+30)%=25%

People who contributed with 2 taka=(300/2)=150

Now,

25% means 150

So, 30% means (150×30)/25=180 people

So, 45% means (150×45)/25=270 people

Total contributed

=300+(180×40)+(270×20)

=12900 taka

(ans)

বাংলাদেশ বনশিল্প উন্নয়ন কর্পোরেশন সহকারী ব্যবস্থাপক-০২.০৮.২০১৩

102 . At 8.45how would you tell the time?

A. It is a quarter before nine
B. It is quater to nine
C. It is a quater to nine
D. It is a quater for nine

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Answer: Option C

Explanation:

A quarter অর্থ - ১৫ মিনিট। ১৫ মিনিট বাকি বোঝাতে a quarter to এবং ১৫ মিনিট বেশি বোঝাতে a quarter past ব্যবহৃত হয়। অর্থাৎ ৯টা বাজতে ১৫ মিনিট বাকি বোঝাতে It is a quarter to nine ব্যবহৃত হয়। সুতরাং সঠিক উত্তর (গ)।

পরিবেশ অধিদপ্তরের সহকারী পরিচালক-০৬.০৫.২০১১

103 . একটি সমদ্বিবাহু ত্রিভুজের সমান বাহুদ্বয়ের প্রত্যেকটির দৈর্ঘ 10 সেমি এবং বাহুদ্বয়ের অন্তরভুক্ত কোণ 45 ° হলে ত্রিভুজটির ক্ষেত্রফল কত বর্গ সেমি?

A. 25
B. 25 √ 2
C. 30
D. 25 √ 5

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Answer: Option B

Explanation:

যেকোনো ত্রিভুজের ক্ষেত্রফল \frac{1}{2} a b \sin C = \frac{1}{2} b c \sin A = \frac{1}{2} c a \sin B যেখানে, a,b ও c যথাক্রমেA,BওC এর বিপরীত বাহু। ∴ ক্ষেত্রফল= \frac{1}{2} ×10×10× \sin 45° বর্গ সেমি = 50 \times \frac{1}{\sqrt{2}} বর্গ সেমি = 25 \sqrt{2} বর্গ সেমি

সংস্থাপন মন্ত্রণালয়ের প্রশাসনিক কর্মকর্তা-১৩.০১.২০০৭

104 . The LCM and HCF of two numbers are 90 and 15 respectively . If one number is 45, the other number is-

A. 30
B. 60
C. 15
D. 75

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Answer: Option A

Explanation:

The other number is = (LCM*HCF) / one number

= (90*15)/45 = 30 (Ans)

সমন্বিত ৭ ব্যাংক ও ১টি আর্থিক | সিনিয়র_অফিসার | 27-11-2021

105 . Find out the wrong number in the series: 190, 166, 145, 128, 112, 100, 91

A. 100
B. 128
C. 145
D. 112

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Answer: Option B

Explanation:

Go on subtracting 24, 21, 18, 15, 12, 9 from the numbers to get the next number. 190 – 24 = 166 166 – 21 = 145 145 – 18 = 127 [Here, 128 is placed instead of 127] 127 – 15 = 112 112 – 12 = 100 ... and so on. Therefore, 128 is wrong.

সমন্বিত ১০ ব্যাংক ও আর্থিক প্রতিষ্ঠান || অফিসার (জেনারেল) (08-03-2024)

106 . The average weight of A, B and C is 45 kg. If the average weight of A and B is 40 kg and that of B and C is 43 kg, then the weight of B is .

A. 17 kg
B. 31 kg
C. 20 kg
D. None of these

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Answer: Option B

Explanation:

A, B ও C এর গড় ওজন = 45 কেজি

৩ জনের ওজনের যোগফল = (45x3) = 135 কেজি

A ও B এর গড় ওজন = 40 কেজি

A ও B এর ওজনের যোগফল = (40x2) = 80 কেজি

B ও C এর গড় ওজন = 43 কেজি

B ও C এর ওজনের যোগফল = (43x2) = 86 কেজি

A+B+B+C এর ওজনের যোগফল = (80+86) = 166 কেজি

বা,A+B+C+B=166

বা,135+B=166 (মান বসিয়ে পাই A+B+C=135)

বা,B=166-135

=31

সুতরাং, B এর ওজন = (166-135) = 31 কেজি |

সমন্বিত ৮ ব্যাংক ও ১ টি আর্থিক প্রতিষ্ঠান || অফিসার জেনারেল (10-03-2023)

107 . A train crossed a platform in 45 seconds travelling with a speed of 36 km/h. If the length of train is 200 meters, then what will be the length (in meters) of the platform?

A. 250
B. 200
C. 300
D. 350

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Answer: Option A

Explanation:

t= 45 s

v= 36km/h = 36×(5/18)= 10m/s

S= vt = 45×10= 450m

Length of the platform= (450-200) = 250m.

সমন্বিত ১০ ব্যাংক ও আর্থিক প্রতিষ্ঠান || সিনিয়র অফিসার (10-11-2023)

108 . A person has to cover a distance of 6 km in 45 minutes. If he covers one-half of the distance in two-thirds of the total time; to cover the remaining distance in the remaining time , his speed (in km/hr ) must be :

A. 6
B. 8
C. 12
D. 15

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Answer: Option C

Explanation:

Note:
Half = One-half = 1/2
One and a half = 1½

Here,
one-half of the distance = 6 X ½ = 3 km | So, remaining distance = (6-3) = 3 km
two-thirds of the total time = 45 X ⅔ = 30 min | remaining time = (45-30) = 15 min

∴ Speed = [∵ 1 hr = 60 min]
= 12 km/hr (Ans:)

Bangladesh Bank - Assistant Director - 2016

109 . Average mark in Math in a class of 40 students is 45. Average mark of all the 30 boys is 50. Then the average mark obtained by the girls is :

A. 30
B. 35
C. 25
D. 40

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Answer: Option A

Explanation:

No. of students = 40

No. of Boys = 30

No. of Girls = 10

Average of 40 stuents = 45

Total of students = 45 *40 = 1800

Aerage of 30 students = 50

Total of 30 = 30 * 50 = 1500

Total of 10 girls = 1800 - 1500 = 300

Average mark of 10 girls = 300/10 = 30

Bangladesh Bank - Assistant Director - 2010

110 . When a student weighing 45 dgs left a class , the average weight of the remaining 59 students increased by 200g . What is the average weight of the remaining 59 students ?

A. 57 kgs
B. 56.8 kgs
C. 58.2 kgs
D. 52.2 kgs
D. None of these

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Answer: Option A

Explanation:

Let, Average weight of 59 students = x kg

Total weight of 59 students = 59x

Total weight of 60 students = (59x + 45)

Average weight of 60 students = ( 59x + 45)/60

x - ( 59x - 45)/60 = 200/1000

( 60x - 59x - 45) /60 = 1/5

5x - 225 = 60

x = 285 /5 = 57kgs.

Bangladesh Bank - Assistant Director - 2009

111 . a2+b2=45

A. 21
B. 18
C. 13
D. 24

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Answer: Option B

Explanation:

{(a - b)}^{2} = a^{2} + b^{2} - 2 a b = 3^{2} = 45 - 2 a b = 9 = 45 - 2 a b = 2 a b = 36 a b = 18

112 . ∆ABC

A. $8 \sqrt{3}$
B. $12 \sqrt{3}$
C. $24 \sqrt{3}$
D. $48 \sqrt{3}$

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Answer: Option B

Explanation:

∠ A + ∠ B + ∠ C = 180 ° \Rightarrow 45 ° + 75 ° + ∠ B = 180 ° \Rightarrow 120 ° + ∠ B = 180 ° ∠ B = 60 ° অতএব, ক্ষেত্রফল - \frac{1}{2} \times AB \times BC \times sinθ = \frac{1}{2} \times 6 \times 8 \times \sin 60 ° = \frac{1}{2} \times 6 \times 8 \times \frac{\sqrt{3}}{2} = 12 \sqrt{3}

113 . △ABC

A. 105°
B. 110°
C. 90°
D. 10°

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Answer: Option A

Explanation:

শর্তমতে,

∠C = 180° - (∠A + ∠B)

= 180° - (45° + 30°)

= 180º - 75°

= 105°

114 . একটি ইঞ্জিন তাপ আধারে 45 kJ তাপ ছেড়ে দেয় এবং 15 kJ কাজ সম্পন্ন করে। ইঞ্জিনটির কর্মদক্ষতা কত?

A. 67%
B. 25%
C. 50%
D. 45%

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Answer: Option A

Explanation:

আন্ডারগ্র্যাজুয়েট প্রোগ্রাম ভর্তি পরীক্ষা || প্রযুক্তি ইউনিট (16-06-2023) ২০২২-২০২৩ || ঢাকা বিশ্ববিদ্যালয় || 2023

115 . একটি গাড়ীর চাকার ব্যাসার্ধ 0.45 মিটার এবং চাকাটি প্রতি সেকেন্ডে 9 বার ঘোরে । গাড়ীটির গতিবেগ ঘন্টায় কত কিলোমিটার?

A. 99
B. 112.79
C. 95.99
D. 91.61

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Answer: Option D

Explanation:

গাড়ির চাকার পরিধি হল: 2 * π * 0.45 = 2.8284 গাড়ির চাকা প্রতি সেকেন্ডে 2.8284 মিটার দূরত্ব অতিক্রম করে। গাড়ির গতিবেগ হল: 2.8284 * 9 = 25.456 গাড়ির গতিবেগ ঘন্টায় কত তা নির্ধারণ করতে, আমরা মিটারে প্রতি সেকেন্ডের গতিবেগকে ঘন্টায় মাইলে রূপান্তর করি: 25.456 * 3600 / 1000 = 91.61 সুতরাং, গাড়ির গতিবেগ ঘন্টায় 91.61 কিলোমিটার

C unit (বিজ্ঞান) গ্রুপ-১ (২০২২-২০২৩)।। (29-05-2023) || রাজশাহী বিশ্ববিদ্যালয় || 2023

116 . Official records show that nearly 60% of all traffic fatalities occur at speeds under 45 km/hour and within 5 kms from home. Which of the following is the most logical conclusion to draw from the official records?

A. Most driving is done at more than 45 kms per hour and within 5 kms from home.
B. No logical conclusion can be drawn from official records.
C. A person is less likely to have a fatal accident if he always drives over 45kms per hour.
D. Direct correlation exists between distance driven and the likelihood from a fatal accident.

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Answer: Option B

Explanation:

117 . 125, 80, 45, 20 ?

A. 5
B. 8
C. 10
D. 12

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Answer: Option A

Explanation:

D ইউনিট : ২০১৮-২০১৯ || চট্টগ্রাম বিশ্ববিদ্যালয় || 2018

118 . England কে লিখা যায় 1234526 দ্বারা এবং France কে লিখা যায় 78591 দ্বারা তবে Greece কে লিখা যাবে ----..

A. 83929 দ্বারা
B. 392191 দ্বারা
C. 382292 দ্বারা
D. 381191 দ্বারা

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Answer: Option D

Explanation:

D3 ইউনিট : ২০১৬-২০১৭ || চট্টগ্রাম বিশ্ববিদ্যালয় || 2016

119 . The Dhaka bound train is due----- 3.45.

A. at
B. in
C. on
D. from

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Answer: Option A

Explanation:

B ইউনিট : 2016-2017 || রাজশাহী বিশ্ববিদ্যালয় || 2016

120 . 2m/s

A. $\frac{1}{g}$
B. $\frac{2}{g}$
C. $\frac{1}{2 g}$
D. $\frac{\sqrt{2}}{g}$

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Answer: Option C

Explanation:

আন্ডারগ্র্যাজুয়েট প্রোগ্রাম ভর্তি পরীক্ষা || বিজ্ঞান ইউনিট (সাত কলেজ) ২০২৩-২০২৪ || ঢাকা বিশ্ববিদ্যালয় || 2024

121 . tan sin-145=?

A. $(\frac{4}{5})$
B. $(\frac{4}{3})$
C. $(\frac{3}{4})$
D. $(\frac{3}{5})$

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Answer: Option B

Explanation:

আন্ডারগ্র্যাজুয়েট প্রোগ্রাম ভর্তি পরীক্ষা || প্রযুক্তি ইউনিট (18-05-2024) ২০২৩-২০২৪ || ঢাকা বিশ্ববিদ্যালয় || 2024

122 . θ=cos-145

A. $\frac{16}{25}$
B. $\frac{9}{25}$
C. $\frac{8}{25}$
D. $\frac{7}{25}$

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Answer: Option D

Explanation:

A Unit : 2023-24 (set-2) || গুচ্ছ বিশ্ববিদ্যালয়(GST) || 2024

123 . 12

A. $\frac{1}{3}$
B. $- \frac{1}{3}$
C. $\frac{1}{2}$
D. $- \frac{1}{2}$

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Answer: Option B

Explanation:

A Unit : 2023-24 (set-2) || গুচ্ছ বিশ্ববিদ্যালয়(GST) || 2024

124 . x2+y2=9

A. $x + y \pm 3 \sqrt{2} = 0$
B. $x - y \pm 3 \sqrt{2} = 0$
C. $x + 2 \pm 2 \sqrt{3} = 0$
D. $x - y \pm 2 \sqrt{3} = 0$

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Answer: Option B

Explanation:

A Unit : 2023-24 (set-2) || গুচ্ছ বিশ্ববিদ্যালয়(GST) || 2024

125 . sin-145+cos-123

A. $\tan^{- 1} \frac{2}{11}$
B. $\tan^{- 1} \frac{32}{11}$
C. $\tan^{- 1} \frac{11}{2}$
D. $- \tan^{- 1} \frac{2}{11}$

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Answer: Option C

Explanation:

C unit (বিজ্ঞান) শিফট-১ (২০২৩-২০২৪) || (05-03-2024) || রাজশাহী বিশ্ববিদ্যালয় || 2024

126 . If DEB is to BED then 456 is to-

A. 564
B. 645
C. 654
D. 456

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Answer: Option C

Explanation:

127 . Paid back, because of, toxic, dumped, discharges

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Answer: Option False

Explanation:

128 . সমুদ্রপৃষ্ঠ 45 সেমি বৃদ্ধি পেলে 2050 সাল নাগাদ বাংলাদেশে Climate refugee হবে-

A. ৩ কেটি
B. ৩.৫ কোটি
C. ৪ কোটি
D. ০৯ কোটি

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Answer: Option B

Explanation:

F ইউনিট : 2017-2018 || রাজশাহী বিশ্ববিদ্যালয় || 2017

129 . 100m দীর্ঘ একটি ট্রেন 45 Kmh-1 বেগে চলে 1 Km দীর্ঘ একটি ব্রিজ অতিক্রম করে। ব্রিজটি অতিক্রম করতে ট্রেনটির কত সময় লাগবে?

A. 88 সেকেন্ড
B. 18 সেকেন্ড
C. 80 সেকেন্ড
D. 24 সেকেন্ড

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Answer: Option A

Explanation:

শিক্ষাবর্ষঃ ২০২২-২০২৩ || মেডিকেল কলেজ ভর্তি পরীক্ষার প্রশ্নসমুহ || 2022

130 . RJ45 কানেক্টর ব্যবহার করে ৩০টি কম্পিউটার একটি সুইচের সাথে সংযোগ স্থাপন করা হলো। নেটওয়ার্কটিতে কোন টপোলজির ব্যবহার হয়েছে?

A. স্টার
B. রিং
C. বাস
D. মেশ

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Answer: Option C

Explanation:

C Unit : 2020-2021 || গুচ্ছ বিশ্ববিদ্যালয়(GST) || 2020

131 . একটি পাথরকে ভূমি থেকে 45 m উঁচু দালানের উপর থেকে ভূমির সমান্তরালে 16 m s − 1 বেগে নিক্ষেপ করা হলো। পাথরটির ভূমিতে পৌঁছাতে কত সময় লাগবে?

A. 2.8 s
B. 0.4 s
C. 3 s
D. 1 s

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Answer: Option C

Explanation:

ক ইউনিট ২০১৩-২০১৪ || ঢাকা বিশ্ববিদ্যালয় || 2013

132 . We travelled ______ 6:45 train, which arrived at 8:30.

A. by
B. on the
C. by the
D. in the

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Answer: Option C

Explanation:

D ইউনিট : 2012-2013 || রাজশাহী বিশ্ববিদ্যালয় || 2012

133 . নেপাল সেনাবাহিনীর 45 তম চিফ অফ আর্মি স্টাফ হিসেবে দায়িত্ব নিলেন —

A. অশোক রাজ সিগদেল।
B.
C.
D.

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Answer: Option A

Explanation:

134 . পিতা ও মাতার বয়সের গড় 45 বৎসর। আবার পিতা, মাতা ও এক পুত্রের বয়সের গড় 36 বৎসর। পুত্রের বয়সÑ

A. 9 বছর
B. 14 বছর
C. 15 বছর
D. 18 বছর

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Answer: Option D

Explanation:

টেলিযোগাযোগ মন্ত্রণালয়ের সহকারী পরিচালক (আইন)-১৫.০৩.২০১৩

135 . মনি,রনি ও জনির 10 টি ম্যাচের রানের গড় যথাক্রমে 50,72,ও45 এবং পরিমিত ব্যবধান যথাক্রমে 5.6 ও 3 হলে এবং এদের মধ্য হতে একজনকে দল নিত হলে কাকে নেয়া উচিৎ?

A. রনি
B. জনি
C. মনি
D. একজনকে নেয়া যায় না

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Answer: Option C

Explanation:

C ইউনিট : 2010-2011 || রাজশাহী বিশ্ববিদ্যালয় || 2010

136 . কোন দ্রবনের pH এর মান 8.45 হলে হাইডোজেন আয়নের ঘনমাত্রা কত হবে?

A. 5.00e-4 M
B. 3.55e-9 M
C. 1.82e-3 M
D. 0.925 M

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Answer: Option B

Explanation:

A ইউনিট : 2008-2009 || জগন্নাথ বিশ্ববিদ্যালয় || 2008

137 . 2x+3y+c=0 রেখার সহিত 45 0 কোণে ছেদকারী রেখার সমীকরণ হলো-

A. x+5y+6=0
B. x+y+7=0
C. 5x+y+7=0
D. 2x+2y+7=0
D. কোনোটিই নয়

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Answer: Option C

Explanation:

A ইউনিট : ২০০৬-২০০৭ || চট্টগ্রাম বিশ্ববিদ্যালয় || 2006

138 . In a mixture of 45 liters, the ratio of milk and water is 4 : 1. How much water must be added to make the mixture ratio 3 : 2?

A. 20 liters
B. 15 liters
C. 25 liters
D. 10 liters

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Answer: Option B

Explanation:

জনতা ব্যাংক || অফিসার (আরসি) (28-06-2024)

139 . 45° কোণের সম্পূরক কোণের মান কত ?

A. 180°
B. 135°
C. 90°
D. 45°

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Answer: Option B

Explanation:

ঔষধ প্রশাসন অধিদপ্তর || অফিস সহায়ক (26-04-2024)

140 . Find the value of X in the given equation: 35% of 1500 + X =45% of 4200 - 320

A. 910
B. 980
C. 1012
D. 1045

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Answer: Option D

Explanation:

B Unit (Set Code: I) 2020-21 || জাহাঙ্গীরনগর বিশ্ববিদ্যালয় || 2021

141 . পিতা ও পুত্রের বয়সের সমষ্টি 45 বছর। পিতার বয়স পুত্রের বয়সের চেয়ে 25 বছর বেশী। পুত্রের বয়স কত বছর?

A. 5
B. 10
C. 15
D. 20

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Answer: Option B

Explanation:

ডিপ্লোমা ইন নার্সিং সায়েন্স এন্ড মিডওয়াইফারি ভর্তি পরীক্ষা ২০২১-২০২২ || নার্সিং(Nursing) ভর্তি পরীক্ষা || 2021

142 . C মানে +, D মানে x, B মানে +, A মানে -, বুঝানো হলে 330B6A32C45D12 =?

A. 525
B. 543
C. 558
D. 563

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Answer: Option D

Explanation:

B Unit 2020-21 || জাহাঙ্গীরনগর বিশ্ববিদ্যালয় || 2021

143 . বর্তমানে পিতার বয়স পুত্রের বয়সে 6 গুণ । 5 বছর ও তাদের বয়সের সমষ্টি হবে 45 বছর। পিতার বর্তমান বয়স কত?

A. 20
B. 25
C. 45
D. 30

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Answer: Option D

Explanation:

ডিপ্লোমা ইন নার্সিং সায়েন্স এন্ড মিডওয়াইফারি ভর্তি পরীক্ষা ২০২০-২০২১ || নার্সিং(Nursing) ভর্তি পরীক্ষা || 2020

144 . আনুভূমিকের সাথে 45 ∘ কোণে নিক্ষিপ্ত একটি বস্তুর আনুভূমিক পাল্লা 100m । এর সর্বোচ্চ উচ্চতা-

A. 14.43m
B. 17.68m
C. 25.00m
D. 43.00m

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Answer: Option C

Explanation:

D Unit 2019-20 2nd shift || ইসলামী বিশ্ববিদ্যালয় || 2020

145 . (1, 2) বিন্দুগামী এবং x অক্ষের ধনাত্মক দিকের সাথে 45∘ কোণ উৎপন্ন করে এমন সরলরেখার সমীকরণ-

A. y=x-1
B. y=x+1
C. y=-x+1
D. y=x

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Answer: Option B

Explanation:

D Unit 2019-20 2nd shift || ইসলামী বিশ্ববিদ্যালয় || 2020

146 . আমরা জানি, ত্রিভুজের তিন কোণের সমষ্টি = 180° ∴ ৩য় কোণের পরিমাণ = {180° (45° + 50°)} = 85° (Ans)

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Answer: Option False

Explanation:

147 . A train of 220 m long is moving at 45 km/h. The time taken by the trian to cross a tunnel of 260 m long is-/ একটি ২২০ মিটার দীর্ঘ ট্রেন ৪৫ কিমি/ঘণ্টা বেগে চলেছে। ২৬০ মিটার দীর্ঘ একটি টানেল অতিক্রম করতে ট্রেনটি যে সময় নেবে তা হল-

A. 25 sec
B. 35 sec
C. 38 sec
D. 40 sec

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Answer: Option C

Explanation:

ওয়েজ আর্নার্স কল্যাণ বোর্ড || সহকারী পরিচালক (22-11-2024) || 2024

148 . cos45°=3

A. $\frac{1}{6}$
B. 6
C. $\sqrt{6}$
D. $\frac{1}{\sqrt{6}}$

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Answer: Option D

Explanation:

পিএসসি || সহকারী পরিবার পরিকল্পনা কর্মকর্তা (26-11-2022)

149 . a2+b2=45

A. $\frac{1}{3}$
B. $\frac{1}{2}$
C. $\frac{3}{4}$
D. $\frac{2}{3}$

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Answer: Option B

Explanation:

মাইক্রোক্রেডিট রেগুলেটরী অথরিটি || সহকারী পরিচালক (12-08-2023) || 2023

150 . ত্রিভুজ ABC এর ‍ A = 45° B = 45° হলে ত্রিভুজ ABC হলো-

A. সমবাহু ত্রিভুজ
B. সমদ্বিবাহু ত্রিভুজ
C. সমকোণী ত্রিভুজ
D. খ ও গ উভয়ই

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Answer: Option D

Explanation:

যে কোন ত্রিভুজের তিন কোণের সমষ্টি = ১৮০ ° so, তৃতীয় কোণটি = 180 °-90 ° = 90 °

দুদক | কনস্টেবল | 23-09-2022

151 . 45 ° কোণের সম্পূরক কোণ কোনটি ?

A. 45 °
B. 90 °
C. 135 °
D. 180 °

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Answer: Option C

Explanation:

স্থানীয় সরকার পল্লী উন্নয়ন ও সমবায় মন্ত্রণালয়ের সহকারী প্রকৌশলী (সিভিল) - 23.02.2017

152 . xy = 45

A. $\frac{23}{72}$
B. $\frac{72}{53}$
C. $\frac{53}{72}$
D. $\frac{53}{72}$

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Answer: Option C

Explanation:

\frac{x}{y} = \frac{4}{5} \Rightarrow \frac{y}{x} = \frac{5}{4} \Rightarrow \frac{y - x}{y + x} = \frac{5 - 4}{5 + 4} = \frac{1}{9} ∴ (\frac{5}{8} + \frac{y - x}{y + x}) = \frac{5}{8} + \frac{1}{9} = \frac{45 + 8}{72} = \frac{53}{72}

সংসদ সচিবালয় ।। ব্যাক্তিগত কর্মকর্তা (নন ক্যাডার) (15-05-2023)

153 . tan 45° = ?

A. 1
B. 2
C. 3
D. 4

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Answer: Option A

Explanation:

পরিবেশ অধিদপ্তর ।। অফিস সহায়ক (28-04-2023)

154 . x2+y2=9

A. $x + y \pm 3 \sqrt{2} = 0$
B. $x - y \pm 3 \sqrt{2} = 0$
C. $x + 2 \pm 2 \sqrt{3} = 0$
D. $x - y \pm 2 \sqrt{3} = 0$

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Answer: Option B

Explanation:

155 . 1-tan2A1+tan2A

A. 1
B. $\frac{1}{2}$
C. 0
D. 2

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Answer: Option C

Explanation:

1 - tan²A / 1 + tan²A

= 1 - ( tan450)²/ 1 + ( tan450)²

= 1 - 1 /1 + 1

= 0/2

= 0

৬ষ্ঠ বেসরকারি প্রভাষক নিবন্ধন পরীক্ষা (10-12-2010) || 2010

156 . If sin 45° = √2 A , then A = ?

A. 1
B. $\frac{1}{2}$
C. $\frac{1}{\sqrt{2}}$
D. $\frac{1}{\sqrt{3}}$

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Answer: Option B

Explanation:

বিমান বাংলাদেশ এয়ারলাইন্স লি.।। এডমিন অ্যাসিস্ট্যান্ট (04-03-2023)

157 . if a2+b2=45

A. $\frac{1}{3}$
B. $\frac{1}{2}$
C. $\frac{2}{3}$
D. $\frac{1}{4}$

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Answer: Option B

Explanation:

বাংলাদেশ ব্যাংক || অফিসার (ক্যাশ) (21-07-2023) || 2023

158 . x5-27=5x7-45

A. 1
B. 2
C. 3
D. 4

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Answer: Option A

Explanation:

7x - 10 = 25x - 28
25x - 7x = 28 - 10
18x = 18
সুতরাং x = 1

পরিবেশ অধিদপ্তরের সহকারী পরিচালক-০৬.০৫.২০১১

159 . A person saved Tk. 5 in buying a dress on sale. If he spent Tk. 45, then he saved:

A. 5%
B. 10%
C. 15%
D. None of these

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Answer: Option B

Explanation:

One Bank Ltd || Special Cadre Officer (03-01-2025) || 2025

160 . sin945°

A. $0$
B. $\frac{1}{2}$
C. $\frac{- 1}{\sqrt{2}}$
D. $\frac{\sqrt{3}}{2}$

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Answer: Option C

Explanation:

বস্ত্র ও পাট মন্ত্রণালয়ের টেক্সাটাইল ইনস্টিউট ও টেক্সাটাইল ইঞ্জিয়ারিং কলেজ ইনস্ট্রাক্টর (ডিটিআই) | ২৭.০৯.২০১৮

161 . y=45,1+y+1-y1+y-1-y

A. $1$
B. $2$
C. $- 2$
D. $4$

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Answer: Option B

Explanation:

162 . 45

A. $\frac{1}{2}$
B. $\frac{2}{3}$
C. $\frac{3}{4}$
D. $\frac{5}{7}$

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Answer: Option A

Explanation:

মহিলা ও শিশুবিষয়ক মন্ত্রণালয়ের অধীন উপজেলা মহিলা বিষয়ক কর্মকর্তা-১৩.০২.২০১৬

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