Common Admission Test (CAT) Questions and Answers with Explanation

Q:

What is the smallest number by which 2880 must be divided in order to make it into a perfect square ?

A) 2	B) 3
C) 4	D) 5

Answer & Explanation Answer: D) 5

Explanation:

By trial and error method, we get
2880/3 = 960 is not a perfect square
2880/4 = 720 is not a perfect square
2880/5 = 576 which is perfect square of 24
Hence, 5 is the least number by which 2880 must be divided in order to make it into a perfect square.

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Filed Under: Numbers
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14 17880

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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21 17871

Q:

'P' walked 1 km towards south direction and turned $90^{o}$ ACW and walked 2 km. Then he turned his left and walked 1 km and then he turned his right and walked 2 km. After that he turned $90^{o}$ ACW and walked 3 km. How far is he from the starting point ?

A) 5 km	B) 4 km
C) 2 km	D) 0 km

Answer & Explanation Answer: A) 5 km

Explanation:

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Filed Under: Direction Sense Test
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85 17865

Q:

The simple interest on Rs.10 for 4 months at the rate of 3 paise per month is

A) 0.3 Paise	B) 1.2 Paise
C) 30 Paise	D) 3 Paise

Answer & Explanation Answer: B) 1.2 Paise

Explanation:

Given Principal amount P = Rs. 10

Time T = 4 months

Rate of interest R = 3 ps

Interest I = PTR/100 = (10 x 4 x 3)/100 = 12/10 = 1.2 paise.

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Filed Under: Simple Interest
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7 17857

Q:

8 is related to 81 in the same way as 64 is related to ____

A) 225	B) 425
C) 525	D) 625

Answer & Explanation Answer: D) 625

Explanation:

The relationship is $x^{y} : {(x + 1)}^{(y + 1)}$

Now , $64 = 4^{3}$

So, required number = ${(4 + 1)}^{(3 + 1)}$ = $5^{4}$ = 625

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Filed Under: Analogy
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129 17850

Q:

Thrice the square of a natural number decreased by 4 times the number is equal to 50 more than the number. The number is ?

A) 5	B) 4
C) 7	D) 6

Answer & Explanation Answer: A) 5

Explanation:

Let the number be x. Then,

$3 x^{2}$ - 4x = x + 50

$3 x^{2}$ - 5x - 50 = 0

(3x + 10)(x - 5) = 0

x = 5

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Filed Under: Arithmetical Reasoning
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16 17802

Q:

Frugal : Parsimonious :: ?

A) joy : ecstasy	B) rich : poor
C) love : hate	D) poor : misery

Answer & Explanation Answer: A) joy : ecstasy

Explanation:

Frugal and parsimonious are synonyms of each other and bear the meaning 'being stingy' or 'sparing'. Similarly, joy and ecstasy are related to happiness.

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9 17776

Q:

In India, planned economy is based on

A) Mixed Economy System	B) Capitalist System
C) Gandhian System	D) Socialist System

Answer & Explanation Answer: D) Socialist System

Explanation:

In_India,_planned_economy_is_based_on1556278122.jpg image

In India, planned economy is based on Socialist System.

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Filed Under: Indian Economy
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30 17751

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