Quantitative Aptitude - Arithmetic Ability Questions

Q:

The surface areas of three faces of a cuboid sharing a vertex are 20, 32 and 40 sq. mts. What is the volume of the cuboid in cub. m?

A) √3024 B) 184
C) 160 D) 92
 
Answer & Explanation Answer: C) 160

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Filed Under: Volume and Surface Area
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Q:

If 169 is subtracted from the square of a number, then the result obtained is 7056. What is the number?

A) 75 B) 78
C) 85 D) 87
 
Answer & Explanation Answer: C) 85

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Filed Under: Problems on Numbers
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Q:

If θ be positive acute angle and 5cosθ + 12sinθ = 13, then the value of cosθ is

A) 12/13 B) 5/13
C) 5/12 D) 1/5
 
Answer & Explanation Answer: B) 5/13

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Q:

What is the simplified value of (cotA + tan B)/(cot B + tan A)?

A) tanB cotA B) tanA cotB
C) tanA tanB D) cotA cotB
 
Answer & Explanation Answer: A) tanB cotA

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Q:

A square is inscribed in a quarter circle in such a way that two of its adjacent vertices on the radius are equidistant from the centre and other two vertices lie on the circumference. If the side of square is √(5/2) cm, then what is the radius (in cm) of the circle?

A) 2 B) 2.5
C) 5 D) 10
 
Answer & Explanation Answer: B) 2.5

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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:

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

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Q:

In ΔDEF measure of angle E is 90°. If cosD = 8/17, and DE = 16cm, then what is the length (in cm) of side DF?

 

A) 30 B) 20
C) 26 D) 34
 
Answer & Explanation Answer: D) 34

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