Quantitative Aptitude - Arithmetic Ability Questions

Q:

PQR is right angled at Q. If m∠R = 45°, then find the value of (cosecP - √3/2)

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

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Q:

If tan(A/2) = x, then the value of x is

A) sinA/(1 - cosA) B) sinA/(1 + cosA)
C) √[sinA/(1 + cosA)] D) √[sinA/(1 - cosA)]
 
Answer & Explanation Answer: B) sinA/(1 + cosA)

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Q:

Of the 5 numbers whose average is 76, the first is 3/7 times the sum of other 4. The first number is

A) 171 B) 114
C) 76 D) 228
 
Answer & Explanation Answer: B) 114

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Q:

In the given series of numbers how many 7's are there which are immediately followed by 9 and immediately not preceeded by 5 ?

 

A) 6 B) 2
C) 1 D) 4
 
Answer & Explanation Answer: B) 2

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Q:

The length of the diagonal and the breadth of a rectangle are 26 cm and 10 cm respectively. Find its perimeter (in cm).

A) 68 B) 136
C) 43 D) 86
 
Answer & Explanation Answer: A) 68

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Q:

If x + y = 10 and xy = 4, then what is the value of x4 + y4?

A) 8464 B) 8432
C) 7478 D) 6218
 
Answer & Explanation Answer: B) 8432

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Q:

A number is greater than five times its reciprocal by 19/2. Find the number.

A) 11 B) 9
C) 10 D) 8
 
Answer & Explanation Answer: C) 10

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Q:

The sum of the ages of father and son at present is 33. Two years ago the product of their ages was 28. What is the age of the father and the son?

A) 26, 7 B) 30, 3
C) 29, 4 D) 32, 1
 
Answer & Explanation Answer: B) 30, 3

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