1) A man walks at 5kmph for 6hr and at 4km/h for 12hr. His average speed is
Your answer : 4 1/3 km/h
Solution
Average speed = Total distance/Total time
= 5*6 + 4*12 / 18
=4 1/3 km/h
2) 2, 7, 14, 23, ?, 47
Your answer : 28
Correct answer : 34
Solution
The given sequence is +5, +7, +9, ——
ie. 2+ 5 = 7, 7 + 7 = 14, 14 + 9 = 23
Missing Number = 23 + 11 = 34.
3) A train 150 m long is running at a speed of 68 kmph. How long does it take to pass
a man who is running at 8 kmph in the same direction as the train?
Your answer : 9 Sec
Solution
Speed of the train relative to man = (68 - 8) kmph
= (60* 5/18) m/sec = (50/3)m/sec
Time taken by the train to cross the man
= Time taken by It to cover 150 m at 50/3 m / sec = 150 *3/ 50 sec = 9sec
4) If 5 women or 8 girls can do a work in 84 days. In how many days can 10 women
and 5 girls can do the same work?
Your answer : 52 Days
Correct answer : 32 Days
Solution
Given that 5 women is equal to 8 girls to complete a work.
So, 10 women = 16 girls.
Therefore 10 women + 5 girls = 16 girls + 5 girls = 21 girls.
8 girls can do a work in 84 days then 21 girls can do a work in (8*84/21) = 32 days.
Therefore 10 women and 5 girls can a work in 32 days
5) If 30% of a number is 12.6, find the number?
Your answer : 40
Correct answer : 42
Solution
6) A man can cover a distance in 1hr 24min by covering 2/3 of the distance at 4 km/h
and the rest at 5km/h. The total distance is
Your answer : No option was selected
Correct answer : 6 Km
Solution
Distance = 2/3S
Distance=1-2/3S=1/3S
21/15 hr=2/3 S/4 + 1/3s /5
84=14/3S * 3
S= 6km
7) 4, 6, 12, 14, 28, 30, ?
Your answer : No option was selected
Correct answer : 60
Solution
The given sequence is a combination of two series 4, 12, 28, .... and 6,
14, 30, .... The pattern is +8, +16, +32. So, the missing number = (28 + 32) = 60
8) A train is moving at a speed of 132 km/hr. If the length of the train is 110 metres,
how long will it take to cross a railway platform 165 metres long?
Your answer : No option was selected
Correct answer : 7½ sec
Solution
Speed of train = 132 *(5/18) m/sec = 110/3 m/sec.
Distance covered in passing the platform = (110 + 165) m = 275 m.
Time taken =275 *(3/110) sec =15/2 sec = 7 ½ sec
9) If 34 men completed 2/5th of a work in 8 days working 9 hours a day. How many
more man should be engaged to finish the rest of the work in 6 days working 9 hours a
day?
Your answer : No option was selected
Correct answer : 102
Solution
From the above formula i.e (m1*t1/w1) = (m2*t2/w2)
so, (34*8*9/(2/5)) = (x*6*9/(3/5))
so, x = 136 men
number of men to be added to finish the work = 136-34 = 102 men
10) What number must be added to 6, 16 and 8 to get an average of 13?
Your answer : No option was selected
Correct answer : 22
11) The ratio between the speeds of two trains is 7: 8. If the second train runs 440 kms
in 4 hours, then the speed of the first train is:
Your answer : No option was selected
Correct answer : 96.25 km/hr
Solution
Let the speed of two trains be 7x and 8x km/hr.
Then, 8x = (440/4) = 110
x = (110/8) = 13.75
Hence, speed of first train = (7 x 13.75) km/hr = 96.25 km/hr.
12) 4, 9, 13, 22, 35, ?
Your answer : No option was selected
Correct answer : 57
Solution
Sum of two consecutive numbers of the series gives the next number.
13) A man sitting in a train which is traveling at 50 kmph observes that a goods train,
traveling in opposite direction, takes 9 seconds to pass him. If the goods train is 280 m
long, find its speed?
Your answer : No option was selected
Correct answer : 62 kmph
Solution
Relative speed = 280/9 m / sec = ((280/9)*(18/5)) kmph = 112 kmph.
Speed of goods train = (112 - 50) kmph = 62 kmph.
14) If 9 men working 6 hours a day can do a work in 88 days. Then 6 men working 8
hours a day can do it in how many days?
Your answer : No option was selected
Correct answer : 99 days
Solution
From the above formula i.e (m1*t1/w1) = (m2*t2/w2)
so (9*6*88/1) = (6*8*d/1)
on solving, d = 99 days.
15) What is the ratio of 12 minute to 1 hour ?
Your answer : No option was selected
Correct answer : 1/5
Your answer : 4 1/3 km/h
Solution
Average speed = Total distance/Total time
= 5*6 + 4*12 / 18
=4 1/3 km/h
2) 2, 7, 14, 23, ?, 47
Your answer : 28
Correct answer : 34
Solution
The given sequence is +5, +7, +9, ——
ie. 2+ 5 = 7, 7 + 7 = 14, 14 + 9 = 23
Missing Number = 23 + 11 = 34.
3) A train 150 m long is running at a speed of 68 kmph. How long does it take to pass
a man who is running at 8 kmph in the same direction as the train?
Your answer : 9 Sec
Solution
Speed of the train relative to man = (68 - 8) kmph
= (60* 5/18) m/sec = (50/3)m/sec
Time taken by the train to cross the man
= Time taken by It to cover 150 m at 50/3 m / sec = 150 *3/ 50 sec = 9sec
4) If 5 women or 8 girls can do a work in 84 days. In how many days can 10 women
and 5 girls can do the same work?
Your answer : 52 Days
Correct answer : 32 Days
Solution
Given that 5 women is equal to 8 girls to complete a work.
So, 10 women = 16 girls.
Therefore 10 women + 5 girls = 16 girls + 5 girls = 21 girls.
8 girls can do a work in 84 days then 21 girls can do a work in (8*84/21) = 32 days.
Therefore 10 women and 5 girls can a work in 32 days
5) If 30% of a number is 12.6, find the number?
Your answer : 40
Correct answer : 42
Solution
6) A man can cover a distance in 1hr 24min by covering 2/3 of the distance at 4 km/h
and the rest at 5km/h. The total distance is
Your answer : No option was selected
Correct answer : 6 Km
Solution
Distance = 2/3S
Distance=1-2/3S=1/3S
21/15 hr=2/3 S/4 + 1/3s /5
84=14/3S * 3
S= 6km
7) 4, 6, 12, 14, 28, 30, ?
Your answer : No option was selected
Correct answer : 60
Solution
The given sequence is a combination of two series 4, 12, 28, .... and 6,
14, 30, .... The pattern is +8, +16, +32. So, the missing number = (28 + 32) = 60
8) A train is moving at a speed of 132 km/hr. If the length of the train is 110 metres,
how long will it take to cross a railway platform 165 metres long?
Your answer : No option was selected
Correct answer : 7½ sec
Solution
Speed of train = 132 *(5/18) m/sec = 110/3 m/sec.
Distance covered in passing the platform = (110 + 165) m = 275 m.
Time taken =275 *(3/110) sec =15/2 sec = 7 ½ sec
9) If 34 men completed 2/5th of a work in 8 days working 9 hours a day. How many
more man should be engaged to finish the rest of the work in 6 days working 9 hours a
day?
Your answer : No option was selected
Correct answer : 102
Solution
From the above formula i.e (m1*t1/w1) = (m2*t2/w2)
so, (34*8*9/(2/5)) = (x*6*9/(3/5))
so, x = 136 men
number of men to be added to finish the work = 136-34 = 102 men
10) What number must be added to 6, 16 and 8 to get an average of 13?
Your answer : No option was selected
Correct answer : 22
11) The ratio between the speeds of two trains is 7: 8. If the second train runs 440 kms
in 4 hours, then the speed of the first train is:
Your answer : No option was selected
Correct answer : 96.25 km/hr
Solution
Let the speed of two trains be 7x and 8x km/hr.
Then, 8x = (440/4) = 110
x = (110/8) = 13.75
Hence, speed of first train = (7 x 13.75) km/hr = 96.25 km/hr.
12) 4, 9, 13, 22, 35, ?
Your answer : No option was selected
Correct answer : 57
Solution
Sum of two consecutive numbers of the series gives the next number.
13) A man sitting in a train which is traveling at 50 kmph observes that a goods train,
traveling in opposite direction, takes 9 seconds to pass him. If the goods train is 280 m
long, find its speed?
Your answer : No option was selected
Correct answer : 62 kmph
Solution
Relative speed = 280/9 m / sec = ((280/9)*(18/5)) kmph = 112 kmph.
Speed of goods train = (112 - 50) kmph = 62 kmph.
14) If 9 men working 6 hours a day can do a work in 88 days. Then 6 men working 8
hours a day can do it in how many days?
Your answer : No option was selected
Correct answer : 99 days
Solution
From the above formula i.e (m1*t1/w1) = (m2*t2/w2)
so (9*6*88/1) = (6*8*d/1)
on solving, d = 99 days.
15) What is the ratio of 12 minute to 1 hour ?
Your answer : No option was selected
Correct answer : 1/5
No comments:
Post a Comment