List of top Questions asked in NCHMCT JEE

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:
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:
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?
In a class, there are 40 students. Their average marks in a test are 33. If the average marks of the boys are 30 and that of the girls are 35, then what is the number of boys in the class?
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:
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 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.
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. (\(\pi=\frac{22}{7}\))
What is the area of an isosceles triangle whose perimeter is 11 cm and base is 5 cm?
Find the value of: \(\frac{\sqrt[3]{3375}+\sqrt{144}}{\sqrt[3]{729}+\sqrt[3]{1728}}\)
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.
As a reward to your service performance, your company has nominated you for a performance improvement training program. The problem is that you are not interested in going there. You will:
Choose the word nearest in meaning to the given word: EXCULPATE
Choose the word opposite in meaning to the given word: FARcICAL
Choose the word which best expresses the meaning of the given word: Humble
Choose the word opposite in meaning to the given word: FOSTER
Choose the correctly spelt word from the following options: Dillent
Choose the correctly spelt word from the following options:
Choose the word opposite in meaning to the given word. RETAIN