NMIMS NPAT · Paper 4

In triangle ABC, AB = 6 cm, AC = BC = 7 cm. Also, CP is a median. Which of the following is the area of triangle ABC?

The present ages of a father and his son are in the ratio 5 : 2. Six years from now, their ages will be in the ratio 2 : 1. What is the father's present age?

Three bells ring at intervals of 12, 18 and 30 minutes. They ring together at 9:00 a.m. How many times will they ring together from 9:00 a.m. to 9:00 p.m., counting both 9:00 a.m. and 9:00 p.m.?

The table shows the percentage change in the number of units manufactured by a plant during different months in Year 2.

Note: Round up the decimal values obtained (if any) during calculations to the nearest integer value.

Quantity I: Net percentage change in the number of units manufactured from December of Year 1 to March of Year 2

Quantity II: 35%

Pick the most exact relation that always holds.

Quantity I: The average of the first 20 odd natural numbers

Quantity II: The average of the first 19 even natural numbers

Pick the most exact relation that always holds.

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

If the median of a set consisting of $n$ consecutive odd positive integers is an even integer, the sum of the mean and the range of the set is an odd integer.

Two trains, 150 m and 100 m long, run on parallel tracks. When they move in opposite directions, they cross each other completely in 10 seconds. When they move in the same direction, the faster train overtakes the slower one completely in 50 seconds. What is the speed of the faster train?

Find the next number in the series: 5, 11, 23, 47, 95, ?

Which of the following does not belong with the others?

Among five friends, Pooja is taller than Qasim but shorter than Ritu. Sunil is shorter than Qasim. Tanvi is taller than Ritu. Who is the third tallest?

Statement I: The city's main reservoir has fallen to its lowest level in ten years.

Statement II: The municipal corporation has announced that water will be supplied only on alternate days.

Which of the following best describes the relationship between the two statements?

Question: What is the two-digit number N?

I. The sum of the digits of N is 9.

II. The tens digit of N is twice its units digit.

Decide whether the statements are sufficient to answer the question.

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

Statement:

Some mangoes are exported to Europe and most mangoes are consumed in India. In India, some mangoes are used for preparing mango juice and some are used for making jellies. All mangoes are consumed by humans unless they are raw mangoes. All raw mangoes are exported outside India.

Conclusions:

I. All the mangoes exported to Europe are unfit for human consumption.

II. Mango juice can also be prepared with raw mangoes.

III. Most mangoes are consumed in India in the form of mango jelly.

IV. No raw mango was used to prepare jelly in India.

Seven friends, Rohit, Sana, Tara, Uday, Vani, Wasim and Yash, sit in a row, all facing north.

Uday sits at one of the ends of the row.

Sana sits second to the right of Uday.

Vani sits immediately to the right of Tara.

Rohit does not sit next to Sana.

Wasim sits next to Vani.

Who sits second to the left of Wasim?

Select the option that best completes the sentence below.

Certain habits stay with you ______ life.

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

There are many harmful affects of consuming junk food regularly. Eating nutritious food is key to healthy living.

From the given words, fill in the blank with the most appropriate word. The sentence is from a passage on legal scholars' opposition to capital punishment.

People who support capital punishment, it argues, have failed to make a ______ between justice and revenge, thereby normalising crime.

To finish the bridge before the deadline, the contractor cut corners, and cracks appeared within a year.

What does the underlined phrase mean?

Select the option that correctly replaces the underlined part of the sentence. If no change is needed, select 'No improvement'.

Neither the captain nor the players was willing to accept the referee's decision.

Read the passage and answer the question.

A study of 300 small shops found that those offering free home delivery earned about a fifth more than similar shops that did not. The study's authors warned against the obvious reading. The delivering shops were, on average, larger and had been open longer, and a shop that is already doing well can afford to hire a delivery boy. Delivery may raise sales, the authors said, but the study could not show how much of the gap it explained.

According to the passage, why did the authors warn against the obvious reading of their result?