Quantitative Aptitude - Arithmetic Ability Questions

Q:

The sum of a fraction and 7 times its reciprocal is 11/2. What is the fraction?

A) 7/2 B) 2/7
C) 3/4 D) 4/3
 
Answer & Explanation Answer: A) 7/2

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Q:

If the sum of ten different positive integers is 100, then what is the greatest possible number among these 10 numbers?

A) 45 B) 91
C) 55 D) 64
 
Answer & Explanation Answer: C) 55

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Q:

If α and β are roots of the equation 3x2  13x + 14 = 0, then what is the value of (α/β) + (β/α)?

A) 65/28 B) 53/14
C) 9 D) 85/42
 
Answer & Explanation Answer: D) 85/42

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Q:

If a(a + b + c) = 45, b(a + b + c) = 75 and c(a + b + c) = 105, then what is the value of (a2 + b2 + c2 )?

A) 75 B) 83
C) 217 D) 225
 
Answer & Explanation Answer: B) 83

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Q:

If cosec θ + sinθ = 5/2 then the value of cosecθ - sinθ is

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

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Q:

What is the value of [(sin 7x – sin 5x)÷(cos 7x + cos 5x)] – [(cos 6x – cos 4x)÷(sin 6x + sin 4x)]?

A) 1 B) 2 tan x
C) tan 2 x D) tan (3 x/2)
 
Answer & Explanation Answer: B) 2 tan x

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Q:

What is the value of 232 ?

A) 64 B) 128
C) 512 D) 256
 
Answer & Explanation Answer: C) 512

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Q:

Find the maximum area of a rectangular field which is surrounded by a rope of 100 meters?

A) 500 sq.m B) 325 sq.m
C) 400 sq.m D) 100 sq.m
 
Answer & Explanation Answer: C) 400 sq.m

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