NMIMS NPAT · Paper 3

A can draw 10 illustrations in 5 days. B is three times as productive in twice the amount of time (in comparison to A). How many illustrations can B draw in a day?

A trader marks his goods 25% above the cost price and then allows a discount of 12% on the marked price. What is his profit percentage?

Asha starts a business with ₹40,000. Three months later, Bhavna joins her with ₹60,000. At the end of the year, the profit is ₹34,000. What is Bhavna's share of the profit?

Given: $3^{2x} - 12(3^x) + 27 = 0$.

Quantity I: $x$

Quantity II: $3^x$

Pick the most exact relation that always holds.

Given: $a$ and $b$ are positive integers with $ab = 36$.

Quantity I: $12$

Quantity II: $a + b$

Pick the most exact relation that always holds.

If $2^x = 3^y = 6^{-z}$, where $x$, $y$ and $z$ are non-zero, what is the value of $\frac{1}{x} + \frac{1}{y} + \frac{1}{z}$?

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

A cone fits perfectly (height-wise) inside a 6 cm $\times$ 8 cm $\times$ 10 cm cuboid such that the entire base of the cone rests on one of the faces of the cuboid. Also, the circumference of the base of the cone just touches one of the pairs of the opposite sides of the face of the cuboid which is beneath it.

The volume of the cone is $32\pi$ cm³.

Find the next letter in the series: C, F, J, O, ?

In a certain code, CAT is written as 24 and BAT as 23. How is DOG written in that code?

Which of the following correctly describes how the three groups Teachers, Women and Mothers are related?

At 7 a.m. on a sunny morning, Rina stands in an open field and her shadow falls exactly to her left. Which direction is she facing?

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

Statements:

In a university, some students can speak English and German, but not French.

Some students can speak French and Japanese, but not Korean.

Some students can speak German and Korean, but not Japanese.

Some students can speak English and Japanese, but not Korean.

Conclusions:

I. All students who speak Japanese can speak English.

II. Among the students who speak German, some can speak English and some can speak Korean.

III. Students who speak French can speak German as well.

Statement: An advertisement says, 'Use our new app to book a doctor's appointment in under a minute.'

Assumptions:

I. Many people want to book doctors' appointments quickly.

II. Every doctor in the city is listed on the app.

Which of the assumptions is implicit in the statement?

Six people, Gita, Hari, Indu, Jay, Kunal and Lata, live in a six-storey building, one on each floor. The ground floor is floor 1 and the top floor is floor 6.

Hari lives on an even-numbered floor.

There are exactly two floors between the floors of Indu and Hari.

Jay lives on the floor immediately above Gita's.

Kunal lives on a floor above Lata's.

Neither Lata nor Indu lives on floor 1.

Who lives on the floor immediately below Kunal?

Select the option that best completes the sentence below.

______ Buddhist beliefs and traditions, Gautam Buddha had been born as animals and humans in many previous births.

The coach's laconic reply, just 'We'll see', told the reporters nothing.

Which word is most nearly OPPOSITE in meaning to 'laconic' as used here?

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

The area I live in is one of the many safe places that gives freedom to women to walk around, even at night.

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

P. According to archaeologists, Machu Picchu was an estate built for Pachacuti, the emperor of the Inca kingdom.

Q. In 2007, it also got included as one of the Seven Wonders of the World.

R. Machu Picchu is a citadel situated on a 7,970 ft mountain ridge in southern Peru.

S. It was declared a UNESCO World Heritage Site in the year 1983.

Select the pair of words that best completes the sentence.

The new one-way system was meant to ______ traffic jams, but critics say it has only ______ them to the side streets.

Read the passage and answer the question.

Every few years a new technology is announced as the end of the classroom. Radio was going to do it, then television, then the internet, and now artificial intelligence. Each time, schools adopted the new tool, teachers found some good uses for it, and classrooms carried on, a little changed. It would be foolish to say that this time cannot be different. But anyone predicting the end of the classroom might first ask why the last four predictions failed.

The author's attitude towards the claim that artificial intelligence will end the classroom is best described as: