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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

In an army selection process, the ratio of selected to unselected candidates was 4:1. If 90 less had applied and 20 less selected, the ratio of selected to unselected would have been 5:1. How many candidates had applied for the process?

A) 1650 B) 3300
C) 825 D) 4950
 
Answer & Explanation Answer: A) 1650

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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Q:

In new government policy, the price of onion is raised by 35%. By what % should a person reduce onion consumption so that the expenditure on it does not increase?

A) 25% B) 29%
C) 26% D) 33%
 
Answer & Explanation Answer: C) 26%

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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

Three numbers are in the ratio of 3:5:10 and their LCM is 630. Find their HCF.

A) 21 B) 42
C) 63 D) 36
 
Answer & Explanation Answer: A) 21

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Filed Under: HCF and LCM
Exam Prep: Bank Exams

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Q:

What is the simplified value of 1-sin A1+sin A ?

A) tan A B) sec A
C) sec A + tan A D) sec A – tan A
 
Answer & Explanation Answer: D) sec A – tan A

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Filed Under: Simplification
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Q:

Two equal circles intersect such that each passes through the centre of the other. If the length of the common chord of the circles is 10√3 cm, then what is the diameter of the circle?

A) 10 cm B) 15 cm
C) 20 cm D) 30 cm
 
Answer & Explanation Answer: C) 20 cm

Explanation:

Let there be 2 circles with centre O1 and OAB is the common chord

Since both passes through the center of each other as shown in figure

So O1O is the radius of both

Let O1O = r = AO1= AO

AX = AB / 2 = 5√3 cm (since OX perpendicular to chord bisects it)

AOO1 forms an equilateral triangle with on side = radius = r

Sin 60 = √3/2 = AX / AO = 5√3/r

So r = 10 cm

So diameter = 20 cm

 

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Filed Under: Simplification
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Q:

In ΔABC, D and E are points on side AB and AC respectively. DE is parallel to BC. If lengths of AD, DB and DE are 8 cm, 6 cm and 7.2 cm respectively, find length of BC?

A) 12.6 cm B) 9.3 cm
C) 8.1 cm D) 5.4 cm
 
Answer & Explanation Answer: A) 12.6 cm

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Q:

Find the value of 200 x 20 x 2 x 0.2 x 0.02 x 0.002 = ?

A) 0.064 B) 0.64
C) 64 D) 640
 
Answer & Explanation Answer: A) 0.064

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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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Filed Under: Numbers
Exam Prep: Bank Exams

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