A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second?

Find the sum of integers from 1 to 100 that are divisible by 2 or 5.

If the sum of three numbers in A.P., is 24 and their product is 440, find the numbers.

The sum of the first four terms of an A.P. is 56. The sum of the last four terms is 112. If its first term is 11, then find the number of terms.

How many terms of G.P. 3, 3², 3³, … are needed to give the sum 120?

Find the sum of all numbers between 200 and 400 which are divisible by 7.

Insert five numbers between 8 and 26 such that the resulting sequence is an A.P.

Find the sum of all two digit numbers which when divided by 4, yields 1 as remainder.

The 4th term of a G.P. is square of its second term, and the first term is –3. Determine its 7th term.

How many terms of G.P. 3, 3², 3³, … are needed to give the sum 120?

If the 4th, 10th and 16th terms of a G.P. are x, y and z, respectively. Prove that x, y, z are in G.P.

Find the sum of the products of the corresponding terms of the sequences 2, 4, 8, 16, 32 and 128, 32, 8, 2, .

Three coins are tossed once. Let A denote the event ‘three heads show”, B denote the event “two heads and one tail show”. C denote the event “three tails show” and D denote the event ‘a head shows on the first coin”. Which events are

(i) mutually exclusive? (ii) simple? (iii) compound?

For what values of x, the numbers are in G.P?

Find the sum to n terms of the series whose nth terms is given by (2n – 1)²

The sum of first three terms of a G.P. is  and their product is 1. Find the common ratio and the terms.

Find the sum to n terms of the series 3 × 1² + 5 × 2² + 7 × 3² + …

Find the sum of integers from 1 to 100 that are divisible by 2 or 5.