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1 Direction for question number 1 to 3 There are 100 players numbered 1 to 100 and 100 baskets numbered 1 to 100. The first player puts one ball in every basket starting from the first basket (i.e. in baskets numbered 1, 2 , 3) . The second player puts 2 balls each in every second basket starting from the second ( i.e. in baskets numbered 2,4,6. . .) The third player puts three balls each in every third basket starting from the third , and so on till the hundredth player. 1. Which basket will have the maximum number of balls?a.96b.98c.100d.none

2 How many baskets will finally have exactly twice the number of balls as the number on the basket itself?a.8b.6c.4d.2

3 In how many baskets will exactly two players put the balls?a.50b.25c.15d.None

4 The circle shown in the figure has an area of 154 sq. cm. DE + CF = AB - 4 cm. If AB is the diameter, what is the area of the quadrilateral ACBDa.35b.121c.70

5 After three successive increase , Vijay's slaray became equal to 378/125 of his intial salary. By what percentage was the salary raised the first time if the third rise was twice as high (in percentage) as the second rise and the second rise was twice as high(in percentage ) as the first rise?a. 10%b. 15%c. 20%d. 25%

6 For sending one wagon of wheat, Food Corporation of India spends Rs. 300 for a distance of 20 kilometers and Rs. 500 for 200 kilometers. Find the cost of sending a wagon through 400 kilometres, assuming that cost = a + b x distance.a. Rs.7000/9b. Rs.7500/9c. Rs.6500/9d. Rs.6000/9

7 A three digit number has an odd number as the digit in its hundred place. The difference between the hundreds digit and the units digit is 2. The sum of these two digits is equal to the middle digit but their product is less than the middle digit. The number can bea. 583b. 143c. 385d. either 1 or 3

8 At SM Institute, 40% of the students drink tea, 30% drink coffee, and 20% drink both. 5% of those who drink at least one of the two drinks and 25% of those who drink neither of the two, smoke. 18% of the smokers smoke Charminar. If SMI has 300 students, how many smoke brands other than Charminar?a.54b.46c.123d.75

9 Find the are of the triangles formed by the intersections of lines x + y - 5 = 0 and x - y + 1= 0 and x axis. (in sq. units)a.4.5b.5c.8.75d.9

10 Find the probability that the number chosen randomly from the first 1000 natural numbers is a multiple of 4 or a perfect square.a.53/200b.133/500c.281/1000d.1093/4000

11 Four friends bought a car. The first friend paid half of the sum paid by the others, the second paid one third of the sum paid by the others; the third one-quarter of what was paid by the others. If the fourth paid Rs. 13,000, then find the cost of the car.a.Rs.39,000b.Rs.52,000c.Rs.60,000d.None

12 f(x)= 2x3 + px2+ qx - 4 and f(2)=0 , find the value of p+q , where p and q are non zero. If f(x)=0 has three real roots, all of them being integers and further two of three roots are equal.a.-6b.2c.either (b) or (c)d.none

13 In a triangle PQR, PQ = 6 cms QR = 8 cms and PR = 10 cms. The length of the median bisecting the shortest side is:a.10 cmsb.8.5 cmsc.9 cmsd.None

14 How many 2-digit code numbers can be formed using the digits 1,2,3,4,0; if no number can start with a 0?a. 20b. 25c. 16d. None

15 How many 3 digit numbers can be made using at least one 2 and at least one 3 in each of them?a. 60b. 58c. 52d. 50

16 Anusha and Bipasha pick up a ball at random froma bag containing M red and N yellow coloured balls, one after the other , replacing the ball every time till one of them gets a red ball. The first one to get a red ball is declared the winner . If Anusha begins the game and the odds in favour of her winning the games are 3 to 2 , then find the ratio M : N.a. 3:1b. 1:2c. 2:3d. 3:2

17 Find the number of whole number less than 100 such that the sum of the factorials of its digit(s) is less than or equal to the numbera.16b.17c.20d.19

18 if f(x) = kx +1 ; g(x) = 3x + 2 if fog = gof , find ka.1b.3c.8d.Indetermine

19 [log x + log ( x - 15 )] / [ log 1000 - log 10] = 1. The positive root of x isa.Not solvableb.5c.20d.15

20 If a year has 360 days and all months with 30 days . what is the probability that your birthday falls on a Monday and that is an even day of an even month, if January 1 is a Monday?a. 1/30b. 13/360c. 1/28d. 11/360

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