List of top Questions asked in NCHMCT JEE- 2025

The average weight of 11 persons in a group of 12 persons is 64 kg. The weight of the 12th person is 22 kg more than the average weight of all the 12 persons. The weight of the 12th person (in kg) is:
Aniket can row a boat, 21 km downstream in 1 hr 30 min and 20 km upstream in 2 hours. He can row the boat in still water at the speed of (in km/h)
Four men can do 60% of a work in 6 days, whereas 6 women can do 50% of the same work in 5 days. How many days will 2 men and 3 women take to do the work if they work together?
4 men can do a work in 5 days and 5 women can do it in 6 days. How many women should work with 2 men to complete the work in 5 days?
To reduce the usual time taken to cover a distance of 300 km by 1 hour, the speed of a bus is increased by 10 km/h. The usual speed of the bus (in km/h) is:
If the mean of the observations k, (k+8), (2k-1), (k+12), 12 and 17 is 13, then find the median of these observations.
Which of the following is correct for a number to be divisible by 8?
Find the value of \(p^3-27q^3\) if \(p-3q=-7\) and \(pq=-10\).
The value of \((2.3\overline{6}-0.1\overline{4})\) expressed as fraction in lowest terms is:
22 solid metallic cubes of side 4 cm are melted and 16 equal solid cylinders of height 7 cm are formed. Find the radius (in cm) of the cylinders so formed. (\(\pi=\frac{22}{7}\))
A shopkeeper sold two electric irons at ₹1344 each. He earned 12% profit on one iron and lost 4% on the other. Find his overall profit percentage (correct to 2 decimal places).
A shopkeeper allowed successive discounts of 12% and x% on every item. A customer paid ₹15048 for an item marked for ₹18000. Find the value of x.
If A : B = 2 : 3, A : C = 6 : 7, C : D = 14 : 15, then find A : B : C : D.
A vessel contains 100 liters of solution having 80 liters of spirit and the remaining is water. If 20 liters of the mixture is taken out from the vessel and replaced by water, then what will be the ratio of spirit to water in the new solution?
A wooden cuboidal box with lid has external dimensions 80 cm × 49 cm × 30 cm. If thickness of the wood is 2 cm, then find the volume of the wood (in cm³) used.
What is the area of an isosceles triangle whose perimeter is 11 cm and base is 5 cm?
Find the value of: \(\frac{\sqrt[3]{3375}+\sqrt{144}}{\sqrt[3]{729}+\sqrt[3]{1728}}\)