List of top Mathematics Questions on Algebra

The number of distinct real roots of the equation \[ |x| \, |x + 2| - 5|x + 1| - 1 = 0 \] is _________.

If the constant term in the expansion of \((1 + 2x - 3x^3) \left(\frac{3}{2}x^2 - \frac{1}{3x}\right)^9\) is \( p \), then \( 108p \) is equal to _________.

The number of real solutions of the equation\[x \left( x^2 + 3|x| + 5|x - 1| + 6|x - 2| \right) = 0\]is ______.

The minimum value of \(x^2 + \frac{1}{x}\) is:

The sum of the digits of a two-digit number is 15 and the difference between the digits is 3. What is the two-digit number pair?

The produce of a square field when sold at the rate of Rs. 1.50 per 100 sq. meters fetches Rs. 1350. What will be the cost of putting a fence all-round the field at the rate of 50 paise per meter?

The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 27. What is the difference between the two digits of that number?

The largest number that divides 70 and 125, which leaves the remainders 5 and 8, is

In a 100 m race, A covers the distance in 36 seconds and B covers in 45 seconds. In this race, A beats B by___________?

A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?

If \(5\) times the \(5^{th}\) term of an A.P is the same as \(7\) times the \(7{th}\) term, then find its \(12^{th}\)\(\) term

Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together?

The product of two numbers is 120 and the sum of their squares is 289. The sum of the number is:

A sum of money is to be distributed among Arun, Banu, Chinu, Dany in the proportion of 5: 2:4: 3 respectively. If C gets Rs. 1500 more than D, what is B's share?

The population of a town increased from 1,75,000 to 2,62,500 in a decade. The average percent increase of population per year is:

Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are:

Find a positive number which when increased by 17 is equal to 60 times the reciprocal of the number.

The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?

A small village, having a population of 5,000 requires 75 litres of water per head per day. The village has got an overhead tank of measurement 40 m x 25m x 15 m. For how many days will the water in the tank last?

The difference between two positive numbers is 5 and the sum of their squares is 73. Find the product of these numbers.

If (2,0) is a solution of linear equation 2x+3y=k, then what is the value of k?

The average of 15 numbers is 18. The average of first 8 is 19 and the last 8 is 17, then what is the \(8^{th}\) number?

The product of two numbers is 120 and the sum of their squares is 289. The sum of the number is:

When the digits within the number are multiplied with each other, the product of which of the following numbers is the lowest ?
435, 224, 823, 902

Find out the wrong number in the series.
2880, 480, 92, 24, 8, 4, 4