Quantitative Aptitude - Arithmetic Ability Questions

Q:

Length and breadth of a rectangle are increased by 40% and 70% respectively. What will be the percentage increase in the area of rectangle?

A) 118 B) 110
C) 138 D) 128
 
Answer & Explanation Answer: C) 138

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Q:

If 7x - [3(2x - 3)]/2 = 1/2, then what is the value of x?

A) -1 B) 1
C) 3 D) -3
 
Answer & Explanation Answer: A) -1

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Q:

The marked price of a book is Rs 4200. The shopkeeper gives two successive discounts of 25% and y% to the customer. If the customer pays Rs 2898 for the book, then what is the value (in percentage) of y?

 

A) 7 B) 8
C) 6 D) 5
 
Answer & Explanation Answer: B) 8

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Q:

What is the value of (1 + cotA)2 + (1 -­ cotA)2?

A) 2cosec2A B) 2sec2A
C) 1 -­ 2cosec2A D) 1 -­ 2sec2A
 
Answer & Explanation Answer: A) 2cosec2A

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Q:

Calculate the angle subtended by the chord at the point on the major arc if the radius and the chord of the circle are equal in length.

A) 30° B) 120°
C) 200° D) 300°
 
Answer & Explanation Answer: A) 30°

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Q:

If cos 45° - ­ sec 30° = x, then value of x is

A) (1+√2)/2 B) (2√2­√3)/2
C) (√3­2√2)/√6 D) 4/√3
 
Answer & Explanation Answer: C) (√3­2√2)/√6

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Q:

PQR is an equilateral triangle whose side is 10 cm. What is the value (in cm) of the inradius of triangle PQR?

A) 5/√3 B) 10√3
C) 10/√3 D) 5√2
 
Answer & Explanation Answer: A) 5/√3

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Q:

If the roots of the equation a(b  c)x2 + b(c  a)x + c(a  b) = 0 are equal, then which of the following is true?

A) b = ( a + c)/ ac B) 2/ b = (1/ a) + (1/ c)
C) 2 b = (1/ a) + (1/ c) D) abc = ab + bc + ca
 
Answer & Explanation Answer: B) 2/ b = (1/ a) + (1/ c)

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