Common Admission Test (CAT) Questions and Answers with Explanation

Q:

Find out how will the key figure (X) look like after rotation.

471484720206.png image

4711484720230.png image

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

Answer & Explanation Answer: A) 2

Explanation:

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Q:

In 16 minutes, the minute hand gains over the hour hand by -

A) 16 deg	B) 80 deg
C) 88 deg	D) 94 deg

Answer & Explanation Answer: C) 88 deg

Explanation:

In one hour, the minute hand gains 330° over the hour hand. i.e., 60 minute, the minute hand gains 330° over the hour hand.

∴ In 16 minutes, the minute hand gain over the hour hand by $fraction numerator 330 degree over denominator 60 end fraction cross times 16 degree equals 88 degree$

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Filed Under: Clocks
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Q:

Select the related word/letters/number from the given alternatives.

ET : VG : : NO : ?

A) IM	B) MI
C) ML	D) LM

Answer & Explanation Answer: C) ML

Explanation:

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Filed Under: Analogy
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Q:

Arrange the given words in the sequence in which they occur in the dictionary.

i. Permanence
ii. Permanent
iii. Permafrost
iv. Permeability

A) ii, iii, iv, i	B) iii, ii, i, iv
C) iv, ii, i, iii	D) iii, i, ii, iv

Answer & Explanation Answer: D) iii, i, ii, iv

Explanation:

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Q:

A cistern is normally filled in 8 hours but takes two hours longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in ?

A) 20 hrs	B) 28 hrs
C) 36 hrs	D) 40 hrs

Answer & Explanation Answer: A) 20 hrs

Explanation:

1/8 - 1/x = 1/10

=> x = 40 hrs

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Filed Under: Pipes and Cistern
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Q:

An observer 1.6 m tall is $20 \sqrt{3}$ away from a tower. The angle of elevation from his eye to the top of the tower is 30º. The heights of the tower is:

A) 21.6 m	B) 23.2 m
C) 24.72 m	D) None of these

Answer & Explanation Answer: A) 21.6 m

Explanation:

Draw BE // CD

Then, CE = AB = 1.6 m,

BE = AC =

$\frac{D E}{\tan 30} = > D E = \tan 30 x 20 \sqrt{3} = > D E = \frac{1}{\sqrt{3}} x 20 \sqrt{3} = 20$

Therefore, CD = CE + DE = (1.6 + 20) m = 21.6 m.

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Filed Under: Height and Distance
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Q:

The difference of two numbers is 14. Their LCM and HCF are 441 and 7. Find the two numbers ?

A) 63 and 49	B) 64 and 48
C) 62 and 46	D) 64 and 49

Answer & Explanation Answer: A) 63 and 49

Explanation:

Since their HCFs are 7, numbers are divisible by 7 and are of the form 7x and 7y

Difference = 14
=> 7x - 7y = 14
=> x - y = 2

product of numbers = product of their hcf and lcm
=> 7x * 7y = 441 * 7
=> x * y = 63

Now, we have
x * y = 63 , x - y = 2
=> x = 9 , y = 7

The numbers are 7x and 7y
=> 63 and 49

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Filed Under: HCF and LCM
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Q:

What should come in place of the question mark(?) in the following questions ?

$3 \frac{1}{6} + 4 \frac{1}{2} - 2 \frac{2}{3} - 1 \frac{11}{12} = ?$

A) 1 7/12	B) 1 5/12
C) 3 7/12	D) 3 1/12

Answer & Explanation Answer: D) 3 1/12

Explanation:

? = (3 + 4 - 2 - 1) + ( 1/6 + 1/2 - 2/3 - 11/12)

= 4 + [(2+6-8-11)/12]

= 4 - (11/12 )= 31/12.

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Filed Under: Mathematical Operations
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