Question 5 :
The smallest number by which 686 should be divided to make it a perfect cube is<br/>
Question 6 :
The volume of a cube is 729 m<sup>3</sup>. Length of its side is<br/>
Question 8 :
The smallest number by which 192 should be multiplied to make it a perfect cube is<br/>
Question 12 :
1+ 3 + 5 + 7 + ……….. up to n terms is equal to<br/>
Question 14 :
The smallest number that should be subtracted from 300 to make it a perfect square is<br/>
Question 17 :
Volume of a rectangular box whose adjacent edges are 3x<sup>2</sup>y, 4y<sup>2</sup>z and 5z<sup>2</sup>x respectively is<br/>
Question 22 :
a(b -c) + b(c – a) + c(a – b) is equal to<br/>
Question 23 :
Degree of the polynomial 7x<sup>2</sup>yz<sup>2</sup> + 6x<sup>3</sup>y<sup>2</sup>z<sup>2</sup> – 5x + 8y is<br/>
Question 25 :
Area of a rhombus is 90 cm<sup>2</sup>. If the length of one diagonal is 10 cm then the length of other diagonal is<br/>
Question 26 :
If the lateral surface area of a cube is 100 cm<sup>2</sup>, then its volume is<br/>
Question 27 :
If the volume of a cube is 729 cm<sup>3</sup>, then its surface area is<br/>
Question 28 :
Volume of a cylinder is 1848 cm<sup>2</sup>. If the diameter of its base is 14 cm, then the height of the cylinder is<br/>
Question 29 :
If the length of a diagonal of a quadrilateral is 10 cm and lengths of the perpendiculars on it from opposite vertices are 4 cm and 6 cm, then area of quadrilateral is<br/>
Question 30 :
If the dimensions of a rectangular room are 10m × 12m × 9m, then the cost of painting its four walls at the rate of ₹8 per m<sup>2</sup> is<br/>
Question 31 :
If {tex} (\frac {12}{13}) ^ {4} \times (\frac {13}{12}) ^ {-8} = (\frac {12}{13}) ^ {2x} {/tex}, then the value of x is