1.1.What is the length of a running train?
I. The train crosses a man in 9 seconds.
II. The train crosses a 240 metre long platform in 24 seconds
A. I alone sufficient while II alone not sufficient to answer
B. II alone sufficient while I alone not sufficient to answer
C. Either I or II alone sufficient to answer
D. Both I and II are not sufficient to answer
E. Both I and II are necessary to answer
2.If a real estate agent received a commission of 6 percent of the selling price of a certain house, what was the selling price of the house?
(1) The selling price minus the real estate agent's commission was $84,600.
(2) The selling price was 250 percent of the original purchase price of $36,000.
(A) Statement (1)alone is sufficient, but statement (2) alone is not sufficient.
(B) Statement (2) alone is sufficient, but statement (1) alone is not sufficient.
(C)Both statements together are sufficient, but neither statement alone is sufficient.
(D)each statement alone is sufficient.
(E) Statements (1) and (2) together are not sufficient.
3.A certain number of men complete a piece of work in 60 days. If there were 8 men more, the work could be finished in 10 days less. How many men were originally there?
A. 30
B. 40
C. 32
D. 36
E. 45
4. passenger train covers the distance between stations X and Y, 50 minutes faster than a goods train. Find this distance if the average speed of the passenger train is 60 kmph and that of goods train is 20 kmph.
A. 20 kms
B. 25 kms
C. 45 kms
D. 40 kms
E. 30 kms
Answer:and Explanation:
1. E
Time taken by train to cross a man = Length of train => Speed = L (i)
Speed of train 9
Time taken by train
to cross a platform = (Length of train +Length of platform)
Speed of train => Speed = L + 240 ....(ii)
24
From (i) and (ii), we get L= L + 240 .
9 24
Thus, L can be obtained. So both I and II are necessary to get the answer.
.
2.[D].
3.[B]
.Let be the original number of men be x
60x = (x + 8) 50
60x = 50x + 400
10 x = 400
x = 40
4.B
Let 'd' be the distance between the stations X and Y.
Time taken by the passenger train to cover the distance 'd' = d/60 hour
Time taken by the goods train to cover the distance 'd' = d/20 hour
Time difference between these two trains is given by 50 minutes or 50/60 hour
i.e., (d/20) - (d/60) = 50/60
=>(3d - 1d)/60 = 50/60
=> 2d / 60 = 50/60
=>d = 256
5.B
Area of the park = (60 x 40) m2 = 2400 m2.
Area of the lawn = 2109 m2.
Area of the crossroads = (2400 - 2109) m2 = 291 m2.
Let the width of the road be x metres. Then,
60x + 40x - x2 = 291
x2 - 100x + 291 = 0
(x - 97)(x - 3) = 0
x = 3.
I. The train crosses a man in 9 seconds.
II. The train crosses a 240 metre long platform in 24 seconds
A. I alone sufficient while II alone not sufficient to answer
B. II alone sufficient while I alone not sufficient to answer
C. Either I or II alone sufficient to answer
D. Both I and II are not sufficient to answer
E. Both I and II are necessary to answer
2.If a real estate agent received a commission of 6 percent of the selling price of a certain house, what was the selling price of the house?
(1) The selling price minus the real estate agent's commission was $84,600.
(2) The selling price was 250 percent of the original purchase price of $36,000.
(A) Statement (1)alone is sufficient, but statement (2) alone is not sufficient.
(B) Statement (2) alone is sufficient, but statement (1) alone is not sufficient.
(C)Both statements together are sufficient, but neither statement alone is sufficient.
(D)each statement alone is sufficient.
(E) Statements (1) and (2) together are not sufficient.
3.A certain number of men complete a piece of work in 60 days. If there were 8 men more, the work could be finished in 10 days less. How many men were originally there?
A. 30
B. 40
C. 32
D. 36
E. 45
4. passenger train covers the distance between stations X and Y, 50 minutes faster than a goods train. Find this distance if the average speed of the passenger train is 60 kmph and that of goods train is 20 kmph.
A. 20 kms
B. 25 kms
C. 45 kms
D. 40 kms
E. 30 kms
| 5.A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road? A. 2.91 m B. 3 m C. 5.82 D. 4 E None of these |
|
Answer:and Explanation:
1. E
Time taken by train to cross a man = Length of train => Speed = L (i)
Speed of train 9
Time taken by train
to cross a platform = (Length of train +Length of platform)
Speed of train => Speed = L + 240 ....(ii)
24
From (i) and (ii), we get L= L + 240 .
9 24
Thus, L can be obtained. So both I and II are necessary to get the answer.
.
2.[D].
3.[B]
.Let be the original number of men be x
60x = (x + 8) 50
60x = 50x + 400
10 x = 400
x = 40
4.B
Let 'd' be the distance between the stations X and Y.
Time taken by the passenger train to cover the distance 'd' = d/60 hour
Time taken by the goods train to cover the distance 'd' = d/20 hour
Time difference between these two trains is given by 50 minutes or 50/60 hour
i.e., (d/20) - (d/60) = 50/60
=>(3d - 1d)/60 = 50/60
=> 2d / 60 = 50/60
=>d = 256
5.B
Area of the park = (60 x 40) m2 = 2400 m2.
Area of the lawn = 2109 m2.
Area of the crossroads = (2400 - 2109) m2 = 291 m2.
Let the width of the road be x metres. Then,
60x + 40x - x2 = 291
x2 - 100x + 291 = 0
(x - 97)(x - 3) = 0
x = 3.
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