English Medium Class 10 - CBSE Question Bank Solutions for Mathematics

Is -150 a term of the AP 11, 8, 5, 2, ……?

Which term of the A.P. `20, 19 1/4, 18 1/2, 17 3/4,` ..... is the first negative term?

The 7^th term of the an AP is -4 and its 13^th term is -16. Find the AP.

The 4^th term of an AP is zero. Prove that its 25^th term is triple its 11^th term.  

The 8^th term of an AP is zero. Prove that its 38^th term is triple its 18^th term.  

The 4^th term of an AP is 11. The sum of the 5^th and 7^th terms of this AP is 34. Find its common difference

The 9^th term of an AP is -32 and the sum of its 11^th and 13^th terms is -94. Find the common difference of the AP. 

Determine the nth term of the AP whose 7^th term is -1 and 16^th term is 17. 

If 4 times the 4^th term of an A.P. is equal to 18 times its 18^th term, then find its 22^nd term.

If 10 times the 10^th  term of an AP is equal to 15 times the 15^th  term, show that its 25^th term is zero. 

Find the common difference of an AP whose first term is 5 and the sum of its first four terms is half the sum of the next four terms.

The 24^th term of an AP is twice its 10^th term. Show that its 72^nd term is 4 times its 15^th term. 

The 19^th term of an AP is equal to 3 times its 6^th term. If its 9^th term is 19, find the AP. 

If the pth term of an AP is q and its qth term is p then show that its (p + q)th term is zero

The first and last terms of an AP are a and l respectively. Show that the sum of the nth term from the beginning and the nth term form the end is ( a + l ).

How many two-digit number are divisible by 6?

How many two-digits numbers are divisible by 3?

How many three-digit numbers are divisible by 9?

How many numbers are there between 101 and 999, which are divisible by both 2 and 5?

In a flower bed, there are 43 rose plants in the first row, 41 in second, 39 in the third, and so on. There are 11 rose plants in the last row. How many rows are there in the flower bed?