10 Minutes Test
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Total Questions:
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Test Report
Question No 3
A train 100 meters long crosses a 150 meters long bridge in 25 seconds. What is the speed of the train?
Select the correct answer
Solution!
Length of the train = L1 = 100m
Length of the bridge = L2 = 150m
Time = t = 25s
v = (L1+L2)/t
By putting values
v = (100+150)/25
v = 250/25 = 10m/s = 10*(18/5) = 36 Km/h
Hence speed of the train is 36 Km/h..
Length of the train = L1 = 100m
Length of the bridge = L2 = 150m
Time = t = 25s
v = (L1+L2)/t
By putting values
v = (100+150)/25
v = 250/25 = 10m/s = 10*(18/5) = 36 Km/h
Hence speed of the train is 36 Km/h..
Question No 9
Two trains, each 100 m long, moving in opposite directions, cross each other in 8 seconds.If one is moving twice as fast the other, then the speed of the faster train is
Select the correct answer
Solution!
Let the speed of the slower train be x m/sec
Then,
speed of the faster train = 2x m/sec
Relative speed = (x + 2x) m/sec = 3x m/sec
So, (100+100)/8 = 3x
24x = 200
x = 25/3
So, speed of the faster train = 50/3 m/s
= (50/3 * 18/5)
= 60km/hr.
Let the speed of the slower train be x m/sec
Then,
speed of the faster train = 2x m/sec
Relative speed = (x + 2x) m/sec = 3x m/sec
So, (100+100)/8 = 3x
24x = 200
x = 25/3
So, speed of the faster train = 50/3 m/s
= (50/3 * 18/5)
= 60km/hr.
Question No 10
What is the angle between the hands of a clock at 8:50 am?
Select the correct answer
Solution!
At 8:50 hour hand is nearly at 8
Minute hand is at 10
Angle between 8 and 10 is 60 degree.
Hour hand move 1/2 degree in one minute.
In 50 Minutes hour hand will move 1/2 * 50 = 25 degree
Hence, Angle between hands is 60 - 25 = 35 degree.
At 8:50 hour hand is nearly at 8
Minute hand is at 10
Angle between 8 and 10 is 60 degree.
Hour hand move 1/2 degree in one minute.
In 50 Minutes hour hand will move 1/2 * 50 = 25 degree
Hence, Angle between hands is 60 - 25 = 35 degree.
Question No 11
3 years ago, the average age of C and D was 18 years. With E joining them, the average becomes 22 years. How old is E now?
Select the correct answer
Solution!
Given that
[(C-3)+(D-3)]/2 = 18
C-3+D-3 = 36
C+D = 42 ...(1)
and also given that
(C+D+E)/3 = 22
C+D+E = 66
Put value of C+D from equation(1)
42+E = 66
E = 66-42
E = 24
Hence E is 24 years old now..
Given that
[(C-3)+(D-3)]/2 = 18
C-3+D-3 = 36
C+D = 42 ...(1)
and also given that
(C+D+E)/3 = 22
C+D+E = 66
Put value of C+D from equation(1)
42+E = 66
E = 66-42
E = 24
Hence E is 24 years old now..
Question No 13
A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. The length of the train is
Select the correct answer
Solution!
2 kmph = 2 * (5/18)m/s
= 5/9 m/s
4 kmph = 4 * (5/18)m/s
= 10/9 m/s
Let the length of the train be x metres and its speed by y m/sec.
then, x/[y - (5/9)] = 9
and x/[y - (10/9)] = 10
So, 9y - 5 = x
and 10(9y - 10) = 9x
9y - x = 5
and 90y - 9x = 100
On solving, we get
x = 50
Hence, Length of the train is 50 m..
2 kmph = 2 * (5/18)m/s
= 5/9 m/s
4 kmph = 4 * (5/18)m/s
= 10/9 m/s
Let the length of the train be x metres and its speed by y m/sec.
then, x/[y - (5/9)] = 9
and x/[y - (10/9)] = 10
So, 9y - 5 = x
and 10(9y - 10) = 9x
9y - x = 5
and 90y - 9x = 100
On solving, we get
x = 50
Hence, Length of the train is 50 m..
Question No 14
January 1, 2008 is Tuesday.What day of the week lies on Jan 1, 2009?
Select the correct answer
Solution!
The year 2008 is a leap year. So, it has 2 odd days.
1st day of the year 2008 is Tuesday (Given)
So, 1st day of the year 2009 is 2 days beyond Tuesday.
Hence, it will be Thursday..
The year 2008 is a leap year. So, it has 2 odd days.
1st day of the year 2008 is Tuesday (Given)
So, 1st day of the year 2009 is 2 days beyond Tuesday.
Hence, it will be Thursday..
Question No 19
Pointing to a photograph Anjali said, "He is the son of the only son of my grandfather." How is the man in the photograph related to Anjali?
Select the correct answer
Solution!
The man in the photograph is son of Anjali's grandfather's son i.e., the son of Anjali's father.
Hence, the boy is the brother of Anjali..
The man in the photograph is son of Anjali's grandfather's son i.e., the son of Anjali's father.
Hence, the boy is the brother of Anjali..
Question No 20
A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg.His profit percent is
Select the correct answer
Solution!
C.P. of 56 kg rice = (26 x 20 + 30 x 36) = (520 + 1080) = Rs. 1600
S.P. of 56 kg rice = Rs. (56 x 30) = Rs. 1680
Hence, Gain = (80/1600)*100 = 5%.
C.P. of 56 kg rice = (26 x 20 + 30 x 36) = (520 + 1080) = Rs. 1600
S.P. of 56 kg rice = Rs. (56 x 30) = Rs. 1680
Hence, Gain = (80/1600)*100 = 5%.
Question No 21
What is the angle between the hands of a clock at 7:05 am?
Select the correct answer
Solution!
At 7:05 hour hand is nearly at 7
Minute hand is at 1
Angle between 7 and 1 is 180 degree.
Hour hand move 1/2 degree in one minute.
In 5 Minutes hour hand will move 1/2 * 5 = 2.5 degree
Hence, Angle between hands is 180 - 2.5 = 177.5 degree.
At 7:05 hour hand is nearly at 7
Minute hand is at 1
Angle between 7 and 1 is 180 degree.
Hour hand move 1/2 degree in one minute.
In 5 Minutes hour hand will move 1/2 * 5 = 2.5 degree
Hence, Angle between hands is 180 - 2.5 = 177.5 degree.
Question No 29
A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present?
Select the correct answer
Solution!
Let the mother's present age be x years.
Then,
the person's present age = (2/5)x years.
(2/5)x + 8 = (1/2)(x + 8)
2(2x + 40) = 5(x + 8)
x = 40
.
Let the mother's present age be x years.
Then,
the person's present age = (2/5)x years.
(2/5)x + 8 = (1/2)(x + 8)
2(2x + 40) = 5(x + 8)
x = 40
.
Question No 30
C's mother was four times as old as C ten years ago. After 10 years she will be twice as old as C is now. How old C is now?
Select the correct answer
Solution!
Let C's present age is x and his mother's age is y.
Given that
y = 4(x-10)
y = 4x-40
4x-y = 40 ...(1)
and
y+10 = 2x
2x-y = 10 ...(2).
By simultaneously solving equation(1) and equation(2) we find
x = 15
Hence C is 15 years old..
Let C's present age is x and his mother's age is y.
Given that
y = 4(x-10)
y = 4x-40
4x-y = 40 ...(1)
and
y+10 = 2x
2x-y = 10 ...(2).
By simultaneously solving equation(1) and equation(2) we find
x = 15
Hence C is 15 years old..