5 Minutes Test
Time:
Result
Total Questions:
Correct:
Wrong:
Percentage:
Test Report
Question No 2
A's age is 3/4 of that of B's. Two years ago A's age was 1/2 of what B will be in 4 years. How old is A now?
Select the correct answer
Solution!
Given that
A = (3/4)B ...(1)
and
A-2 = (1/2)(B+4)
2A-4 = B+4
2A-B = 8
Put value of B from equation(1)
2A-(4/3)A = 8
6A-4A = 24
2A = 24
A = 12
Hence A is 12 years old now..
Given that
A = (3/4)B ...(1)
and
A-2 = (1/2)(B+4)
2A-4 = B+4
2A-B = 8
Put value of B from equation(1)
2A-(4/3)A = 8
6A-4A = 24
2A = 24
A = 12
Hence A is 12 years old now..
Question No 3
At 3:40, the hour hand and the minute hand of a clock form an angle of ...
Select the correct answer
Solution!
Angle traced by hour hand in 12 hrs = 360 degree
Angle traced by it in 11/3 hrs = (360/12 * 11/3) = 110 degree
Angle traced by minute hand in 60 min. = 360 degree
Angle traced by it in 40 min = (360/60 * 40) = 240 degree
So, Required angle (240 - 110) = 130 degree.
Angle traced by hour hand in 12 hrs = 360 degree
Angle traced by it in 11/3 hrs = (360/12 * 11/3) = 110 degree
Angle traced by minute hand in 60 min. = 360 degree
Angle traced by it in 40 min = (360/60 * 40) = 240 degree
So, Required angle (240 - 110) = 130 degree.
Question No 4
A man can row 1 km upstream in 20 minutes, and downstream in 15 minutes. What is the speed of the current?
Select the correct answer
Solution!
20 minutes = 20/60 = 1/3 hours
Upstream distance covered in 1/3 hours = 1 Km
Upstream distance covered in 1 hour = 1/(1/3) = 3 Km
Upstream speed = y = 3 Km/h
Now
15 minutes = 15/60 = 1/4 hours
Downstream distance covered in 1/4 hours = 1 Km
Downstream distance covered in 1 hour = 1/(1/4) = 4 Km
Downstream speed = 4 Km/h
speed of water = (1/2)*(4-3) = 1/2 = 0.5 Km/h.
20 minutes = 20/60 = 1/3 hours
Upstream distance covered in 1/3 hours = 1 Km
Upstream distance covered in 1 hour = 1/(1/3) = 3 Km
Upstream speed = y = 3 Km/h
Now
15 minutes = 15/60 = 1/4 hours
Downstream distance covered in 1/4 hours = 1 Km
Downstream distance covered in 1 hour = 1/(1/4) = 4 Km
Downstream speed = 4 Km/h
speed of water = (1/2)*(4-3) = 1/2 = 0.5 Km/h.
Question No 6
The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is
Select the correct answer
Solution!
Speed = 45 * (5/18)
= 25/2 m/s
Time = 30 sec
Let the length of bridge be x metres
Then,
(130 + x)/30 = 25/2
2(130 + x) = 750
Hence, x = 245 m.
Speed = 45 * (5/18)
= 25/2 m/s
Time = 30 sec
Let the length of bridge be x metres
Then,
(130 + x)/30 = 25/2
2(130 + x) = 750
Hence, x = 245 m.
Question No 9
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 10
Choose the word that is a necessary part of the word "election"
Select the correct answer
Solution!
An election does not exist without voters. The election of a president (choice a) is a byproduct. Not all elections are held in November (choice c), nor are they nationwide (choice d)..
An election does not exist without voters. The election of a president (choice a) is a byproduct. Not all elections are held in November (choice c), nor are they nationwide (choice d)..
Question No 11
9 excavators working 10 hours a day remove 2500 cubic feet of earth in 3 days. How many excavators working 6 hours a day are required to remove 5000 cubic feet of earth in 2 days?
Select the correct answer
Solution!
Let x excavators are required.
As excavators are inversely proportional to hours and days and directly proportional to work progress so
x/9 = (10/6)*(5000/2500)*(3/2)
x = 45
Hence 45 excavators are required to remove 5000 cubic feet of earth..
Let x excavators are required.
As excavators are inversely proportional to hours and days and directly proportional to work progress so
x/9 = (10/6)*(5000/2500)*(3/2)
x = 45
Hence 45 excavators are required to remove 5000 cubic feet of earth..
Question No 12
The ages of C and D are in 6/11 and E is 6 years younger than D. If the sum of ages is 134, then what is the age of D?
Select the correct answer
Solution!
Given that
C/D = 6/11
C = (6/11)D ...(1)
and
C+D+E = 134
As E is 6 years younger from D so we can put D-6 instead of D
C+D+D-6 = 134
C+2D = 140
Put value of C from equation(1)
(6/11)D+2D = 140
6D+22D = 140
28D = 1540
D = 55
Hence D is 55 years old..
Given that
C/D = 6/11
C = (6/11)D ...(1)
and
C+D+E = 134
As E is 6 years younger from D so we can put D-6 instead of D
C+D+D-6 = 134
C+2D = 140
Put value of C from equation(1)
(6/11)D+2D = 140
6D+22D = 140
28D = 1540
D = 55
Hence D is 55 years old..
Question No 15
Pointing to a woman, Abhijit said, "Her granddaughter is the only daughter of my brother." How is the woman related to Abhijit?
Select the correct answer
Solution!
Daughter of Abhijit's brother = niece of Abhijit.
Thus the granddaughter of the woman is Abhijit's niece.
Hence, the woman is the mother of Abhijit..
Daughter of Abhijit's brother = niece of Abhijit.
Thus the granddaughter of the woman is Abhijit's niece.
Hence, the woman is the mother of Abhijit..