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# Maths Questions for DSSSB & KVS/NVS Exams

Q1. A cistern has two pipes. One can fill it with water in 8 h and other can empty it in 5 h. In how many hours will the cistern be emptied if both the pipes are opened together & when 3/4 part of the cistern is already full of water?
(a) 13 1/3 h
(b) 10 h
(c) 6 h
(d) 3 1/3 h

Q2. 3/4 part of the tank is full of water. When 30 L of water is taken out, the tank becomes empty. The capacity of the tank is
(a) 36 L
(b) 42 L
(c) 40 L
(d) 38 L

Q3. One pipe fills a water tank three times faster than the another pipe. If the two pipes together can fill the empty tank in 36 min, then how much time will the slower pipe alone take to fill the tank?
(a) 1 h 21 min
(b) 1 h 48 min
(c) 2 h
(d) 2 h 24 min

Q4. Two pipes A and B can fill a cistern in 37 1/2 min and 45 min, respectively. If both pipes are opened then the cistern will be filled just in half an hour, if the pipe B is turned off after.
(a) 15 min
(b) 10 min
(c) 5 min
(d) 9 min

Q5. A tap can empty a tank in 1 h. A second tap can empty it in 30 min. If both the taps operate simultaneously, how much time is needed to empty the tank?
(a) 20 min
(b) 30 min
(c) 40 min
(d) 45 min

Q6. Let C1 and C2 be the inscribed and circumscribed circles of a triangle with sides 3 cm, 4 cm and 5 cm then (area of C1)/(area of C2 ) is
(a) 9/25
(b) 16/25
(c) 9/16
(d) 4/25

Q7. A circular swimming pool is surrounded by a concrete wall 4m wide. If the area of the concrete wall surrounding the pool is 11/25 that of the pool, then the radius (in m) of the pool:
(a) 8
(b) 16
(c) 30
(d) 20

Q8. If the area of a circle is A, radius of the circle is r and circumference of it is C, then
(a) rC = 2A
(b) C/A=r/2
(c) AC=r^2/4
(d) A/r=C

Q9. The sides of a triangle having area 7776 sq. cm are in the ratio 3 : 4 : 5. The perimeter of the triangle is:
(a) 400 cm
(b) 412 cm
(c) 424 cm
(d) 432 cm

Q10. The perimeter of a sheet of paper in the shape of a quadrant of a circle is 75 cm. Its area would be (π=22/7)
(a) 512.25 cm2
(b) 346.5 cm2
(c) 100 cm2
(d) 693 cm2

Solutions

S2. Ans.(c)

Sol. (3x/4)=30
x = 40 L

S8. Ans.(a)
Sol. Area of circle = A