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

1 . 425 টাকার ৪ বছরের সুদ 85 টাকা হলে সুদের হার শতকরা বার্ষিক কত টাকা হবে?

A. 5%
B. 9%
C. 4%
D. 7%

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Answer: Option A

Explanation:

৪২৫ টাকার ৪ বছরে সুদ ৮৫ টাকা

১ " ১ " " ৮৫/(৪২৫ * ৪) "

১০০ " ১ " " (৮৫ * ১০০)/(৪২৫ * ৪) = ৫%

৭ম শিক্ষক নিবন্ধন পরীক্ষা (স্কুল পর্যায়) (02-12-2011)

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 . Average of 17 even consecutive iintegers is 42. What is the 3rd number from the begining of the series when the integers are arranged in an increasing sequence?

A. 32
B. 34
C. 36
D. 28
D. 30

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Answer: Option E

Explanation:

There are 8 even integers before 42 and the other 8 integers are after 42.

The third of them will be 42 - 2 - 2 - 2 - 2 - 2 - 2 = 42 - 12 = 30.

[Alternatively, The first one will be 42 - (8 x 2) = 42 - 16 = 26.

The third one will be 26 + 2 + 2 = 30]

3 . If a books bought at prices ranging from Tk.200 to Tk.350 are sold at prices ranging from Tk.300 to Tk.425. What is the greatest possible profit that might be made in selling books?

A. 600
B. 400
C. 450
D. 500
D. 1800

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Answer: Option E

Explanation:

4 . 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

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Answer: Option C

Explanation:

5 . Pick the odd one out - 331, 482, 551, 263, 383, 242, 111

A. 263
B. 383
C. 242
D. 111
D. None of them

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Answer: Option B

Explanation:

In each number except 383, the product of first and third digits is the middle one.

Bangladesh Bank - Assistant Director - 2012

6 . The average age of A,B,C,D and E is 40 years. The average age of A and B is 35 years and the average of C and D is 42 years. Age of E is -

A. 48
B. 46
C. 42
D. 45

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Answer: Option B

Explanation:

A + B + C + D + E = 40 × 5 = 200
A + B = 35 × 2 = 70
C + D = 42 × 2 = 84
Therefore,
E = (A + B + C + D + E) - (A + B + C + D)
E = 200 - 70 - 84
E = 46 years

7 . Average of 17 even consecutive integers is 42. What is the third integer from the beginning of the series when the integers are arranged in an increasing sequence ?

A. 28
B. 29
C. 30
D. 34
D. 36

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Answer: Option C

Explanation:

There are 8 even integers before 42 and the other 8 integers are after 42.

The third of them will be 42 - 2 - 2 - 2 - 2 - 2 - 2 = 42 - 12 = 30.

[Alternatively, The first one will be 42 - (8 x 2) = 42 - 16 = 26.

The third one will be 26 + 2 + 2 = 30]

Bangladesh Bank - Assistant Director - 2011

8 . N can do a piece of work in 80 days. He works at it for 10 days and then M lone finishes the remaining work in 42 days. In how much time will N and M, workings together, finish the work?

A. 24 days
B. 30 days
C. 36 days
D. 20 days

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Answer: Option B

Explanation:

সিকিউরিটি প্রিন্টিং কর্পোরেশন বাংলাদেশ | সহকারী ব্যবস্থাপক- 26-11-2021

9 . The average daily wages of female workers in a factory is Tk. 30 and than of male workers is Tk. 42. If the average wages of all the workers is Tk. 37, what is the ratio of male to female workers.

A. 3 : 2
B. 4 : 3
C. 7 : 5
D. None

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Answer: Option C

Explanation:

গ্যাস ট্রান্সমিশন কোম্পানি লিমিটেড | সহকারী ব্যবস্থাপক | ২০.০৪.২০১৮

10 . Sue planted 4 times as many apple seeds as she planted orange seeds. 15% of the apple seeds grew into trees, and 10% of the orange seeds grew into trees. If a total of 420 apple trees and orange trees grew from the seeds, how many orange seeds did Sue plant?

A. 540
B. 600
C. 660
D. 720

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Answer: Option B

Explanation:

Let's use algebra to solve this problem.

Let A be the number of apple seeds and O be the number of orange seeds that Sue planted.

According to the given information:

1. A = 4O (Sue planted 4 times as many apple seeds as orange seeds).
2. 15% of the apple seeds grew into trees, so 0.15A apple trees grew.
3. 10% of the orange seeds grew into trees, so 0.10O orange trees grew.
4. The total number of trees is 420: A + O = 420.

Now, we can set up a system of equations based on the above information:

From equation 1, we have: A = 4O

From equations 2 and 3, we know the total number of trees: 0.15A + 0.10O = 420

Now, substitute the value of A from equation 1 into equation 2: 0.15(4O) + 0.10O = 420

Simplify the equation: 0.60O + 0.10O = 420

Combine like terms: 0.70O = 420

Now, solve for O (the number of orange seeds): O = 420 / 0.70 O = 600

So, Sue planted 600 orange seeds.

বাংলাদেশ সিকিউরিটিজ অ্যান্ড এক্সচেঞ্জ কমিশন(সহকারী পরিচালক) 19-06-2021

11 . 5p - 3q = 42; 5p + 3q = 18 Given this systems of equations, what is the value of |p| + |q|?

A. 2
B. 4
C. 6
D. 10

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Answer: Option D

Explanation:

বাংলাদেশ সিকিউরিটিজ অ্যান্ড এক্সচেঞ্জ কমিশন(সহকারী পরিচালক) 19-06-2021

12 . Tahir gets paid travelling expense's according to the distance he drives in his car plus a weekly sum of Tk. 21. He claims for 420 miles travelled and receives an expenses payment of Tk. 105 . What is the payment rate per mile?

A. 20 cents
B. 32 cents
C. 48 cents
D. 51 cents

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Answer: Option A

Explanation:

বাংলাদেশ অর্থনৈতিক অঞ্চল কর্তৃপক্ষ (BEZA) | সহকারী ব্যবস্থাপক | ৩০.১১.২০১৮

13 . 8, 14, 24, 42, ......, 142

A. 76
B. 84
C. 100
D. 112

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Answer: Option A

Explanation:

14 . দুইটি সংখ্যার গ.সা.গু 7 এবং ল. সা. গু 84 । দুইটির একটি 42 হলে, অপরটি কত?

A. 7
B. 14
C. 21
D. 28

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Answer: Option B

Explanation:

অপর সংখ্যা = দুটি সংখ্যার গ.সা.গু × ল.সা.গু/একটি সংখ্যা
= 7 × 84/42
= 14

15 . The cost of 2 TV sets and a radio is Tk.7000, While 2 radios and one TV set togather cost Tk.4250. The cost of TV set is--

A. 3250
B. 3500
C. 3000
D. 3375

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Answer: Option A

Explanation:

2 x + y = 7000 ....(i)
x + 2y = 4250 .....(ii)
Solving (i) and (ii) we get,
x = 3250
∴ Cost of T.V. set is Rs. 3250.

16 . A man buys pen at the rate of Tk.420 per 100 pieces and sells them at Tk.60 per dozen. If the profit is Tk.100, how many pens did he buy?

A. 100
B. 125
C. 150
D. 160

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Answer: Option B

Explanation:

The cost price of 100 pens = TK. 420 Cost price of 1 pen = TK. (420/100) = TK. 4.2 Selling price of 1 dozen pens = TK. 60 Selling price of 1 pen = TK. (60/12) = TK. 5

Profit per pen = Selling price per pen - Cost price per pen = TK. (5 - 4.2) = TK. 0.8

Let the number of pens bought be x Total profit = TK. 100

Profit per pen × number of pens = Total profit TK. 0.8 × x = TK. 100 x = (TK. 100)/(TK. 0.8) = 125

Therefore, the man bought 125 pens.

17 . For how many years does a person need to invest his Tk.3000 at 7% to earn Tk.420 in simple interest?

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

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Answer: Option B

Explanation:

18 . A student who secures 20% marks in an examination fails by 30 marks another student secures 32% marks gets 42 marks more than those required to pass. The percentage of marks required to pass is--

A. 28%
B. 30%
C. 20%
D. 25%

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Answer: Option D

Explanation:

19 . A fruit seller had some apples. He sells 40% and still has 420 apples. Originally, he had--

A. 672
B. 700
C. 588
D. 600

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Answer: Option B

Explanation:

20 . A, B and C enter into partnership with investments in the ratio of 5 : 7 : 8. If at the end of the year A's share of profit is Tk.42360, ow much is the total profit?

A. Tk.169440
B. Tk.183000
C. Tk.196700
D. Tk.168440

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Answer: Option A

Explanation:

A's profit = 42,360 = 5x

therefore x = 42,360/5 = 8472

total profit = 5x + 7x + 8x = 20x = 20*8472

total profit = 1,69,440 tk.

21 . 60 ছাত্রের মধ্যে 42 জন ফেল করলে পাসের হার কত?

A. 25%
B. 28%
C. 30%
D. 32%

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Answer: Option C

Explanation:

60 জন ছাত্রের মধ্যে পাস করে = 60 - 42 জন

= 18 জন

60 জন ছাত্রের মধ্যে পাস করে 18 জন

1 " " " " " = 18/60 "

100 " " " " = 18 × 100 /60 জন

= 30%

22 . The Code of Criminal Procedure, 1898-এর Section 342-এর কার্যক্রমে অভিযুক্তের দৃষ্টি আকর্ষণ করা হয় ---

A. চার্জশিটের প্রতি
B. গঠিত চার্জের প্রতি
C. নির্ধারিত সাজার প্রতি
D. প্রাপ্ত সাক্ষ্যের প্রতি

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Answer: Option D

Explanation:

১০ তম বিজেএস (সহকারী জজ) প্রাথমিক পরীক্ষা (20-05-2016)

23 . log4256 = কত?

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

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Answer: Option D

Explanation:

log4^256

= log4^4^4

= 4 log4^4

= 4×1

= 4

24 . একটি বইয়ের দাম 420 টাকা এবং এই দাম প্রকৃত দামের 80%। বাকি দাম সরকার ভর্তুকি দিলে বই প্রতি কত টাকা ভর্তুকি দেয়া হয়?

A. 50 টাকা
B. 40 টাকা
C. 20 টাকা
D. 60 টাকা

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Answer: Option D

Explanation:

25 . Arafat has TK. 420. He purchased fifty mangoes and thirty oranges with the whole amount. He then chose to return six mangoes for nine oranges as both quantities are equally priced What is the price of each Mango in Tk?

A. 4.00
B. 4.50
C. 5.00
D. 6.00

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Answer: Option D

Explanation:

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

26 . The number of rooms at Hotel G is 10 less than twice the number of rooms at Hotel 11. If the total number of rooms at Hotel G and Hotel H is 425 , what is the number of rooms at Hotel G?

A. 140
B. 140
C. 200
D. 280

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Answer: Option D

Explanation:

1st condition, G = 2H - 10
2nd condition, G + H = 425
H = 425 - G
Now, G = 2(425 - G) - 10
G = 850 - 2G - 10
G + 2G = 840
3G = 840
G = 280

পল্লী কর্ম সহায়ক ফাউন্ডেশন সহকারী ব্যবস্থাপক ০২. ০৮.২০১৯

27 . If 653042 stands for VOLUME, than 4031 stands for

A. MULE
B. MLEU
C. VOLU
D. UMLE

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Answer: Option A

Explanation:

NRBC Bank PLC || Trainee Assistant Officer (TAO) (26-10-2024) || 2024

28 . 3182596 is to 65283 and 6742835 is to 53476. Therefore 746258 is to?

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

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Answer: Option C

Explanation:

29 . A bond gets matured in 10 years . invested TK. 42,000 in this bond and received Tk. 105000 once the bond matured . If the bond was under simple interest . then what was the rate of interest per annum?

A. 10%
B. 12.5%
C. 15%
D. 7.5%

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Answer: Option C

Explanation:

জনতা ও রূপালী ব্যাংক- অফিসার ১৩.১২.২০১৯

30 . What is the amount of equal installment , if a sum of TK. 1428 due 2 years hence has to be completely has to be completely repaid in 2 equal annual installments starting next year?

A. TK. 700
B. Tk. 800
C. Tk. 650
D. cannot be determined

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Answer: Option D

Explanation:

As short - cut of installment for 2 installments is given by
Installment = P/{(100/100 + R) + (100/100 + R)2}
There is the need of rate (R) which is unavailable in the question.
So, we cannot determine the answer.

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

31 . In a group of 60 people, 27 like coke and 42 like borhani and each person likes at least one of the two drinks How many people like both coke and borhani?

A. 9
B. 129
C. 69
D. 15

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Answer: Option A

Explanation:

Total= coke + pepsi - both

বা, 60= 27+42 - both

বা, 60= 69- both

বা, both= 69-60= 9

Sonali &amp- Janata Bank Ltd. Senior Officer (IT/ICT) 08.06.2018

32 . In a horticulture experiment , 200 seeds were planted in plot I and 300 were planted in plot II. 57 percent of the seeds in plot I germinated and 42 percent of the seeds in plot II germinated, what percent of total numbers of planted seeds was germinated?

A. 45.5%
B. 46.5%
C. 48.0%
D. 49.5%
D. None of them

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Answer: Option C

Explanation:

33 . How much will it cost to fence in a field that is 12 feet long and 42 feet wide with fence that cost $10 a yard?

A. $180
B. $360
C. $504
D. $540
D. $1080

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Answer: Option B

Explanation:

1 yard = 3 feet

Thus, Length of the field = 12 feet

= 4 yard

Width of the field = 42 feet

= 42/3 yard

= 14 yard

Now, Total length of the fence = (2*4) + (2*14) yards = 36 yards

As, the cost of one yard is 10,

therefore cost of 36 yard = 36*10 = 360.

Sonali-Janata-Agrani &amp-Rupali Bank Ltd. &amp-RAKUB Officer Recruitment 28.03.2008

34 . A fruit seller had some apples. He sold 40% apples and still has 420 apples left. Originally he had :

A. 588 apples
B. 600 apples
C. 672 apples
D. 700 apples

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Answer: Option D

Explanation:

Remaining apples ( 100 - 40) % = 60%

60% সমান 420 টি আপেল

100 % সমান = 420 × 100% /60% টি = 700 টি আপেল।

35 . In a group of 60 people like Coca cola and 42 people like Pepsi Cola. Each person likes at least one of the two drinks. How many of these people like both Coca Cola and Pepsi Cola ?

A. 7
B. 9
C. 11
D. 13

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Answer: Option B

Explanation:

যেহেতু সবাই দুইটির যেকোনো একটি পছন্দ করে সেহেতু

T = n(c) + n(p) - n(B) + None

60 = 27 + 42 - n(B) + 0

n(B) = 69 - 60

n(B) = 9

36 . A fruit seller had some apples. He sold 40% of he apples and still has 420 apples left. How many apples did he have initially?

A. 588
B. 600
C. 672
D. 700
D. None of these

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Answer: Option D

Explanation:

Apples remain unsold = ( 100 - 40) = 60%

60% = 420 apples

1 % = 420/60 apples

100% = ( 420×100)/60 apples = 700 apples

He hand 700 apples initially.

37 . The price of a mobile set Tk. 4200, which includes 20% profit mark up. What is the cost of the mobile set ?

A. Tk. 3360
B. Tk. 840
C. Tk. 3500
D. none of these

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Answer: Option C

Explanation:

If SP 120 then CP 100

If SP 4200 then CP (100×4200)/120=3500 taka

(ans)

38 . A, B C center into partnership with investments in the ratio of 5:7:8. If at the end of the year A's share of profit is Tk. 42360, how much is the total profilt?

A. Tk. 169,440
B. Tk. 183,000
C. Tk. 196,700
D. Tk. 168,440

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Answer: Option A

Explanation:

মনে করি, A, B, C এর বিনিয়োগের পরিমাণ যথাক্রমে

5x, 7x, 8x

বিনিয়োগগুলোর যোগফল = 5x + 7x + 8x = 20x

A এর 5x অংশের মুনাফা হয় 42360 টাকা

সম্পূর্ণ 20x অংশের মুনাফা হয় ( 42360 × 20x) /5x = 169440 টাকা

39 . A man buys pen at the rate of TK. 420 per 100 pieces and sells them at TK. 60 per dozen . If the profit is TK. 100, how many pens did he buy ?

A. 100
B. 125
C. 150
D. 160
D. None of these

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Answer: Option B

Explanation:

The cost price of 100 pens = TK. 420 Cost price of 1 pen = TK. (420/100) = TK. 4.2 Selling price of 1 dozen pens = TK. 60 Selling price of 1 pen = TK. (60/12) = TK. 5

Profit per pen = Selling price per pen - Cost price per pen = TK. (5 - 4.2) = TK. 0.8

Let the number of pens bought be x Total profit = TK. 100

Profit per pen × number of pens = Total profit TK. 0.8 × x = TK. 100 x = (TK. 100)/(TK. 0.8) = 125

Therefore, the man bought 125 pens.

40 . 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

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Answer: Option C

Explanation:

41 . 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:

42 . Which one of the following is the next number in the series : 7, 7, 14, 42, 168-----?

A. 336
B. 504
C. 672
D. 840
D. None of these

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Answer: Option D

Explanation:

7  ×  1  =  7;7  ×  2  =  14; 14  ×  3  =  42; 42  ×  4  =  168; 168  ×  5  =  840

43 . Pick the odd one out -331, 482, 551, 263, 383, 242, 111

A. 263
B. 383
C. 242
D. 111
D. None of them

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Answer: Option C

Explanation:

The odd one out in the given list is 242.

All the other numbers in the list are odd, while 242 is the only even number.

44 . On dividing an individual number by 342, we get 47 as remainder. If the same number is divided by 18, what will be the remainder?

A. 19
B. 15
C. 13
D. 11

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Answer: Option D

Explanation:

45 . Club A has 20 members and Club B has 27. If a total of 42 people belong to the two clubs, how many people belong to both clubs?

A. 3
B. 4
C. 5
D. 6

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Answer: Option C

Explanation:

(20+27)-42 =5

Global Islami Bank || Probationary Officer (10-02-2024) || 2024

46 . How many pieces of 85 cm length can be cut from a rod 42.5 meters long?

A. 30
B. 40
C. 60
D. None of these

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Answer: Option D

Explanation:

42.5 meters = 4250cm

টুকরার সংখ্যা = 4250/85 টি = 50 টি

47 . The cost of preparing a cricket ground of rectangular shape at 70 paisa per square meter is Tk. 420. Find the perimeter of the field if its sides are in the ratio of 3 : 2.

A. 100m
B. 50m
C. 110m
D. 600m

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Answer: Option A

Explanation:

48 . Sum of P and Q is 72 and the value of R is 42. What is the average of P, Q and R?

A. 34
B. 36
C. 38
D. 40

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Answer: Option C

Explanation:

P + Q = 72; R = 42
∴ P + Q + R = 72 + 42 = 114
Their average = 114/3 = 38

Bangladesh Bank - Assistant Director - 2008

49 . 8597- ? = 7429 - 4358

A. 5426
B. 5706
C. 5526
D. 5476

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Answer: Option C

Explanation:

Step 1: 7429-4358 = 3071

Step 2:

let , 8597 - x = 3071

x = 8597 - 3071

x = 5526

Ans: 5526

পূবালী ব্যাংক লিমিটেড || জুনিয়র অফিসার (30-09-2023) || 2023

50 . Reena and Shaloo are partners in a business, Reena invest Tk. 35,000 for 8 months and Shallo invest Tk. 42,000 for 10 months. Out of a profit of Tk. 31,570, Reena's share is:

A. Tk. 9471
B. Tk. 12,628
C. Tk. 18,040
D. Tk. 18,942

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Answer: Option B

Explanation:

পূবালী ব্যাংক লিমিটেড || সিনিয়র অফিসার (30-09-2023) || 2023

51 . দুইটি সংখ্যার গ.সা.গু 7 এবং ল.সা.গু 84। সংখ্যা দুইটির একটি 42 হলে অপরটি কত?

A. 7
B. 14
C. 21
D. 28

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Answer: Option B

Explanation:

অপর সংখ্যা = দুটি সংখ্যার গ.সা.গু × ল.সা.গু/একটি সংখ্যা

= 7 × 84/42

= 14

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

52 . 425 টাকার 4 বছরের সুদ 85 টাকা হলে সুদের হার শতকরা বার্ষিক কত টাকা হবে ?

A. 5%
B. 9%
C. 4%
D. 7%

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Answer: Option A

Explanation:

৪২৫ টাকার ৪ বছরে সুদ ৮৫ টাকা

১ " ১ " " ৮৫/(৪২৫ * ৪) "

১০০ " ১ " " (৮৫ * ১০০)/(৪২৫ * ৪) = ৫%

53 . 42

A. 24
B. 4
C. 16
D. 32

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Answer: Option C

Explanation:

৩৬ তম বিসিএস প্রিলিমিনারি টেস্ট (08-01-2016)

54 . log33+log42

A. $\frac{2}{5}$
B. $\frac{5}{2}$
C. $\frac{7}{4}$
D. $\frac{11}{2}$

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Answer: Option B

Explanation:

১৭ তম শিক্ষক নিবন্ধন পরীক্ষা (স্কুল পর্যায়) (30-12-2022)

55 . 6423+62512=3k

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

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Answer: Option C

Explanation:

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

56 . x-42+y+32=100

A. $(0, 0)$
B. $(4, - 3)$
C. $(- 4, 3)$
D. $(10, 10)$

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Answer: Option B

Explanation:

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

57 . 60 জন ছাত্রের মধ্যে 42 জন ফেল করলে পাসের হার কত?

A. 25%
B. 28%
C. 30%
D. 32%

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Answer: Option C

Explanation:

60 জন ছাত্রের মধ্যে পাস করে = 60 - 42 জন
= 18 জন
60 জন ছাত্রের মধ্যে পাস করে 18 জন
1 " " " " " = 18/60 "
100 " " " " = 18 × 100 /60 জন
= 30%

১৫ তম শিক্ষক নিবন্ধন পরীক্ষা (স্কুল সমপর্যায়-২) (19-04-2019)

58 . x-42=0

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

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Answer: Option A

Explanation:

(x - 4)2 = 0

(x - 4)(x - 4) = 0

(x - 4) = 0 আবার (x - 4) = 0

x = 4, x = 4

সুতরাং সমীকরণটির মূল একটি এবং তা 4.

Correct Answer: - 1

(x - 4)2 = 0

(x - 4)(x - 4) = 0

(x - 4) = 0 আবার (x - 4) = 0

x = 4, x = 4

সুতরাং সমীকরণটির মূল একটি এবং তা 4.

Correct Answer: - 1

(x - 4)2 = 0

(x - 4)(x - 4) = 0

(x - 4) = 0 আবার (x - 4) = 0

x = 4, x = 4

সুতরাং সমীকরণটির মূল একটি এবং তা 4.

Correct Answer: - 1

(x - 4)2 = 0

(x - 4)(x - 4) = 0

(x - 4) = 0 আবার (x - 4) = 0

x = 4, x = 4

সুতরাং সমীকরণটির মূল একটি এবং তা 4.

Correct Answer: - 1

১১ তম শিক্ষক নিবন্ধন পরীক্ষা (স্কুল সমপর্যায়-২) (12-12-2014)

59 . log42

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

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Answer: Option C

Explanation:

log4 2=x

Or,4^x=2

Or, 2^2x=2

Or, 2x=1

Or, x=1/2

(ans)

১০ তম শিক্ষক নিবন্ধন পরীক্ষা (স্কুল পর্যায়) (30-05-2014)

60 . 3 liters of water is added to 11 liters of a solution containing 42% of alcohol in the water. The percentage of alcohol in the new misture is

A. 33%
B.
C.
D.

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Answer: Option A

Explanation:

3 লিটারে পানি যোগ করায় নতুন দ্রবনের পরিমান হবে=3+11=14 লিটার ∴ দ্রবণে অ্যালকোহলের পরিমান ছিল 11 এর 42%= \frac{11 \times 42}{100} লিটার ∴ নতুন দ্রবণে অ্যালকোহলের পরিমাণ= (\frac{\frac{11 \times 42}{100}}{42} ×100) %= (\frac{11 \times 42}{4200} ×100) %=33%

Microcredit Regulatory Authority (সহকারী পরিচালক) 05-03-2021

61 . If a boat goes 7km upstream in 42 minutes and the speed of the stream is 3kmph,then the speed of the boat in still water is-

A. 4.2 km/hr
B. 9km/hr
C. 13km/hr
D. 21km/hr

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Answer: Option C

Explanation:

Let, the speed of the boat in still water is x km/hr

the speed of stream in 3 km/hr

So, Upstrem speed of boat is ( x - 3) km/hr

According to question,

Upstrem speed of boat is = 7/42 km/mint

= (7×60)/42 km/hours = 10km/hours

So, x - 3 = 10

x = 10 + 3 = 13 km/hr

পল্লী কর্ম সহায়ক ফাউন্ডেশনের অ্যাসিসট্যান্ট ম্যানেজার-০৭.০৩.২০১৪

62 . How many pieces of 85 cm length stick can be cut from a 42.5 meters long stick?

A. 30
B. 40
C. 50
D. 60

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Answer: Option C

Explanation:

Given:

Length of the rod = 42.5 metres = 4250 cm

Pieces to be cut = 85 cm

Calculation:

Number of rods = 4250/85 = 50.

সমন্বিত ব্যাংক অফিসার (ক্যাশ) || (02-06-2023)

63 . The average age of A,B,C,D and E is 40 years. The average age of A and B is 35 years and the average of C and D is 42 years. Age of E is -

A. 48
B. 46
C. 42
D. 45

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Answer: Option B

Explanation:

A + B + C + D + E = 40 × 5 = 200
A + B = 35 × 2 = 70
C + D = 42 × 2 = 84
Therefore,
E = (A + B + C + D + E) - (A + B + C + D)
E = 200 - 70 - 84
E = 46 years.

অফিসার (ক্যাশ ) - Sonali | Rupali | BD Krishi | Rajshahi Krishi Unnayn | Investment Corporation Of Bangladesh - ২৯. ০৩.২০১৯

64 . Shonghoti and Shouhardo Clubs consist of 200 and 270 members respectively. If the total member of the two clubs is 420 then how many members belong to both clubs?

A. 30
B. 40
C. 50
D. 60

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Answer: Option C

Explanation:

We know,
Total = N(A) + N(B) - N(A∩B) + None.
⇒ 420 = 200 + 270 - N(A∩B) + 0
⇒ N(A∩B) = 470 - 420
⸫ N(A∩B) = 50

Assistant Director (General) 06.07.18

65 . x-42+y+32=100

A. (0,0)
B. (4,-3)
C. (-4,3)
D. (10,10)

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Answer: Option B

Explanation:

66 . 242-1?

A. 3
B. 5
C. 11
D. 17

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Answer: Option D

Explanation:

(2^{4}) - 1 (2^{4} + 1) (2^{4} - 1) [a^{2} - b^{2} = (a + b) (a - b)] = (16 - 1) (16 - 1) = 1715 = 17 \times 5 \times 3 . : . সর্বোচ্চ মৌলিক সংখ্যা = 17

67 . log42

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

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Answer: Option C

Explanation:

{\log_{4}}^{2} = x \Rightarrow 4^{x} = 2 \Rightarrow 2^{2 x} = 2 \Rightarrow 2 x = 1 \Rightarrow x = \frac{1}{2}

68 . A fruit seller had some apples. He sells 40% apples and still has 420 apples. How many apples he had at the begining?

A. 588 apples
B. 600 apples
C. 672 apples
D. 700 apples

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Answer: Option D

Explanation:

C ইউনিট ব্যবসা শিক্ষা (২০২৩-২০২৪) || (09-03-2024) || চট্টগ্রাম বিশ্ববিদ্যালয়

69 . একই দৈর্ঘ্য ও একই প্রস্থচ্ছেদবিশিষ্ট দুটি তারের আপেক্ষিক রোধ যথাক্রমে 10m ও 42m। দ্বিতীয় তারের রোধ, প্রথম তারের তুলনায় কেমন হবে?

A. এক-চতুর্থাংশ
B. অর্ধেক
C. দ্বিগুণ
D. চার গুণ

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Answer: Option D

Explanation:

দুটি তারের রোধের অনুপাত নির্ধারণ করতে, আমরা নিম্নলিখিত সূত্র ব্যবহার করতে পারি:

R = ρ * (l / A)

যেখানে:

R হলো রোধ (Ω)
ρ হলো নির্দিষ্ট প্রতিরোধ (Ωm)
l হলো দৈর্ঘ্য (m)
A হলো প্রস্থচ্ছেদ (m²)
এই সমস্যায়, আমাদের দেওয়া আছে:

দুটি তারের দৈর্ঘ্য (l) সমান
দুটি তারের প্রস্থচ্ছেদ (A) সমান
এবং, আমাদের জানা:

প্রথম তারের রোধ (R₁) = 10 Ω
দ্বিতীয় তারের দৈর্ঘ্য (l₂) = 42 m
আমাদের দ্বিতীয় তারের রোধ (R₂) নির্ধারণ করতে হবে।

সূত্র ব্যবহার করে:

R₂ = ρ * (l₂ / A)

প্রথম তারের জন্য একই সূত্র ব্যবহার করে:

R₁ = ρ * (l₁ / A)

দুটি সমীকরণ ভাগ করলে পাই:

R₂ / R₁ = (l₂ / l₁)

মান বসিয়ে:

R₂ / 10 Ω = 42 m / 10 m

R₂ = 42 Ω

সুতরাং, দ্বিতীয় তারের রোধ প্রথম তারের চেয়ে 4.2 গুণ বেশি।

উত্তর: চার গুণ

C unit (বিজ্ঞান) শিফট-২ (২০২৩-২০২৪) || (05-03-2024) || রাজশাহী বিশ্ববিদ্যালয় || 2024

70 . 42Ω

A. 1 kg
B. 10 g
C. 100 g
D. 1g

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Answer: Option D

Explanation:

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

71 . HPO42-

A. $H_{3} P O_{4}$
B. $H_{3} P {O_{4}}^{-}$
C. $P {O_{4}}^{3 -}$
D. $H P {O_{4}}^{-}$

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Answer: Option C

Explanation:

এসিডের অনুবন্ধী ক্ষারক (প্রশ্নে উল্লিখিত এসিড-H+)

HPO4^2- এর অনুবন্ধী ক্ষারক= (HPO4^2-)- H+ = PO4^3-

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

72 . A=4235;B=61;X=xy;

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

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Answer: Option A

Explanation:

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

73 . একটি তাপ ইঞ্জিনের কার্যকর বস্তু ৪০০ K তাপমাত্রার উৎস হতে 840 J তাপ গ্রহণ করে শীতল আধারে 420 J তাপ বর্জন করে। শীতল আধারের তাপমাত্রা-

A. 200 K
B. 420 K
C. 300 K
D. 100 K

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Answer: Option A

Explanation:

200 K।

কার্নো ইঞ্জিনের কার্যকারিতা নিম্নলিখিত সমীকরণের মাধ্যমে দেওয়া যেতে পারে:

η = 1 - T2/T1

যেখানে,

η হল ইঞ্জিনের কার্যকারিতা
T2 হল শীতল আধারের তাপমাত্রা
T1 হল উৎসের তাপমাত্রা
প্রশ্নের তথ্য অনুসারে,

η = 1 - T2/T1 = 1 - 420/840 = 1 - 0.5 = 0.5 = 50%

T1 = 400 K

T2 = T1 * (1 - η) = 400 * (1 - 0.5) = 200 K

অতএব, শীতল আধারের তাপমাত্রা 200 K।

C ইউনিট : 2015-2016 || রাজশাহী বিশ্ববিদ্যালয় || 2015

74 . একটি জলাশয়ের পানির জৈবিক অক্সিজেন চাহিদা (BOD) এর মান হলো 420 । গুণগতভাবে উক্ত জলাশয়ের পানি ____।

A. ভালো
B. খারাপ
C. অত্যন্ত ভালো
D. অত্যন্ত খারাপ
D. কোনোটিই নয়

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Answer: Option D

Explanation:

A ইউনিট : ২০১৫-২০১৬ || চট্টগ্রাম বিশ্ববিদ্যালয় || 2015

75 . 200v ও 1000W নিমজ্জক হিটার 15 মিনিটে কিছু পানির 25°C তাপমাত্রা হতে 100°C এ বৃদ্ধি করে। হিটারের কর্মদক্ষতা 90% হলে পানির পরিমান কত ? ( পানির আঃ তাপ = 4200 )

A. 2.57 kg
B. 2.99 kg
C. 3.03 kg
D.

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Answer: Option A

Explanation:

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

76 . যদি '653042' কে 'VOLUEME' দ্বারা প্রকাশ করা যায় তবে 4032' কে কি দ্বারা প্রকাশ করা যাবে?

A. MULE
B. MLUE
C. VOLE
D. UMLE

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Answer: Option A

Explanation:

C ইউনিট : 2011-2012 || জগন্নাথ বিশ্ববিদ্যালয় || 2011

77 . If 63042 stands for VOLUME, then 4032 stands for-

A. MUEL
B. MULE
C. CLEU
D. MEUL

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Answer: Option B

Explanation:

78 . বাতাসের সাপেক্ষে হীরকের প্রতিসরাঙ্ক 2.42 । হীরক -বাতাস সীমানার সংকট কোণ কত?

A. 42 . 2 °
B. 43 . 4 °
C. 48 . 6 °
D. 41 . 2 °

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Answer: Option A

Explanation:

ক ইউনিট (2001-2002) || ঢাকা বিশ্ববিদ্যালয় || 2001

79 . 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

80 . 20°C তাপমাত্রায় ও 740mm (Hg) চাপে 0.842 ভরের একটি গ্যাস 400ml আয়তন দখল করে। গ্যাসটির আণবিক ভর কত?

A. 55
B. 64
C. 52
D. 54

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Answer: Option C

Explanation:

Faculty of Science And Technology(FST) 2021-2022 || Bangladesh University of Professionals (BUP) || 2021

81 . 8597- ? = 7429 - 4358

A. 5426
B. 5706
C. 5526
D. 5476

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Answer: Option C

Explanation:

82 . 40% of the employees in a factory are workers. All the remaining employees are executives. The annual income of each worker is $390. The annual income of each executive is $420. What is the average annual income of all the employees in the factory together?

A. 405
B. 408
C. 415
D. 390

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Answer: Option B

Explanation:

Standard Bank Plc || Trainee Assistant Officer (15-03-2025) || 2025

83 . Group a has 20 members and Group B has 28. If a total of 42 people belong to the two groups, how many people belong to both groups?

A. 5
B. 8
C. 9
D. 6

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Answer: Option D

Explanation:

Standard Bank Plc || Trainee Assistant Officer (15-03-2025) || 2025

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