Maths Mcqs Practice Test

Question 1

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?

Accepted Answer

D. 28 hours

Question 2

Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 18 minutes. The waste pipe can empty the full cistern in?

Accepted Answer

D. 9 min

Question 3

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?

Accepted Answer

A. 480 liters

Question 4

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?

Accepted Answer

B. 11 1/4 min

Question 5

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?

Accepted Answer

B. 10 min

Question 6

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?

Accepted Answer

C. 17 1/7 min

Question 7

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

Accepted Answer

B. 3, -2/3

Question 8

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

Accepted Answer

D. -7, 6

Question 9

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

Accepted Answer

A. -2, -1/2

Question 10

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

Accepted Answer

D. If a ≤ b.

Question 11

I. a3– 988 = 343,II. b2– 72 = 49 to solve both the equations to find the values of a and b?

Accepted Answer

B. If a ≥ b

Question 12

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

Accepted Answer

A. If a > b

Question 13

I. x2+ 11x + 30 = 0,II. y2+ 15y + 56 = 0 to solve both the equations to find the values of x and y?

Accepted Answer

B. If x > y

Question 14

I. x2+ 3x – 18 = 0,II. y2+ y – 30 = 0 to solve both the equations to find the values of x and y?

Accepted Answer

E. If x = y or the relationship between x and y cannot be established.

Question 15

I. x2+ 9x + 20 = 0,II. y2+ 5y + 6 = 0 to solve both the equations to find the values of x and y?

Accepted Answer

A. If x < y

Question 16

I. x2– x – 42 = 0,II. y2– 17y + 72 = 0 to solve both the equations to find the values of x and y?

Accepted Answer

A. If x < y

Question 17

I. x2+ 5x + 6 = 0,II. y2+ 9y +14 = 0 to solve both the equations to find the values of x and y?

Accepted Answer

D. If x = y or the relationship between x and y cannot be established.

Question 18

I. a2+ 8a + 16 = 0,II. b2– 4b + 3 = 0 to solve both the equations to find the values of a and b?

Accepted Answer

A. If a < b

Question 19

(i).  a2+ 11a + 30 = 0,(ii).  b2+ 6b + 5 = 0 to solve both the equations to find the values of a and b?

Accepted Answer

B. If a ≤ b

Question 20

(i). a2– 9a + 20 = 0,(ii). 2b2– 5b – 12 = 0 to solve both the equations to find the values of a and b?

Accepted Answer

D. If a ≥ b