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1 Triangle ABC is an acute angled triangle. A transversal intersects the side BC produced at D and AC and AB at points E and F respectively Then (BD / DC) * (CE/EA) * (AF/FB) = ?a.1/3b.1/2c.2/5d.1

2 N= 11 * 22 * 33 * . . . . . . . . . . .5050 Find the number of Zeroes at the end of Na.1050b.350c.275d.300

3 A and B complete a piece of work in 16 days . They work together for 9 days . Then , B quits and A completes the remaining work in 14 days . Had A and C worked together after B left they would have taken 7 days less than A alone to do the remaining piece work. Find the time taken by C to complete the work.a.26b.32c.41d.43

4 if f(x) = log10X , then f(10n /y) = ?a.1 - n f(y)b.n * f(y)c.n - f(y)d.1- n/f(y)

5 Three pipes are made of different shapes . The cross-sections of the pipes are an equilateral triangle . A hexagon and a circle. The perimeter of each of these cross- sections is equal . Flow through the pipes is proportional to the area of cross-section . If it takes 8 minutes for the triangular pipe to fill up the tank , what will be the difference in the times taken by the hexagonal and circular pipesa. 53 secondsb. 1 minute 14 secondsc. 30 secondsd. None

6 which of the following doesnot divide 54n - 32n if H.C.F(n,4) = 2.a. 317b. 13c. 11d. 7

7 There are four machines that makes gears for a factory . The fastest machine can make one gear in two hours . The slowest machine makes one gear in 3 hours . which of the following cannot be the value of the average time taken by each to make a gear ?a. 2.2 hoursb. 2.3 hoursc. 2.6 hoursd. 2.68 hours

8 rections for Questions 8 & 9. Ramesh has five weights a ,b ,c ,d and e in increasing order with him which form a geometric series. Using a and b he can weigh a maximum of 4kgs and using d and e he can weigh a maximum of 108 kgs. 8. What is the minimum number of weights he requires to weigh 19kgs?a.2b.3c.4d.None

9 To weigh 41kgs , what is the maximum number of weights that he should use ?a.3b.4c.5d.less than 3

10 if f(x) = x2 + 4x + 4 and g(x)= x2 + 4x+ 3, then Find x such that f(g(x)) = g(f(x))a.x3b.x2c.x4d. All of these

11 Concentric circles of radii 1,2 ,3 . . . . 100 are drawn . The innermost circle of radius 1 is painted green , then the next ring is painted red and so on . Then, the ratio of the green area to the red area isa.1/2b.98/103c.99/101d.1/3

12 How many values of n are possible such that 28 + 211 + 2n is a perfect square ?a.0b.1c.2d.none

13 Four equally efficient men working together all day finish a piece of work in11 days but two of them have other engagements and can work only half time and quarter time respectively. How long will it take for them to complete the worka.14 daysb.16 daysc.21 daysd.15 days

14 Consider the non decreasing sequence of positive integers 1 , 2 , 2 , 3 , 3, 3 . . . . In which nth positive number appears n times. Find the remainder when the 2000th term is divisible by 5.a. 1b. 2c. 3d. 4

15 The last digit of 31129 isa. 3b. 4c. 1d. 2

16 1/4th of the total number of girls in a class are blue eyed . If 1/3rd of the boys in the class are black eyed which is equal to the total number of girls , find the ration of blue eyed students to black eyed students in the class.?(All the students in the class are either black eyed or blue eyed)a. 9:7b. 7:9c. 5:7d. 7:5

17 The smallest positive integer which can be expressed as a sum of two different cubes in two different ways is:a.1000b.729c.1729d.1728

18 273 - 272 - 271 is the same asa.269b.270c.271d.272

19 ections for Questions 19 to 20. Ram has five boxes of different weights having integer values , between 57 and 100 kg . But he cannot weigh these boxes as all the available weights are more than 100 kg. So , he weighs all the possible pairs of boxes and gets 10 weifhts as 110 , 112 , 113 , 114 , 115 , 116 , 117 , 118 , 120 and 121 kg 19. What is the minimum weight of a box ?a.50 kgb.54 kgc.56 kgd.58 kg

20 What is the maximum weight of a box ?a. 60 kgb. 61 kgc. 62 kgd. 63 kg < c

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