Q.1
The least perfect square number divisible by 3, 4, 5, 6 and 8 is = ?
Q.2
The least number by which 294 must be multiplied to make it a perfect square, is = ?
Q.3
If $$\sqrt {33} = 5.745{\text{,}}$$   then which of the following values is approximately $$\sqrt {\frac{3}{{11}}} {\text{ ?}}$$
Q.4
If $$a = \frac{{\sqrt 3 }}{2}{\text{,}}$$   then $$\sqrt {1 + a} + \sqrt {1 - a} = ?$$
Q.5
What is $$\frac{{5 + \sqrt {10} }}{{5\sqrt 5 - 2\sqrt {20} - \sqrt {32} + \sqrt {50} }}$$      equal to ?
Q.6
Which smallest number must be added to 710 so that the sum is a perfect cube ?
Q.7
Solved $$\root 4 \of {{{\left( {625} \right)}^3}} = ?$$
Q.8
The square root of $$\frac{{{{\left( {0.75} \right)}^3}}}{{1 - 0.75}}$$ $${\text{ + }}$$$$\left[ {0.75 + {{\left( {0.75} \right)}^2} + 1} \right]$$    is = ?
Q.9
If $$\sqrt y = 4x{\text{,}}$$   then $$\frac{{{x^2}}}{y}$$  is = ?
Q.10
$$9{x^2} + 25 - 30x$$    can be expressed as the square of = ?
Q.11
The value of $${\text{ }}\root 3 \of {\frac{{0.2 \times 0.2 \times 0.2 + 0.04 \times 0.04 \times 0.04}}{{0.4 \times 0.4 \times 0.4 + 0.08 \times 0.08 \times 0.08}}} $$        is ?
Q.12
If $${\text{ }}2*3 = \sqrt {13} $$   and 3 * 4 = 5, then the value of 5 * 12 is ?
Q.13
Given $$\sqrt 5 = 2.2361,$$   $$\sqrt 3 = 1.7321{\text{,}}$$   then $$\frac{1}{{\sqrt 5 - \sqrt 3 }}$$   is equal to ?
Q.14
The number of trees in each row of a garden is equal to the total number of rows in the garden. After 111 trees have been uprooted in a storm, there remain 10914 trees in the garden. The number of rows of trees in the garden is = ?
Q.15
$$\root 3 \of {\sqrt {0.000064} } = ?$$
Q.16
1250 oranges were distributed among a group of girls of a class. Each girl got twice as many oranges as the number of girls in that group. The number of girls in the group was = ?
Q.17
$$\left( {\frac{{2 + \sqrt 3 }}{{2 - \sqrt 3 }} + \frac{{2 - \sqrt 3 }}{{2 + \sqrt 3 }} + \frac{{\sqrt 3 - 1}}{{\sqrt 3 + 1}}} \right)$$      simplifies to = ?
Q.18
If $$x = 3 + \sqrt 8 ,$$   then $${x^2} + \frac{1}{{{x^2}}}$$  is equal to = ?
Q.19
What is the least number which should be subtracted 0.000326 in order to make it a perfect square = ?
Q.20
Value of $$\sqrt {0.01} \times \root 3 \of {0.008} - 0.02$$     is = ?
Q.21
$$\frac{1}{{\left( {\sqrt 9 - \sqrt 8 } \right)}} \, - $$   $$\frac{1}{{\left( {\sqrt 8 - \sqrt 7 } \right)}} \, + $$   $$\frac{1}{{\left( {\sqrt 7 - \sqrt 6 } \right)}} \, - $$   $$\frac{1}{{\left( {\sqrt 6 - \sqrt 5 } \right)}} \, + $$   $$\frac{1}{{\left( {\sqrt 5 - \sqrt 4 } \right)}}$$   is equal to ?
Q.22
Determined the value of $$\frac{1}{{\sqrt 1 + \sqrt 2 }}{\text{ + }}$$  $$\frac{1}{{\sqrt 2 + \sqrt 3 }}\, + $$   $$\frac{1}{{\sqrt 3 + \sqrt 4 }}\, + $$   $$...... + $$   $$\frac{1}{{\sqrt {120} + \sqrt {121} }}{\text{ = ?}}$$
Q.23
A mobile company offered to pay the Indian Cricket Team as much money per run scored by the side as the total number it gets in a one-dayer against Australia. Which one of the following cannot be the total amount to be spent by the company in this deal ?
Q.24
$$1728 \div \root 3 \of {262144} \, \times \,?\, - 288$$      = 4491
Q.25
If $$a = \frac{{\sqrt 3 + \sqrt 2 }}{{\sqrt 3 - \sqrt 2 }},$$   $$b = \frac{{\sqrt 3 - \sqrt 2 }}{{\sqrt 3 + \sqrt 2 }}$$   then the value of $${a^2} + {b^2}$$   would be = ?
Q.26
If $$a = \frac{{\sqrt 5 + 1}}{{\sqrt 5 - 1}}$$   and $$b = \frac{{\sqrt 5 - 1}}{{\sqrt 5 + 1}}, $$   the value of $$\left( {\frac{{{a^2} + ab + {b^2}}}{{{a^2} - ab + {b^2}}}} \right)$$   is ?
Q.27
What is the least number to be added to 7700 to make it a perfect square ?
Q.28
The smallest number to be added to 680621 to make the sum a perfect square is = ?
Q.29
The value of $$\frac{{1 + \sqrt {0.01} }}{{1 - \sqrt {0.1} }}$$   is close to = ?
Q.30
The square root of 535.9225 is = ?
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