Question numbers 1 to 10 are multiple choice questions of 1 mark each.
Select the correct choice.
1. What is the largest number that divides 245 and 1029, leaving remainder 5 in each ?
3. If the two tangents inclined at an angle of 60º are drawn to a circle of radius 3 cm, then the length of each tangent is :
(a) 3 cm
(b) 3 √3/2 cm
(c) 3√3 cm
(d) 6 cm
4. The simplest form of 1095 /1168 is
(a) 17 /26
(b) 25 /26
(c) 13 / 16
(d) 15 / 16
5. One card is drawn at random from a well – shuffled deck of 52 cards. What is the probability of getting a Jack ?
(a) 3 / 26
(b) 1 /52
(c) 1 /13
(d) 3 / 52
6. If one zero of the quadratic polynomial, (k – 1) x2 + kx + 1 is –4 then the value of k is
(a) –5 / 4
(b) 5 / 4
(c) –4 / 3
(d) 4/ 3
7. Which of the following rational numbers is expressible as a terminating decimal ?
(a) 124 /165
(b) 131 / 30
(c) 2027 / 625
(d) 1625 / 462
8. If α and β are the zeros of (2x2 + 5x – 9), then the value of α β is
(a) –5 / 2
(b) 5 / 2
(c) –9 / 2
(d) 9 / 2
9. The perimeter of a triangle with vertices (0, 4), (0, 0) and (3, 0) is
(a) 7 + √5
(b) 5
(c) 10
(d) 12