Quantitative Aptitude - Arithmetic Ability Questions

Q:

The Simple Interest & True Discount on a certain sum of money for a given time & at a given rate are Rs 85 & Rs.80.The sum is:

A) Rs.1350 B) Rs.1360
C) Rs.1316 D) Rs.1200
 
Answer & Explanation Answer: B) Rs.1360

Explanation:

Sum = [(S.I x T.D)/(S.I-T.D)] = (85 x 80)/(85-80) = Rs.1360

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Filed Under: True Discount

1 5563
Q:

A Bus is running at 9/10 of its own speed reached a place in 22 hours. How much time could be saved if the bus would run at its own speed ?

A) 1.5 hrs B) 1.7 hrs
C) 2.2 hrs D) 3.5 hrs
 
Answer & Explanation Answer: C) 2.2 hrs

Explanation:

Let the original Speed be "s" kmph
And the usual time be "t" hrs
Given that if the bus is running at 9s/10 kmph the time is 22 hrs
=> [9s/10] x 22 = t x s
=> 99/5 = t
=> t = 19.8 hrs

 

Hence, if bus runs at its own speed, the time saved = 22 - 19.8 = 2.2 hrs.

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Filed Under: Time and Distance
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1 5562
Q:

What is 85 of 352?

A) 21.5% B) 24.14%
C) 23.68% D) 25.47%
 
Answer & Explanation Answer: B) 24.14%

Explanation:

Here 85 of 352 => 85 is what percent in 352

Let p% of 352 is 85

Percentage(%) is generally calculated in the total of 100.

=> p x 352/100  = 85

=> p = 8500/352  = 24.14%

 

Hence, 85 is 24.14% of 352.

 

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Filed Under: Percentage
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4 5561
Q:

If x = 7-43 then find the value of x+1x?

A) 3sqrt{3} B) 8sqrt{3}
C) 14 D) 14+8sqrt{3}
 
Answer & Explanation Answer: C) 14

Explanation:
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Filed Under: Square Roots and Cube Roots
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44 5558
Q:

72 ÷ 52 × 3272 ÷ 52 of 32 ÷ 5.25

A) 3/5 B) 3/6
C) 3/7 D) 3/8
 
Answer & Explanation Answer: C) 3/7

Explanation:

75x321415 ÷ 52510094 ÷ 5251009002100= 37

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Filed Under: Simplification
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1 5552
Q:

112 × 54 =

A) 68947 B) 69874
C) 70000 D) 76000
 
Answer & Explanation Answer: C) 70000

Explanation:

112 × 54112 × 1024= 112 × 1000024= 1120000/16

= 70,000.

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Filed Under: Simplification
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13 5550
Q:

An unbiased die is rolled. Find the probability of getting a multiple of 3?

A) 1/6 B) 1/3
C) 5/6 D) None of these
 
Answer & Explanation Answer: B) 1/3

Explanation:

S = { 1, 2, 3, 4, 5, 6 } 

=> n(S) = 6

E = { 3, 6}

=> n(E) = 2

Therefore, P(E) = 2/6 =1/3

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Filed Under: Probability

5 5544
Q:

28 Men and 52 women working together completes a work in 22.5 days. 35 men and 65 women working together on same work will complete it in how many days?

A) 16 B) 18
C) 19 D) 21
 
Answer & Explanation Answer: B) 18

Explanation:

Clearly total persons are increased in  28/35 :: 52/65 = 4:5.

As time is inversely proportional to men, so total time will decrease in the ratio 5:4.

Hence, 22.5 x 4/5 = 18 days.

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Filed Under: Time and Work
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10 5542