NMIMS NPAT · Paper 2

Over 2 years at 8% a year, compounding annually earns ₹96 more interest on a deposit than simple interest would. How much was deposited?

When working individually, A and B take 6 days and 8 days to paint a fence. They started working together. After 2 days, C also joined them. If the work was completed after 1 more day (3 days in total), in how many days can C paint the entire fence alone?

The average of five numbers is 24. When one of them is removed, the average of the remaining four numbers is 21. Which number was removed?

Given: A right-angled triangle has sides of lengths 6 cm, 8 cm and 10 cm.

Quantity I: Volume of the cone formed by rotating the triangle about the side of length 6 cm

Quantity II: Volume of the cone formed by rotating the triangle about the side of length 8 cm

Pick the most exact relation that always holds.

Quantity I: $m$, where $m^2 - 11m + 30 = 0$

Quantity II: $n$, where $n^2 - 9n + 20 = 0$

Pick the most exact relation that always holds.

Decide whether the statement below is always true, sometimes true or never true.

If $p$ and $q$ are numbers such that the pair of linear equations $(p + 2)x + (q - 1)y = 10$ and $(q + 2)x + (p - 1)y = 10$ have infinite solutions of $x$ and $y$, then $p = q$.

How many terms of the arithmetic progression 24, 21, 18, ... must be added to get a sum of 78?

Four of the following five numbers are alike in a certain way and one is different. Find the one that is different.

Pen : Writer :: Scalpel : ?

If '+' means '×', '−' means '÷', '×' means '−' and '÷' means '+', what is the value of $18 - 3 + 4 \div 6 \times 5$?

In a row of students, Kiran is 14th from the left and Manav is 9th from the right. When they swap places, Kiran becomes 25th from the left. How many students are in the row?

Statements:

All pens are books.

Some books are bags.

No bag is a chair.

Conclusions:

I. Some pens are bags.

II. Some books are not chairs.

III. No pen is a chair.

Which of the conclusions definitely follow from the statements?

Select the conclusion that best follows from the statement given below.

Statement:

In a library, some members were issued non-fiction non-academic books and these were returned exactly 3 weeks later. Some members were issued non-academic fiction books written by American authors and they returned these books within 20 days. More than half the members were issued academic textbooks and these were returned after 20 days.

Conclusions:

I. The non-academic fiction books were borrowed by library members for the shortest duration.

II. Most library members prefer to read non-academic non-fiction books.

III. Academic textbooks were perhaps the most issued books in the library.

IV. Non-academic fiction books are preferred more than the non-academic non-fiction books by library members.

Five trainees, Kabir, Leela, Mohan, Nisha and Omar, each give one talk on a different day from Monday to Friday. The five talks are on different topics: Finance, HR, Marketing, Operations and Strategy.

Leela speaks on Wednesday.

The Marketing talk is on the day right after Kabir's talk.

Omar speaks on an earlier day than Nisha, but not on Monday.

The HR talk is on Friday.

Mohan gives the Strategy talk.

The Strategy talk is on the day right after the Operations talk.

Which talk does Kabir give?

Select the option that best completes the sentence below.

Birds get very frightened when paper balls are thrown ______ them.

After weeks of arguing over the project, the two partners finally decided to bury the hatchet.

What does the underlined phrase mean?

Select the word or phrase that is incorrect in the sentences below. Select 'No error' if the sentences have no errors.

The incident left her with a fractured leg. With great efforts, she has started to walk again.

From the given words, fill in the blank with the most appropriate word.

Considerable opposition to capital punishment has come from the legal scholarship quarters. It views the use of capital punishment as ______, as it uses hate to fight hate.

Rearrange the given sentences in a proper sequence to form a meaningful paragraph.

P. Without them, many fruit and vegetable crops would give far smaller harvests.

Q. Honeybees are best known for the honey they make.

R. Yet their more valuable work happens out of sight, as they carry pollen from flower to flower.

S. This is why farmers in some regions now rent beehives during the flowering season.

Read the passage and answer the question.

When a town library replaced its 'silence' signs with rooms for group study, borrowing fell slightly but visits doubled. Older readers complained that the library had become a café; students said it was the first public place where they could work together without buying anything. The librarians concluded that a library's success can no longer be measured only by the books it lends. What people do inside the building, and who feels welcome there, may matter just as much.

Which of the following best states the main idea of the passage?