31 . A Zoo keeper counted the heads of the animals in a zoo and found it to be 80. When he counted the legs of the animals he found it to be 260. If the zoo had either pigeons or horses, how many horses were there in the zoo ?

A. 40
B. 50
C. 60
D. 30
E. None of these

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Answer: Option B

Explanation:

Let the number of horse is x

then pigeons are (80 - x)

A/Q,

4x + 2(80 - x) = 260

4x + 160 - 2x = 260

2x = 260 - 160

2x = 100

x = 50

The number of horses is 50.

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Bangladesh Bank - Assistant Director - 2009

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32 . All possible three digit numbers are formed by 1,3,5. If one number is chosen randomly, the probability that it would be divisible by 5 is-

A. $0$
B. $\frac{2}{9}$
C. $\frac{1}{3}$
D. $\frac{1}{4}$

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Answer: Option C

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অফিসার (সাধারণ) ২৭.১২. ২০১৯

B. 2/9
C. 1/3
D. 1/4

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Answer: Option A

Explanation:

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Sonali Bank Ltd. Senior Officer Recruitment 01.06.2018

A. 14/50
B. 7/50
C. 2/5
D. 2/25

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Answer: Option D

Explanation:

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35 . Find the probability of selecting a prime number from a set numbers 1 to 15 (both inclusive).

A. 1/15
B. 3/5
C. 2/5
D. 7/15

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Answer: Option C

Explanation:

1 থেকে 15 এর মধ্যে মৌলিক সংখ্যাগুলো হচ্ছে 2, 3, 5, 7, 11, 13

মৌলিক সংখ্য হবার সম্ভাব্যতা = 6/15 = 2/5

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36 . Four subjects ---physics, Chemistry, Mathematics and Biology ---were taught in four consecutive periods of one hour each starting from 8.00 a.m. At what time was the chemistry period scheduled? 1. Mathematics period ended at 10.00 a.m, which was preceded by Biology. 2. Physics was scheduled in the last period. 3. Mathematics period was immediately followed by Chemistry.

A. Only 1
B. Only 2
C. Only 2 and 3
D. Only 1 and either 2 or 3

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Answer: Option D

Explanation:

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37 . If a family was randomly picked from the families in the previous question, what is the probability (approximately) of that family having children as members?

A. 56%
B. 70%
C. 80%
D. 86%
E. 100%

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Answer: Option B

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38 . If four fair coins are flipped, what is the probability that they all will come up heads?

A. 3/16
B. 1/4
C. 1/8
D. 1/16

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Answer: Option D

Explanation:

When you flip a fair coin, there are 2 possible outcomes: heads (H) or tails (T). Each outcome is equally likely, so the probability of getting heads on a single coin flip is 1/2.

To find the probability of getting all heads when flipping four fair coins, you need to calculate the probability of getting heads on each coin flip and then multiply these probabilities together because each coin flip is independent of the others.

P(All Heads) = P(Head on Coin 1) * P(Head on Coin 2) * P(Head on Coin 3) * P(Head on Coin 4)

Since each coin flip has a 1/2 probability of landing heads:

P(All Heads) = (1/2) * (1/2) * (1/2) * (1/2) = (1/16)

So, the probability of getting all heads when flipping four fair coins is 1/16. Therefore, the answer is 1/16

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সমন্বিত ৭ ব্যাংক || সিনিয়র অফিসার-05-11-2021 ||

A. 1/4
B. 1/3
C. 1/2
D. 3/4
E. None of these

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Answer: Option A

Explanation:

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40 . If z sits at the head of the table, Y directly opposite U, and V immediately on X's left, what is the highest number of possible sitting arrangements of the executives?

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

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Answer: Option B

Explanation:

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41 . In a 100m race, Jami beats Rony by 4 sec. If Jami allowed Rony to start 16m ahead of him, then Jami and Rony reach the finishing point at the same time. How long does Jami take to run the 100m race?

A. 24 sec.
B. 21 sec.
C. 20 sec.
D. 20.5 sec.
E. None of these

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Answer: Option B

Explanation:

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42 . In a box , there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green ?

A. 1/3
B. 3/4
C. 7/19
D. 8/21

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Answer: Option A

Explanation:

7/(8+7+6)=7/21=⅓ .

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Bangladesh Bank - Assistant Director - 2010

43 . In a box there are 10 apples and 2/5th of the apples are rotten . If three apples are taken out from the box, what will be the probability that at least one apple is rotten .

A. $\frac{3}{4}$
B. $\frac{9}{10}$
C. $\frac{5}{6}$
D. $\frac{8}{13}$

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Answer: Option C

Explanation:

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44 . In a box there are 10 apples and 2/5th of the apples are rotten. If three apples are taken out from the box, what will be the probability that at least one apples is rotten.

A. 3/4
B. 9/10
C. 5/6
D. 8/13

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Answer: Option C

Explanation:

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Two Combined Bank Recruitment Test - Officer 28.09.2018 ||

A. 3
B. 7
C. 12
D. 23

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Answer: Option C

Explanation:

Q. In a class of 60, where girls are twice that of boys , Kamal ranked seventeenth from the top . If there are 9 girls ahead of Kamal , how many boys are after him in rank ?

Let, No. of boys = x
As per question,
x + 2x = 60
∴ x = 20

∴ No. of boys = 20 and No. of girls = 40

As Kamal ranked 17th from the top, so there are 16 students ahead of him (including 9 girls).
that means, there are 7 boys and 9 girls ahead of Kamal.

Now, till 17th there are (7 boys + Kamal) = 8 boys
So, remaining boys that ranked after Kamal = (20-8) = 12 boys (Ans:)

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Bangladesh Bank - Assistant Director - 2016

31 . A Zoo keeper counted the heads of the animals in a zoo and found it to be 80. When he counted the legs of the animals he found it to be 260. If the zoo had either pigeons or horses, how many horses were there in the zoo ?

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33 . all possible three number formed by 1,2,3,.if one number is chosen randomly; the possibility that it would be divisible by 111 is

35 . Find the probability of selecting a prime number from a set numbers 1 to 15 (both inclusive).

37 . If a family was randomly picked from the families in the previous question, what is the probability (approximately) of that family having children as members?

38 . If four fair coins are flipped, what is the probability that they all will come up heads?

39 . If two fair coins are flipped, what is the probability that one will come up heads and the other tails?

40 . If z sits at the head of the table, Y directly opposite U, and V immediately on X's left, what is the highest number of possible sitting arrangements of the executives?

41 . In a 100m race, Jami beats Rony by 4 sec. If Jami allowed Rony to start 16m ahead of him, then Jami and Rony reach the finishing point at the same time. How long does Jami take to run the 100m race?

42 . In a box , there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green ?

44 . In a box there are 10 apples and 2/5th of the apples are rotten. If three apples are taken out from the box, what will be the probability that at least one apples is rotten.

45 . In a class of 60, where girls are twice that of boys , Kamal ranked seventeenth from the top . If there are 9 girls ahead of Kamal , how many boys are after him in rank?

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