Quantitative Aptitude - Arithmetic Ability Questions

Q:

In a class, 60% of children like Mathematics, 45% like Science and 25% like both Mathematics and Science. What is the percentage of children who like at least one subject?

A) 70% B) 80%
C) 45% D) 55%
 
Answer & Explanation Answer: B) 80%

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Q:

If 9x+2 = 240 + 9x, the value of (8x)x is

A) 1 B) -1
C) 0 D) 2
 
Answer & Explanation Answer: D) 2

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Q:

What is the value of Cot 45°+ 1/3 Cosec 60°?

A) √3 + 2 B) (9 + 2√3)/9
C) √3 D) (2√2 + 3)/√6
 
Answer & Explanation Answer: B) (9 + 2√3)/9

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Q:

If x = √2+1, then the value of x4-1/x4

A) 8√2 B) 18√2
C) 6√2 D) 24√2
 
Answer & Explanation Answer: D) 24√2

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Q:

Study the information carefully to answer the following questions: An urn contains 5 red, 3 green, 2 blue and 4 yellow marbles. If three marbles are picked at random, what is the probability that one is green and two are yellow?

A) 3/14 B) 2/91
C) 9/182 D) 7/545
 
Answer & Explanation Answer: C) 9/182

Explanation:

Required probability = 3×6364=9182

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Q:

Find the volume (in cub.cm) of a sphere of diameter 42 cm

A) 17779 B) 36922
C) 38808 D) 13371
 
Answer & Explanation Answer: C) 38808

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Q:

ΔABC and ΔDEF are two similar triangles and the perimeter of ΔABC and ΔDEF are 30 cm and 18 cm respectively. If length of DE = 36 cm, then length of AB is

A) 60 cm B) 40 cm
C) 45 cm D) 50 cm
 
Answer & Explanation Answer: A) 60 cm

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Q:

The tops of two poles of height 60 metres and 35 metres are connected by a rope. If the rope makes an angle with the horizontal whose tangent is 5/9 metres, then what is the distance (in metres) between the two poles?

A) 63 B)  30
C) 25 D) 45
 
Answer & Explanation Answer: D) 45

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