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

1 . একটি ধনাত্মক সংখ্যার সাথে 4 যােগ করে যােগফলকে বর্গ করলে 625 হয়। সংখ্যাটি কত?

A. 20
B. 22
C. 21
D. 25

View Answer

Discuss in Forum

Workspace

Report

Answer: Option C

Explanation:

2 . If 10 students scored 61, how many students scored more than or equal to 62?

A. 37
B. 47
C. 17
D. 27
D. None of them

View Answer

Discuss in Forum

Workspace

Report

Answer: Option E

Explanation:

There is given a table of Mark distribution

35-48, 49-60, 61-75, 76-88, 89-100

No. Of students: 11, 25, 21, 9, 5

Solution :

Given that 10 students score 61, then rest (21-10)=11 students scores range 62 to 75.

Though 76 to 100 are more than 62, so we took the number of rest students.

So, total number of students who score 62 or more is (11+9+5)=25.

Our answer is 25.

3 . If each angle of a regular polygon is 162°, how many sides does it have?

A. 12
B. 10
C. 8
D. 16
D. 20

View Answer

Discuss in Forum

Workspace

Report

Answer: Option E

Explanation:

4 . If 62 =34 + 4x. what is x ?

A. x =16
B. x = -16
C. x =7
D. x =5

View Answer

Discuss in Forum

Workspace

Report

Answer: Option C

Explanation:

62 = 34 + 4x

4x = 62 - 34

x = 28/4

x = 7

Senior Officer (IT) - Sonali-Janata-BD Krishi-BD Development Bank Ltd - 30.11.2018

5 . International efforts to protest animals often aim to prevent animals from going exist or losing their natural habitats. many countries prohibit imports of ivory through laws that Many countries prohibit imports of ivory through laws that commonly include the African Elephant conversion Act of 1989. but ivory remains in demand in. various parts of the world. According to a 2013 report from the Los Angeles Times in 2012 at least 25,000 African elephants were slaughtered by criminal gangs eager to market the lucrative ivory from their tusk. The poachers' take has risen to alarming levels over the last twelve years. with about one in 17 wild elephants being fallen in 2017, by some estimate Elephant populations have fallen from 5 million a century ago to fewer than 420,000 today. The situation is equally worse for other species . In united States ,623 animal species are listed mammalian specs such a bear, foxes ocelots, otters panthers, rats and wales. The International Union for conversation of Nature (IUCN) Produces a red list of animal and plant species that are endangered around the world However the mountains gorillas in Eastern Africa are making a comeback with a 26 percent increase in population after many years of conversation efforts. Such success are due of the fact that there are most protected areas in the world, including wildlife refuges and reserves. Producing res list can help to-

A. motivate the hunters
B. combat the situation
C. save the sorld
D. rescue African animals

View Answer

Discuss in Forum

Workspace

Report

Answer: Option C

Explanation:

6 . The profit earned after selling an article for Tk. 3,362 is the same as the loss incurred after selling the article for Tk. 2,36. At what selling price will a trader make a 20% profit on this article?

A. 4639.4
B. 4769.6
C. 4830.8
D. None of these

View Answer

Discuss in Forum

Workspace

Report

Answer: Option D

Explanation:

Let the cost price of the article be Tk. x.

∴ 3362 − x = x − 2346

∴ x = C.P. =	3362 + 2346	= 2,854/ -
	2

∴ S.P. corresponding to a 20% profit = 1.2 × 2854 = Tk. 3,424.8/ -

Hence, option D is correct.

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

7 . A company's profits have doubled for each of the last 5 years . If the total profits for the last 5 years were TK. 62 million , what were the profits in the first year ?

A. 1
B. 2
C. 4
D. 5
D. 6

View Answer

Discuss in Forum

Workspace

Report

Answer: Option B

Explanation:

Let, first year profit = x, as profit have doubled for each year, so

2nd year profit = 2x

3rd year profit = 2x ×2 = 4x

4th year profit = 4x×2 = 8x

5th year profit = 8x × 2 = 16x

Total profit = x + 2x + 4x + 8x + 16x = 31x

According to the question

31x = 62

x = 2

Bangladesh Bank - Assistant Director - 2013 ||

8 . 0.9623 - 31 = কত?

A. -30.0377
B. -29.0377
C. -32.8246
D. -31.0377

View Answer

Discuss in Forum

Workspace

Report

Answer: Option A

Explanation:

9 . The average monthly income of P and Q is Tk. 5050. The average monthly income of Q and R is Tk. 6250 and the average monthly income of P and R is Tk. 5200. The monthly income of P is Tk. -

A. 4000
B. 3500
C. 4050
D. 5000

View Answer

Discuss in Forum

Workspace

Report

Answer: Option A

Explanation:

P + Q = 10100

Q + R = 12500

P + R = 10400

Now,

P - Q = 10400 - 12500

P - Q = -2100

P + Q = 10100

So, 2P = 8000

Or, P = 4000

10 . The addition of 10 digits is 462. The average of their first four digits is 52 and the average of last 5 digits is 38. What is the fifth digit?

A. 64
B. 60
C. 50
D. 62

View Answer

Discuss in Forum

Workspace

Report

Answer: Option A

Explanation:

Sum of 10 integer is 462. The average of first 4 number is 52 and the average of last 5 number is 38. What is the fifth number ?

Sum of first 4 number = 4 X 52 = 208
Sum of last 5 number = 5 X 38 = 190
So, sum of 9 number = (208 + 190) = 398

So, the 5th number = (462 - 398) = 64 (Ans:)

11 . In what ratio must tea at Tk. 62 per kg be mixed with tea at Tk. 72 per kg so that the mixture must be worth Tk. 64.50 per kg?

A. 3 : 1
B. 3 : 2
C. 4 : 3
D. 3 : 5

View Answer

Discuss in Forum

Workspace

Report

Answer: Option A

Explanation:

12 . Divide Rs.5625 among A, B and C so that A receive 1/2 as much as B & C and B 1/4 of what A and C together receive?

A. 1125, 1870, 2630
B. 2625, 1875, 1125
C. 1875, 1125, 2625
D. 6

View Answer

Discuss in Forum

Workspace

Report

Answer: Option C

Explanation:

Let they receive A, B & C Rs. respectively.

Now, A = (B + C) / 2

or, 2A = B + C - - - - - - - - - - (i)

Again, B = (A + C) / 4

or, 4B = (A + C)

or, 4B = (B + C) / 2 + C

or, 4B = B/2 + C/2 + C

or, 4B - B/2 = 3C/2

or, 7B/2 = 3C/2

or, B = 3C/7 - - - - - - - (ii)

Now, 2A = 3C/7 + C [from (i)]

or, 2A = 10C/7

or, A = 5C/7 - - - - - - (iii)

From (ii) and (iii),

B : C = 3 : 7

C : A = 7 : 5

So, A : B : C = 5 : 3 : 7

A will receive = 5 / (5 + 3 + 7) × 5625 = 1875 Rs.

B will receive = 3 / (5 + 3 + 7) × 5625 = 1125 Rs.

C will receive = 7 / (5 + 3 + 7) × 5625 = 2625 Rs.

13 . In 1962, the story of Helen Keller's life ____ into a film , The Miracle Worker .

A. made
B. was made
C. makes
D. has been made

View Answer

Discuss in Forum

Workspace

Report

Answer: Option D

Explanation:

14 . Which is the odd number out in the series: 462, 385, 198, 253, 781, 594?

A. 683
B. 198
C. 781
D. 594

View Answer

Discuss in Forum

Workspace

Report

Answer: Option C

Explanation:

15 . 3182596 is to 65283 and 6742835 is to 53476. Therefore 746258 is to?

A. 85674
B. 86547
C. 85647
D. 86574

View Answer

Discuss in Forum

Workspace

Report

Answer: Option C

Explanation:

16 . The profit earned after selling an article for Tk.3,362 is the same as the loss incurred after selling the article for Tk.2,346. At what selling price will a trader make a 20% profit on this article?

A. 4639.4
B. 4769.6
C. 4830.8
D. None of these

View Answer

Discuss in Forum

Workspace

Report

Answer: Option D

Explanation:

Let the cost price of the article be Tk. x.

∴ 3362 − x = x − 2346

∴ x = C.P. = 3362 + 2346 = 2,854/ -

∴ S.P. corresponding to a 20% profit = 1.2 × 2854 = Tk. 3,424.8/ -

Hence, option D is correct.

Two Combined Bank Recruitment Test Post: Officer - 28/09/2018

17 . A number when divided by 627 leaves a remainder 43. By dividing the same number by 19, the remainder will be-

A. 32
B. 43
C. 13
D. 5

View Answer

Discuss in Forum

Workspace

Report

Answer: Option D

Explanation:

Let number be the x.

We know that, dividend = divisor X quotient + remainder When x is divided by 627, the remainder is 43.

x = 627k+ 43, where k is quotient.

Here x is multiple of 627.

Let us consider the factor s of 627, 6273 × 19 × 11

We have to find the remainder when dividing by 19 so expressing the equation in term of 19 is helpful.

As 4319x2+5

Therefore x = 3 × 19 × 11 × k+ (19×2+5)=19(33k+2) +5 x = 19(33k+2) +5

So, on dividing x by 19 the remainder will be 5.

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

18 . The population of town increased from 1,75,000 to 2,62,500 in a decade. The average percentage increase of the population per year is --

A. 4.7%
B. 5%
C. 6%
D. 8.55%
D. None of these

View Answer

Discuss in Forum

Workspace

Report

Answer: Option B

Explanation:

The population increased in 10 years = 262500 - 175000 = 87500

The population increased in 1 years = 87500/10

Now, By 175000 peoples 1 years increased 8750

By 1 peoples 1 years increased = 8750/175000

By 100 peoples 1 years increased = ( 8750×100)/175000 = 5%

19 . If the mean of numbers 28, x, 42, 78 and 104 is 62, what is the mean of 48,62,98,124 and x?

A. 58
B. 390
C. 78
D. 310

View Answer

Discuss in Forum

Workspace

Report

Answer: Option C

Explanation:

20 . Find the compound interest on Tk. 15,625 for 9 months at 16% per annum compounded quarterly.

A. Tk. 1851
B. Tk. 1941
C. Tk. 1951
D. Tk. 1961

View Answer

Discuss in Forum

Workspace

Report

Answer: Option C

Explanation:

P = TK.15, 625, n = 9 months = 3 quarters, R = 16% p.a = 4% quarter.

Amount = TK.[ 15625 × (1 + 4/100)2 = TK.

(15626 × 26/25 × 26/25 × 26/25) = TK.17576

C.I = TK.(17576 - 15625) = TK.1951

21 . There are two stations of length 162 meters and 120 meters respectively . A train takes 15 seconds to pass first station and 18 seconds to pass another station . Determine the length of the train ?

A. 90 m
B. 70 m
C. 100 m
D. 95 m

View Answer

Discuss in Forum

Workspace

Report

Answer: Option A

Explanation:

22 . 6423+62512=3k

A. $9 \frac{2}{3}$
B. $11 \frac{1}{3}$
C. $12 \frac{2}{5}$
D. $13 \frac{2}{3}$

View Answer

Discuss in Forum

Workspace

Report

Answer: Option C

Explanation:

৩১ তম বিসিএস প্রিলিমিনারি টেস্ট (27-05-2011)

23 . 62

A. $6$ একক
B. $12$ একক
C. $20$ একক
D. $24$ একক

View Answer

Discuss in Forum

Workspace

Report

Answer: Option B

Explanation:

আমরা জানি,

বর্গের কর্ণ , ✓2a = 6✓2 একখ

= > a = (6✓2/✓2) একক

= > a = 6 একক

বর্গের পরিসীমা, 4a = 4×6

= 24 একক

∴বর্গের পরিসীমার অর্ধেক = 24/2 একক

= 12 একক

১৫ তম শিক্ষক নিবন্ধন পরীক্ষা (স্কুল পর্যায়) (19-04-2019)

24 . 2×3=812,4×5=1620

A. 2428
B. 2442
C. 42
D. 1214

View Answer

Discuss in Forum

Workspace

Report

Answer: Option A

Explanation:

6 × 4 = 24, 7 × 4 = 28 6 × 7 = 2428.

৩৯ তম (বিশেষ) বিসিএস প্রিলিমিনারি টেস্ট (স্বাস্থ্য ক্যাডার) (03-08-2018)

25 . The electricity bill of a certain establishment is partially fixed and partially varies as the number of units of electricity consumed. Wen in a certain month 540 units are sonsumed. the bill is TK 1800. In another month 620 units are consumed are the bill is Tk 2040. Inayet another month if 500 units are consumed what would be the bill (in Tk) for that month?

A. 1950
B. 1560
C. 1840
D. 1680

View Answer

Discuss in Forum

Workspace

Report

Answer: Option D

Explanation:

মনেকরি,
নির্ধারিত সর্বনিম্ন চার্জের পরিমাণ = x টাকা
এবং প্রতি ইউনিট বিদ্যুতের দাম = y টাকা
প্রশ্নমতে,
540y + x = 1800.......... (i)
620y + x = 2040.......... (ii)
(i) - (ii)⇒
- 80y = - 240
⇒ y = 3

.: (i) ⇒
540 x3 + x = 1800
⇒1620 + x = 1800
⇒ x = 1800 - 1620
⇒ x = 180
.: 500 ইউনিটের জন্য মোট খরচ
= 180 + (500 × 3)
= 180 + 1500 = 1680 টাকা

তিতাস গ্যাস ট্রান্সমিশন অ্যান্ড ডিস্ট্রিবিউসন কো. লি.-সহকারী ব্যবস্থাপক-08-10-2021

26 . A train takes 18 sec to pass completely through a station 162m long and 15 seconds through another station 120m long.The length of the train-

A. 70m
B. 80m
C. 90m
D. 100m

View Answer

Discuss in Forum

Workspace

Report

Answer: Option C

Explanation:

Train length + 162m pass in 18 seconds

Train length + 120m pass in 15 seconds

( - ) So, 42 m passes in 3 seconds

In 3 seconds it passes 42 m

In 1 seconds it passes = 42/3 m = 14m

Now, in 15 seconds it passes = ( 14×15) m = 210m

Train length + 120m = 210m

Train length = ( 210 - 120)m = 90m.

পল্লী কর্ম সহায়ক ফাউন্ডেশনের অ্যাসিসট্যান্ট ম্যানেজার-০৭.০৩.২০১৪

27 . একটি ধনাত্মক সখ্যার সাথে 4 যোগ করে যোগফলকে বর্গ করলে 625 হয়। সখ্যাটি কত?

A. 20
B. 22
C. 21
D. 25

View Answer

Discuss in Forum

Workspace

Report

Answer: Option C

Explanation:

মনে করি, ধনাত্মক সংখ্যা x প্রশ্নমতে, {(x+4)}^{2} = 625 \Rightarrow x^{2} + 2 . x . 4 + 4^{2} = 625 \Rightarrow x^{2} + 8 x + 16 = 625 \Rightarrow x^{2} + 8 x - 609 = 0 \Rightarrow x^{2} + 29 x - 21 x - 609 = 0 \Rightarrow x (x + 29) - 21 (x + 29) = 0 \Rightarrow (x + 29) (x - 21) = 0 হয়, (x + 29) =0 বা, x=-29 অথবা, (x - 21) = 0 বা, x=21 যেহেতু x ধনাত্মক সংখ্যা। সুতরাং x=21

সংস্থাপন মন্ত্রণালয়ের প্রশাসনিক কর্মকর্তা-১৩.০১.২০০৭

28 . The value of a machine is Tk.6250. Its value decreases by 10% during the first year, 20% during the second year and 30% during the third year. What will be the value of the machine after 3 years?

A. 2650
B. 3050
C. 3150
D. 3750

View Answer

Discuss in Forum

Workspace

Report

Answer: Option C

Explanation:

সমন্বিত ৭ ব্যাংক || অফিসার (ক্যাশ) (24-05-2024)

29 . The average monthly income of P and Q is Tk.5050. The average monthly income of Q and R is Tk.6250 and the average monthly income of P and R is Tk.5200. Calculate the monthly income of P.

A. Tk.4000
B. Tk.6100
C. Tk.6400
D. Tk. 16500

View Answer

Discuss in Forum

Workspace

Report

Answer: Option A

Explanation:

P + Q = 10100

Q + R = 12500

P + R = 10400

Now,

P - Q = 10400 - 12500

P - Q = -2100

P + Q = 10100

So, 2P = 8000

Or, P = 4000.

সমন্বিত ৮ ব্যাংক ও ১ টি আর্থিক প্রতিষ্ঠান || সিনিয়র অফিসার (সাধারণ) (20-01-2023)

30 . log 5 625= কত?

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

View Answer

Discuss in Forum

Workspace

Report

Answer: Option D

Explanation:

\log_{5} 625 = \log_{5} 5^{4} = 4 \log_{5} 5 = 4.1 4

সোনালী ও জনতা ব্যাংক - অফিসার(আইটি) - 02.10.2021

31 . The average of two numbers is 62. If 2 is added to the smaller number, the ratio between the numbers becomes 1 :2 . The smaller number is -

A. 30
B. 40
C. 60
D. 84

View Answer

Discuss in Forum

Workspace

Report

Answer: Option B

Explanation:

Bangladesh Bank - Officer - 2015

32 . Sum of 10 integer is 462. The average of first 4 number is 52 and the average of last 5 number is 38. What is the fifth number ?

A. 64
B. 60
C. 50
D. 62

View Answer

Discuss in Forum

Workspace

Report

Answer: Option A

Explanation:

Q: Sum of 10 integer is 462. The average of first 4 number is 52 and the average of last 5 number is 38. What is the fifth number ?

Sum of first 4 number = 4 X 52 = 208
Sum of last 5 number = 5 X 38 = 190
So, sum of 9 number = (208 + 190) = 398

So, the 5th number = (462 - 398) = 64 (Ans:)

Bangladesh Bank - Assistant Director - 2015

33 . 3=3

A. 6
B. 24
C. 18
D. 36

View Answer

Discuss in Forum

Workspace

Report

Answer: Option D

Explanation:

34 . 64 23+62512=3k

A. $9 \frac{2}{3}$
B. $11 \frac{1}{3}$
C. $12 \frac{2}{5}$
D. $13 \frac{2}{3}$

View Answer

Discuss in Forum

Workspace

Report

Answer: Option D

Explanation:

(64) \frac{2}{3} + (625) \frac{1}{2} = 3 k \Rightarrow (4^{3}) \frac{2}{3} + \{{(25)}^{2}\} \frac{1}{2} = 3 k \Rightarrow 4^{2} + 25 = 3 k \Rightarrow 16 + 25 = 3 k \Rightarrow 41 = 3 k \Rightarrow k = \frac{41}{3} = 13 \frac{2}{3}

35 . 3log3625+log293-2log16125

A. $\log^{2}$
B. $\log^{3}$
C. $\log^{5}$
D. $\log^{7}$

View Answer

Discuss in Forum

Workspace

Report

Answer: Option A

Explanation:

36 . 226Ra এর অর্ধায় 1620 বছর। কত বছর তেজস্ক্রিয় নিঃসরণের পর এক চতুর্থাংশ অবশিষ্ট থাকবে?

A. 810
B. 1620
C. 3240
D. 405

View Answer

Discuss in Forum

Workspace

Report

Answer: Option C

Explanation:

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

37 . কোনো অর্গান থেকে নি:সৃত সুরগুলোর কম্পাঙ্ক 256, 268, 512, 620, 768, 1020, 1280, 1992 ও 2048 Hz হলে নিচের কম্পাঙ্কগুলোর মধ্যে মূল সুরের অষ্টক কোনটি?

A. 256 Hz
B. 268 Hz
C. 2048 Hz
D. 512 Hz

View Answer

Discuss in Forum

Workspace

Report

Answer: Option D

Explanation:

C ইউনিট : 2019-2020 (গ্রুপ-১) || 2019

38 . x-262x-3

A. 2, 3
B. 2,-6
C. 2,-3
D. -1,6

View Answer

Discuss in Forum

Workspace

Report

Answer: Option D

Explanation:

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

39 . যদি তড়িৎপ্রবাহের সমীকরণ I (t) =20 sin ( 628t) হয়, তাহলে তড়িৎ এর কম্পাঙ্ক ও rms মান কত?

A. 100Hz & 14.14 A
B. 200 Hz & 15 A
C. 100 Hz and 20 A
D. 50 Hz and 14. 14 A

View Answer

Discuss in Forum

Workspace

Report

Answer: Option A

Explanation:

ক ইউনিট ২০১৫-২০১৬ || ঢাকা বিশ্ববিদ্যালয় || 2015

40 . একটি কার্ণো ইঞ্জিনের উৎসের তাপমাত্রা 400K। এই তাপমাত্রায় উৎস থেকে ইঞ্জিনটি 836J তাপ গ্রহন করে এবং সিংকে 627J তাপ বর্জন করে। ইঞ্জিনটির দক্ষতা কত ?

A. 25%
B. 28.90%
C. 26.80%
D.

View Answer

Discuss in Forum

Workspace

Report

Answer: Option A

Explanation:

H ইউনিট : 2013-2014 || রাজশাহী বিশ্ববিদ্যালয় || 2013

41 . একটি দিক পরিবর্তী তড়িৎ প্রবাহের সমীকরন i=30 sin 628t হলে এর কম্পাঙ্ক কত?

A. 100 Hz
B. 314 Hz
C. 628 Hz
D. 120 Hz

View Answer

Discuss in Forum

Workspace

Report

Answer: Option A

Explanation:

A ইউনিট : 2009-2010 || জগন্নাথ বিশ্ববিদ্যালয় || 2009

42 . প্রতিটি 60 W -এর 5 টি বাতি কয়েক ঘন্টা করে জ্বালানো হয়। প্রতি ইউনিট বিদ্যুৎ মূল্য 3.00 টাকা এবং মাসে ( 30 দিন) বিদ্যুৎ বিল 162.00 টাকা হলে দৈনিক বিদ্যুৎ ব্যবহারের সময়কাল -

A. 10 h
B. 6 h
C. 8 h
D. 4 h

View Answer

Discuss in Forum

Workspace

Report

Answer: Option B

Explanation:

ক ইউনিট (2003-2004) || ঢাকা বিশ্ববিদ্যালয় || 2003

43 . একটি 'কার্নো' ইঞ্জিনের উৎসের তাপমাত্রা 400 K । এই তাপমাত্রায় উৎস থেকে এই ইঞ্জিন 836 J তাপ গ্রহণ করে আর সিংকে 627 J তাপ বর্জন করে। তাহলে এ ইঞ্জিনের দক্ষতা -

A. 25%
B. 26.8%
C. 28.9%
D. 36%

View Answer

Discuss in Forum

Workspace

Report

Answer: Option A

Explanation:

ক ইউনিট (2002-2003) || ঢাকা বিশ্ববিদ্যালয় || 2002

কোর্স ক্যাটাগরি

প্রয়োজনীয় লিঙ্ক