Quantitative Aptitude - Arithmetic Ability Questions

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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345 78162
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

362 77482
Q:

(4x - 7)2 = ?

 

A) 4x2 - 56x + 49 B) 4x2 - 14x + 49
C) 16x2 + 14x + 49 D) 16x2 - 56x + 49
 
Answer & Explanation Answer: D) 16x2 - 56x + 49

Explanation:
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Filed Under: Simplification
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2 77328
Q:

If 3=1.732, then what is the value of (3 - 103 + 27) ?

 

A) 1.154   B)  1.577  
C)  1.464   D) 2.358
 
Answer & Explanation Answer: A) 1.154  

Explanation:
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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

254 77275
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

267 77001
Q:

What is the simplified form of 64288 ?

 

A) 23 B) 1/2
C) 23 D) 33
 
Answer & Explanation Answer: A) 23

Explanation:
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Filed Under: Volume and Surface Area
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Q:

What will come in place of the question mark (?) in the following number series  ?

12, 24, 26.5, 79.5, ?, 330

A) 211 B) 101.5
C) 82.5 D) 99
 
Answer & Explanation Answer: C) 82.5

Explanation:

The given series 

 

12   24   26.5   79.5   ?   330 follows a pattern that,

 

12 x 2 = 24

 

24 + 2.5 = 26.5

 

26.5 x 3 = 79.5

 

79.5 + 3 = 82.5

 

82.5 x 4 = 330

 

Hence, the missing number is 82.5

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Filed Under: Odd Man Out
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