1 .
$\sqrt {21 - 8{\sqrt 5}}$ = $\sqrt 5$a - b, then find the value of a + b.
A.  - 5
B.  - 3
C.  - 2
D.  5
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2 .
If $a^ 3$ - $b^ 3$ = 45 and a- b= 3, then find the value of $a^ 2$ + $b^ 2$
A.  14
B.  13
C.  11
D.  17
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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?
A.  Rs. 160
B.  Rs. 200
C.  Rs. 352
D.  Rs. 340
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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.
A.  Rs. 1200
B.  Rs. 1235
C.  Rs. 1210
D.  Rs. 1100
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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.
A.  8 hrs
B.  8 hrs 15 min
C.  8 hrs 16 min
D.  7 hrs
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6 .
A quadril ateral , whose vertices have co-ordinates (1, 0), (3, 4), (5, 4) and (3, 0) respectively, is
A.  a square
B.  a rectangle
C.  a parallelogram
D.  a rhombus
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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
A.  17 m
B.  21 m
C.  19 m
D.  23 m
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8 .
The number of sides in a regular polygon is 12. The value of its each interior angle is
A.  144°
B.  150°
C.  154°
D.  160°
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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
A.  8 cm
B.  18 cm
C.  16 cm
D.  12 cm
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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
A.  18 cm
B.  19 cm
C.  19.8 cm
D.  21.86 cm
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