Quantitative Aptitude - Arithmetic Ability Questions

Q:

A ladder 13 m long reaches a window which is 12 m above the ground on side of a street. Keeping its foot at the same point, the ladder is turned to the other side of the street to each a window 5m high, then the width of the street is :

A) 17 m B) 16 m
C) 14 m D) 15 m
 
Answer & Explanation Answer: A) 17 m

Explanation:
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Filed Under: Height and Distance
Exam Prep: Bank Exams

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Q:

The income of S, T and U are in the ratio of 7 : 9 : 6 and their expenses in the ratio of 4 : 5 : 3. If S saves Rs 2000 out of an income of Rs 14000, then what will be the saving (in Rs) of T?

A) 2400 B) 1500
C) 3000 D) 2000  
 
Answer & Explanation Answer: C) 3000

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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Q:

What is the equation of the line whose y-intercept is -3 and makes an angle of 45° with the positive x-axis?

A) x - y = -3 B) x + y = 3
C) x - y = 3 D) x + y = -3
 
Answer & Explanation Answer: C) x - y = 3

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Filed Under: Area
Exam Prep: Bank Exams

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Q:

The product of two numbers is 48. If one number equals "The number of wings of a bird plus 2 times the number of fingers on your hand divided by the number of wheels of a Tricycle". Then the other number is

A) 9 B) 10
C) 12 D) 18
 
Answer & Explanation Answer: C) 12

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

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Q:

In triangle PQR, the sides PQ and PR are produced to A and B respectively. The bisectors of ∠AQR and ∠BRQ intersect at point O. If ∠QOR = 50°, then what is the value (in degrees) of ∠QPR?

A) 50 B) 60
C) 80 D) 100
 
Answer & Explanation Answer: C) 80

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Filed Under: Volume and Surface Area
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Q:

Three consecutive integers form the lengths of a right-angled triangle. How many sets of such three consecutive integers is/are possible?

A) Only one B) Only two
C) Only three D) Infinitely many
 
Answer & Explanation Answer: A) Only one

Explanation:

let n-1, n, n+1 be 3 consecutive integers

So

(n+1)^2= n^2+ (n-1)^2

(n+1)^2-(n-1)^2= n^2

4n = n^2

So n = 0 or n = 4

n can’t be 0 as n-1 will be negative then

So 3,4 and 5 is the only triplet formed.

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

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Q:

If X+Y=3,XY=2, find the value of X3-Y3

A) 7 B) 3
C) 5 D) 9
 
Answer & Explanation Answer: A) 7

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Q:

Two fractions are such that their product is ­4 and sum is ­32/15. Find the two fractions.

A) 6/15, ­-10/3 B) 6/5, ­-10/3
C) 7/2, ­-8/7 D) -10/7, 14/5
 
Answer & Explanation Answer: A) 6/15, ­-10/3

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

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