Exams Questions and Answers

Q:

A problem is given to three students whose chances of solving it are 1/2, 1/3 and 1/4 respectively. What is the probability that the problem will be solved?

A) 1/4	B) 1/2
C) 3/4	D) 7/12

Answer & Explanation Answer: C) 3/4

Explanation:

Let A, B, C be the respective events of solving the problem and $A, B, C$ be the respective events of not solving the problem. Then A, B, C are independent event

$∴ A, B, C$ are independent events

Now, P(A) = 1/2 , P(B) = 1/3 and P(C)=1/4

$P (A) = \frac{1}{2}, P (B) = \frac{2}{3}, P (C) = \frac{3}{4}$

$∴$ P( none solves the problem) = P(not A) and (not B) and (not C)

= $P (A \cap B \cap C)$

= $P (A) P (B) P (C)$ $[∵ A, B, C a r e I n d e p e n d e n t]$

= $\frac{1}{2} \times \frac{2}{3} \times \frac{3}{4}$

= $\frac{1}{4}$

Hence, P(the problem will be solved) = 1 - P(none solves the problem)

= $1 - \frac{1}{4}$ = 3/4

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Filed Under: Probability
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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1017 207688

Q:

Rearrange the parts of the sentence in correct order.

Sociologists believe

P : that the reason why honour killings

Q : of the continued rigidity of the caste system

R : continue to take place is because

A) PRQ	B) RQP
C) QRP	D) PQR

Answer & Explanation Answer: A) PRQ

Explanation:

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Filed Under: English
Exam Prep: Bank Exams , GRE , TOEFL

20 205052

Q:

Choose the correct verb form from those in brackets.

The earth _ round the sun.

A) moves	B) moved
C) move	D) None of the above

Answer & Explanation Answer: A) moves

Explanation:

The earth moves round the sun.

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Filed Under: English
Exam Prep: AIEEE , Bank Exams , CAT
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58 203160

Q:

What should come next in the following letter sequence?

A A B A B C A B C D A B C D E A B C D

A) A	B) E
C) C	D) B

Answer & Explanation Answer: B) E

Explanation:

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Filed Under: Alphabet Test
Exam Prep: Bank Exams
Job Role: Bank PO

661 195989

Q:

25% of 25% Is Equal To

A) 0.0625	B) 0.0210
C) 0.03145	D) 0.3210

Answer & Explanation Answer: A) 0.0625

Explanation:

25% of 25% means

25/100 of 25/100

i.e, 1/4 of 1/4

or in other words 1/4 x 1/4=1/16

Hence, the answer is 1/16 = 0.0625.

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Filed Under: Percentage
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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74 195438

Q:

Find the odd man out?

396, 462, 572, 427, 671, 264.

A) 671	B) 462
C) 427	D) 264

Answer & Explanation Answer: C) 427

Explanation:

Here the given series is 396, 462, 572, 427, 671, 264.

In all the terms, the middle digit is the sum of first and third digit except 427.

So the Odd number in the given series is 427.

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Filed Under: Odd Man Out
Exam Prep: AIEEE , Bank Exams , CAT
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119 188660

Q:

Simplify

$\frac{1 . 5^{3} + 4 . 7^{3} + 3 . 8^{3} - 3 x 1.5 x 4.7 x 3.8}{1 . 5^{2} + 4 . 7^{2} + 3 . 8^{2} - 1.5 x 4.7 - 4.7 x 3.8 - 1.5 x 3.8}$

A) 6	B) 8
C) 10	D) 12

Answer & Explanation Answer: C) 10

Explanation:

Apply $\frac{a^{3} + b^{3} + c^{3} - 3 a b c}{a^{2} + b^{2} + c^{2} - a b - b c - c a} = a + b + c$

Hence the answer is 1.5 + 4.7 + 3.8 = 10.

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT
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34 184932

Q:

Consider the following information and answer the questions based on it.

Out of 60 people in a colony, 10 speak only Bengali, 5 speak only Assamese, 10 speak both Hindi and Odia, 12 speak both Marathi and Hindi, 13 speak English, Tamil and Marathi, 5 speak both Assamese and Hindi and the remaining speak both Bengali and Hindi.

In all, how many people speak Hindi?

A) 22	B) 27
C) 32	D) 45

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