List of top Quantitative Aptitude Questions asked in NCHMCT JEE

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 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?
If A : B = 2 : 3, A : C = 6 : 7, C : D = 14 : 15, then find A : B : C : D.
What is the area of an isosceles triangle whose perimeter is 11 cm and base is 5 cm?
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.
Find the value of: \(\frac{\sqrt[3]{3375}+\sqrt{144}}{\sqrt[3]{729}+\sqrt[3]{1728}}\)
Solve the following: \[ \sqrt{13824} + \sqrt{15625} \]
₹ 10000 is invested for \( 1\frac{1}{2} \) years at 10% p.a. What is the difference between the compound interest when the sum is compounded half yearly and when it is compounded annually?
If (a + b) : (b + c) : (c + a) = 6 : 7 : 8 and \( a + b + c = 14 \), then the value of \( a \) is:
If the length of the diagonal and the area of a rectangle are 25 m and 168 m\(^2\), respectively, then the longer side of the rectangle is:
A is three years older than B who is twice as old as C. If the sum of the ages of A, B and C is 28 years, then how old is B?
The simple interest on a certain sum at the rate of 7% for 6 years is ₹ 3024. The sum is:
A number when multiplied by 18, increased by 357. The number is:
In what ratio should two varieties of sugar costing ₹ 52/kg and ₹ 42/kg, respectively, be mixed to get a variety of sugar costing ₹ 45/kg?
A solid metallic cube having surface area 864 cm\(^2\) is melted to form 64 small solid cubes of the same size. The sum of the surface areas of all the small cubes so formed (in cm\(^2\)) is:
What is the average of first 16 multiples of 9?
In a journey of total 24 km, a man noticed that after cycling for 1 hour 40 minutes, the distance covered by him was \( \frac{5}{7} \) of the remaining distance. What was his speed in meters per second?
The monthly salaries of A and B together amount to ₹ 40000. A spends 82% of his salary and B, 94% of his salary. If their savings are the same, then the salary of A is:
Solve: \( 2.8 - (7.4 \div 3.7 \times 5) \times 2 \)
The sum of two numbers is 240. If the numbers are in the ratio 3 : 5, then the sum of their LCM and HCF is:
What is the least number that must be added to 6412 to get a perfect square?
A man sold two articles for ₹4000 each with no profit no loss in the whole transaction. If he sold one article at a gain of 25%, then the other article has been sold at a loss of:
A and B can do a work in 120 days, B and C can do it in 72 days while A and C can do it in 90 days. In how many days can C alone do the work?
Joseph started a business by investing ₹ 100000. After 2 months, B joined him by investing ₹ 90000. After 4 more months, C joined them by investing ₹ 100000. The ratio of their shares in the profit at the end of the year is:
The ratio of present ages of A, B, and C is 3 : 4 : 5. After 6 years, the average age of all the three will be 26 years. What was the difference between the ages of B and C, 4 years ago?