## Topic wise Quantitative Aptitude Quiz with Solution for all Exam

### Quantitative Aptitude Quiz Topic: Pipe and Cisterns

**1 >>Q1.Pipe 'A' can fill A tank in 20 minutes. Pipe'A' and 'B' both are opened and after 6 minutes pipe 'A' is closed and pipe 'B' takes 15 minutes to fill the tank. In how many minutes, can pipe 'B' fill the tank? ?**

- (A) 33
- (B) 30
- (C) 28
- (D) 35

**2 >>Q2. Pipe 'A' can fill 12 litres per minute and pipe 'B' can fill 6 litres per minute. Pipe 'C' can empty a drum in 10 minutes. When all the three pipes are opened, the drum is filled in 15 minutes. What is the capacity of drum? ?**

- (A) 114 litres
- (B) 110 litres
- (C) 108 litres
- (D) 105 litres

**3 >>Q3. Pipe 'A' can fill a tank in 40 minutes and pipe 'B' can empty the tank 50 minutes. If both the pipes are opened together, then in what time is the tank filled? ?**

- (A) 120 min
- (B) 150 min
- (C) 200 min
- (D) 170 min

**4 >>Q4. Pipe 'A' can fill an empty tank in 3 hours less than the time in which pipe 'B', can empty a full tank. If both the pipes are opened together, the tank is filled in 60 hours. In how many hours can pipe 'A' fill the tank? ?**

- (A) 24 hours
- (B) 15 hours
- (C) 18 hours
- (D) 12 hours

**5 >>Q5. Pipe 'A' can fill a tank in 18 minutes. Pipe 'A' and 'B' can together fill the tank in 12 minutes. What is the capacity (in litres) of the tank, given that pipe 'B' can fill 15 litres per minute? ?**

- (A) 540 litres
- (B) 480 litres
- (C) 270 litres
- (D) 350 litres

**6 >>Q6. Two pipes can fill a tank in 15 minutes and 25 minutes respectively. Both pipes are opened together and after some time the first pipe is closed and the tank is full in totally 15 minutes. For how many minutes was first pipe open? ?**

- (A) 7
- (B) 8
- (C) 6
- (D) 9

**7 >>Q7. Pipe 'A' can fill a tank in 8 hours and pipe 'B' can empty the full tank in 15 hours. If the both pipes are opened together, in how much time will the tank become full? ?**

- (A) 15
- (B) 14
- (C) 17
- (D) 16

**8 >>Q8. Two pipes 'A' and 'B' can fill a tank in 24 minutes and 32 minutes respectively. Both the pipes are opened together, but after 4 minutes the second pipe is turned off. In how much time will the tank be completely filled by the first pipe? ?**

- (A) 18 minutes
- (B) 16 minutes
- (C) 17 minutes
- (D) 15 minutes

**9 >>Q9. Pipe 'A' can fill a cistern in 30 minutes and pipe 'B' in 40 minutes and pipe 'C' can empty the full cistern in 60 minutes. If all the pipes are opened together, then in how many minutes will it be full ? ?**

- (A) 25
- (B) 26
- (C) 24
- (D) 27

**10 >>Q12. If two pipes P and Q together can fill a tank in 6 hours and the pipe P only can fill the tank in 8 hours, how many hours will Q alone take to fill the tank? ?**

- (A) 24 hours
- (B) 21 hours
- (C) 18 hours
- (D) 10 hours

**11 >>Q14. Two pipes can fill a cistem in 8 hours and 10 hours respectively. A third pipe can empty the cistern in 5 hours. If all the three pipes are opened at the same time, how long will it take to fill the cistern? ?**

- (A) 15 hours
- (B) 16 hours
- (C) 12 hours
- (D) 11 hours

**12 >>Q15. Two taps can fill a cistern in 2 and 4 hours respectively. How much time after opening the both taps, second tap should be turned off so that the cistern be filled in 1 hour? ?**

- (A) 1/3 hours
- (B) 1 hour
- (C) 2/3 hours
- (D) 2 hours

**13 >>Q16. Two taps can fill a cistern in 6 minutes and 7 minutes respectively. If these taps are opened alternately for a minute, in what time will the cistern be filled? ?**

- (A) 7 3/7 min.
- (B) 2 3/7 min.
- (C) 3 3/7 min.
- (D) 6 3/7 min.

**14 >>Q17. A cistern can be filled by one of two pipes in 30 min. and by the other in 36 min. Both pipes are opened together for a certain time but being particularly clogged only 5/6 of the full quantity of water flows through the former and only 9/10 through the later. The obstructions, howevers, being suddenly removed the cistern is filled in 15 1/2 min. from that moment. How long was it before the full flow of water began? ?**

- (A) 1/7 min.
- (B) 1/3 min.
- (C) 1/2 min.
- (D) 1 min.

**15 >>Q18. P, Q, R are pipes attached to a cistern, P and Q can fill it in 20 and 30 min. respectively. While R can empty it in 15 min. If P, Q and R be kept open successively for 1 min. each, how soon will the cistern be filled? ?**

- (A) 157 min.
- (B) 167 min.
- (C) 165 min.
- (D) 164 min.

### Quantitative Aptitude Quiz Topic: Mensuration

**1 >>Q1. If the sides of a triangle are integers and the perimeter is 9 cm, then how many different triangles are possible? ?**

- (A) 2
- (B) 3
- (C) 4
- (D) 5

**2 >>Q2. AB is diameter of a circle and C is a point such that AC and BC are two chords of the circle. If AC = 7 cm and the radius of the circle is 12.5 cm, then find B ?**

- (A) 21 cm
- (B) 19 cm
- (C) 14 cm
- (D) 24 cm

**3 >>Q3. What is the number of sides of a regular polygon of which the interior angle between two adjacent sides is 140 degree ? ?**

- (A) Decagon
- (B) Heptagon
- (C) Nanogon
- (D) Cannot be determined

**4 >>Q4. Which of the following can form a triangle? ?**

- (A) 5, 5, 11
- (B) 12, 12, 13
- (C) 3, 6, 9
- (D) 4, 4, 8

**5 >>Q5. The difference between the external angle and the internal angle of a regular polygon is 108° then what is the external angle? ?**

- (A) 108°
- (B) 72°
- (C) 36°
- (D) 144°

**6 >>Q6. In a right angled triangle ABC right angled at B, AB = 24 cm and AC = 40 cm, if D is the mid-point BC, then find the length of AD- ?**

- (A) 8 √19 cm
- (B) 8 √17 cm
- (C) 8 √15 cm
- (D) 8 √13 cm

**7 >>Q7. The lateral surface area of a cube is changed by 44% find the percentage change in the volume of the cube- ?**

- (A) 0.66
- (B) 0.728
- (C) 0.44
- (D) Cannot be determined

**8 >>Q8. Find the length of the chord of a circle of radius 5 cm which is 3 cm away from the centre- ?**

- (A) 4 cm
- (B) 10cm
- (C) 8 cm
- (D) 6 cm

**9 >>Q9. 27 identical spheres are fitted into a cube such that no more such spheres can be placed, what part of the cube is occupied by the spheres? ?**

- (A) 2π/3
- (B) π/2
- (C) 3π/4
- (D) π/6

**10 >>Q10. A square of side 2 cm is cut from each of the four corners of a rectangular sheet of dimensions 16 cm x 8 cm. The sheet is then folded to form an open box. What is the volume of the box? ?**

- (A) 96 cu. cm
- (B) 192 cu.cm
- (C) 24 cu. cm
- (D) 48 cu. cm

**11 >>Q11. Two adjacent sides of a parallelogram whose internal angle is 150° are 10 cm and 12 cm. What is the area of the triangle? ?**

- (A) 90 sq. cm
- (B) 45 sq. cm
- (C) 30 sq. cm
- (D) 60 sq. cm

**12 >>Q12. Find the maximum quantity of water that can be present in a cylindrical pipe of diameter 10 cm and length 35 cm- ?**

- (A) 5500 ml
- (B) 2750 ml
- (C) 1375 ml
- (D) 6875 ml

**13 >>Q13. In a triangle ABC, LABC = LBAC + LBCA and AB = 15 cm, BC =8 cm, find AC =? ?**

- (A) 23 cm
- (B) 19 cm
- (C) 17 cm
- (D) Cannot be determined

**14 >>Q14. What is the difference between the maximum and the minimum number of pieces into which a square paper can be cut using five straight lines? ?**

- (A) 12
- (B) 10
- (C) 8
- (D) 6

**15 >>Q15. What is the height of a cuboid whose length is 12 cm and breadth is 11 cm and whose volume is equal to the volume of a cylinder whose height is 7 cm and base radius is 6 cm? ?**

- (A) 12 cm
- (B) 4 cm
- (C) 6 cm
- (D) 8 cm

**16 >>Q16. There is a rectangular room of length 18 ft and breadth 12 ft in a lawn. A goat is tethered with a rope of length 20 ft at one of the corners of the room such that it can eat the grass outside the room. What area of the lawn can the goat eat? ?**

- (A) 234π sq.ft
- (B) 468π sq.ft
- (C) 283π sq.ft
- (D) 317π sq.ft

**17 >>Q17. An ant is there in a cube of 6 ft exactly at the mid-point of one of the edges and it has to go to the bottom corner of the diagonally opposite edge. What is the minimum distance it has to travel to go there from the present position? ?**

- (A) 6√3 feet
- (B) 9 feet
- (C) 6√5 feet
- (D) 3√17 feet

**18 >>Q18. The length of the tangent to a circle from a point, 25 cm away from the centre of the circle, is 24 cm. What is the length of the diameter of the circle? ?**

- (A) 28 cm
- (B) 21 cm
- (C) 14 cm
- (D) 7 cm

**19 >>Q19. What is the measure of the longest stick that can be placed in a box of dimensions 12 cm x 9 cm x 8 cm? ?**

- (A) 29 cm
- (B) 18 cm
- (C) 12 cm
- (D) 17 cm

**20 >>Q20. What is area of a circle whose perimeter is equal to the perimeter of the square of area 121 sq. cm? ?**

- (A) 77 sq. cm
- (B) 220 sq. cm
- (C) 110 sq. cm
- (D) 154 sq. cm

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