Common Admission Test (CAT) Questions and Answers with Explanation

Q:

Which one of the following is not a true snake ?

A) Blind snake	B) Glass snake
C) Sea snake	D) Tree snake

Answer & Explanation Answer: B) Glass snake

Explanation:

Glass snake is a lizard.

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Filed Under: Animals and Birds
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Q:

If the average height of boys in a hall is 180 cm and that of girls is 150 cm. If the average height of the gathering is 165 cm, then find the number of girls present in the hall if the number of boys present in the hall are 78 ?

A) 56	B) 64
C) 87	D) 78

Answer & Explanation Answer: D) 78

Explanation:

Using Trial and error method,

we get the number of girls in the hall = 78

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27 6099

Q:

Sneha’s weight is 140% of Veena’s weight. Rina’s weight is 90% of Sana’s weight. Sana weighs twice as much as Veena. If Sneha’s weight is x% of Rina’s weight, then x is equal to:

A) 596/9	B) 605/9
C) 645/9	D) 700/9

Answer & Explanation Answer: D) 700/9

Explanation:

Let Veena's weight = 1 kg

Sana's weight = 2 kg

Sneha's weight = 1.4 kg

Rina's weight = 1.8 kg

Now,according to the given data in the question,

$\frac{1.8 x}{100} = 1.4$

x = $\frac{1.4 \times 100}{1.8} = \frac{700}{9} = 77 \frac{7}{9}$ .

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Filed Under: Percentage
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8 6096

Q:

A sequence of natural number 2,3,5,6,10. Such that no square and no cube occurs in the term. Find the 300th term of sequence ?

A) 322	B) 319
C) 321	D) 320

Answer & Explanation Answer: D) 320

Explanation:

1 to 300 = 300 numbers
squares btwn 1 to 300 = 1,4,9,16,25,36,49.....289 i.e, total 17
cubes = 1,8,27,64,125,216 i.e, 5
now 1 and 64 are common so total numbers that should be removed ( 17+5-2= 20 )
total 20 term removed so 300th term would be 320

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Filed Under: Numbers
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Q:

What goes up when rain comes down?

A) Air	B) Heat
C) Umbrella	D) None

Answer & Explanation Answer: C) Umbrella

Explanation:

Yes, when rain starts falling umbrella goes up for pretecting us from wetting.

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7 6092

Q:

When 0.46 is written in simplest form, the sum of the numerator and the denominator is ?

A) 69	B) 73
C) 96	D) 41

Answer & Explanation Answer: B) 73

Explanation:

0.46 = 46/100 = 23/50.

Sum of the numerator and denominator is 23 + 50 = 73

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Filed Under: Decimal Fractions
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Q:

What is the remainder when $15^{23} + 23^{23}$ is divided by 19 ?

A) 4	B) 3
C) 1	D) 0

Answer & Explanation Answer: D) 0

Explanation:

$15^{23} + 23^{23} = {(19 - 4)}^{23} + {(19 + 4)}^{23}$

The remainder on dividing by 19 will be ${(- 4)}^{23} + {(4)}^{23}$ = 0.

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Filed Under: Numbers
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Q:

In how many ways the letters of the word NUMERICAL can be arranged so that the consonants always occupy the even places ?

A) 5!	B) 6!
C) 4!	D) Can't determine

Answer & Explanation Answer: D) Can't determine

Explanation:

NUMERICAL has 9 positions in which 2, 4, 6, 8 are even positions.

And it contains 5 consonents i.e, N, M, R, C & L. Hence this cannot be done as 5 letters cannot be placed in 4 positions.

Therefore, Can't be determined.

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Filed Under: Permutations and Combinations
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6 6083

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