Quantitative Aptitude - Arithmetic Ability Questions

Q:

A ship is full of cargo containers. It drops 2/3 of cargo containers at the first port and takes 60 more, at the second port it drops two third of the new total and takes eleven more. On arriving at the third port it is found that it have 48 cargo containers. Find the number of cargo containers in the ship at the starting?

A) 189 B) 159
C) 161 D) 153
 
Answer & Explanation Answer: D) 153

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Filed Under: Simplification
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Q:

What is the value of tan3A?

A) (3tanA -­ tan3A)/(1 -­ 3tan2A) B) (3tanA + tan3A)/(1 + 3tan2A)
C) (3tanA -­ tan3A)/(1 + 3tan2A) D) (3tanA + tan3A)/(1-­ 3tan2A)
 
Answer & Explanation Answer: A) (3tanA -­ tan3A)/(1 -­ 3tan2A)

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Q:

In a college, the ratio of boys to girls is 29 : 33 respectively. When 142 more boys join the college, this ratio becomes 21 :19. How many more girls should join the college to make the number of boys and girls equal?

A) 75 B) 90
C) 60 D) 66
 
Answer & Explanation Answer: D) 66

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Q:

A mobile plan costs Rs. 32 for 6 minutes. What is the approximate cost, in rupees, for 4 minutes?

A) 21.30 B) 21.40
C) 21.20 D) 21.50
 
Answer & Explanation Answer: A) 21.30

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Q:

A sum of Rs. 3000 amounts to Rs. 6000 in two years at compound interest. The interest for four years is

A) Rs.9000 B) Rs.12000
C) Rs.6000 D) Rs.3000
 
Answer & Explanation Answer: A) Rs.9000

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Q:

Two water squash mixtures, the first with a water-to-squash ratio of 5:1 and the letter with a ratio of 3:1 are blended in the ratio 3:2. What is the final water : squash ratio in the blend?

 

A) 4:1 B) 10:9
C) 5:3 D) 6:1
 
Answer & Explanation Answer: A) 4:1

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Filed Under: Alligation or Mixture
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Q:

Among three numbers, the first is twice the second and thrice the third. If the average of three numbers is 198, then what is the difference between the first and the third number?

A) 216 B) 297
C) 661 D) 431
 
Answer & Explanation Answer: A) 216

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Filed Under: Average
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Q:

What is the simplified value of [(sec3x  tan3x)/(sec x  tan x)]  2 tan2x  sec x tan x?

A) 0 B) 2
C) -1 D) 1
 
Answer & Explanation Answer: D) 1

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