IPMAT Indore · Paper 12

A grocer claims to sell rice at cost price, but he uses a weight of 900 g in place of 1 kg. What is his actual profit percentage?

The average marks of 30 students in a test were calculated as 62. It was later found that one student's marks had been entered as 84 instead of 48. What is the correct average?

Three traffic signals at different crossings change every 48 seconds, 72 seconds and 108 seconds respectively. If all three change together at exactly 8:00:00 am, at what time will they next change together?

The simple interest on a sum of money for 2 years at 8% per annum is ₹1,600. What is the compound interest on the same sum for 2 years at the same rate, compounded annually?

A rectangular sheet of paper measuring 44 cm by 18 cm is rolled so that its 44 cm side forms the circumference of a cylinder of height 18 cm. What is the volume of the cylinder? (Take $\pi = \frac{22}{7}$.)

The two roots of the equation $x^2 - px + 12 = 0$ differ by 1. What are all the possible values of $p$?

In a survey of 100 people, 60 said they read newspaper P and 50 said they read newspaper Q. If $x$ people read both newspapers, what are the least and the greatest possible values of $x$?

Six friends, including Rohan and Sara, are to be seated around a circular table. In how many ways can they be seated if Rohan and Sara must not sit next to each other? (Arrangements that differ only by a rotation are counted as the same.)

Choose the word most nearly opposite in meaning to the underlined word as used in the sentence.

The singer's fame proved ephemeral: within a year of her hit song, few people remembered her name.

Choose the option that best explains the meaning of the underlined phrasal verb.

The annual sports day was called off because heavy rain had flooded the ground.

Choose the one word that means: government by a small group of powerful people.

Choose the preposition that correctly completes the sentence.

The clerk was accused ________ leaking confidential files to a rival firm.

Identify the part of the sentence that contains a grammatical error.

By the time the ambulance arrived / the injured cyclist / has already lost / a great deal of blood.

In the sentence below, choose the meaning of the underlined word as used in context.

With the passes blocked by snow until spring, the commander decided to husband the remaining grain so that it would last the whole winter.

Choose the word that best completes the sentence.

Her ________ approach to deadlines meant that the team often had to work through the night to finish the tasks she had put off.

The sentences given below, when properly sequenced, form a coherent paragraph. Choose the most logical order.

1. The captain's code used up to twelve dots for each sound, too many for a fingertip to feel in a single touch.

2. That six-dot cell is, with small changes, the one blind readers around the world still use today.

3. As a boy at a school for the blind in Paris, Louis Braille learnt of a system of raised dots that an army captain had designed for reading messages in the dark.

4. Braille, still a teenager, cut the cell down to six dots, two across and three down, standing for letters rather than sounds.

Choose the option that correctly reports the sentence below in indirect speech.

The coach said to the players, "Do not waste your energy in the first half."

Choose the option that best fills both blanks.

The minister's speech was meant to ________ public anger over the price rise, but its ________ tone only made matters worse.

Read the passage and answer the question that follows.

Until the 1990s, India had tens of millions of vultures, and they performed a grim but useful service: a flock could strip a dead cow to the bone in under an hour. Then, within about fifteen years, the numbers of the three commonest species fell by more than 95 per cent. The cause, identified in the early 2000s, was diclofenac, a cheap painkiller given to sick cattle. Vultures that fed on the carcasses of treated animals suffered kidney failure and died. The drug was banned for veterinary use in 2006, but the birds breed slowly, and their numbers have recovered only a little. Meanwhile, carcasses that vultures once cleared were left to rot or were eaten by stray dogs, whose numbers grew with the extra food. Since dogs are the main carriers of rabies in India, some researchers link the loss of vultures to a rise in rabies cases.

Which of the following can be inferred from the passage?

Read the passage and answer the question that follows.

In the hot summer of 1858, the smell rising from the River Thames became so foul that Parliament, which sits on its bank, hung curtains soaked in lime to keep it out. For years, London's sewage had flowed straight into the river. Within weeks of what newspapers called the Great Stink, lawmakers who had argued for years over the cost approved a vast network of sewers, designed by the engineer Joseph Bazalgette, to carry the waste far downstream. Their reasoning was mistaken. Most doctors then believed that diseases such as cholera spread through foul air, so removing the smell seemed to be the point. In fact cholera spreads through contaminated water. Yet by keeping sewage out of the water that Londoners drank, the new sewers helped rid the city of cholera all the same. A good solution, in this case, was adopted for a bad reason.

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