List of top Mathematics Questions asked in OJEE

Find the value of $(1 - \frac{1}{2})(1 - \frac{1}{3})(1 - \frac{1}{4}) \dots (1 - \frac{1}{n})$.
If $5\sqrt{5} \times 5^3 \div 5^{-3/2} = 5^{x+2}$, find the value of x.
A library has an average of 510 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is:
Two cones have their heights in the ratio 1:3 and the radii of their bases in the ratio 3:1. Find the ratio of their volumes.
The altitude drawn to the base of an isosceles triangle is 8cm and the perimeter is 32cm. Find the area of the triangle?
How many numbers divisible by 132:
264, 396, 462, 792, 968, 2178, 5184, 6336
A college has 10 basketball players. A 5-member team and a captain will be selected out of these 10 players. How many different selections can be made?
If \[ 5\sqrt{5} \times 5^3 \div 5^{-3/2} = 5^{x+2}, \] find the value of \(x\).
Find the value of $(1 - \frac{1}{2})(1 - \frac{1}{3})(1 - \frac{1}{4}) \dots (1 - \frac{1}{n})$.
How many numbers divisible by 132:
264, 396, 462, 792, 968, 2178, 5184, 6336
The altitude drawn to the base of an isosceles triangle is 8cm and the perimeter is 32cm. Find the area of the triangle?
Two cones have their heights in the ratio 1:3 and the radii of their bases in the ratio 3:1. Find the ratio of their volumes.
A library has an average of 510 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is:
A college has 10 basketball players. A 5-member team and a captain will be selected out of these 10 players. How many different selections can be made?
Find the least possible 3 digit number which when successively divided by 2, 5, 4 and 3 leaves the remainders 1, 1, 3 and 1 respectively.
The average age of 100 teachers in a college in 2000 was 50 years. In 2002, 20 teachers superannuated from their jobs, whose average age was 60 years. In 2005, 40 new teachers joined the college whose average age was 38 years. What was the average age of all the teachers in 2008?
Selling at Rs.1140 gives 5% loss. Find SP for 5% profit.
Two trains meet. After meeting reach in 4h and 9h. Find speed ratio.
Sum of squares of two numbers is 3341 and difference is 891. Find numbers.
Loan at 12% SI for 3 years gives Rs. 5400 interest. Find principal.
Salaries ratio 2:3. After adding Rs.4000 each \(\rightarrow\) ratio 40:57. Find Jimmy's salary.
Find ? in equation: ?/\(\sqrt{128}\) = \(\sqrt{162}\)/?
The profit earned by selling an article for Rs. 900 is double the loss incurred when sold for Rs. 490. At what price should it be sold to make 25% profit?
One AC cools in 40 minutes and another in 45 minutes. If both work together, how long will it take?
A person crosses 600 m in 5 minutes. Find speed in km/hr.