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Quantitative Aptitude - Arithmetic Ability

Quantitative Aptitude - Arithmetic Ability Questions

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Given a - b = 2, $a^{3} - b^{3} = 26$ then ${(a + b)}^{2}$ is

A) 9	B) 4
C) 16	D) 12

A) 9

B) 4

C) 16

D) 12

Answer & Explanation Answer: C) 16

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In the given figure, a circle touches the sides of the quadrilateral PQRS. The radius of the circle is 9 cm. RSP = SRQ = 60 deg and PQR = QPS = 120 deg. What is the perimeter (in cm) of the quadrilateral?

A) 36√3	B) 24√3
C) 48√3	D) 32

A) 36√3

B) 24√3

C) 48√3

D) 32

Answer & Explanation Answer: C) 48√3

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The price of an article is cut by 7%, to restore it to its original value, the new price must be increased by

A) 7 percent	B) 33.77 percent
C) 7.53 percent	D) 63.75 percent

A) 7 percent

B) 33.77 percent

C) 7.53 percent

D) 63.75 percent

Answer & Explanation Answer: C) 7.53 percent

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If x = cosecθ - sinθ and y = secθ - cosθ, then the relation between x and y is

A) x2+ y2+ 3 =1	B) x2y2 (x2+ y2+3)=1
C) x2 (x2+ y2 - 5)=1	D) y2 (x2+ y2 - 5)=1

A) x2+ y2+ 3 =1

B) x2y2 (x2+ y2+3)=1

C) x2 (x2+ y2 - 5)=1

D) y2 (x2+ y2 - 5)=1

Answer & Explanation Answer: B) x2y2 (x2+ y2+3)=1

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What is the value of (1/√3 + sin45 ) ?

A) √3+2	B) (√2+√3)/√6
C) (1+√6)/√3	D) (4+√3)/2

A) √3+2

B) (√2+√3)/√6

C) (1+√6)/√3

D) (4+√3)/2

Answer & Explanation Answer: B) (√2+√3)/√6

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If √ $(1 + \cot^{2} A) / cotA = x$ , then the value of x is

A) sinA	B) cosecA
C) secA	D) cosA

A) sinA

B) cosecA

C) secA

D) cosA

Answer & Explanation Answer: C) secA

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Two students appeared for an examination. One of them secured 22 marks more than the other and his marks were 55% of the sum of their marks. The marks obtained by them are _______.

A) 121 and 99	B) 43 and 21
C) 58 and 36	D) 86 and 64

A) 121 and 99

B) 43 and 21

C) 58 and 36

D) 86 and 64

Answer & Explanation Answer: A) 121 and 99

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A boy walking at the speed of 4 km/hr covers a certain distance in 6 hours 15 minutes. If he covers the same distance by cycle in 5 hours, then what is the speed (in km/hr) of the cycle?