Common Admission Test (CAT) Questions and Answers with Explanation

Q:

A man lost half of its initial amount in the gambling after playing 3 rounds. The rule of gambling is that if he wins he will receive Rs. 100, but he has to give 50% of the total amount after each round.Luckily he won all the three rounds. The initial amount with which he had started the gambling was :

A) 500/3	B) 700/3
C) 300	D) 600

Answer & Explanation Answer: B) 700/3

Explanation:

Let the initial amount be x (with gambler), then

$[[(x + 100) \frac{1}{2} + 100] \frac{1}{2} + 100] \frac{1}{2} = \frac{x}{2}$

=> x = 700/3

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Filed Under: Percentage
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Q:

Out of 120 students in aschool, 5% can play all the three games Cricket, Chess and Carroms. If so happens that the number of players who can play any and only two games is 30. The number of students who can play the Cricket alone is 40. What is the total number of those who can play Chess alone or Carroms alone ?

A) 45	B) 44
C) 46	D) 24

Answer & Explanation Answer: B) 44

Explanation:

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Given U=120

5% of 120 = 6

Therefore, Students who can play Chess alone or Carroms alone = 120 - (30+40+6)= 44

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Filed Under: Logical Venn Diagram
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Q:

Fresh grapes contain 60% water, while dry grapes contain 40% water. How many kgs of dry grapes can be obtained by 60 kg of fresh grapes?

A) 25 kgs	B) 30 kgs
C) 35 kgs	D) 40 kgs

Answer & Explanation Answer: D) 40 kgs

Explanation:

The fruit content in both the fresh fruit and dry fruit is the same.

Let 'p' kgs of dry grapes are obtained from the 60 kgs of fresh grapes

=> $60 x \frac{40}{100} = p x \frac{60}{100} = > p = 40 kgs .$

Therefore, 40 kgs of Dry grapes are obtained from 60 kgs of Fresh grapes.

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Filed Under: Percentage
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Q:

Smallest gulf in the world is

A) Gulf of Mexico	B) Persian Gulf
C) Gulf of Oman	D) Gulf of California

Answer & Explanation Answer: D) Gulf of California

Explanation:

A gulf in geography is a large bay that is an arm of an ocean or sea.

The second smallest sea on Earth is the Sea of Cortez, more commonly called the Gulf of California. This sea is about 62,000 square miles. It lies between Mexico and the Baja California Peninsula.

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Filed Under: World Geography
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Q:

What should be replaced in the place of '?' in the following series ?

QAR, RAS, SAT, TAU, ?

A) UAT	B) UAV
C) UAS	D) UTS

Answer & Explanation Answer: B) UAV

Explanation:

In this series, the third letter is repeated as the first letter of the next segment. The middle letter, A, remains static. The third letters are in alphabetical order, beginning with R.

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Filed Under: Number Series
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Q:

Amit can do a piece of work in 45 days, but Bharath can do the same work in 5 days less, than Amit, when working alone. Amit and Bharath both started the work together but Bharath left after some days and Amit finished the remaining work in 56 days with half of his efficiency but he did the work with Bharath with his complete efficiency. For how many days they had worked together?

A) 6	B) 8
C) 9	D) 12

Answer & Explanation Answer: B) 8

Explanation:

$\begin{matrix} A m i t & B h a r a t \\ N o . o f D a y s & 45 & 40 \\ E f f i c i e n c y & 2.22 P e r c e n t (= \frac{1}{45}) & 2.5 P e r c e n t (= \frac{1}{40}) \end{matrix}$

Amit did the work in 56 days = $56 \times \frac{1}{45 \times 2} = \frac{28}{45}$

Therefore, Rest work 17/45 was done by Amit and Bharath = $\frac{\frac{17}{45}}{\frac{17}{360}}$ = 8 days

( since Amit and Bharath do the work in one day = $\frac{1}{45} + \frac{1}{40} = \frac{17}{360}$ )

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Filed Under: Time and Work
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Q:

There are three rooms in a Hotel: one single, one double and one for four persons. How many ways are there to house seven persons in these rooms ?

A) 105	B) 7! x 6!
C) 7!/5!	D) 420

Answer & Explanation Answer: A) 105

Explanation:

Choose 1 person for the single room & from the remaining choose 2 for the double room & from the remaining choose 4 people for the four person room,

Then, ⁷C₁x ⁶C₂x ⁴C₄

_{= 7 x 15 x 1 = 105}

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Filed Under: Permutations and Combinations
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Q:

Which of the following virus overtake computer system, when it boots and destroy information ?

A) System infectors	B) Trojan
C) Stealth virus	D) Boot infectors

Answer & Explanation Answer: C) Stealth virus

Explanation:

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Filed Under: Computer
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