Quantitative Aptitude - Arithmetic Ability Questions

Q:

Which of the following statements is not true?

A) The difference of two prime numbers, both greater than 2, is divisible by 2 B) For two different integers m, n and a prime number p, if p divides the product m × n, then p divides either m or n.
C)  If a number is of the form 6n –1 (n being a natural number), then its is a prime number. D) There is only one set of three prime numbers such that there is a gap of 2 between two adjacent prime numbers.
 
Answer & Explanation Answer: D) There is only one set of three prime numbers such that there is a gap of 2 between two adjacent prime numbers.

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Q:

The length of the two parallel sides of a trapezium are 16 m and 20 m respectively. If its height is 10 m, its area in square metres is

A) 360 B) 260
C) 240 D) 180
 
Answer & Explanation Answer: D) 180

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Q:

If Cos θ = 5/13, then Cosec θ = ?

A) 5/12 B) 12/5
C) 13/5 D) 13/12
 
Answer & Explanation Answer: D) 13/12

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Q:

A book is sold at three successive discounts of 20%, 20% and 10%. What is the net discount (in percentage)?

A) 42.4 B) 48.6
C) 44.2 D) 40.4
 
Answer & Explanation Answer: A) 42.4

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Q:

If a2b+c=b2c+a=c2a+b=1 then the value of 21+a+21+b+21+c

A) 0 B) 1
C) 2 D) 3
 
Answer & Explanation Answer: C) 2

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Q:

What is the simplified value of [(sec3x  tan3x)/(sec x  tan x)]  2 tan2x  sec x tan x?

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

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Q:

The circumferences of two circles are touching externally. The distance between their centres is 12 cm. The radius of one circle is 7 cm. Find the diameter(in cm) of the other circle.

A) 12 B) 10
C) 8 D) 5
 
Answer & Explanation Answer: B) 10

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Q:

The perimeters of a square and an equilateral triangle are equal. If the diagonal of the square is 9 cm, what is the area of the equilateral triangle?

A) 18√3 sq cm B) 9√3 sq cm
C) 18√2 sq cm D) 9√2 sq cm
 
Answer & Explanation Answer: A) 18√3 sq cm

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