Let A = {1, 2, 3, 4, 5, 6}. Insert the appropriate symbol ∈or ∉ in the blank spaces:
(i) 5__A
(ii) 8__A
(iii) 0__A
(iv) 4__A
(v) 2__A
(vi) 10__A

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

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

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.

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

The difference between any two consecutive interior angles of a polygon is 5°. If the smallest angle is 120°, find the number of the sides of the polygon.

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

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

If the first and the nth term of a G.P. are a ad b, respectively, and if P is the product of n terms, prove that P² = (ab)ⁿ.

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

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

If A.M. and G.M. of roots of a quadratic equation are 8 and 5, respectively, then obtain the quadratic equation.

Name the octants in which the following points lie:

(1, 2, 3), (4, –2, 3), (4, –2, –5), (4, 2, –5), (–4, 2, –5), (–4, 2, 5), (–3, –1, 6), (2, –4, –7)

Find the value of n so that  may be the geometric mean between a and b.

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

Find the sum to n terms of the series 

The 5th, 8th and 11th terms of a G.P. are p, q and s, respectively. Show that q² = ps.

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

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.