JIPMAT 2021 Quant

The digit in the unit's place of the number represented by (7⁹⁵­ - 7⁵⁸) is

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

The value of (25.732²­ - 15.732²) is

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

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

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 younger player, then the age of the captain is

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

4/7 of a pole is in the mud. When 1/3 of it is pulled out, 250 cm of the pole is still in the mud. The length of the pole is:

f 2^x = 3^y = 6^−z, then $\left(\frac{1}{\mathrm{x}}+\frac{1}{\mathrm{y}}+\frac{1}{\mathrm{z}}\right)$ is equal to

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

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

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

A is working, and B a sleeping partner in a business. A puts in Rs.12000 and B Rs. 20000. A received 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 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 pump can be operated both for filling a tank and for emptying it. The capacity of tank is 2400 m³. The emptying capacity of the pump is 10 m³ 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 pump 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

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

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

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

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?

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

The length of canvas 1.1 m wide required to build a conical tent of height 14m and the floor area 346.5m² is

One cubic meter 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

[Note: The original question had only 4 options which were all incorrect. This quetion was dropped by NTA]

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

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

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

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

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.

​​​​​​​

The minimum value of ( 2 sin²θ + 3 cos²θ)  is

If the m^th term of an arithmetic progression is 1/n and n^th term is 1/m, then mn^th term of this progression will be

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