Phrases Time and Work Previous Year Question Paper and Solution with PDF

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Phrases Time And Work PYQ

Qus : 1Phrases PYQ 2020

Two pipes A and B can fill the cistern in 37.5 minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if the B is turned off after

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Phrases Previous Year PYQPhrases NIMCET 2020 PYQ

Solution

Qus : 2Phrases PYQ 2023

A can do a work in 10 days, B can do the same work in 20 days. After working for 4 days B left the job & C started working at the place of B, the remaining work was done by both A & C in 2 days. In how many days C alone can do the work?

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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Work and Time – Find Days for C

A's 1 day work: $\frac{1}{10}$
B's 1 day work: $\frac{1}{20}$

Step 1: A and B work for 4 days:
Work done = $4 \times \left( \frac{1}{10} + \frac{1}{20} \right) = 4 \times \frac{3}{20} = \frac{3}{5}$

Remaining work: $1 - \frac{3}{5} = \frac{2}{5}$

Step 2: A and C do remaining work in 2 days:
$2 \times \left( \frac{1}{10} + \frac{1}{C} \right) = \frac{2}{5}$

Dividing both sides by 2:
$\frac{1}{10} + \frac{1}{C} = \frac{1}{5}$

$\frac{1}{C} = \frac{1}{5} - \frac{1}{10} = \frac{1}{10}$
$\Rightarrow C = 10$

✅ Final Answer: 10 days

Qus : 3Phrases PYQ 2019

Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the given question. Read both statements and

Give the answer (U) if the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
Give the answer (V) if the data in statement I| alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
Give the answer (W) if the data either in Statement I or in Statement II alone are sufficient to the answer of the question.
Give the answer (X) if the data in both statements I and II together are not sufficient to answer the question.
Give the answer (Y) if the data in both statements I and II together are are necessary to answer the question.

How much time will the leak take to empty the full cistern?

The cistern is normally filled in 9 hours.
It takes one hour more than the usual time to fill the cistern because of a leak in the bottom.

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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 4Phrases PYQ 2019

Give the answer (U) if the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
Give the answer (V) if the data in statement I| alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
Give the answer (W) if the data either in Statement I or in Statement II alone are sufficient to the answer of the question.
Give the answer (X) if the data in both statements I and II together are not sufficient to answer the question.
Give the answer (Y) if the data in both statements I and II together are are necessary to answer the question.

How will long it take to empty the tank if both the inlet pipe P1 and the outlet pipe P2 are opened simultaneously?

P1 can fill the tank in 16 minutes.
P2 can empty the full tank in 8 minutes.

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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

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Qus : 5Phrases PYQ 2022

Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Let the required number of bottles be x.

More machines, More bottles (Direct Proportion)

More minutes, More bottles (Direct Proportion)

$\begin{matrix}{\begin{matrix}{Machines} & {6\colon10}\end{matrix}} \\ {\begin{matrix}{Time} & {\, \, \, \, \, \, \, \, \, \, 1\colon4}\end{matrix}}\end{matrix}\Bigr{\}}: : 270:x$

∴

$6×1×x=10×4×270$

⇒

$x= \frac{(10×4×270)}{6}$

⇒

$x=1800$

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Phrases Previous Year Questions (PYQs)

Phrases Time And Work PYQ

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Work and Time – Find Days for C

✅ Final Answer: 10 days

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