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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

Two trains starting at the same time from two stations 200 km apart and going in opposite directions cross each other at a distance of 110 km from one of the stations. What is the ratio of their speeds?

A) 9 : 20 B) 11 : 9
C) 11 : 20 D) None of these
 
Answer & Explanation Answer: B) 11 : 9

Explanation:

In the same time, they cover 110 km and 90 km respectively.

Therefore, Ratio of their speeds = 110 : 90 = 11 : 9

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Filed Under: Time and Distance

18 17415
Q:

If (89)2 is added to the square of a number, the answer so obtained is 16202. What is the (1/26) of that number?

A) 5.65 B) 2.7
C) 3.5 D) 6.66
 
Answer & Explanation Answer: C) 3.5

Explanation:

Let the number is = x

(89)2 + x2 = 16202

x2 = 8281

x = 91

=> (1/26) of 91 = 3.5

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Filed Under: Square Roots and Cube Roots
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18 17395
Q:

How many necklace of 12 beads each can be made from 18 beads of different colours?

A) 18! B) 18! x 19!
C) 18!(6 x 24) D) 18! x 30
 
Answer & Explanation Answer: C) 18!(6 x 24)

Explanation:

Here clock-wise and anti-clockwise arrangements are same.

 

Hence total number of circular–permutations: 18P122*12 = 18!6*24

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Filed Under: Permutations and Combinations

35 17375
Q:

A large tanker can be filled by two pipes A and B in 60 and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half ?

A) 31 min B) 29 min
C) 28 min D) 30 min
 
Answer & Explanation Answer: D) 30 min

Explanation:

Part filled by (A + B) in 1 minute = (1/60 + 1/40) = 1/24
Suppose the tank is filled in x minutes.
Then, x/2(1/24 + 1/40) = 1
(x/2) * (1/15) = 1 => x = 30 min.

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Filed Under: Pipes and Cistern
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23 17355
Q:

Three friends had dinner at a restaurant. When the bill was received, Akshitha paid 2/3 as much as Veena paid and Veena paid 1/2 as much as Lasya paid. What fraction of the bill did Veena pay ?

A) 11/3 B) 2/13
C) 3/11 D) 13/4
 
Answer & Explanation Answer: C) 3/11

Explanation:

Let Veena paid x,
so Akshitha paid 2x/3 , and Lasya paid 2x,
So total bill paid is given by
x+(2x/3) +2x = 1, we get
i.e. x = 3/11

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Filed Under: Partnership
Exam Prep: AIEEE , Bank Exams , CAT
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14 17350
Q:

Find the number which when multiplied by 15 is increased by 196.

A) 10 B) 12
C) 14 D) 16
 
Answer & Explanation Answer: C) 14

Explanation:

Let the number be x. Then, 15x - x = 196 <=> 14x = 196 => x = 14..

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Filed Under: Problems on Numbers

19 17329
Q:

Given that on 9th August 2016 is Saturday. What was the day on 9th August 1616 ?

A) Saturday B) Sunday
C) Friday D) Monday
 
Answer & Explanation Answer: A) Saturday

Explanation:

We know that, After every 400 years, the same day occurs.

Thus, if 9th August 2016 is Saturday, before 400 years i.e., on 9th August 1616 has to be Saturday.

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Filed Under: Calendar
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70 17314
Q:

Fresh grapes contain 60% water, while dry grapes contain 40% water. How many kgs of dry grapes can be obtained by 60 kg of fresh grapes?

A) 25 kgs B) 30 kgs
C) 35 kgs D) 40 kgs
 
Answer & Explanation Answer: D) 40 kgs

Explanation:

The fruit content in both the fresh fruit and dry fruit is the same.

Let 'p' kgs of dry grapes are obtained from the 60 kgs of fresh grapes

 

=> 60 x 40100 = p x 60100=> p = 40 kgs.

 

Therefore, 40 kgs of Dry grapes are obtained from 60 kgs of Fresh grapes.

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Filed Under: Percentage
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
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21 17306