Common Admission Test (CAT) Questions and Answers with Explanation

Q:

what is the missing number in the sequence given below?

12 9 13.50 30.37 ? 341.71

A) 87.63	B) 91.12
C) 93.41	D) 97.94

Answer & Explanation Answer: B) 91.12

Explanation:

Given number series is 12 9 13.5 30.3 ? 341.7

Here the pattern followed by the series is

12

12 x 0.75 = 9

9 x 1.5 = 13.5

13.5 x 2.25 = 30.3

30.37 x 3 = 91.12

91.12 x 3.75 = 341.71

Hence, the missing number in the sequence is 91.12.

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Q:

A man's speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is :

A) 9.5 km/hr	B) 10 km/hr
C) 10.5 km/hr	D) 11 km/hr

Answer & Explanation Answer: B) 10 km/hr

Explanation:

Man's rate in still water = (15 - 2.5) km/hr = 12.5 km/hr.

Therefore, Man's rate against the current = (12.5 - 2.5) = 10 km/hr.

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102 65993

Q:

Epsom(England) is the place associated with

A) Snooker	B) Shooting
C) Polo	D) Horse racing

Answer & Explanation Answer: D) Horse racing

Explanation:

Epsom is a market town in Surrey, England, 22.0 km south-west of London.

Epsom Downs Racecourse holds The Derby, now a generic name for sports competitions in English-speaking countries. The town also gives its name to Epsom salts, extracted from mineral waters there.

epsom_england_is_the_place_associated_with1538367699.jpg image

Within the centuries-old boundaries is Epsom Downs Racecourse which features two of the five English Classic horse races; The Derby and The Oaks, which were first run in 1780 and 1779 respectively.

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440 65687

Q:

Simplify

$\frac{1 . 5^{3} + 4 . 7^{3} + 3 . 8^{3} - 3 x 1.5 x 4.7 x 3.8}{1 . 5^{2} + 4 . 7^{2} + 3 . 8^{2} - 1.5 x 4.7 - 4.7 x 3.8 - 1.5 x 3.8}$

A) 6	B) 8
C) 10	D) 12

Answer & Explanation Answer: C) 10

Explanation:

Apply $\frac{a^{3} + b^{3} + c^{3} - 3 a b c}{a^{2} + b^{2} + c^{2} - a b - b c - c a} = a + b + c$

Hence the answer is 1.5 + 4.7 + 3.8 = 10.

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Q:

The compounded ratio of (2 : 3), (6: 11) and (11 :2) is

A) 1:2	B) 2:1
C) 11:24	D) 36:121

Answer & Explanation Answer: B) 2:1

Explanation:

Compounded Ratio :: When we compound two or more ratio's with each other through product or multiplication, the result is simply a compound ratio.

Thus, the product of two or more ratios; i.e, ab:cd is a ratio compounded of the simple ratios a:c and b:d.

Required compounded ratio = (2/3 x 6/11 x 11/2) = 2/1.

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Q:

The blue colour of the clear sky is due to

A) Diffraction of light	B) Dispersion of light
C) Reflection of light	D) Refraction of light

Answer & Explanation Answer: B) Dispersion of light

Explanation:

A clear cloudless day-time sky is blue because molecules in the air dissipate blue light from the sun more than they dissipate red light. When we look towards the sun at sunset, we see red and orange hues on the grounds because the blue light has been scattered out and away from the line of sight.

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Q:

________ is the process of dividing the disk into tracks and sectors

A) Tracking	B) Formatting
C) Crashing	D) Allotting

Answer & Explanation Answer: B) Formatting

Explanation:

The process of dividing the disk into tracks and sectors is called as formatting.

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Q:

Fastest Shorthand Writer was

A) Dr. G. D. Bist	B) J.R.D. Tata
C) J.M. Tagore	D) Khudada Khan

Answer & Explanation Answer: A) Dr. G. D. Bist

Explanation:

Dr. G. D. Bist, Guinness Record Holder, the first-ever Ph.D. in Stenography in the world.

fastest_shorthand_writer_-_Dr._G_._D_._Bist_1562583195.jpg image

He had achieved a highest speed of 250 w.p.m. in Shorthand.

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