1. A box contains cards numbered 6 to 50. A card is drawn at random from the box. The probability that the drawn card has a number which is a perfect square like 4,9….is

(a) 1/45

(b) 2/15

(c) 4/45

(d) 1/9

2. In a circle of diameter 42cm ,if an arc subtends an angle of 60 ˚ at the centre where ∏=22/7,then the length of the arc is

(a) 22/7 cm

(c) 22 cm

(d) 44 cm

(b) 11cm

3. If sinƟ = x and secƟ = y , then tanƟ is

(a) xy

(b) x/y

(c) y/x

(d) 1/xy

(a) One solution

(b) Two solutions

(c) Infinitely many solutions

(d) No solution

(a) 0

(b) `1/3`

(c) `3/4`

(d) 1

6. 8 chairs and 5 tables cost Rs.10500, while 5 chairs and 3 tables cost Rs.6450. The cost of each chair will be

(a) Rs. 750

(b) Rs.600

(c) Rs. 850

(d) Rs. 900

(a) -1

(b) 0

(c) 1

(d) 2

(a) Terminating

(b) Non-terminating

(c) Non-terminating and repeating

(d) Non-terminating and non-repeating

(a) `2^{3}`

(b) `3^{3}`

(c) `2^{3}\times 3^{3}`

(d) `2^{2}\times 3^{2}`

(a) 420

(b) 600

(c) 720

(d) 800

(a) x = `\frac{"a + b"}{"ay"}`

(b) y = `\frac{"ax"}{"a + b"}`

(c) x = `\frac{"ay"}{"a + b"}`

(a) (2,4)

(b) (4,6)

(c) (4,2)

(d) (3,5)

13. The prime factorisation of 3825 is

(b) `3^{2}\times 5^{2}\times35`

(c) `3^{2}\times 5^{2}\times3517`

(d) `3^{2} 25 \times3517`

14. In the figure given below, AD=4cm,BD=3cm and CB=12 cm, then cotƟ equals

(b) 5/12

(c) 4/3

(a) X=10,y=2

(b) X=12,y=8

(c) X=2,y=10

(d) X=20,y=0

16. In an isosceles triangle ABC, if AC=BC and `"AB"^{2}`=`"2AC"^{2}` , then the measure of angle C will be

(a) 30˚

(b) 45˚

(c) 60˚

(a) -8

(b) -7

(c) 1

(d) 8

(a) 1/6

(b) 1/3

(c) 1/2

(d) 5/6