BODMAS

Q. 32 + root 48 decided
root 8 + root 12

Q.

Question 166

A mobile number consists of ten digits. First, four digits are 9, 9, 7 and 9. Make the smallest mobile number by using only one digit twice from 8, 3, 5, 6, 0.

Q.

find the missing term

4, 10, (.........), 82, 244, 730

Q.

Form the greatest and smallest numbers using the digits $5,2,9,7$ (each digit is used only once). What is the difference between the two numbers formed?

1. $6853$

2. $7173$

3. $7359$

4. $8659$

Q. The number of consecutive zeros in $2^3\times 3^4\times 5^4\times 7$, is

(a) 3

(b) 2

(c) 4

(d) 5

Q.

Find the quotient and remainder and verify the answers.

$108÷6$

Q. How many 5 digit numbers have atleast one even digit ?
options:
a)86875
b)88775
c)85625
d)87895

Q. Solve: $17+6p=9$

1. $p=\frac{-2}{3}$
2. $p=\frac{7}{3}$
3. $p=\frac{-4}{3}$
4. $p=\frac{6}{5}$

Q.

Find the difference between the smallest $6$-digit number and the greatest$5$-digit number.

Q. There are three consecutive positive integers such that the square of the middle one increased by the product of other two gives 199. Find the integers.

Q. Simplify: $\sqrt[4]{16}-6\sqrt[3]{343}+18\times \sqrt[5]{243}-\sqrt{196}$

Q.

Why anything multiplied by 0 gives us 0 only

Q. 35. What is an basic proportionality theorem

Q.

Question 43

Fill in the blanks to make the statement true.

If we multiply ___ ( even / odd )number of negative integers, then the resulting integer is positive.

Q. Simplify: $\left(\frac{4+\sqrt{5}}{4-\sqrt{5}}+\frac{4-\sqrt{5}}{4+\sqrt{5}}\right)$.

Q.

Ajit was asked to form the largest and the smallest five digit number by using digits 4, 9, 7, 2 and 1 without repeating the digits. What's the difference between the largest and the smallest number formed?

1. 84942

2. 88888

3. 83932

4. 84932

Q. Simplify each of the following:

(i) $\sqrt[3]{4}\times \sqrt[3]{16}$

(ii) $\frac{\sqrt[4]{1250}}{\sqrt[4]{2}}$

Q. Half of a number is added to 1818 then the sum is $46$. The number is

1. $92$
2. $56$
3. $65$
4. $0$

Q. A company has 12 employees, some of them always speak truth while others always lie. If two of them said “Exactly two employees are liars”. Another four of them said “Exactly four employees are liars” and remaining six of them said “Exactly six employees are liars”. Then how many employees in the company always speak truth?

Q. Simplify:

(i) $\left(\sqrt{3}+\frac{1}{\sqrt{3}}\right)\left(\sqrt{3}-\frac{1}{\sqrt{3}}\right)$

(ii) $\left(\sqrt[4]{6}-\sqrt[4]{5}\right)\left(\sqrt[4]{6}+\sqrt[4]{5}\right)\left(\sqrt[]{6}+\sqrt[]{5}\right)$

(iii) $\left(\sqrt{5}+\sqrt{2}\right)\left(\sqrt{5}+3\sqrt{2}\right)$

(iv) $2\sqrt{x^3}\times x\sqrt[3]{a}$

(v) $\sqrt[3]{2}\times \sqrt{5}$

(vi) $\sqrt{2}.\sqrt[3]{3}.\sqrt[4]{4}$

(vii) $\sqrt[6]{12}÷\left(\sqrt{3}\sqrt[3]{2}\right)$

(viii) $\sqrt[4]{28}÷\sqrt[3]{7}$

(ix) $6\sqrt[3]{25}÷\sqrt[2]{5}$

(x) $\sqrt[6]{256}÷\sqrt[3]{2}$

(xi) $\sqrt{x^6{y}^3}÷\sqrt[3]{x^{2}y}$

Q. Write in set builder form:(6, 12] What is the meaning of different brackets, And how to solve for different brackets?

Q. Express the following surds as pure surds.

(i) $\sqrt[4]{5}$

(ii) $\sqrt[3]{6}$

(iii) $\frac{4}{3}\sqrt{6}$

(iv) $5\sqrt[3]{5}$

(v) $2\sqrt[4]{3}$

Q. $\sqrt{10}\times \sqrt{15}$ is equal to

(a) 5$\sqrt{6}$

(b) 6$\sqrt{5}$

(c) $\sqrt{30}$

(d) $\sqrt{25}$

Q. The sum of two consecutive even numbers is $74$. Find the numbers.

Q.

divide 3 root of 145 by 3 root 15.

Q.

Ajit was asked to form the largest and the smallest five digit number by using digits 4, 9, 7, 2 and 1 without repeating the digits. What's the difference between the largest and the smallest number formed?

1. 84942

2. 88888

3. 83932

4. 84932

Q. $\sqrt{10}\times \sqrt{15}=?$
(a) $\sqrt{25}$
(b) $5\sqrt{6}$
(c) $6\sqrt{5}$
(d) none of these

Q. 10 + 6 ÷ 3 + 2 × 8 = ?

1. 28
2. 18
3. 12
4. 24

Q. The number to be subtracted is called the ____________
2. How much should be added to 4000 to get the largest 4 digit number
3. How much should be subtracted from the largest 4 digit number to get the smallest 4 digit number

Q.
The simplified form of the expression $4^{\frac{3}{2}}$ is .