List of top Quantitative Aptitude Questions asked in NCHMCT JEE

If \(P = \frac{1}{2} + \frac{1}{6} + \frac{1}{12} + \frac{1}{20} + \frac{1}{30}\), then find the value of \(\sqrt{6(9-P)}\).
Simplify: \((27)^{\frac{-1}{3}} \times (27)^{\frac{-1}{3}} \times [27^{\frac{1}{3}} - 27^{\frac{2}{3}}]\)
On simple interest a certain sum amounts to ₹14061 in 6 years and to ₹16023 in 8 years on the same rate of interest. The rate of interest per annum is:
The LCM of two numbers is 15 times their HCF. If the sum of their LCM and HCF is 160 and one of the numbers is 50, then what is the other number?
If a 'girl' is called a 'boy', 'boy' is called a 'man', 'man' is called a 'waiter', 'waiter' is called a 'woman', 'woman' is called a 'teacher' and 'teacher' is called a 'girl', then who will serve food in a restaurant?
A certain sum on compound interest becomes ₹19573 at 15% per annum in 2 years. Find the compound interest on the same sum at 10% per annum in 2 years.
Simplify: \(15 + 60 \div 15 \times 2 - 1\)
In an election between two candidates, 12% voters did not cast their vote. \(\frac{1}{6}\)th of the votes casted were found to be invalid. The winner obtained 55% of the valid votes and won the election by 36542 votes. Find the total number of voters registered.
Find the LCM of the numbers: \(\frac{4}{9}, \frac{8}{15}, \frac{6}{9}, \frac{12}{21}, \frac{14}{33}\)
What smallest number should be subtracted from 81025 to get a perfect square number?
If the adjacent sides of a rectangle are increased by 35% and 20%, respectively, then by what percent will its area increase?
Two years ago, the ages of Rekha and Shruti were in the ratio 2:3. Three years hence, the ratio will become 3:4. How old will Shruti be after 8 years from now?
Aditya and Bipin entered into a partnership by investing ₹40,000 and ₹50,000 respectively. After 4 months, Aditya made additional investment equal to \(\frac{1}{4}\)th of his investment and Bipin withdrew \(\frac{1}{5}\)th of his investment. The share of Aditya in the profit of ₹16,200 at the end of the year is:
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:
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?
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)
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:
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.
The value of \((2.3\overline{6}-0.1\overline{4})\) expressed as fraction in lowest terms is:
Find the value of \(p^3-27q^3\) if \(p-3q=-7\) and \(pq=-10\).
Which of the following is correct for a number to be divisible by 8?
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.
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).