Quantitative Aptitude - Arithmetic Ability Questions

Q:

What is the value of (1/√2) Cot 45° + (1/√3) Cosec 60°?

A) (√6 + 1)/√3 B) √3
C) (1 + 3√2)/√3 D) (3 + 2√2)/3√2
 
Answer & Explanation Answer: D) (3 + 2√2)/3√2

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Q:

The sum of the ages of Ram and Shyam is 49. The difference between the age of Shyam and twice the age of Ram is 8. What is the age (in years) of Ram?

A) 30 B) 20
C) 19 D) 29
 
Answer & Explanation Answer: C) 19

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Q:

The average of 44 consecutive odd numbers is 144.What is the largest number?

A) 189 B) 191
C) 187 D) 193
 
Answer & Explanation Answer: C) 187

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Q:

What will be the net discount (in %) of two successive discounts of 15% and 35%?

A) 44.75 B) 51.25
C) 55.25 D) 56.25
 
Answer & Explanation Answer: A) 44.75

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Q:

If ABCDEF is a regular hexagon, then what is the value (in degrees) of ∠ADB?

A) 15 B) 30
C) 45 D) 60
 
Answer & Explanation Answer: B) 30

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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:

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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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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