Common Admission Test (CAT) Questions and Answers with Explanation

Q:

A merchant buys two items for Rs. 7500. One item he sells at a profit of 16% and the other item at 14% loss. In the deal, the merchant makes neither any profit nor any loss. What is the difference between the selling price of both the items?

A) Rs. 620	B) Rs. 654
C) Rs. 725	D) Rs. 747

Answer & Explanation Answer: A) Rs. 620

Explanation:

Let the C.P of one item is Rs. P
and that of other is Rs. (7500 - P)

According to the data given
C.P = S.P
=> Px(116/100) + (7500-P)x(86/100) = 7500
=> 30P = 105000
=> P = 3500

Required difference between selling prices
= Rs. [(3500/100) x 116] - [(4000/100) x 86]
= 4060-3440
= Rs. 620

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Filed Under: Profit and Loss
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15 14982

Q:

Sum of the ages of Rajesh, Suresh, Mahesh and Dinesh is 76 years. 7 years hence, their age ratio is 7:6:5:8. Find Mahesh’s present age ?

A) 17 years	B) 13 years
C) 14 years	D) 16 years

Answer & Explanation Answer: B) 13 years

Explanation:

Given R + S + M + D = 76

=> R+7 : S+7 : M+7 : D+7 = 7:6:5:8

=> Let the ratio = x

=> M+7 = 5x

=> M = 5x-7

=> R = 7x-7

=> S = 6x-7

=> D = 8x-7

=> R + S + M + D = 76

=> 7x-7 + 6x-7 + 5x-7 + 8x-7 = 76

=> 26x - 28 = 76

=> 26x = 104

=> x = 4

=> Mahesh's present age = 5x-7 = 20 - 7 = 13 years.

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Filed Under: Problems on Ages
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23 14980

Q:

Arrange the given words in the sequence in which they occur in the dictionary.

1. Scarecrow

2. Scenery

3. Satisfied

4. Shallow

5. Spelling

A) 42315	B) 31245
C) 12435	D) 23451

Answer & Explanation Answer: B) 31245

Explanation:

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Filed Under: Logical Sequence of Words
Exam Prep: Bank Exams , CAT , GRE , TOEFL

0 14906

Q:

Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share in the profit ?

A) 12,421	B) 9,423
C) 11,600	D) 10,500

Answer & Explanation Answer: D) 10,500

Explanation:

The ratio of their investments:
50000x36 : 80000x30 = 3 : 4
Simran's share of profit = (24500x3/7) = Rs.10,500.

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Filed Under: Partnership
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5 14869

Q:

Prime Minister NarendraModi released a book authored by LokSabha Speaker SumitraMahajan in New Delhi, recently. The book is titled as __________.

A) Matopadesh	B) Bhagyashree
C) Preranadayini	D) Matoshree

Answer & Explanation Answer: D) Matoshree

Explanation:

Prime Minister NarendraModi released a book authored by LokSabha Speaker SumitraMahajan in New Delhi, recently. The book is titled as 'Matoshree'.

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Filed Under: Books and Authors
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16 14866

Q:

5x - 6 = 3x - 8

Solve the above equation.

A) 2	B) -1
C) -2	D) 1

Answer & Explanation Answer: B) -1

Explanation:

Given 5x - 6 = 3x - 8

5x - 3x = -8 + 6

2x = -2

=> x = -1.

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Filed Under: Mathematical Operations
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23 14860

Q:

Twelve children take sixteen days to complete a work which can be completed by 8 adults in 12 days. After working for 3 days, sixteen adults left and six adults and four children joined them. How many days will they take to complete the remaining work ?

A) 3 days	B) 2 days
C) 6 days	D) 12 days

Answer & Explanation Answer: C) 6 days

Explanation:

From the given data,

12 children 16 days work,
One child’s one day work = 1/192.

8 adults 12 days work,
One adult’s one day’s work = 1/96.

Work done in 3 days = ((1/96) x 16 x 3) = 1/2

Remaining work = 1 – 1/2 = 1/2

(6 adults+ 4 children)’s 1 day’s work = 6/96 + 4/192 = 1/12

1/12 work is done by them in 1 day.

1/2 work is done by them in 12 x (1/2) = 6 days.

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Filed Under: Time and Work
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11 14847

Q:

Refer the below data table and answer the following question.

How many cars were manufactured in the month of April and May?

A) 650	B) 1100
C) 4270	D) 870

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