Quantitative Aptitude - Arithmetic Ability Questions

Q:

If θ is positive acute angle and 4sin2θ = 3, then the value of tan θ - cot θ/2 is

A) 1 B) 0
C) √3 D) 1/√3
 
Answer & Explanation Answer: B) 0

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Q:

If ab = 21 and a+b2a-b2 = 254,then the value of a2+b2+3ab

A) 115 B) 121
C) 125 D) 127
 
Answer & Explanation Answer: B) 121

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Q:

The average of 29 consecutive even integers is 60. The highest of these integers is

A) 88 B) 118
C) 176 D) 120
 
Answer & Explanation Answer: A) 88

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Q:

The ratio of the present ages of Aman and Ankit is 2 : 1 and the sum of their present ages is 72 years. What will be the Aman's age (in years) after 6 years?

A) 30 B) 48
C) 52 D) 54
 
Answer & Explanation Answer: D) 54

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Filed Under: Problems on Ages
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Q:

A grocer had 1600 kgs of wheat. He sold a part of it at 20% profit and the rest at 12% profit, so that he made a total profit of 17%. How much wheat (in kg) did he sell at 20% profit?

A) 600 B) 1000
C) 800 D) 1200
 
Answer & Explanation Answer: B) 1000

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Filed Under: Profit and Loss
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Q:

Monthly salaries of Pia and Som are in the respective ratio of 5: 4. Pia, from her monthly salary, gives th to her mother. 15% towards her sister’s tuition fees, 18% towards a loan and she shops with the remaining amount which was Rs. 2,100. What is the monthly salary of Som ?

A) Rs.25,000 B) Rs.30,000
C) Rs.15,000 D) Rs.20,000
 
Answer & Explanation Answer:

Explanation:

Let monthly salary of Pia = Rs.500x => Monthly salary of Som = Rs.400x Amount given by Pia to her mother = 3/5 * 500x = 300x Amount for her sister tuition fees = 15*500x/100 = 75x Amount for loan = 18*500x/100 = 90x => Amount left = 500x −(300x +75x +90x) = 2100 => 500x - 465x = 35x = 2100 => x = 2100/35 = 60 Therefore, Som's salary = 400 x 60 = Rs. 24,000

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Filed Under: Ratios and Proportions

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Q:

The value of 2 Tan53°Cot37°-Cot80°Tan10° ?

A) 3 B) 2
C) 1 D) 0
 
Answer & Explanation Answer: C) 1

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Q:

If 1 shirt is offered free on purchase of 3 shirts priced Rs 500 each, then what is the effective discount on each shirt?

A) 30 percent B) 33 percent
C) 20 percent D) 25 percent
 
Answer & Explanation Answer: D) 25 percent

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Filed Under: Percentage
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