Quantitative Aptitude - Arithmetic Ability Questions

Q:

If (cotAcotB - 1) / (cotB + cotA) = x, then the value of x is

A) cot(A - B) B) tan(A + B)
C) cot(A + B) D) tan(A - B)
 
Answer & Explanation Answer: C) cot(A + B)

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Q:

If √20 + √125 = 15.65, then what is the value of √45 + √5?

A) 6.98 B) 8.94
C) 9.98 D) 11.27
 
Answer & Explanation Answer: B) 8.94

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Q:

In the following question, four groups of three numbers are given. In each group the second and third number are related to the first number by a Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.

A) (8, 23, 15) B) (17, 52, 33)
C) (12, 35, 23) D) (15, 44, 29)
 
Answer & Explanation Answer: B) (17, 52, 33)

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Q:

The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 16% per annum is Rs 320. What is the value of given sum (in Rs)?

A) 25000 B) 50000
C) 37500 D) 12500
 
Answer & Explanation Answer: D) 12500

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Q:

Three consecutive natural numbers are such that the square of the greatest is greater than the product of the other two by 19. The smallest of these numbers is

A) 5 B) 6
C) 7 D) 4
 
Answer & Explanation Answer: A) 5

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Q:

To get number 40, the number 56/9 should be multiplied with

A) 52/7 B) 26/7
C) 45/6 D) 45/7
 
Answer & Explanation Answer: A) 52/7

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Q:

What is the value of [1/(1 – tan θ)] – [1/(1 + tan θ)]?

A) tan θ B) cot 2θ
C)  tan 2θ D) cot θ
 
Answer & Explanation Answer: C)  tan 2θ

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Q:

A car takes 5 hours to cover 100 kms distance at a particular speed whereas another car takes 3 hours to reach a particular distance at the same speed. Find the distance.

A) 40 km B) 60 km
C) 70 km D) 80 km
 
Answer & Explanation Answer: B) 60 km

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