Q1. Is 194 a term of sequence 3,8,13,-------- .

(a) Yes (b) No (c) Can't say

Q2. If sinθ + sin²θ = 1, then cos²θ + cos⁴θ =

(a) 2 (b) 1 (c) 3 (d) 4

Q3. A boy contains 12 balls out of which y are white balls. If 3 more white balls are but in the bag, the probabilityof drawing a white ball will be double than earlier . find y.

(a) 4 (b) 3 (c) 2 (d) 1

Q4. The side of a square is 20 cm. Find the area of circum scribed circle .

(a) 400 cm² (b) 498 cm² (c) 500 cm² (d) 628 cm²

Solution.
Diameter of the circumscribed circle = Diagonal of the square



AC = 2r = a√2(a = side of square)

2r = 20√2

r = 10√2

= π r² = 3.14 x 100 x 2

= 3.14 x 200

= 6.28 x 100

= 628 cm²

Q5. Find the value of k, if the points A(3,-4) B(8,1) and C(2,k) are collinear if 1/a + 1/b = __________

(a) 3 (b) 2 (c) 5 (d) -5

Q6. P and Q are the mid - points of the sides CA and CB respectively of a triangle of ABC, right angled at C. AB = 5 cm, AC = 4 cm and BC = 3 cm. find AQ


(a) (√74)/4 (b) 2 (c) 4 (d) √14

Q7. The volume of a pyramid of base area 25 m² and height is 36 m.

(a) 250 m² (b) 100 m² (c) 300 m² (d) 200 m²

Q8. √

x / y

+ √

y / x

=

6 / 5

, find xy .

(a) 6 (b) 25 (c) 36 (d) 5

Q9. Formula of perimeter of a semi-circle having radius r.

(a) πr (b) 2r (c) 2πr (d) πr + 2r

Q10. Ratio of the lateral surface area of two cubes is 16:36. find the ratios of their sides ?

(a) 1:2 (b) 4:3 (c) 6:7 (d) 4:6