Common Admission Test (CAT) Questions and Answers with Explanation

Q:

What is the least number of squares tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad ?

A) 844	B) 814
C) 840	D) 820

Answer & Explanation Answer: B) 814

Explanation:

Length of largest tile = H.C.F. of 1517 cm and 902 cm = 41 cm.
Area of each tile = (41 x 41) sq.cm

Required number of tiles =1517 x 902/(41 x 41) = 814.

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Filed Under: Area
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Q:

111 13 112 24 113 35 117 ?

A) 46	B) 57
C) 68	D) 79

Answer & Explanation Answer: D) 79

Explanation:

The given puzzle follows a pattern that,

Number - <last digit> <sum of all digits>.

111 - 13

112 - 24

113 - 35

So

117 - 79

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Filed Under: Number Puzzles
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60 15266

Q:

The ratio of boys and girls in a school is 9:5.If the total number of students in the school is 1050.Then number of boys is

Answer

Let the ratio be 'R'

Total number of students = 1050

Then,

9R + 5R = 1050

14R = 1050

=> R = 75

Hence, the number of boys = 9R = 9 x 75 = 675

Workspace

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Subject: Ratios and Proportions Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

69 15257

Q:

217 x 217 + 183 x 183 = ?

A) 84521	B) 87487
C) 80578	D) 78458

Answer & Explanation Answer: C) 80578

Explanation:

${(217)}^{2} + {(183)}^{2}$

= ${(200 + 17)}^{2} + {(200 - 17)}^{2}$

It is in the form of ${(a + b)}^{2} + {(a - b)}^{2} = 2 (a^{2} + b^{2})$

= 2(40000 + 289) = 80578.

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Filed Under: Simplification
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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21 15256

Q:

Two trains of equal length , running in opposite directions , pass a pole in 18 and 12 seconds. The trains will cross each other in

A) 14.4 sec	B) 15.5 sec
C) 18.8 sec	D) 20.2 sec

Answer & Explanation Answer: A) 14.4 sec

Explanation:

Let the length of the train be L metres

Speed of first train = $\frac{3600}{18} x L$ m/hour

Speed of secxond train = $\frac{3600}{12} x L$ m/hour

When running in opposite directions, relative speed = 200 L + 300 L m/hour

Distance to be covered = L + L = 2L metre

Time taken = $\frac{2 L}{500 L} x 3600$ sec

=14.4 sec

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Filed Under: Problems on Trains
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25 15247

Q:

6 B in an O?

Answer

The given letter equation 6 B in an O refers to 6 Balls in an Over.

Workspace

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Subject: Logic Puzzles Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE , TOEFL
Job Role: Analyst , Bank Clerk , Bank PO , Database Administration , IT Trainer

33 15234

Q:

In MS-Word, for what does ruler help?

A) to set indents	B) to change page margins
C) to set tabs	D) All the above

Answer & Explanation Answer: D) All the above

Explanation:

In_MS-Word,_for_what_does_ruler_help1554294391.jpg image

In MS-Word, the Ruler function helps align the text, graphic, tables or other elements in your document.

In_MS-Word,_for_what_does_ruler_help1558590348.png image

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Filed Under: Computer
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32 15215

Q:

Two pipes A and B can separately fill a cistern in 10 and 15 minutes respectively. A person opens both the pipes together when the cistern should have been was full he finds the waste pipe open. He then closes the waste pipe and in another 3 minutes the cistern was full. In what time can the waste pipe empty the cistern when fill ?

A) 8.21 min	B) 8 min
C) 8.57 min	D) 8.49 min

Answer & Explanation Answer: C) 8.57 min

Explanation:

1/10 + 1/15 = 1/6 x 3 = 1/2

1 - 1/2 = 1/2

1/10 + 1/15 - 1/x = 1/2

x = 8.57 min

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Filed Under: Pipes and Cistern
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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