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Quantitative Aptitude
List of top Quantitative Aptitude Questions
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?
NCHMCT JEE - 2025
NCHMCT JEE
Quantitative Aptitude
LCM and HCF
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:
NCHMCT JEE - 2025
NCHMCT JEE
Quantitative Aptitude
Simple Interest
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?
NCHMCT JEE - 2025
NCHMCT JEE
Quantitative Aptitude
Logical Reasoning
Simplify: \(15 + 60 \div 15 \times 2 - 1\)
NCHMCT JEE - 2025
NCHMCT JEE
Quantitative Aptitude
Simplification
If the adjacent sides of a rectangle are increased by 35% and 20%, respectively, then by what percent will its area increase?
NCHMCT JEE - 2025
NCHMCT JEE
Quantitative Aptitude
Percentages
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.
NCHMCT JEE - 2025
NCHMCT JEE
Quantitative Aptitude
Percentages
What smallest number should be subtracted from 81025 to get a perfect square number?
NCHMCT JEE - 2025
NCHMCT JEE
Quantitative Aptitude
Square and Square Roots
Find the LCM of the numbers: \(\frac{4}{9}, \frac{8}{15}, \frac{6}{9}, \frac{12}{21}, \frac{14}{33}\)
NCHMCT JEE - 2025
NCHMCT JEE
Quantitative Aptitude
LCM and HCF
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:
NCHMCT JEE - 2025
NCHMCT JEE
Quantitative Aptitude
Partnership
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?
NCHMCT JEE - 2025
NCHMCT JEE
Quantitative Aptitude
Problem on Age
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?
NCHMCT JEE - 2025
NCHMCT JEE
Quantitative Aptitude
Time and Work
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?
NCHMCT JEE - 2025
NCHMCT JEE
Quantitative Aptitude
Averages
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:
NCHMCT JEE - 2025
NCHMCT JEE
Quantitative Aptitude
Time, Speed and Distance
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?
NCHMCT JEE - 2025
NCHMCT JEE
Quantitative Aptitude
Time and Work
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)
NCHMCT JEE - 2025
NCHMCT JEE
Quantitative Aptitude
Boat and Stream
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:
NCHMCT JEE - 2025
NCHMCT JEE
Quantitative Aptitude
Averages
Find the value of \(p^3-27q^3\) if \(p-3q=-7\) and \(pq=-10\).
NCHMCT JEE - 2025
NCHMCT JEE
Quantitative Aptitude
Algebraic Identities
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.
NCHMCT JEE - 2025
NCHMCT JEE
Quantitative Aptitude
Averages
Which of the following is correct for a number to be divisible by 8?
NCHMCT JEE - 2025
NCHMCT JEE
Quantitative Aptitude
Divisibility Rules
The value of \((2.3\overline{6}-0.1\overline{4})\) expressed as fraction in lowest terms is:
NCHMCT JEE - 2025
NCHMCT JEE
Quantitative Aptitude
Number System
If A : B = 2 : 3, A : C = 6 : 7, C : D = 14 : 15, then find A : B : C : D.
NCHMCT JEE - 2025
NCHMCT JEE
Quantitative Aptitude
Ratio and Proportion
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?
NCHMCT JEE - 2025
NCHMCT JEE
Quantitative Aptitude
Mixtures and Allegations
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. (\(\pi=\frac{22}{7}\))
NCHMCT JEE - 2025
NCHMCT JEE
Quantitative Aptitude
Mensuration
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).
NCHMCT JEE - 2025
NCHMCT JEE
Quantitative Aptitude
Profit and Loss
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.
NCHMCT JEE - 2025
NCHMCT JEE
Quantitative Aptitude
Profit and Loss
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