Quantitative Aptitude - Arithmetic Ability Questions

Q:

Calculate the difference between the square of the largest and smallest two-digit prime numbers.

A) 9298 B) 9892
C) 9292 D) 9288
 
Answer & Explanation Answer: D) 9288

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Filed Under: Problems on Numbers
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Q:

'P' is the smallest positive integer such that every positive integer N greater than 'P' can be written as a sum of two composite numbers. Then 'P' is

A) 10 B) 3
C) 11 D) 6
 
Answer & Explanation Answer: C) 11

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Q:

If the measure of the interior angle of a regular polygon is 120 deg then how many sides does it have?

 

A) 6 B) 8
C) 9 D) 10
 
Answer & Explanation Answer: A) 6

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Filed Under: Area
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Q:

In ΔPQR, S and T are points on side PQ and PR respectively. ST is parallel to QR. If S divides PQ in the ratio 4:3 and length of QR is 4.9 cm, find ST?

A) 5.6 cm B) 7.2 cm
C) 2.8 cm D) 3.6 cm
 
Answer & Explanation Answer: C) 2.8 cm

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Filed Under: Simplification
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Q:

Two trains are moving in the same direction at the speed of 24 km/hr and 50 km/hr. The time taken by faster train to cross a man sitting in the slower train is 72 seconds. What will be the length (in metres) of the faster train?

 

A) 560   B) 490  
C) 520   D) 640
 
Answer & Explanation Answer: C) 520  

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Filed Under: Problems on Trains
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Q:

AD is the Median of Δ ABC. If O is the centroid and AO = 10 cm then OD is

A) 5 cm B) 20 cm
C) 10 cm D) 30 cm
 
Answer & Explanation Answer: A) 5 cm

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Filed Under: Volume and Surface Area
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Q:

Two circles of same radius intersect each other at P and Q. If the length of the common chord is 30 cm and distance between the centres of the two circlesis 40 cm, then what is the radius (in cm) of the circles?

A) 25 B) 26
C) 27 D) 28
 
Answer & Explanation Answer: A) 25

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Q:

The corners of a square of side ‘a’ are cut away so as to form a regular octagon. What is the side of the octagon?

A) a(√2 –1) B) a(√3 –1)
C) a/√2+2 D) a/3
 
Answer & Explanation Answer: A) a(√2 –1)

Explanation:

Since we are forming a regular octagon

so AE = AL = FB = BG and so on

So AE = SB = x/√2

AE + EF + FB = side of square = a (Given)

So x/√2 + x + x/√2 = a

X = a/(√2+1) = a(√2 -1)

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Filed Under: Volume and Surface Area
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