Quantitative Aptitude - Arithmetic Ability Questions

Q:

A train, starting from rest, attains a velocity of 90 kmph in 5 minutes. Assuming that the acceration is uniform, the distance travelled by the train during this time is

A) 1.5 km B) 2.25 km
C) 3.75 km D) 3.25 km
 
Answer & Explanation Answer: C) 3.75 km

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Filed Under: Problems on Trains
Exam Prep: Bank Exams

3 1996
Q:

Pannalal has done 1/3rd of a job in 20 days, Saiprasad completes the rest of the job in 10 days. In how many days can they together do the job?

A) 12 days B) 6 days
C) 3 days D) 24 days
 
Answer & Explanation Answer: A) 12 days

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Filed Under: Time and Work
Exam Prep: AIEEE , Bank Exams , CAT

4 1996
Q:

Sister can bake 50 cakes in 25 hours, Sister and Mummy together can bake 75 cakes in 15 hours. How many cakes Mummy can bake in 15 hours?

A) 25 B) 45
C) 20 D) 10
 
Answer & Explanation Answer: B) 45

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Filed Under: Time and Work
Exam Prep: Bank Exams

2 1996
Q:

If sec2A + cosec2A = X, then the value of X is

A) tan2A cot2A B) sinA cosA
C) secA cosecA D) sec2A cosec2A
 
Answer & Explanation Answer: D) sec2A cosec2A

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Filed Under: Simplification
Exam Prep: Bank Exams

0 1996
Q:

A regular triangular pyramid is cut by 2 planes which are parallel to its base. The planes trisects the altitude of the pyramid. Volume of top, middle and bottom part is V1, V2 and V3 respectively. What is the value of V1 :V2 : V3?

A) 1 : 8 : 27 B) 1 : 8 : 19
C) 2 : 9 : 27 D) 1 : 7 : 19
 
Answer & Explanation Answer: D) 1 : 7 : 19

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

0 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

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Filed Under: Time and Work

1 1993
Q:

Divide 150 into two parts such that the sum of their reciprocals is 3/112. Calculate both the parts.

A) 50, 90 B) 70, 80
C) 60, 90 D) 50, 100
 
Answer & Explanation Answer: B) 70, 80

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

4 1993
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 1993