Common Admission Test (CAT) Questions and Answers with Explanation

Q:

If (89)² is added to the square of a number, the answer so obtained is 16202. What is the (1/26) of that number?

A) 5.65	B) 2.7
C) 3.5	D) 6.66

Answer & Explanation Answer: C) 3.5

Explanation:

Let the number is = x

(89)² + x² = 16202

x² = 8281

x = 91

=> (1/26) of 91 = 3.5

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Filed Under: Square Roots and Cube Roots
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17 14240

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:

k11483174138.jpg image

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:

Which figure completes the series?

Question Figures :: Answer Figures ::

101558010123.png image

A B C D E 1 2 3 4 5

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

Answer & Explanation Answer: A) 1

Explanation:

The pattern followed in the given figures is

One, two, three, one, two, three.....arcs get inverted sequentially. This inversion takes place in an Anti Clock Wise direction.

Hence, figure 1) will come in the next to complete the series.

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Filed Under: Pattern Completion
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16 14220

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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21 14218

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:

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:

Which sentence is capitalized correctly?

A) on a cloudless night, I studied pisces, a constellation in the north sky.	B) On a cloudless night, I studied Pisces, a constellation in the North sky.
C) on a Cloudless Night, i studied Pisces, a constellation in the North Sky.	D) On a cloudless night, I studied pisces, a constellation in the north sky.

Answer & Explanation Answer: B) On a cloudless night, I studied Pisces, a constellation in the North sky.

Explanation:

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Filed Under: Verification of Truth of the statement
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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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