Quantitative Aptitude - Arithmetic Ability Questions

Q:

The ratio of the present ages of Aman and Ankit is 2 : 1 and the sum of their present ages is 72 years. What will be the Aman's age (in years) after 6 years?

A) 30 B) 48
C) 52 D) 54
 
Answer & Explanation Answer: D) 54

Explanation:
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Filed Under: Problems on Ages
Exam Prep: Bank Exams

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Q:

40 men took a dip in a pool 30 m long and 25 m broad. If the average water displaced by a man is 5 cub.m, then what will be the rise (in cm) in level of the pool?

A) 25 B) 26.66
C) 27.33 D) 28.5
 
Answer & Explanation Answer: B) 26.66

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

0 2210
Q:

What is the least number of complete years in which a sum of money put out at 40% annual compound interest will be more than trebled?

A) 3 B) 4
C) 5 D) 6
 
Answer & Explanation Answer: B) 4

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Filed Under: Compound Interest
Exam Prep: Bank Exams

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Q:

Two students appeared for an examination. One of them secured 20 marks more than the other and his marks were 55% of the sum of their marks. The marks obtained by them are

A) 92 and 72 B) 83 and 63
C) 110 and 90 D) 64 and 44
 
Answer & Explanation Answer: C) 110 and 90

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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

If a--b = 4 and ab = 45, find the value of a3 - b3

A) 604 B) 370
C) 253 D) 199
 
Answer & Explanation Answer: A) 604

Explanation:

(a  b)2 = a2 + b2 -2ab  16 = a2 + b2  90  a2 + b2 = 106 a3  b3 = (a  b) (a2 + b2 + ab)  a3  b3 = 4 X (106 + 45)  a3  b3 = 4 X 151  a3  b3 = 604

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

Find the Odd one out.

A) C B) A
C) B D) D
 
Answer & Explanation Answer: C) B

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Filed Under: Odd Man Out

0 2209
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
Exam Prep: Bank Exams

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Q:

In Δ ABC, the median AD is 7 cm and CB is 14 cm, measure of ∠CAB is

A) 30° B) 60°
C) 90° D) 120°
 
Answer & Explanation Answer: C) 90°

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Filed Under: Area
Exam Prep: Bank Exams

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