Substitution

Q. A sum of rupees 3000 is to be given in the form of 63 prizes if the prize money is either rupees hundred or rupees 25 find the number of prices of each type question mark

Q. If x=5-root24, then find the value of 10 (x square+1/x square)-97(x+1/x)-10

Q. In the given figure, if $\frac{y}{x}=5and\frac{z}{x}=4$ , then the value of $x$ is ${12}^{\circ }$.

1. 
2. 

Q.

In a magic square each row, column and diagonal have the same sum. Check which of the following is a magic square.

5	− 1	− 4			1	− 10	0
− 5	− 2	7			− 4	− 3	− 2
0	3	− 3			− 6	4	− 7
(i)					(ii)

Q. Sum of 2 numbers is 56.one number is 8 more than the other number.set up an equation for the following.

Q.

If $x,y\mathrm{and}z$ are three positive real numbers, then minimum values of $\frac{y+z}{x}+\frac{z+x}{y}+\frac{x+y}{z}$ is:

1. $1$

2. $2$

3. $3$

4. $6$

Q. A sum of Rs 500 is in the form of denomination of Rs 5 and Rs10. If the total number of notes is 90, find the number of notes of each type.

Q. If the sum and the difference of two numbers are 25 and 13 respectively. Find the numbers.

1. 12 and 13
2. 19 and 6
3. 17 and 8
4. 15 and 10

Q. A person has ₹ 960 in denominations of ₹ 1, ₹ 5 and ₹ 10 notes. The number of notes in each denomination is equal. What is the total number of notes?

Q. X minus one by X equal to 4 find x square + 1 by x square

Q.

The sum of 2 numbers is 80 and the greater number exceeds twice the smaller number by 11. Find the number

Q. Two parts of a number are such that one is half the other. The sum of the two parts is 8 more than their difference. What are the parts and what is the number?

Q.

Sum of 3 and twice of a number is 15. The linear equation for the statement is

1. 2x + 3 = 15

2. 3x + 2 = 15

3. 2x + 3 = 10

4. 2x + 15 = 3

Q. Choose the right answers from the options given for each of the following questions.
The difference of the squares, (61² – 51² ) is equal to .................. .
(i) 1120
(ii) 1230
(iii) 1240
(iv) 1250

Q.

In a “magic square”, the sum of the numbers in each row, in each column and along the diagonal is the same. Is this a magic square?

			(Along the first row )

Q.

Sum of digits of a two digit number is 9.If 27 is added to the number, the digits of the original number get interchanged.Find the original number.

Q. What should be the the value A if the value of 2x square +x-a equals to 5 , when x =0

Q.

The sum of two integers is -56 and their quotient is 7. Find the numbers.

Q.

Add the following expressions using both the horizontal method and column method:

$\frac{3}{2}p-\frac{1}{2}q+r$ and $-2p+4q-\frac{3}{2}r$

Q.

The sum of two numbers is 11 and their difference is 4. Then the two numbers

1. $8\frac{1}{2}$ and $4\frac{1}{2}$.

2. $7\frac{1}{2}$ and $3\frac{1}{2}$

3. $6\frac{1}{2}$ and $2\frac{1}{2}$.

4. $8\frac{1}{2}$ and $2\frac{1}{2}$.

Q.

Find the square of the following numbers using the formula:

(a − b)² = a² − 2ab + b²

Q.

How to do BODMAS

Q.

a-[b-{a-(b-1)+3a }]

Q.

Find the squares of the following numbers using the formula.

(a + b)² = a² + 2ab + b²

Q. Sum of two number is 9 and sum of their fourth power is 2417, what is the sum of squares of the number?

Q. Mark (✓) against the correct answer
The ages of A and B are in the ratio 3 : 8. Six years hence, their ages will be in the ratio 4 : 9. The present age of A is

(a) 18 years
(b) 15 years
(c) 12 years
(d) 21 years

Q. ntsolve:-n nt(2+i)x square + (i-5)x - 2(i-1)=0n ntn

Q. Simply 107*93 by expressing these as a difference of two squares

Q. Mark (✓) against the correct answer
The ages of A and B are in the ratio 5 : 2. After 5 years, their ages will be in the ratio 15 : 7. The present age of A is

(a) 48 years
(b) 36 years
(c) 40 years
(d) 35 years

Q. Laxmi's father's age is 5 times her age. After 5 years his age is 3 times her age . Find their ages