Quantitative Aptitude - Arithmetic Ability Questions

Q:

The ratio of volume of a cone to that of a cylinder if cylinder radius is reduced by 4 times and its height increased by 8 times of that of the cone, is - 

A) 3:2 B) 2:3
C) 5:7 D) 7:5
 
Answer & Explanation Answer: B) 2:3

Explanation:

Ans. Let radius of the base and height of the cone be ‘r’ & ‘h’ respectively.

Then volume of cone = πr2h/3 For cylinder, radius is reduced by 4 times = r/4 And,  height is increased by 8 folds = 8h Volume of cylinder = πR2H = π(r/4)2 (8h) = (16/8)πr2h = πr2h/2 Ratio of volume of cone to volume of cylinder = (πr2h/3) : (πr2h/2) Or, Ratio = 2 : 3.

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1 1995
Q:

Ram and Hari can cut 12 kgs nuts in 2 days. After 5 days, Hari left the work. Ram took 8 more days to cut the rest of the nuts. If total of 58 kgs of nuts were cut, the time taken by Hari to cut 10 kg of nuts is

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

Explanation:
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Filed Under: Time and Work

1 1995
Q:

8 men can complete a work in 16 days. 16 women can complete the same work in 24 days. In how many days can 4 men and 8 women complete the same work?

A) B)
C) D)
 
Answer & Explanation Answer:

Explanation:
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Filed Under: Time and Work
Exam Prep: Bank Exams

10 1994
Q:

30 women do half of the total work in 30 days. How many more women will be required to complete the remaining work in 10 days?

A) 45 B) 30
C) 60 D) 80
 
Answer & Explanation Answer: C) 60

Explanation:
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Filed Under: Time and Work
Exam Prep: Bank Exams

0 1993
Q:

If a+b=3 then the value of a3+b3+9ab-­27 is

A) 24 B) 25
C) 0 D) 27
 
Answer & Explanation Answer: C) 0

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

2 1991
Q:

A does 60% of a work in 15 days. He then calls B, and they together finish the remaining work in 5 days. How long B alone would take to do the whole work?

A) 25 days B) 20 days
C) 80 days D) 24 days
 
Answer & Explanation Answer: A) 25 days

Explanation:
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Filed Under: Time and Work
Exam Prep: Bank Exams

0 1988
Q:

If A's salary is 40% less than that of B, then how much percent is B's salary more than that of A?

A) 33 1⁄3 B) 66 2⁄3
C) 33 2⁄3 D) 66 1⁄3
 
Answer & Explanation Answer: B) 66 2⁄3

Explanation:
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Filed Under: Percentage
Exam Prep: Bank Exams

2 1987
Q:

A student multiplied a number by 4/7 instead of 7/4. What is the percentage error in the calculation?

A) 206.25 percent B) 67.35 percent
C) 33.67 percent D) 103.13 percent
 
Answer & Explanation Answer: B) 67.35 percent

Explanation:
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Filed Under: Percentage
Exam Prep: Bank Exams

1 1987