Quantitative Aptitude - Arithmetic Ability Questions

Q:

Present ages of Rahul and his brother are in the ratio of 5 : 3. After 4 years ratio of ages of Rahul’s brother and his sister will be 5 : 6. If the present age of his sister is 26 years, then what will be the age (in years) of Rahul 3 years from now?

 

A) 38 B) 35
C) 40 D) 31
 
Answer & Explanation Answer: A) 38

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Filed Under: Problems on Ages
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Q:

Among three numbers, the first is twice the second and thrice the third. If the average of three numbers is 396, then what is the difference between the first and the third number?

A) 594 B) 448
C) 432 D) 453
 
Answer & Explanation Answer: C) 432

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Q:

The average marks obtained by a group of 10 students were 20. One student left the group as a result of which the average of the remaining students rose to 21. But another student joined, as a result of which the average marks of the group dropped a bit and became 20.6. What were the average marks obtained by the student who left and the one who joined?

 

A) 14 B) 15
C) 16 D) 23
 
Answer & Explanation Answer: A) 14

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Q:

A right circular cylinder is partially filled with water. Two iron spherical balls are completely immersed in the water so that the height of the water in the cylinder rises by 4 cm. If the radius of one ball is half of the other and the diameter of the cylinder is 18 cm, then the radii of the spherical balls are

A) 6 cm and 12 cm B) 4 cm and 8 cm
C) 3 cm and 6 cm D) 2 cm and 4 cm
 
Answer & Explanation Answer: C) 3 cm and 6 cm

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Filed Under: Volume and Surface Area
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Q:

The simplified value of 3-212-18 - 13 × 27 - 12 x 273 is closest to

A) (√3 - 1) B) (1 - √3)
C) - (-√3 - 1) D) - (√3 + 1)
 
Answer & Explanation Answer: D) - (√3 + 1)

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Q:

The average of marks obtained by 100 candidates in a certain examination is 30. If the average marks of passed candidates is 35 and that of the failed candidates is 10, what is the number of candidates who passed the examination?

A) 60 B) 70
C) 80 D) 90
 
Answer & Explanation Answer: C) 80

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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:

Two fractions are such that their product is ­4 and sum is ­32/15. Find the two fractions.

A) 6/15, ­-10/3 B) 6/5, ­-10/3
C) 7/2, ­-8/7 D) -10/7, 14/5
 
Answer & Explanation Answer: A) 6/15, ­-10/3

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Filed Under: Problems on Numbers
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