Quantitative Aptitude - Arithmetic Ability Questions

Q:

What is the value of √2 Sec 45 - Tan 30?

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

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Q:

Two points P and Q are at the distance of x and y (where y > x) respectively from the base of a building and on a straight line. If the angles of elevation of the top of the building from points P and Q are complementary, then what is the height of the building?

A) xy B) √( y/ x)
C) √( x/ y) D) √( xy)
 
Answer & Explanation Answer: D) √( xy)

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Q:

In ΔXYZ measure of angle Y is 90 deg. If cot X = 5/12, and XY = 2.5 cm, then what is the length (in cm) of side XZ?

A) 6 B) 4
C) 5.6 D) 6.5
 
Answer & Explanation Answer: D) 6.5

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Q:

Out of the 60 students of a class, 29 took Mathematics, 32 took Biology and 8 took none of the two subjects. How many students took both Mathematics and Biology?

A) 8 B) 9
C) 7 D) 6
 
Answer & Explanation Answer: B) 9

Explanation:

Number of students who took only Mathematics n(m) = 29
Number of students who took only biology n(b) = 32
Total number of students n(t) = 60
Total number of students of both mathematics and biology n(m b) = 60 - 8 = 52
Total number of students who took both = 32 + 29 - 52 = 9

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Q:

A triangle has a perimeter of 200. If two of its sides are equal and the third side is 20 more than the equal sides, what is the length of the third side?

A) 60 B) 50
C) 80 D) 70
 
Answer & Explanation Answer: C) 80

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Q:

If a + b + c = 9, ab + bc + ca = 26, a3 + b3 = 91, b3 + c3 = 72 and c3 + a3 = 35, then what is the value of abc?

A) 48 B) 24
C) 36 D) 42
 
Answer & Explanation Answer: B) 24

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Q:

Findout the odd word/letters/number/number pair from the given alternatives.

A) 8912 B) 3469
C) 5555 D) 6734
 
Answer & Explanation Answer: B) 3469

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Q:

Compound interest on a certain sum for 2 years at the rate of 11% per annum is Rs 1160.5. What will be the simple interest (in Rs) for the same
amount at the same rate of interest for 2 years?

 

A) 9000 B) 1000
C) 1100 D) 1050
 
Answer & Explanation Answer: C) 1100

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