Selecting consecutive terms in A.P

Q.

For an A.P, first term a = 5 and common difference d = 3. The sum of first 8 terms is ___

Q. The sum of three numbers in A.P. is -3, and their product is 8. The numbers are:

1. -4, -1, 2
2. -4, 0, 2
3. -2, 1, 4
4. -4, -2, 1

Q. If the sum of two extreme numbers of an A.P. with four terms is 8 and product of remaining two middle term is 15, then greatest number of the series will be

1. 5
2. 7
3. 9
4. 11

Q. The sides of a right angled triangle are in arithmetic progression. If the triangle has an area of 24 sq. units, then what is the length of its smallest side?___

Q.

If $a_1,a_2,\cdot \cdot \cdot ,a_{15}$ are in A.P. and $a_1+a_8+a_{15}=15$, then $a_2+a_3+a_8+a_{13}+a_{14}$ equals

1. 10

2. 25

3. 33

4. 15

Q.

Sum of integers from 1 to 100 that are divisible by 2 is a, by 5 is b and by both 2 and 5 is c. Find the sum of integers which are divisible 2 or 5.

1. a + b + c

2. a + b + 2c

3. a + b - 2c

4. a + b -c

Q.

If three positive real numbers a, b, c are in A.P. such that abc $=4$, then the minimum value of b is

1. $2^{\frac{2}{3}}$

2. $2^{\frac{1}{2}}$

3. $2^{\frac{3}{2}}$

4. $2^{\frac{1}{3}}$

Q.

The sum of integers from 1 to 100 that are divisible by 2 or 5 is

1. 3050

2. 3025

3. 3060

4. 3055

Q. If the roots of the equations $x^3-12x^2+39x-28=0$ are in A.P., then their common difference will be

1. $\pm 1$
2. $\pm 2$
3. $\pm 3$
4. $\pm 4$

Q.

The sum of each of two sets of three terms in A.P. is 15. The common difference of the first set is greater than that of the second by 1 and the ratio of the products of the terms in the first set and that of the second set is 7:8 the ratio of the smallest terms in two sets of terms is

1. $\frac{3}{4}or\frac{11}{12}$

2. $\frac{2}{3}or\frac{1}{2}$

3. $\frac{2}{3}or\frac{3}{4}$

4. None

Q.

The sum of all natural numbers which are divisible by 3 and less than 100 is

1. 1863

2. 1683

3. 1763

4. 1368