JIPMAT (QA) PYQs

The length of canvas 1.1 m wide required to build a conical tent of height 14m and the floor area 346.5 $m^{2}$ is

In a cricket team of 11 players, the average age is 28 years. Out of these, the average ages of three groups of three players each are 25 years, 28 years, and 30 years respectively. If in these groups, the captain and the youngest player are not included and the captain is eleven years older than the youngest player, then the age of the captain is

At what angle the hands of a clock are inclined at 15 minutes past 5?

A man pays 40 times the annual rent to purchase a building. The rate % per annum he derives from his investment is

In a rhombus, the length of the two diagonals are 40m and 30m respectively. Its perimeter will be

The HCF of $(\frac{9}{10}, \frac{12}{25}, \frac{18}{35}, \frac{21}{40})$ is

The odd term out in the series 15, 16, 34, 105, 424, 2124, 12756 is

$(\frac{4}{7})$ of a pole is in the mud. When $(\frac{1}{3})$ of it is pulled out, 250 cm of the pole is still in the mud. The length of the pole is

A is working, and B a sleeping partner in a business. A puts in Rs.12000 and B Rs. 20000. A receives 10% of the profit for managing, the rest being divided in proportion to their capitals. Out of a total profit of Rs. 9600, the money received by A will be

A pump can be operated both for filling a tank and for emptying it. The capacity of the tank is 2400 $m^{3}$. The emptying capacity of the pump is 10 $m^{3}$ per minute higher than its filling capacity. Consequently, the pump needs 8 minutes less to empty the tank as to fill it. The filling capacity of the pump is

The value of $(\frac{1}{\sqrt{9}-\sqrt{8}} - \frac{1}{\sqrt{8}-\sqrt{7}} + \frac{1}{\sqrt{7}-\sqrt{6}} - \frac{1}{\sqrt{6}-\sqrt{5}} + \frac{1}{\sqrt{5}-\sqrt{4}})$ is

A candidate scoring 25% marks in an examination fails by 30 marks while another candidate who scores 50% marks gets 20 marks more than those required to pass. The pass percentage is

Harish divides two sums of money among his four sons Naresh, Vipin, Bhupesh, and Yogesh. The first sum is divided in the ratio $4:3:2:1$ and second in the ratio $5:6:7:8$. If the second sum is twice the first, then the largest total is received by

If points $(t, 2t)$, $(-2, 6)$ and $(3, 1)$ are collinear, then $t$ is equal to

The value of $(25.732^{2} - 15.732^{2})$ is

A contractor undertakes to do a piece of work in 40 days. He engages 100 men at the beginning and 100 more after 35 days and completes the work in stipulated time. If he had not engaged the additional men, how many days behind schedule would it be finished?

4 men and 6 women finish a job in 8 days, while 3 men and 7 women finish it in 10 days. In how many days will 10 women finish it?

A dishonest dealer professes to sell his goods at cost price. But he uses a false weight and thus gains $6 \frac{18}{47}\%$. For a kg, he uses a weight of

A man rows 20 km upstream and back again to the starting point in 110 minutes. If the speed of the stream is 2 kmph, then the speed of rowing in still water is

A number consists of two digits whose sum is 8. If 18 is added to the number, its digits are interchanged. The number is

A train with 90 kmph crosses a bridge in 36 s. Another train 100 m shorter crosses the same bridge at 45 kmph. The time taken by the second train to cross the bridge will be

A train starts full of passengers. At the first station, it drops one third of passengers and takes 280 more. At the second station, it drops one half of the new total and takes 12 more. On arriving at the third station, it is found to have 248 passengers. The number of passengers in the beginning was

A mixture of alcohol and water contains 35% alcohol by weight. if 25 g water is added to such a mixture of 100 g, then the percentage of alcohol in the mixture is

One cubic metre of iron weighs 7.800 kg. The weight of iron in a pipe of length 4 m, whose interior and exterior diameters measure 10 cm and 12 cm respectively, is nearly

The digit in the unit's place of the number represented by $(7^{95} - 7^{58})$ is

If the $m^{\text{th}}$ term of an arithmetic progression is $\frac{1}{n}$ and the $n^{\text{th}}$ term is $\frac{1}{m}$, then the $mn^{\text{th}}$ term of this progression will be

A certain sum is lent at a certain rate of compound interest. It grows to 1.44 times its value in 2 years. If the same sum is lent at simple interest at the same rate, in how many years would it double itself?

The radius of two concentric circles are 13 cm and 8 cm. AB is a diameter of the bigger circle. BD is tangent to the smaller circle touching it at D. The length AD is. <img src="https://balti.afterboards.in/8mo2utsVxt0y7Gf" width=200px>

ABC is right angled triangle at C. Let BC = a, CA = b and AB = c and let p be the length of perpendicular from C on AB, then cp is equal to

The minimum value of $(2 \sin^2\theta + 3 \cos^2\theta)$ is

A boy covers a certain distance on a toy train. If the train moved 4 kmph faster, it would take 30 minutes less. If it moved 2 kmph slower, it would have taken 20 minutes more. The distance is

In a flat race, A beats B by 15 m and C by 29 m. When B and C run over the same course together, B wins by 15 m. The length of the course is

If $2^{x} = 3^{y} = 6^{-z}$, then $(\frac{1}{x} + \frac{1}{y} + \frac{1}{z})$ is equal to