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Q1:

3 June Shift 2

Arithmetic > Time & Work

Medium

Applied

Pipe A and B can fill a tank in 20 hours and 25 hours respectively, and pipe C can empty the full tank in 40 hours.If all the pipes are opened together, then how much time will be needed to make the tank full?

Answer options
Correct Answer
Option 3
Correct Answer
Explanation →

Q2:

3 June Shift 1

Arithmetic > Time & Work

Medium

Applied

Two pipes A and B can fill a tank in 20 minutes and 30 minutes respectively. Both pipes A and B are opened together for some time and then pipe B is turned off. If the tank is filled in 15 minutes, then time for which the pipe B works is:

Answer options
Correct Answer
Option 2
Correct Answer
Explanation →

Q3:

2 June Shift 1

Arithmetic > Time & Work

Medium

Applied

Three pipes A, B & C fill a tank in 3 hours working simultaneously. The pipe C is twice as faster as B and B is twice as fast as A. The time taken by pipe A alone to fill the tank is:

Answer options
Correct Answer
Option 4
Correct Answer
Explanation →

Q4:

30 May Shift 2

Arithmetic > Time & Work

Medium

Applied

Two pipes A and B can fill a tank respectively in 30 min and 45 min. Both A and B are opened together for some time and then pipe B is turned off. If the tank is filled in 20 min, then find after how many minutes the pipe B is turned off?

Answer options
Correct Answer
Option 3
Correct Answer
Explanation →

Q5:

30 May Shift 1

Arithmetic > Time & Work

Medium

Applied

Two pipes A and B can fill a tank in 5 hours and 6 hours respectively. Pipe C can empty it in 12 hours. If all three pipes are opened together, then the time taken to fill the tank is:

Answer options
Correct Answer
Option 4
Correct Answer
Explanation →

Q6:

29 May Shift 2

Arithmetic > Time & Work

Medium

Applied

Pipe A and B can fill a tank in 15 hours and 20 hours respectively. Pipe C can empty the tank in 25 hours. Pipes A, B and C works together but pipe C is closed after 10 hours , then time taken by pipe A and B to fill the remaining tank is:

Answer options
Correct Answer
Option 2
Correct Answer
Explanation →

Q7:

27 May Shift 1

Arithmetic > Time & Work

Medium

Applied

Two pipes can fill a tank in 6 minutes and 12 minutes respectively, and a third pipe can empty the tank at the rate of 18 liters per minute. If all the pipes working together can fill the empty tank in 5 minutes, the capacity of the tank is:

Answer options
Correct Answer
Option 3
Correct Answer
Explanation →

Q8:

26 May Shift 2

Arithmetic > Time & Work

Medium

Applied

Inlet Pipe A can fill a tank in 30 minutes, and outlet pipes B and C can empty the tank in 2 hours each. If all 3 pipes operate together, the tank will be filled in:

Answer options
Correct Answer
Option 1
Correct Answer
Explanation →

Q9:

22 May Shift 2

Arithmetic > Time & Work

Medium

Applied

Two pipes P and Q can fill a tank in 26 minutes and 52 minutes respectively. Both the pipes are opened together for some time and then pipe P is closed. If the tank is filled in 26 minutes, then after how many minutes pipe P is closed?

Answer options
Correct Answer
Option 3
Correct Answer
Explanation →

Q10:

22 May Shift 1

Arithmetic > Time & Work

Easy

Applied

Pipe A can fill a tank in 24 hours and pipe B in 32 hours. If both the pipes are opened in an empty tank at the same time, then the time taken to fill the tank is:

Answer options
Correct Answer
Option 3
Correct Answer
Explanation →

Q11:

21 May Shift 2

Arithmetic > Time & Work

Medium

Applied

Two pipes A and B can fill a tank in 20 minutes and 10 minutes respectively. Both pipes A and B are opened together for some time and then pipe B is turned off. If the tank is filled in 15 minutes, then find after how many minutes pipe B is turned off?

Answer options
Correct Answer
Option 2
Correct Answer
Explanation →

Q12:

21 May Shift 1

Arithmetic > Time & Work

Medium

Applied

A pipe A can fill a tank in 4 hours. There are two outlet pipes, B and C, from the tank which can empty it in 8 and 10 hours respectively. If all the three pipes are opened simultaneously, how long will it take to fill the tank?

Answer options
Correct Answer
Option 2
Correct Answer
Explanation →

Q13:

19 May Shift 1

Arithmetic > Time & Work

Medium

Applied

Pipe A can fill the tank 3 times faster than pipe B. If both pipes A and B running together can fill the tank in 15 minutes, then the time taken by B alone to fill the tank is:

Answer options
Correct Answer
Option 3
Correct Answer
Explanation →

Q14:

16 May Shift 1

Arithmetic > Time & Work

Medium

Applied

Pipe A can fill a tank three times faster than pipe B. If both pipes A and B are running together, they can fill the tank in 12 minutes, then the time taken by pipe B alone to fill the tank is:

Answer options
Correct Answer
Option 4
Correct Answer
Explanation →

Q15:

15 May Shift 2

Arithmetic > Time & Work

Medium

Applied

Two pipes A and B can fill a tank in 20 minutes and 30 minutes respectively. Both pipes A and B are opened together for some time and pipe B is turned off. If the tank is filled in 15 minutes, then after how many minutes pipe B is turned off?

Answer options
Correct Answer
Option 4
Correct Answer
Explanation →

Q16:

15 May Shift 1

Arithmetic > Time & Work

Medium

Applied

A tank has two outlet pipes, A and B, which together take 6 hours to empty a full tank when they are opened simultaneously. The tank was initially half-full and both the outlets were opened, after an hour an inlet pipe was also opened. If the inlet alone can fill the empty tank in 4 hours, how much time will it now take to fill the tank completely?

Answer options
Correct Answer
Option 2
Correct Answer
Explanation →

Q17:

14 May Shift 2

Arithmetic > Time & Work

Medium

Applied

Three pipes A, B and C can fill a tank in 12 hours, 15 hours and 20 hours respectively. If A is open all the time and B and C are open for one hour each alternately, in how many hours will the tank be full?

Answer options
Correct Answer
Option 4
Correct Answer
Explanation →

Q18:

13 May Shift 2

Arithmetic > Time & Work

Medium

Applied

Two pipes can fill a cistern in 8 and 12 hours respectively. The pipes are opened simultaneously, and it takes 12 minutes more to fill the cistern due to leakage. If the cistern is full, what will be the time taken by the leakage to empty it?

Answer options
Correct Answer
Option 4
Correct Answer
Explanation →

Q19:

13 May Shift 1

Arithmetic > Time & Work

Medium

Applied

Three pipes A, B and C are installed to fill a tank. Pipes A and B opened together can fill the tank in the same time in which C can alone fill the tank. If pipe B can fill the tank 15 minutes faster than pipe A and 5 minutes slower than pipe C then the time required by pipe A to fill the tank alone is

Answer options
Correct Answer
Option 2
Correct Answer
Explanation →

Q20:

16 May Shift 1

Arithmetic > Time & Work

Easy

Applied

Two pipes A and B together can fill a tank in $40$ minutes. Pipe A is twice as fast as pipe B. Pipe A alone can fill the tank in :

Answer options
Correct Answer
Option 1
Correct Answer
Explanation →

Q21:

15 June Shift 2

Arithmetic > Time & Work

Medium

Two pipes A and B can fill a cistern in 15 minutes and 30 minutes respectively. Both pipes are opened together, but after 5 minute pipe B is turned off. The cistern will be full in total :

Answer options
Correct Answer
Option 4
Correct Answer
Explanation →

CUET Mathematics Past Year Questions (Topic-Wise):

Applied Mathematics

  • Probability Distribution
  • Arithmetic
  • Calculus
  • Algebra
  • Time Based Data
  • Linear Programming
  • Inferential Statistics
  • Financial Mathematics

Algebra

  • Probability
  • Linear Programming
  • Relations & Functions
  • Vector Algebra
  • Matrices & Determinants
  • Inequalities

Calculus

  • Integrals
  • Differential Equations
  • Continuity & Differentiability
  • Application of Derivatives
  • Application of Integrals

Arithmetic

  • Time, Speed & Distance
  • Numericals
  • Time & Work
  • Mixture & Alligation

Statistics & Applications

  • Trends & Data
  • Inferential
  • Financial Math

Geometry

  • Trigonometry
  • 3D Geometry
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