Quantitative Aptitude - Arithmetic Ability Questions

Q:

A solid cone of height 36 cm and radius of base 9 cm is melted to form a solid cylinder of radius 9 cm and height 9 cm. What percent of material is wasted this process?

A) 25 B) 5
C) 0 D) 10
 
Answer & Explanation Answer: A) 25

Explanation:
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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
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Q:

HCF of two numbers is 19 and their LCM is 665. If one of the number is 95, find the other.

A) 19 B) 133
C) 190 D) 77
 
Answer & Explanation Answer: B) 133

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Filed Under: HCF and LCM
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Q:

What is the value of cos (90 – B) sin (C – A) + sin (90 + A) cos (B + C) – sin (90 – C) cos (A + B)?

A) 1 B) sin ( A + B – C)
C) cos ( B + C – A) D) 0
 
Answer & Explanation Answer: D) 0

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Filed Under: Simplification
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Q:

If (6x ­- 5) = (4x + 7), then the numerical value of (x + 1)3  is

A) 216 B) 125
C) 64 D) 343
 
Answer & Explanation Answer: D) 343

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Q:

If 90% of A = 30% of B and B = x% of A, find x.

A) 600 B) 900
C) 300 D) 1200
 
Answer & Explanation Answer: C) 300

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Filed Under: Percentage
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Q:

The price of a Television is Rs.14000 inclusive of VAT. If the rate of VAT is 12%, find the basic price of the Television.

A) Rs.13500 B) Rs.13000
C) Rs.12500 D) Rs.12000
 
Answer & Explanation Answer: C) Rs.12500

Explanation:
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Filed Under: Percentage
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Q:

If the perimeter of a semicircle is 36 cm, then find its area (in cm2).

A) 154 B) 35
C) 77 D) 70
 
Answer & Explanation Answer: C) 77

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Filed Under: Area
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