Common Admission Test (CAT) Questions and Answers with Explanation

Q:

The marked price of a Watch is Rs.8400. It is to be sold at Rs.6896 at two successive discounts. If the first discount is 12%, the second discount is ?

A) 7.2 %	B) 9.14 %
C) 7.13 %	D) 6.709 %

Answer & Explanation Answer: D) 6.709 %

Explanation:

(100-x)% of 88% of 8400 = 6896

=> $\frac{100 - x}{100} (\frac{88}{100} x 8400) = 6896$

=> x = 6.709%

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Filed Under: Percentage
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4 7526

Q:

In a class, seven students are standing in a row. Q is standing left to R but right to P. O is standing right to N and left to P. Similarly, S is standing right to R and left to T. Find out who is standing in the middle ?

A) Q	B) R
C) P	D) S

Answer & Explanation Answer: A) Q

Explanation:

As from the given conditions;
Order is
N O P Q R S T
Here the student standing in the middle is 'Q'.

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Filed Under: Number, Ranking and Time Sequence Test
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9 7525

Q:

A bag contains 2 red Roses, 4 yellow Roses and 6 pink Roses. Two roses are drawn at random. What is the probability that they are not of same color?

A) 1/6	B) 2/3
C) 14/33	D) 5/6

Answer & Explanation Answer: B) 2/3

Explanation:

Possible outcomes = (RY, YP, PR)

2C1 4C1 + 4C1 6C1 + 6C1 2C1

Required probability = (2C1 4C1 + 4C1 6C1 + 6C1 2C1)/(12C2)

= 8 + 24 + 12/66

= 44/66

= 2/3.

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Filed Under: Probability
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54 7518

Q:

Mahesh bought 100 kg of rice for Rs. 1040 and sold it at a loss of as much money as he received for 30 kg rice. At what price did he sell the rice?

A) Rs. 7.46/kg	B) Rs. 8/kg
C) Rs. 8.74/kg	D) Rs. 8.56/kg

Answer & Explanation Answer: B) Rs. 8/kg

Explanation:

Let the selling price of the rice = Rs.P/kg

Now, according to the question,

1040 - 100p = 30p

=> p = 8/kg

Hence, the selling price of the rice = Rs. 8/kg

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Filed Under: Profit and Loss
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Q:

Father of Modern Western Education in India?

A) Lord Aucland	B) William Bentick
C) Lord Dalhousie	D) Lord Hardinge

Answer & Explanation Answer: B) William Bentick

Explanation:

The western education system was introduced in India by Lord William Bentinck. He is also responsible for a large no of social reforms like the abolition of Sati, infanticide and child marriage.

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Filed Under: General Awareness
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Q:

What is the total no of ways of selecting atleast one item from each of the two sets containing 6 different items each?

A) 2856	B) 3969
C) 480	D) None of these

Answer & Explanation Answer: B) 3969

Explanation:

We can select atleast one item from 6 different items = $2^{6} - 1$

Similarly we can select atleast one item from other set of 6 different items in $2^{6} - 1$ ways.

Required number of ways = $(2^{6} - 1) (2^{6} - 1) = {(2^{6} - 1)}^{2}$ = 3969

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Filed Under: Permutations and Combinations
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1 7497

Q:

If a+b+c = 21, what is the total number of non - negative integral solutions?

A) 123	B) 253
C) 321	D) 231

Answer & Explanation Answer: B) 253

Explanation:

Number of non - negative integral solutions = $n + r - 1 C_{r - 1} = {}^{23}C_{2}$ = 253

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Q:

Perch : Fresh Water :: ? : Salt water

A) Cod	B) Crocodile
C) Snake	D) Frog

Answer & Explanation Answer: A) Cod

Explanation:

A Perch is a fresh water fish. Similarly, a cod is a salt water fish.

Hence, Perch : Fresh Water :: Cod : Salt water.

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Filed Under: Analogy
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