Aptitude and Reasoning Questions

Q:

How much time will a train of length 200 m moving at a speed of 72 kmph take to cross another train of length 300 m, moving at 36 kmph in the same direction ?

A) 58 sec B) 62 sec
C) 60 sec D) 50 sec
 
Answer & Explanation Answer: D) 50 sec

Explanation:

The distance to be covered = Sum of their lengths = 200 + 300 = 500 m.

Relative speed = 72 -36 = 36 kmph = 36 x 5/18 = 10 mps.

Time required = d/s = 500/10 = 50 sec.

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Filed Under: Problems on Trains
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8 9926
Q:

A study of native born residents in Newland found that two-thirds of the children developed considerable levels of nearsightedness after starting school, while their illiterate parents and grandparents, who had no opportunity for formal schooling, showed no signs of this disability.

 

If the above statements are true, which of the following conclusions is most strongly supported by them?

A) Only people who have the opportunity for formal ...........schooling develop nearsightedness. B) The nearsightedness in the children is caused by the ...........visual stress required by reading and other class work.
C) Both A and B D) None
 
Answer & Explanation Answer: B) The nearsightedness in the children is caused by the ...........visual stress required by reading and other class work.

Explanation:

Acording to the above stated passage only the argument " The nearsightedness in the children is caused by the ...........visual stress required by reading and other class work." will be true

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Filed Under: Deriving Conclusions From Passages
Exam Prep: GRE

25 9924
Q:

Amith can row a boat d km upstream and the same distance downstream in 5 hours 15 minutes. Also, he can row the boat 2d km upstream in 7 hours. How long will it take to row the same distance 2d km downstream for Amith ?

A) 4 hrs 10 min B) 3 hrs 15 min
C) 3 hrs 30 min D) 4 hrs 1 min
 
Answer & Explanation Answer: C) 3 hrs 30 min

Explanation:

Let the speed of boat and stream be x and y kmph respectively.

According to question

d/x+y + d/x-y = 5h 15m or 21/4 hrs ......(i)

and 2d/x-y = 7...... (ii)

From eq. (i) and (ii)

2d/x+y = 7/2

Hence, Amith will take to row 2d km distance downstream in 7/2 hrs

= 3.5 hrs

= 3 hrs 30 min.

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Filed Under: Boats and Streams
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16 9922
Q:

What is better, to have 70% discount or 40 and 30% discount consequently ?

A) 40% is better B) 70% is better
C) Both are same D) None
 
Answer & Explanation Answer: B) 70% is better

Explanation:

Let Price be Rs.100

1st CASE:

Then 100 x 70/100 = 70
=> price after discount = 100-70 = Rs.30

2nd CASE:

Then 100 x 40/100 = 40
=> price after discount = 100-40 = Rs.60
then
60 x 30/100 = 18
=> price after 2 consequent discount = 60-18 = Rs.42

=>from 1 and 2 cases, 70% discount is better.

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Filed Under: Percentage
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10 9921
Q:

What was the day on 31st Dec,2011 ?

A) Monday B) Saturday
C) Sunday D) Friday
 
Answer & Explanation Answer: B) Saturday

Explanation:

31st Dec, 2011 = (2010 years + Period from 1.1.2011 to 31.12.2011)

Odd days in 2000 years = 0

10 years has 2 leap years + 8 ordinary years.

Number of odd days in 10 years ( 2 x 2 + 8) = 5 odd days.

31st,Dec => complete year of 2011 (non-leap year) = 1 odd day.

Total number of odd days = (0 + 5 + 1) = 6.

Given day is saturday.

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Filed Under: Calendar

6 9921
Q:

The ratio of efficiencies of P, Q and R is 2 : 3 : 4. While P and R work on alternate days and Q work for all days. Now the work completed in total 10 days and the total amount they get is Rs. 1200. Find the amount of each person(respectively).

A) 200, 600, 400 B) 400, 600, 200
C) 600, 200, 400 D) 400, 200, 600
 
Answer & Explanation Answer: A) 200, 600, 400

Explanation:

Ratio of efficiencies of P, Q and R = 2 : 3 : 4

From the given data,

Number of working days of P, Q, R = 5 : 10 : 5

Hence, ratio of amount of p, Q, R = 2x5 : 3x10 : 4x5 = 10 : 30 : 20

Amounts of P, Q, R = 200, 600 and 400.

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Filed Under: Time and Work
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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8 9920
Q:

The interest on Rs.750 for 2yrs is the same as the True Discount on Rs.960 due 2yrs hence . If the rate of interest is same in both cases,it is:

A) 12% B) 14%
C) 15% D) 16
 
Answer & Explanation Answer: B) 14%

Explanation:

S.I on Rs.750= T.D on Rs. 960 

This means P.W of Rs. 960 due 2 years hence is Rs.750 

Therefore , T.D= Rs. (960 - 750) = Rs. 210 

Thus, S.I on Rs. 750 for 2 years is Rs. 210 

Rate =[ (100 x 210) / (750 x 2) ] % = 14%

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Filed Under: True Discount

1 9916
Q:

The length of a class room floor exceeds its breadth by 25 m. The area of the floor remains unchanged when the length is decreased by 10 m but the breadth is increased by 8 m. The area of the floor is 

A) 5100 sq.m B) 4870 sq.m
C) 4987 sq.m D) 4442 sq.m
 
Answer & Explanation Answer: A) 5100 sq.m

Explanation:

Let the breadth of floor be 'b' m.

Then, length of the floor is 'l = (b + 25)'

Area of the rectangular floor = l x b = (b + 25) × b

According to the question,

(b + 15) (b + 8) = (b + 25) × b

b2 + 8b + 15b + 120 = b2 + 25b

2b = 120

b = 60 m.

l = b + 25 = 60 + 25 = 85 m.

 

Area of the floor = 85 × 60 = 5100 sq.m.

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Filed Under: Area
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