Selecting Consecutive Terms in A.P

Q.

What least number must be added to each of the numbers 6, 15, 20 and 43 to make them proportional.

1. 5

2. 7

3. 8

4. 3

Q.

Question 19

$(-43)\times (-99)+43$ is equal to

(a) 4300
(b) -4300
(c) 4257
(d) -4214

Q.

Give four pairs of prime numbers whose difference is $4$ .

Q.

Find the multiples of $5$ between $32$and $62$

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. 2^1/3

2. 2^1/2

3. 2^2/3

4. 2^3/2

Q. One of the roots of the equation $(x+\frac{1}{a}{)}^2-b^2=0$ is:

1. $-a+b$
2. $-b-\frac{1}{a}$
3. $b+\frac{1}{a}$
4. $-ba$

Q.

Find the roots of the equation $x-5=0$.

1. 0

2. Not defined.

3. -5

4. 5

Q.

For an A.P, first term a = 5 and Common difference d = 3. Find the sum of first 8 terms.___

Q.

What is the sum of integers from $1to100$divisible by$2or5$?

Q.

$Inthestandardformofanequation,a{x}^2+bx+c=0,bothrootsoftheequationare0if$

1. b = 0

2. b = c = 0

3. a = 0

4. c = 0

Q.

Find the roots of the equation, $x-5=0$

1. 5

2. -5

3. 0

4. Not defined.

Q. The value of sin69°45' - sin15°40' is .

1. 0.8311
2. 0.2223
3. 0.6683

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. 
2. 
3. 
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. None

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

Q. The condition that $f\left(x\right)=x^3+a{x}^2+bx+c$ is an increasing function for all values of ${}^{\prime }{x}^{\prime }$ is

1. $a^2<12b$
2. $a^2<3b$
3. $a^3<4b$
4. $a^2<16b$

Q. Under root 11 - under root 7 divided by under root 11 + under root 7. Rationalise it

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. Simplify $3a^2(5a^2-3a-24)$ and also find its value for

(i) a = 1 (ii) a = 2.

(4 marks)

Q. The value of angle B will be in the given figure, if
$\angle A={50}^o\angle C={60}^o$

1. ${60}^o$
2. ${50}^o$
3. ${70}^o$
4. ${80}^o$