Common Admission Test (CAT) Questions and Answers with Explanation

Q:

A shopkeeper sells two articles at Rs.1000 each, making a profit of 20% on the first article and a loss of 20% on the second article. Find the net profit or loss that he makes?

A) 2%	B) 4%
C) 3%	D) 2.5%

Answer & Explanation Answer: B) 4%

Explanation:

SP of first article = 1000

Profit = 20%

CP = $\frac{100}{100 + P} \times S P$ = 5000/6 = 2500/3

SP of second article = 1000

Loss = 20%

CP = $\frac{100}{100 - L} \times S P$ = 5000/4 = 1250

Total SP = 2000

Total CP = $\frac{2500}{3}$ + 1250 = 6250/3

CP is more than SP, he makes a loss.

Loss = CP-SP = (6250/3)- 2000 = 250/3

Loss Percent = $\frac{\frac{250}{3}}{\frac{6250}{3}} \times 100$ = 4%

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Q:

In a triangle ABC, angle 'a' is the smallest one & A+7B = 112. Find the range of value 'c' ?

A) 138 to 164	B) 125 to 147
C) 148 to 158	D) 152 to 164

Answer & Explanation Answer: D) 152 to 164

Explanation:

A+7B=112

it is clear that A = 14, then it becomes A>=B, but A is smallest angle) given
so, range of A is 0.0001 to 13.9999 ( I am taking upto 4 decimal places)
so, range of B becomes 14 to 16 ( after rounding off to 4 decimal places)
so, range of C becomes 152 to 164 ( after rounding off to 4 decimal places)

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Filed Under: Numbers
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Q:

Find the one which does not belong to that group ?

A) Architect	B) Blacksmith
C) Sculpture	D) Tailor

Answer & Explanation Answer: A) Architect

Explanation:

All except Architect are manufactures.

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Filed Under: Analogy
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Q:

India’s first and longest sea ropeway will be built between which places, as announced on 24 April 2017 ?

A) Mumbai & Elephanta Island	B) Vizag & Andaman
C) Goa & Andaman	D) None

Answer & Explanation Answer: A) Mumbai & Elephanta Island

Explanation:

India’s first and longest ropeway to connect Mumbai with the famous Elephanta Island in the Arabian Sea is planned to be constructed by the Mumbai Port Trust, according to the official report.

The 8-km ropeway will begin from Sewri in Mumbai’s east coast and end at Raigad district’s Elephanta Island, globally renowned for Elephanta Caves, a UNESCO World Heritage site.

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Filed Under: Longest, Shortest, Deepest
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23 6244

Q:

Antonym of the Word : efface

A) burn	B) face
C) erase	D) create

Answer & Explanation Answer: C) erase

Explanation:

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Q:

The edge of three cubes of metal is 3 m, 4 m and 5 m. They are melted and formed into a single cube. Find the edge of the new cube ?

A) 15 m	B) 4 m
C) 6 m	D) 9 m

Answer & Explanation Answer: C) 6 m

Explanation:

The edge of the new cube is = $3^{3} + 4^{3} + 5^{3} = a^{3}$ => a = 6 m.

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Filed Under: Area
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Q:

Bijapur is known for its what?

A) Statue of Gomateshwara	B) Heavy rainfall
C) Gol Gumbaz	D) Severe Drought area

Answer & Explanation Answer: C) Gol Gumbaz

Explanation:

Bijapur is known for its Gol Gumbaz. Bijapur city is well known for its historical monuments of architectural importance built during the rule of the Adil Shahi dynasty.

What is Gol Gumbaz ::

1. It is the tomb of Mohammed Adil Shah. This is the most famous monument in Bijapur.

2. It is the largest dome ever built in India.

3. A particular attraction in this monument is the central chamber, where every sound is echoed seven times.

4. Another attraction at the Gol Gumbaz is the Whispering Gallery, where even minute sounds can be heard clearly 37 metres away.

Statue of Gomateshwara - Shravanabelagola in Karnataka.

Heavy Rainfall - Cherrapunji in Meghalaya.

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Filed Under: Indian Geography
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Q:

A boat takes 2 hours to travel from point A to B in still water. To find out its speed upstream, which of the following information is/are required?

A. Distance between point A and B.

B. Time taken to travel downstream from B to A.

C. Speed of the stream of water.

A) Only A and B	B) Only B and C
C) All are required	D) Any one pair of A and B, B and C or C and A is sufficient

Answer & Explanation Answer: D) Any one pair of A and B, B and C or C and A is sufficient

Explanation:

Let distance between A & B = d km
Let speed in still water = x kmph
Let speed of current = y kmph

from the given data,
d/x = 2

From A) we get d
From B) we get d/x+y
From C) we get y

So, Any one pair of A and B, B and C or C and A is sufficient to give the answer i.e, the speed of upstream.

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Filed Under: Boats and Streams
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