Quantitative Aptitude - Arithmetic Ability Questions

Q:

A trader had 22 quintals of wheat. He sold a part of it at 23% profit and the rest at 33% profit, so that he made a total profit of 27%. How much wheat did he sell at 33% profit?

A) 1320 kg B) 440 kg
C) 880 kg D) 1760 kg
 
Answer & Explanation Answer: C) 880 kg

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Q:

The selling price of 6 bananas is equal to the cost price of 8 bananas. Then the percentage of profit is

A) 20 B) 33 1/3
C) 25 D) 30
 
Answer & Explanation Answer: B) 33 1/3

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Q:

If 27% of an electricity bill is deducted, Rs 1825 is still to be paid. How much was the bill?

A) Rs 1437 B) Rs 2536
C) Rs 2500 D) Rs 1473
 
Answer & Explanation Answer: C) Rs 2500

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Q:

(91 + 92 + 93 + ......... +110) is equal to

A) 4020 B) 2010
C) 6030 D) 8040
 
Answer & Explanation Answer: B) 2010

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Q:

0.0245¯ written as a vulgar fraction in its simplest form = ?

A) 9/370 B) 27/1111
C) 27/1100 D) 9/37
 
Answer & Explanation Answer: C) 27/1100

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Filed Under: Decimal Fractions
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Q:

If (1/cos θ) – (1/cot θ) = 1/P, then what is the value of cos θ?

A) (P + 1)/(P – 1) B)  (P2+ 1)/2P
C) 2(P2+ 1)/P D)  2P/(P2+ 1)
 
Answer & Explanation Answer: D)  2P/(P2+ 1)

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Q:

If ab+c=bc+a=Cb+athen which one of the following statements is correct?

A) Each fraction is equal to 1 or -1 B) Each fraction is equal to 1/2 or 1
C) Each fraction is equal to 1/2 or -1 D) Each fraction is equal to 1.2 only
 
Answer & Explanation Answer: C) Each fraction is equal to 1/2 or -1

Explanation:

a/(b+c) = b/(c+a) = c/(a+b)

Taking reciprocal and adding 1 to each ratio we get;

(b+c)/a + 1 = b/(c+a) + 1 = c/(a+b) + 1

Or (a+b+c)/a = (a+b+c)/b = (a+b+c)/c

So this can only be equal when a=b=c or a+b+c = 0

When a=b=c we get

a/(b+c)= ½When a+b+c = 0 we get

b+c = -a

So a/(b+c) = -1

So the ratios are ½ or -1

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Q:

If a merchant offers a discount of 40% on the list price, then he makes a loss of 10%. What % profit or % loss will he make if he sells at a discount of 20% of the list price?

A) 4 percent loss B) 14 percent profit
C) 5.5 percent loss D) 20 percent profit
 
Answer & Explanation Answer: D) 20 percent profit

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