$\sqrt {21 - 8{\sqrt 5}}$ = $\sqrt 5$a - b, then find the value of a + b.

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2 .

If $a^ 3$ - $b^ 3$ = 45 and a- b= 3, then find the value of $a^ 2$ + $b^ 2$

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3 .

A can do a piece of work in 16 days while B can do it in 20 days. With the help of C, they together can finish the work in 4 days. If they are paid Rs. 800 for the whole work, how much money is received by B?

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4 .

The ratio of monthly incomes of A and B is 5 : 6 and their monthly expenditures in ratio of 2 : 3. If each of them saves Rs. 330 per month. Find the sum of their monthly income.

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5 .

Chiku and Deepti are working on an assignment. Chiku takes 7 hrs to types 35 pages on a computer, while Deepti takes 9 hrs to type 54 pages. How much time will they take working together on two different computers to type an assignment of 88 pages.

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6 .

A quadril ateral , whose vertices have co-ordinates (1, 0), (3, 4), (5, 4) and (3, 0) respectively, is

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7 .

If the area of a trapezium is 209 sq. m and the length of its parallel sides are 13 m and 9 m respectively, then the distance between parallel sides is

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8 .

The number of sides in a regular polygon is 12. The value of its each interior angle is

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9 .

PAB is a secant line of a circle and PT is a tangent drawn from an exterior point to the circle. If PA = 4 cm and PT = 8 cm, then AB is

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10 .

PR is a tangent a at point Q on a circle, in which O is the centre and its radius is 8 cm. If OR = 16 cm and OP = 10 cm, then the length of PR is

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