1. What is the area of the triangle formed by the Points (–5, 7), (4, –1) and (4, –1)? (4)
- 1. 255
- 2. 362
- 3. 162
- 4. None of these
2. Find the remainder when f (x) = 27x³ – 45x² + 9x + 12 is divided by g(x) = x – 1/3 (2)
- 1. 3
- 2. 11
- 3. –12
- 4. 14
3. B and C are equally efficient, but the efficiency of A is half of each B and C. A and B started a work and 3 days later C joined them. If A alone can do the work in 14 days, then in how many more days the work will be completed? (1)
- 1. 1
- 2. 2
- 3. 3
- 4. 4.5
4. The traffic lights at three different road crossings change after 24 s, 36 s and 54 s, respectively. If they all change simultaneously at 10 : 15 : 00 am, then at what time will they again change simultaneously? (2)
- 1. 10 : 16 : 54 am
- 2. 10 : 18 : 36 am
- 3. 10 : 17 : 02 am
- 4. 10 : 22 : 12 am
5. 1/(5×9)+1/(9×13)+1/(13×17)+ . . . . . . . . 1/(61×65)= ? (2)
- 1. 4/45
- 2. 3/65
- 3. 2/35
- 4. 3/35