Common Admission Test (CAT) Questions and Answers with Explanation

Q:

After independence, the first state organized on the basis of language age is ?

A) Karnataka	B) Punjab
C) Gujarat	D) Andhra Pradesh

Answer & Explanation Answer: D) Andhra Pradesh

Explanation:

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Q:

What building has the most stories?

Answer

A Libraury. It has more number of story books in it to read.

Workspace

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Q:

When Ankith saw Sanvi, he recalled, " She is the daughter of the father of my daughter's mother." Who is Sanvi to Ankit ?

A) sister	B) daughter-in-law
C) sister-in-law	D) cousin

Answer & Explanation Answer: C) sister-in-law

Explanation:

Ankit's daughter's mother---Ankit's wife; Ankit's wife's father---Ankit's father-in-law;
Father-in-law's daughter--- Ankit's sister-in-law. So, Sanvi is sister-in-law of Ankit.

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Q:

A train 125 m long passes a man, running at 4 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:

A) 49 kmph	B) 50 kmph
C) 51 kmph	D) 52 kmph

Answer & Explanation Answer: A) 49 kmph

Explanation:

Speed of the train relative to man

= (125/10) m/sec = (25/2) m/sec.

[(25/2) x (18/5)] km/hr = 45 km/hr.

Let the speed of the train be 'x' km/hr.

Then, relative speed = (x - 4) km/hr.

x - 4 = 45 => x = 49 km/hr.

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Q:

Munna and Chinna are partners in a firm out of which Munna is sleeping partner and Chinna is working partner. Munna invests Rs. 1,40,000 and Chinna invests Rs. 80,000. Chinna receives 14.5% of profit for managing the business and the rest is shared between both in ratio of their investments. Munna's share in the profit of Rs. 19600 is ?

A) Rs. 9580.25	B) Rs. 10600
C) Rs. 10664.15	D) Rs. 11060.48

Answer & Explanation Answer: C) Rs. 10664.15

Explanation:

Profit received by Chinna as working partner = 14.5% of Rs. 19600

= 14.5x19600/100 = Rs. 2842

Balance in profit = 19600-2842 = Rs. 16758

Ratio of investment of Chinna & Munna = 80,000 : 1,40,000 = 4 : 7

Hence share of Chinna in investment = 4x16758/100 = Rs. 6093.85

Therefore, Share of Munna = 19600 - 2842 - 6093.85 = Rs. 10664.15

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Q:

A sum of Rs. 4,300 is distributed among M, N and O, such that M receives 25% more than N and N receives 25% less than O. What is O’s share in the amount?

A) 1564	B) 1600
C) 1632	D) 1714

Answer & Explanation Answer: B) 1600

Explanation:

Let O's share = Rs. P

=> N's share = $\frac{75}{100} x P = \frac{3 P}{4}$

M's share = $\frac{5}{4} x \frac{3 P}{4} = \frac{15 P}{16}$

$\frac{15 P}{16} + \frac{3 P}{4} + P = 4300 = > P = 4300 x \frac{16}{43} = 1600$

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Q:

The average age of the district level hockey team of eleven is 22 years.The average age gets increased by 1 year when the coach age is also included.what is the age of the coach ?

A) 33 yrs	B) 34 yrs
C) 35 yrs	D) 36 yrs

Answer & Explanation Answer: B) 34 yrs

Explanation:

Total age of players in team = 22 x 11 = 242
When coach is included, total members = 12, Avg age increases by one becomes 23
Total age when coach is included = 23x12 = 276
Age of coach = 276-242 = 34 yrs.

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Q:

A 260 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train ?

A) 240 mts	B) 270 mts
C) 260 mts	D) 250 mts

Answer & Explanation Answer: A) 240 mts

Explanation:

Relative speed = 120 + 80 = 200 km/hr.
= 200 x 5/18 = 500/9 m/sec.

Let the length of the other train be L mts.
Then, (L + 260)/9 = 500/9 => L = 240 mts.

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