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Basic Arithmetic

A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 4 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?

March 28, 2020 – by Arif Khan 0

A. 480 liters
B. 600 liters
C. 720 liters
D. 800 liters

Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?

March 28, 2020 – by Arif Khan 0

A. 19 1/7 min
B. 15 1/7 min
C. 17 1/7 min
D. 7 1/7 min

Two pipes A and B can separately fill a tank in 2 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank?

March 28, 2020 – by Arif Khan 0

A. 9 min
B. 10 min
C. 11 min
D. 12 min

Two pipes P and Q can fill a cistern in 12 and 15 minutes respectively. Both are opened together, but at the end of 3 minutes the first is turned off. How much longer will the cistern take to fill?

March 28, 2020 – by Arif Khan 0

A. 9 1/4 min
B. 11 1/4 min
C. 7 1/4 min
D. 8 1/2 min

A cistern is filled by a tap in 3 1/2 hours. Due to leak in the bottom of the cistern, it takes half an hour longer to fill the cistern. If the cistern is full how long will it take the leak to empty it?

March 28, 2020 – by Arif Khan 0

A. 7 hours
B. 8 hours
C. 14 hours
D. 28 hours

Find the roots of quadratic equation: 2x2 + 5x + 2 = 0?

March 28, 2020 – by Arif Khan 0

A. -2, -1/2
B. 4, -1
C. 4, 1
D. -2, 5/2

I. a2 – 13a + 42 = 0,
II. b2 – 15b + 56 = 0 to solve both the equations to find the values of a and b?

March 28, 2020 – by Arif Khan 0

A. If a > b
B. If a ≥ b
C. If a < b
D. If a ≤ b.

Find the roots of quadratic equation: 3x2 – 7x – 6 = 0?

March 28, 2020 – by Arif Khan 0

A. -6, 3
B. 3, -2/3
C. -5, 2
D. -9, 2

Find the roots of quadratic equation: x2 + x – 42 = 0?

March 28, 2020 – by Arif Khan 0

A. -6, 7
B. -8, 7
C. 14, -3
D. -7, 6

I. 9a2 + 18a + 5 = 0,
II. 2b2 + 13b + 20 = 0 to solve both the equations to find the values of a and b?

March 28, 2020 – by Arif Khan 0

A. If a > b
B. If a ≥ b
C. If a < b
D. If a ≤ b

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