NMIMS NPAT · Paper 5

In an examination, a candidate needs 40% of the maximum marks to pass. Riya scored 168 marks and failed by 32 marks. What are the maximum marks?

The marks of seven students in a test are 14, 8, 21, 14, 11, 9 and 28. What is the difference between the mean and the mode of these marks?

Given: In a class of 50 students, 30 study French and 25 study German. Some students may study neither language.

Quantity I: The number of students who study both French and German

Quantity II: 8

Pick the most exact relation that always holds.

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.

If the difference between the number of units manufactured in April of Year 2 and July of Year 2 was 1.7 million, what was the approximate number of units manufactured in April of Year 2?

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

Two sets of numbers having medians $p$ and $q$ respectively are combined to form a new set. If $p > q$, then the median $m$ of the new set satisfies $q < m < p$.

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

Given: $a$ and $b$ are positive integers and $a > b$.

The median of a set consisting of 5 terms: $a^2$, $ab$, $b^2$, $(a - b)^2$ and $(a + b)^2$ is $ab$.

A three-digit number is formed using three different digits chosen from 1, 2, 3, 4 and 5, with every such number equally likely. What is the probability that the number is divisible by 4?

Find the missing number: 6 : 35 :: 9 : ?

Out of the five options given below, four are similar in a certain manner. However, one is not like the other four. Select the one which is different from the rest.

In a certain code language, 'sky is blue' is written as 'ta pa ma', 'blue and green' is written as 'ra ka ta', and 'green is good' is written as 'ka pa sa'. What is the code for 'sky'?

Sunil is facing south. He turns 135° clockwise and then 90° anticlockwise. Which direction is he facing now?

Read the three statements and decide which conclusions must be true if the statements are true.

Some doctors are singers. All singers are dancers. No dancer is a painter.

I. Some doctors are dancers.

II. No singer is a painter.

III. Some painters are doctors.

Statement: Of the 120 students who chose to attend an optional Saturday revision class, 90 scored above 80% in the final exam. Of the students who did not attend, only 40% scored above 80%.

Conclusions:

I. Students who attended the Saturday class were more likely to score above 80% than those who did not.

II. The Saturday class caused the attending students to score higher.

Which of the conclusions follow from the statement?

Five boxes are stacked one on top of another, numbered 1 (bottom) to 5 (top). Each box is a different colour, red, blue, green, white or yellow, and holds a different item: books, shoes, toys, lamps or plates.

The green box is directly above the red box.

The shoes are in the middle box.

The books are in the box directly below the toys.

The white box holds the lamps.

The plates are in the bottom box.

The blue box holds the toys.

What colour is the box that holds the books?

Choose the word closest in meaning to the underlined word.

The minister gave a candid account of the mistakes his department had made.

Select the option that best completes the sentence.

The red scarf ______ her grey coat perfectly.

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.

It says research studies have clearly shown that capital punishment does not act as a ______ to violent crimes.

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

The villagers have already carried the injured man to the shade by the time the ambulance reached the spot.

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

P. Rock salt helps in the absorption of minerals in the body, aids digestion, soothes heartburn, stabilises blood pressure and cures rheumatic pain.

Q. There are many benefits and uses of rock salt, but what actually is it?

R. Rock salt found in the Himalayan region is given the name Himalayan crystal salt.

S. It is good for the hair and skin as well, owing to its detoxifying, exfoliating and cleansing properties.

T. Formed from sodium chloride, rock salt (or halite) is a mineral that appears as a result of saltwater evaporation from large water bodies.

Read the passage and answer the question.

Toru Dutt is considered the earliest Indian female writer in English. She travelled extensively in Europe from a young age with her family. She and her sister Aru became fascinated with Paris and French literature. In London, they came in contact with such august personages as Sir Bartle Frere, the Governor of Bombay from 1862 to 1867, and Sir Edward Ryan, the Chief Justice of the Supreme Court, Calcutta, from 1833 to 1843.

Toru Dutt was greatly influenced in her writings by French Romantic poets like Victor Hugo and English writers like Elizabeth Browning, John Keats, Charlotte Bronte and Jane Austen. She was also intrigued by the legends and myths of India, and even learned Sanskrit. Her writings were marked by romantic melancholia and an obsession and preoccupation with death. This was partly due to her suffering and pain following the early tragic deaths of her siblings, especially her older sister Aru, with whom she was quite close.

Her chosen subjects often portrayed separation, loneliness, captivity, dejection, declining seasons and untimely death. She led an "Ivory Tower existence" and her own death came quite early, at the age of 21, in the full bloom of her talent and on the eve of the awakening of her genius.

Toru Dutt's most famous work is A Sheaf Gleaned in French Fields, an anthology of poems translated from French to English. It also contained a few original poems that showcase her vast insight into French literature. She used to publish poems in the Bengal Magazine, under the pseudonym "TD". But most of her powerful work was published posthumously, including the French novel Le Journal de Mademoiselle D'Arvers and the unfinished English novel Bianca, or, the Young Spanish Maiden. Her work Ancient Ballads and Legends of Hindustan depicts a shrewd knowledge of Hindu mythology and an instinctive empathy with the conditions of life they represent.

An assimilation of the Occident and the Orient nourished Toru's poetic skills; in her, we find a tripartite influence of a French education, lectures at Cambridge and the study of Sanskrit literature.

According to the passage, which of the following is not true?