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

Report Error

View Answer Report Error Discuss

Filed Under: Probability
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

1029 209422

Q:

The maximum number of electrons that can be accommodated in a shell depends on the formula

A) 1n2	B) n2
C) 3n2	D) 2n2

Answer & Explanation Answer: D) 2n2

Explanation:

Report Error

View Answer Report Error Discuss

Filed Under: Chemistry
Exam Prep: Bank Exams

21 209279

Q:

Simplify the following :

$\frac{37^{3} + 35^{3} + 28^{3} - 3 x 37 x 35 x 28}{37^{2} + 35^{2} + 28^{2} - 37 x 35 - 35 x 28 - 37 x 28}$ ?

A) 100	B) 1
C) 4	D) 0

Answer & Explanation Answer: A) 100

Explanation:

Given $\frac{37^{3} + 35^{3} + 28^{3} - 3 x 37 x 35 x 28}{37^{2} + 35^{2} + 28^{2} - 37 x 35 - 35 x 28 - 37 x 28}$

It is in the form of

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

Here a = 37, b = 35 & c = 28

=> a + b + c = 37 + 35 + 28 = 100

Therefore, $\frac{(37)^{3}+(35)^{3}+(28)^{3}-3x37x35x28}{(37)^{2}+(35)^{2}+(28)^{2}-37x35-35x28-37x28}$ = 100

Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

26 207836

Q:

A person who speaks many languages

A) Polyglot	B) Linguist
C) Bilingual	D) Monolingual

Answer & Explanation Answer: A) Polyglot

Explanation:

Polyglot - A person who knows or speaks many languages.

Linguist - A person who speaks foreign languages.

Report Error

View Answer Report Error Discuss

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

0 203894

Q:

Select the antonym of

assiduous

A) lethargic	B) scrupulous
C) diligent	D) exacting

Answer & Explanation Answer: A) lethargic

Explanation:

Report Error

View Answer Report Error Discuss

Filed Under: English
Exam Prep: Bank Exams

0 201923

Q:

Select the synonym of

alleviate

A) irritate	B) aggravate
C) allay	D) agitate

Answer & Explanation Answer: C) allay

Explanation:

Report Error

View Answer Report Error Discuss

Filed Under: English
Exam Prep: Bank Exams

0 201828

Q:

Select the antonym of

apocalypse

A) catastrophe	B) miracle
C) decimation	D) holocaust

Answer & Explanation Answer: B) miracle

Explanation:

Report Error

View Answer Report Error Discuss

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

7 201751

Q:

Which word or words explains the meaning of the following idioms:-

A fool’s errand

A) A blunder	B) An impossible task
C) A useless undertaking	D) None of these

Answer & Explanation Answer: B) An impossible task

Explanation:

A fool’s errand means a task that has little to no chance of being successful or beneficial.

Report Error

View Answer Report Error Discuss

Filed Under: English
Exam Prep: Bank Exams

3 199602

Exams

Bank Exams

CAT

GATE

GRE

TOEFL

Quick Links