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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Filed Under: Probability

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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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Filed Under: Time and Work

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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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Filed Under: Ratios and Proportions
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Q:

Find the missing number in the given number series?

514, 470, ?, 415, 404

A) 441 B) 437
C) 426 D) 420
 
Answer & Explanation Answer: B) 437

Explanation:

Given number series is 514   470   ?   415   404

 

 

 

Here the pattern it follows is

 

514

 

514 - 44 = 470

 

470 - 33 = 437

 

437 - 22 = 415

 

415 - 11 = 404

 

Hence, the missing number in the given number series is 437.

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Filed Under: Odd Man Out
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Q:

8, 14, 24, 60, 180

Find the odd man out of the series?

A) 180 B) 60
C) 24 D) 14
 
Answer & Explanation Answer: D) 14

Explanation:

The given series is 8, 14, 24, 60, 180

8

8 x 1.5 = 12 (NOT 14)

12 x 2 = 24

24 x 2.5 = 60

60 x 3 = 180

 

Hence, the odd man in the given series is 12.

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Filed Under: Odd Man Out
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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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Filed Under: Average

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Q:

194, 194, 191, 183, 168, ?

Find the next number in the above series? 

A) 154 B) 156
C) 144 D) 143
 
Answer & Explanation Answer: C) 144

Explanation:

Here the series follows,

194

194 - (1x1 - 1) = 194

194 - (2x2 - 1) = 191

191 - (3x3 - 1) = 183

183 - (4x4 - 1) = 168

168 - (5x5 - 1) = 144

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Filed Under: Odd Man Out
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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Q:

Find the unit place digit in the expression (159)144 + (114)123 - (110)510 + (213)25

 

A) 3 B) 4
C) 7 D) 8
 
Answer & Explanation Answer: D) 8

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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