Inversion Problems (Finding the Number Given the Result)

Q.

A student multiplied 7236 by 65 instead of multiplying by 56. By how much was his answer greater than the correct answer? (Hint: Do you need to do both the multiplications?)

Q.

A rational number is such that when you multiply it by 5/2 and add 3/2 you get _7/12. What is the number?

Q.

A rational number is such that when you multiply it by 3/7 and subtract 4/7 from the product you get -4/11. Find the number .

Q. If $\frac{3}{5}$ of a number exceeds its $\frac{2}{7}$ by 44, find the number.

Q.

One-fourth of a number decreased by 4 is equal to 11. What is the number?

1. 44

2. 64

3. 40

4. 60

Q.

A number is divided by 5 and 7 is subtracted from it, the result is 17 . What is the number?

1. 110

2. 120

3. 220

4. 320

Q. 2 raised to -3 multiplied by -7 raised to 3.

Q.

If 4 is added to a number and the sum is multiplied by 3, the result is 30. Find the number.

Q.

Question 2 (ii)
Find the number of digits in the square root of each of the following numbers (without any calculation):

144

Q.

Three added to half a number gives 23. What is the number?

Q.

Question 133

Solve the following question:

Find the square root of 324 by the method of repeated subtraction.

Q.

Question 3
Find the square roots of 100 and 169 by the method of repeated subtraction.

Q.

Question 2 (i)
Find the number of digits in the square root of each of the following numbers (without any calculation):

64

Q.

A number is multiplied by 4 and 3 is subtracted from it, the result is 145. What is the number?

1. 57

2. 47

3. 37

4. 27

Q.

Question 2 (iii)
Find the number of digits in the square root of each of the following numbers (without any calculation):

4489

Q. A three digit number is a perfect square and the sum of its digits are also a perfect square then how many possibilities are there

Q.

Divide the sum of 65/12 and 12/7 by their difference.

Q.

Choose the correct answer

If five times a number increased by 8 is 53, the number is:

A. 12

B. 9

C. 11

D. 2

Q. Which of the following equations has a positive solution for $x$?

1. $3x+10=1$
2. $2+5x=17$
3. $13-2x=21$
4. $1-5x=11$

Q.

People on a tour divided the total expense of ₹ 9800 equally. Each one's share was ₹ 980. How many people were there?

1. 15

2. 25

3. 20

4. 10

Q.

The sum of a number and 2, multiplied by 3 gives 18. What is the number.

Q.

how many kilos of tea worth rs 72 per kg should be mixed with 10 kg of tea worth rs 90 per kg to produce a mixture which will cost rs 78 per kg

Q.

Solve : $5q=50$

Q.

The square root of 121 can be confirmed after repeated subtraction of the starting _______ odd numbers.

1. 8
2. 9
3. 10
4. 11

Q.

Solution of the equation 5x + $\frac{7}{2}$ = 1.5x -14 is x = 5

1. True

2. False

Q.

If 5 is subtracted from three times a number, the result is 16. Find the number.

Q. If in a code REQUEST is written as S2R52TU, then how will ACID be written in that code?

1. BDJE
2. 1D3E
3. B3J4
4. 1394

Q.

Akash has collected 14 coins and his sister has collected 32 coins. How many more coins should Akash collect to equal his sister's collection?

__

Q.

Shankar gives one quarter of his sweets to Revu and then gives another $5$ sweets to Raju. He now has $10$ sweets left. How many sweets did he have initially?

1. $20$
2. $30$
3. $15$
4. $25$

Q.

$\frac{35}{33}$ is a solution of the equation $\frac{9x}{7-6x}$ = 15

1. True

2. False