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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

An alloy is made by mixing metal A costing Rs 2000/kg and metal B costing Rs 400/kg in the ratio A:B = 3:1. What is the cost (in Rs) of 8 kilograms of this alloy?

A) 1600 B) 9800
C) 6400 D) 12800
 
Answer & Explanation Answer: D) 12800

Explanation:
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Filed Under: Alligation or Mixture
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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
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Q:

What is the value of sinAtanA/(1 - cosA)?

A) 1 - secA B) 1 + secA
C) 1 + cotA D) 1 - cotA
 
Answer & Explanation Answer: B) 1 + secA

Explanation:
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Filed Under: Simplification
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Q:

A shopkeeper by selling 21 Nike shoes, earns a profit equal to the selling price of 5 Nike shoes. His profit percentage is

A) 31.25 percent B) 23.8 percent
C) 47.6 percent D) 16.35 percent
 
Answer & Explanation Answer: A) 31.25 percent

Explanation:
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Filed Under: Percentage
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Q:

The upstream speed of the boat is 40 kmph and the speed of the boat in still water is 55 kmph. What is the downstream speed of the boat?

A) 75 kmph B) 70 kmph
C) 60 kmph D) 65 kmph
 
Answer & Explanation Answer: B) 70 kmph

Explanation:
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Filed Under: Boats and Streams
Exam Prep: Bank Exams

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Q:

Which one is the largest among the fractions (5/113), (7/120), (13/145) and (17/160)?

A) 5/113 B) 7/120
C) 13/145 D) 17/160
 
Answer & Explanation Answer: D) 17/160

Explanation:
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Filed Under: Numbers
Exam Prep: Bank Exams

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Q:

The length of the diagonal and the breadth of a rectangle are 17 cm and 8 cm respectively. Find its perimeter (in cm).

A) 92 B) 46
C) 42 D) 84
 
Answer & Explanation Answer: B) 46

Explanation:
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Filed Under: Area
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Q:

XYZ is a right angled triangle and ∠Y = 90°. If XY = 2.5 cm and YZ = 6 cm then the circumradius of ∆XYZ is

A) 6.5 cm B) 3.25 cm
C) 3 cm D) 2.5 cm
 
Answer & Explanation Answer: B) 3.25 cm

Explanation:
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Filed Under: Simplification
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