Quantitative Aptitude - Arithmetic Ability Questions

Q:

A sphere of radius 5 cm is melted to form a cone with base of same radius. The height (in cm) of the cone is

A) 5 B) 10
C) 20 D) 22
 
Answer & Explanation Answer: C) 20

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Q:

The cash difference between the selling price of an article at a profit of 2% and 18% is Rs. 3. The ratio of two selling prices is

A) 51:59 B) 51:53
C) 51:60 D) 55:59
 
Answer & Explanation Answer: A) 51:59

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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Q:

A, B and C can do a job working alone in 6, 9 and 18 days respectively. They all work together for 1 day, then A and B quit. How many days C working alone will take to complete the remainder of the job?

A) 9 B) 6
C) 12 D) 10
 
Answer & Explanation Answer: C) 12

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Filed Under: Time and Work
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Q:

ΔABC is similar to ΔPQR. Length of AB is 18 cm and length of the corresponding side PQ is 12 cm. If area of ΔABC is 324 sq cm, what is the area of ΔPQR?

A) 72 sq cm B) 144 sq cm
C) 36 sq cm D) 487.5 sq cm
 
Answer & Explanation Answer: B) 144 sq cm

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Filed Under: Volume and Surface Area
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Q:

Breadth of a rectangle is equal to the diagonal of the square whose side is 2.5√2 cm. Ratio between length and breadth of rectangle is 3 : 1. Find the area of the rectangle (in cm2).

A) 75 B) 90
C) 85 D) 80
 
Answer & Explanation Answer: A) 75

Explanation:

Diagonal of Square = Side √2= 2.5√2 × √2= 5 cm
Breadth = 5 cm
Length of rectangle = 5 × 3 = 15 cm
Area of rectangle = 15 × 5 = 75 cm2

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Q:

Find the value of sin230 cos245 + 4 tan230 + 1/2sin290 - 2 cos290 + 1/24

A) 3 B) 4
C) 2 D) 1
 
Answer & Explanation Answer: C) 2

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Q:

For triangle ABC, find equation of median AD if co-ordinates of A, B and C are (-1,-3), (5,-4) and (3,2) respectively?

A) 2x - 5y = 17 B) 2x - 5y = 13
C) 2x + 5y = 13 D) 2x + 5y = 17
 
Answer & Explanation Answer: B) 2x - 5y = 13

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Filed Under: Area
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Q:

If (-1/2) * ( x - 5) + 3 = -5/2, then what is the value of x?

A) 16 B) 4
C) -6 D) -4
 
Answer & Explanation Answer: A) 16

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