Common Admission Test (CAT) Questions and Answers with Explanation

Q:

A constructor estimates that 4 people can paint Mr. Karthik's house in 6 days. If he uses 5 people instead of 4, how long will they take to complete the job ?

A) 3 days	B) 26/3 days
C) 13/4 days	D) 24/5 days

Answer & Explanation Answer: D) 24/5 days

Explanation:

we know that m1 x d1 = m2 x d2
=> 4 x 6 = 5 x d
where d = no. of days taken by 5 men to paint
d = 24/5 days.

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Filed Under: Time and Work
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Q:

On dividing a number by 96, we get 271 as quotient and 0 as remainder. On dividing the same number by 95, what will be the remainder ?

A) 87	B) 59
C) 92	D) 81

Answer & Explanation Answer: D) 81

Explanation:

Number = 271 x 96 + 0 = 26016

=> 95) 26016 (273
25935
--------
81

Required number = 81.

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Filed Under: Problems on Numbers
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Q:

The Human Resource Development Ministry and the External Affairs Ministry launched an online verification portal ___________ to make the document verification process easier.

A) e-bharat	B) e-sanad
C) e-foriegn	D) e-verify

Answer & Explanation Answer: B) e-sanad

Explanation:

The Human Resource Development Ministry and the External Affairs Ministry launched an online verification portal to make the document verification process easier for students who planning to study abroad. The Central Board of Secondary Education’s (CBSE) academic repository of degrees and certificates “Parinam Manjusha” was also involved in the project of creating “eSanad”.

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Filed Under: General Awareness
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Q:

Which of the following gases is present under pressure in soft drinks?

A) Nitrous oxide	B) Oxygen
C) Nitrogen	D) Carbon dioxide

Answer & Explanation Answer: D) Carbon dioxide

Explanation:

Carbon dioxide is present under pressure in soft drinks.

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Filed Under: Chemistry
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2 4904

Q:

Let K and L be events on the same sample space, with P (K) = 0.8 and P (B) = 0.6. Are these two events are disjoint ?

A) TRUE

B) FALSE

Answer & Explanation Answer: B) FALSE

Explanation:

These two events cannot be disjoint because P(K) + P(L) > 1.

P(AꓴB) = P(A) + P(B) - P(AꓵB).

An event is disjoint if P(A ꓵ B) = 0. If K and L are disjoint P(K ꓴ L) = 0.8 + 0.6 = 1.4

And Since probability cannot be greater than 1, these two mentioned events cannot be disjoint.

Workspace

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Subject: Probability
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3 4902

Q:

An express traveled at an average speed of 100 km/hr, stopping for 4 min after every 75 km. How long did it take to reach its destination 600 km from the starting point ?

A) 6 hrs 24 min	B) 6 hrs
C) 7 hrs 21 min	D) 6 hrs 28 min

Answer & Explanation Answer: D) 6 hrs 28 min

Explanation:

Time taken to cover 600 km = 600/100 = 6 hrs.

Number of stoppages = 600/75 - 1 = 7

Total time of stoppages = 4 x 7 = 28 min

Hence, total time taken = 6 hrs 28 min.

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Filed Under: Time and Distance
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Q:

$T h e v a l u e o f l o g_{2} (l o g_{5} (625)) i s :$

A) 2	B) 5
C) 10	D) 15

Answer & Explanation Answer: A) 2

Explanation:

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Filed Under: Logarithms
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Q:

A container contains 120 lit of Diesel. From this container, 12 lit of Diesel was taken out and replaced by kerosene. This process was further repeated for two times. How much diesel is now there in the container ?

A) 88.01 lit	B) 87.48 lit
C) 87.51 lit	D) 87.62 lit

Answer & Explanation Answer: B) 87.48 lit

Explanation:

For these type of problems,

Quantity of Diesel remained = $(q {(1 - \frac{p}{q})}^{n})$

Here p = 12 , q = 120

=> $(120 {(1 - \frac{12}{120})}^{3})$ = 120 x 0.9 x 0.9 x 0.9 = 87.48 lit.

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Filed Under: Alligation or Mixture
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