List of top Quantitative Aptitude Questions asked in NCHMCT JEE

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:
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:
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:
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 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 sum of two numbers is 240. If the numbers are in the ratio 3 : 5, then the sum of their LCM and HCF is:
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?
What is the least number that must be added to 6412 to get a perfect square?
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:
What is the average of first 16 multiples of 9?
Solve: \( 2.8 - (7.4 \div 3.7 \times 5) \times 2 \)
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:
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?
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?
In an election between two candidates, one of them got 62% of the total votes polled and won by 432 votes. What is the total number of votes polled?
In a class of 60 students, 60% are boys. The average of marks of the boys is 68 and that of the girls is 72. What are the average marks of the whole class?
If \( a^4 + \frac{1}{a^4} = 322 \), then the value of \( a - \frac{1}{a} \) is:
If the difference between 58% and 76% of a number is 198, then the difference between 82% and 46% of the same number will be:
What is the HCF of \( \frac{8}{5}, \frac{6}{8}, \frac{4}{25} \)?
A and B, working together, can do a work in 8 days. If A alone can do the work in 12 days, then in how many days can B alone do 25 percent of the work?