Quantitative Aptitude - Arithmetic Ability Questions

Q:

The age of Ravi is twice the age of Prakash and three times the age of Kumar. If the age of Prakash is 24 years, then what will be the age of Kumar after 4 years ?

A) 16 years B) 20 years
C) 24 years D) 22 years
 
Answer & Explanation Answer: B) 20 years

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Filed Under: Problems on Ages
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Q:

A trader sold a cycle at a loss of 10%. If the selling price had been increased by Rs. 200, there would have been a gain of 6%. The cost price of the cycle is

A) Rs.1200 B) Rs.1205
C) Rs.1250 D) Rs.1275
 
Answer & Explanation Answer: C) Rs.1250

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Filed Under: Percentage
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Q:

After a discount of 23% an article is sold for Rs 1848. What is the marked price (in Rs) of the article?

A) 2150 B) 2275
C) 2350 D) 2400
 
Answer & Explanation Answer: D) 2400

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Q:

If p and q are the roots of the equation x2 –15x + r = 0 and p –q = 1, then what is the value of r ?

A) 55 B) 56
C) 60 D) 64
 
Answer & Explanation Answer: B) 56

Explanation:

In the below equation,

x2–15x + r = 0

sum of roots = p + q = -(-15)/1 = 15 (sum of roots for equation ax2+ bx + c is -b/a)

product of roots = pq = r/1 = r     (product of roots for equation ax2+ bx + c is c/a)

given p –q = 1

also we know that p+q = 15

subtracting the squares of both

(p+q)2 + (p-q)2 = 15^2–1

p2 + q2 + 2pq –p2 –q2 +2pq = 225 -1

4pq = 224

4r = 224

r = 56

 

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Filed Under: Simplification
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Q:

If each median of an equilateral triangle has a length of 12cm. Then what will be the value of in-radius (in cm) of the equilateral triangle?

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

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Q:

A profit of Rs. 960 is divided between A and B in the ratio 1/3:1/2. The difference of their profit is :

A) Rs.120 B) Rs.160
C) Rs.180 D) Rs.240
 
Answer & Explanation Answer: D) Rs.240

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Filed Under: Ratios and Proportions
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Q:

In the following question, select the odd number from the given alternatives.

A) 216 B) 125
C) 343 D) 510
 
Answer & Explanation Answer: D) 510

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Filed Under: Odd Man Out
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Q:

A wholesaler had 200 dozens of mangoes. He sold some of these mangoes at 20% profit and the rest at 10% profit, so that he made 13% profit on selling all the mangoes. How many mangoes (in dozens) did he sell at 20% profit?

A) 140 B) 60
C) 80 D) 120
 
Answer & Explanation Answer: B) 60

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Filed Under: Profit and Loss
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