Common Admission Test (CAT) Questions and Answers with Explanation

Q:

If a, b, c be the $p^{t h}, q^{t h} a n d r^{t h}$ terms of a GP then the value of (q-r) log a + (r-p) log b + (p-q) log c is :

A) 0	B) 1
C) -1	D) pqr

Answer & Explanation Answer: A) 0

Explanation:

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Filed Under: Logarithms
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Q:

At what rate percent on simple interest will Rs.415 amount to Rs.514 in 4 years ?

A) 4.58 %	B) 5.96 %
C) 6.52 %	D) 4.98 %

Answer & Explanation Answer: B) 5.96 %

Explanation:

Difference in amount = 514 - 415 = 99

99 = (415 x 4 x R)/100

R = 5.96%

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Filed Under: Simple Interest
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Q:

There are 3 bags, in 1st there are 9 Mangoes, in 2nd 8 apples & in 3rd 6 bananas. There are how many ways you can buy one fruit if all the mangoes are identical, all the apples are identical, & also all the Bananas are identical ?

A) 23	B) 432
C) 22	D) 431

Answer & Explanation Answer: A) 23

Explanation:

As in this problem , buying any fruit is different case , as buying apple is independent from buying banana. so ADDITION rule will be used.

${}^{9}C_{1} + {}^{8}C_{1} + {}^{6}C_{1}$ = 23 will be answer.

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Filed Under: Permutations and Combinations
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Q:

Pradeep correctly remembers that his mother's is before twenty third February but after ninteenth February, whereas his brother correctly remembers that their mother's birthday is not on or after twentysecond February. On which day in February is definitely their mother's birthday ?

A) 20 or 21	B) 20
C) 21	D) None

Answer & Explanation Answer: A) 20 or 21

Explanation:

According to Pradeep : 20,21 or 22...(1)
According to his brother : not 22....(2)
From (1)&(2), the birthday falls on February 20 or 21.

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Filed Under: Data Sufficiency
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Q:

Find out which pair of words can be filled up in the blanks in the sentence to make the sentence meaningfully complete.

The policy on foreign direct investment in multi- brand retail may be _______ in a political impasse, but big retail chains are using India as sourcing base and making an _________ on local businesses.

A) Caught, impact	B) Caught, effect
C) Fetched, affect	D) Fetching, impact

Answer & Explanation Answer: A) Caught, impact

Explanation:

Caught - according to the sentence given caught means to become involved in something, often without wanting to.

Impasse - means a situation in which further development is impossible.

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Filed Under: Logical Sequence of Words
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Q:

A cowboy arrives in town on Friday. He stays for 3 days and then leaves on Friday. How is that possible?

Answer

You will get the answer in the riddle itself, if you read the riddle carefully.

The riddle says "A cowboy arrives in town on Friday." So Friday is the name of the horse on which he comes. Hence, the only possibility is he arrives on the horse friday on Tuesday, stays for 3 days and leaves on the same horse on Friday.

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Q:

What has a foot but no legs?

Answer

A measuring device.

Measuring devices have feet on them to measure distance.

Workspace

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Q:

'X' sells fruits at 21% profit. If X bought it for 9% less and sold it for Rs.29 less, he would have gained 25%. The cost price of fruits is?

A) Rs. 400	B) Rs. 420
C) Rs. 460	D) Rs. 480

Answer & Explanation Answer: A) Rs. 400

Explanation:

Let the cost price of the fruits be 'C.P'

From the given data, after analysis it can be solved as

(121% of C.P) - (125% of 91% of C.P) = 29

$\frac{121}{100} C . P - \frac{125}{100} x \frac{91}{100} x C . P = 29 (\frac{121}{100} - \frac{125 x 91}{100 x 100}) C . P = 29 (12100 - 125 x 91) C . P = 290000 (12100 - 11375) C . P = 290000 725 C . P = 290000 C . P = 400$

Hence, the cost price of the fruits = Rs. 400.

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Filed Under: Profit and Loss
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