Quantitative Aptitude - Arithmetic Ability Questions

Q:

30% discount is offered on an item. By applying a promo code the customer wins 5% cash back. What is the effective discount?

A) 33.5 percent B) 35.175 percent
C) 35 percent D) 6.5 percent
 
Answer & Explanation Answer: A) 33.5 percent

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Filed Under: Percentage
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Q:

If a + b = 10 and ab = 24, then what is the value of a3 + b3?

A) 280 B) 152
C) 140 D) 72
 
Answer & Explanation Answer: A) 280

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Filed Under: Simplification
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Q:

At 30% discount the selling price of an article is Rs 1050. What is the selling price (in Rs) if the discount is 15%?

A) 1200 B) 1175
C) 1100 D) 1275
 
Answer & Explanation Answer: D) 1275

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Q:

Average age of A and B, 2 years ago was 26. If the age of A, 5 years hence is 40 years, and B is 5 years younger to C, then find the difference between the age of A and C?

A) 6 B) 9
C) 12 D) 15
 
Answer & Explanation Answer: B) 9

Explanation:

Let the present ages of A & B to be ‘a’ & ‘b’ respectively.
Hence, 2 years ago, their ages must have been (a-2) & (b-2) respectively.
Average of their ages at that time = 26
Hence,
[(a-2)+(b-2)]/2 = 26
(a-2)+(b-2) = 52
a+b = 56
Age of A, 5 year hence = 40 years
Hence, (a+5) = 40
a = 35 years
Hence, b = 56 - 35 = 21 years
B = (C-5)
Hence, C = 21+5 = 26 years
Age difference between A & C = 35 - 26 = 9 years.

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Filed Under: Problems on Ages
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Q:

Two cars travel from city A to city B at a speed of 30 and 36 km/hr respectively. If one car takes 3 hours lesser time than the other car for the journey, then the distance between City A and City B is

A) 648 km B) 810 km
C) 432 km D) 540 km
 
Answer & Explanation Answer: D) 540 km

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Filed Under: Time and Distance
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Q:

Two cycles start from a house with a speed of 24kmph at interval of 15 min. With how much more speed in kmph the woman coming from the opposite direction towards the house has to travel to meet the cycles at an interval of 10 minutes?

A) 13 B) 11
C) 12 D) 14
 
Answer & Explanation Answer: C) 12

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Filed Under: Time and Distance
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Q:

Sashi can do a piece of work in 20 days. Tanya is 25% more efficient than Sashi. The number of days taken by Tanya to do the same piece of work is:

A) 15 B) 16
C) 18 D) 25
 
Answer & Explanation Answer: B) 16

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Q:

(1 + sinA)/(1 - sinA) is equal to?

A) (cosecA - 1)/(cosecA + 1) B) (cosecA + 1)/(cosecA - 1)
C) (secA + 1)/(secA - 1) D) (secA - 1)/(secA + 1)
 
Answer & Explanation Answer: B) (cosecA + 1)/(cosecA - 1)

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