Quantitative Aptitude - Arithmetic Ability Questions

Q:

What is the simplified value of (sec A + cos A)(sec A – cos A)?

A) 2 tan2A B) 2 sin2 A
C) sin2 A tan2 A D) sin2A + tan2 A
 
Answer & Explanation Answer: D) sin2A + tan2 A

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Filed Under: Simplification
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Q:

If 5x + 4(1 -­ x) > 3x - ­4 > 5x/3 -­ x/3; then x can take which of the following values?

A) 2 B) 1
C) 3 D) -2
 
Answer & Explanation Answer: C) 3

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Q:

Which of the following points lies on the line 3x -­ 4y = ­-13?

A) (­5,­7) B) (­-5,­7)
C) (­5,­-7) D) (­-5,­-7)
 
Answer & Explanation Answer: A) (­5,­7)

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Q:

What is the reflection of the point (1 , 2) in the line y = 3?

A) (1, -4) B) (1, 4)
C) (-1, -4) D) (-1, 4)
 
Answer & Explanation Answer: B) (1, 4)

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Q:

A train is moving with uniform speed crosses two tunnels of lengths 270 metres and 450 metres in 12 seconds and 15 seconds respectively. What is the speed (in km/hr) of the train?

 

A) 144 B) 169
C) 196 D) 216
 
Answer & Explanation Answer: D) 216

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Q:

The average height of A, B and C is 148 cm. If the average height of A and B is 136 cm and that of B and C is 125 cm, then what is the height (in cm) of B?

A) 56 B) 78
C) 112 D) 130
 
Answer & Explanation Answer: B) 78

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Q:

What must be the length (in cm) of the diagonal of a rectangle if its area and breadth are 120 sq.cm and 8 cm respectively ?

A) 34 B) 17
C) 15 D) 30
 
Answer & Explanation Answer: B) 17

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Q:

Two circles touch each other internally. The radius of the smaller circle is 6 cm and the distance between the centre of two circles is 3 cm. The radius of the larger circle is

A) 7.5 cm B) 9 cm
C) 8 cm D) 10 cm
 
Answer & Explanation Answer: B) 9 cm

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