Quantitative Aptitude - Arithmetic Ability Questions

Q:

A man and his wife appear in an interview for two vacancies in the same post. The probability of husband's selection is (1/7) and the probability of wife's selection is (1/5). What is the probability that only one of them is selected ?

A) 2/7 B) 1/7
C) 3/4 D) 4/5
 
Answer & Explanation Answer: A) 2/7

Explanation:

Probability_35.jpg

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Q:

Find the next number in the given number series?

3, 10.5, 36.75, 128.625, ?

A) 295.651 B) 354.146
C) 398.78 D) 450.187
 
Answer & Explanation Answer: D) 450.187

Explanation:

Here the given number series  3, 10.5, 36.75, 128.625, ? follows a pattern that

3

3 x 3.5 = 10.5

10.5 x 3.5 = 36.75

36.75 x 3.5 = 128.625

128.625 x 3.5 = 450.187

 

Hence the next number in the given number series is 450.187.

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2 76792
Q:

12 men can complete a work in 8 days. 16 women can complete the same work in 12 days. 8 men and 8 women started working  and worked for 6 days. How many more men are to be added to complete the remaining work in 1 day?

A) 8 B) 12
C) 16 D) 24
 
Answer & Explanation Answer: B) 12

Explanation:

1 man's 1 day work =1/96 ; 1 woman's 1 day work = 1/192

Work done in 6 days=6896+8192=6×18 =34 

Remaining work = 1/4

(8 men +8 women)'s 1 day work = 1896+8192 =1/8

Remaining work =1/4 -  1/8 = 1/8

 

 1/96 work is done in 1 day by 1 man

 

Therefore, 1/8 work will be done in 1 day by 96 x (1/8) =12 men

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Q:

2.5, 3.5, 9, 40, ?

Find the next number in the above-given series?

A) 316 B) 328
C) 323 D) 340
 
Answer & Explanation Answer: B) 328

Explanation:

2.5 × 1 + 1 = 3.5

3.5 × 2 + 2 = 9

9 × 4 + 4 = 40

40 × 8 + 8 = 328

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Q:

Simplify the following :

4 15 × 3 13 + ? = 20% of 120

A) 10 B) 24
C) 36 D) 40
 
Answer & Explanation Answer: A) 10

Explanation:

Given equation can be written as

215 x 103 + ? = 24=> 14 + ? = 24=> ? = 24 - 14=> ? = 10

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Filed Under: Simplification
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Q:

The average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person ?

A) 70 kg B) 75 kg
C) 80 kg D) 85 kg
 
Answer & Explanation Answer: D) 85 kg

Explanation:

Total weight increased = (8 x 2.5) kg = 20 kg.

Weight of new person = (65 + 20) kg = 85 kg.

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Q:

Find the odd man out of the following number series?

720, 732, 708, 742, 696

A) 696 B) 742
C) 708 D) 732
 
Answer & Explanation Answer: B) 742

Explanation:

The given number series is 720, 732, 708, 742, 696

 

720

720 + 12 = 732

732 - 24 = 708

708 + 36 = 744 (Not 742)

744 - 48 = 696

 

Hence, the odd man in the given number series is 742.

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Q:

A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes?

A) 100 m B) 150 m
C) 190 m D) 200 m
 
Answer & Explanation Answer: A) 100 m

Explanation:

Relative speed of the thief and policeman  =  (11 – 10) km/hr = 1 km/hr 

Distance covered in 6 minutes  = (1/60) x 6 km   = 1/10 km = 100 m

Therefore, Distance between the thief and policeman = (200 – 100) m = 100 m.

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Filed Under: Time and Distance

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