Quantitative Aptitude - Arithmetic Ability Questions

Q:

Two equal circles intersect so that their centres, and the points at which they intersect form a square of side 1 cm. The area (in sq.cm) of the portion that is common to the circles is

A) π4 B) π2-1
C) π5 D) √2 - 1
 
Answer & Explanation Answer: B) π2-1

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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

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Q:

The line segment AB intersects the straight line CD at B; AB will be smallest when ∠ ABD (in degrees) is

A) 30 B) 60
C) 90 D) 45
 
Answer & Explanation Answer: C) 90

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Q:

Two students appeared for an examination. One of them secured 26 marks more than the other and his marks were 75% of the sum of their marks. The marks obtained by them are

A) 53 and 27 B) 60 and 34
C) 39 and 13 D) 78 and 52
 
Answer & Explanation Answer: C) 39 and 13

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Q:

If the measures of the angles of a triangle are in the ratio. 1:2:3 and if the length of the smallest side of the triangle is 10cm, then the length of the longest side is

A) 20cm B) 22cm
C) 24cm D) 18cm
 
Answer & Explanation Answer: A) 20cm

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Q:

(1132 + 1152 + 1172 - 113 x 115 - 115 x 117 - 117 x 113) is equal to

A) 0 B) 4
C) 8 D) 12
 
Answer & Explanation Answer: D) 12

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Q:

The length of diagonal BD of a parallelogram ABCD is 36 cm. P and Q are the centroids of triangle ABC and triangle ADC respectively. What is the length (in cm) of PQ?

A) 6 B) 9
C) 12 D) 18
 
Answer & Explanation Answer: C) 12

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Q:

The mean of marks secured by 45 students in division A of class X is 69, 65 students of division B is 65 and that of 50 students of division C is 63. Find the mean of marks of the students of three divisions of Class X.

A) 65.5 B) 64.8
C) 64.1 D) 66.9
 
Answer & Explanation Answer: A) 65.5

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