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1 If the total number of students in the class is 13 , how many students have only one book each?a.2b.1c.3d.0

2 X and Y are real numbers and |X+Y|=100. what is the maximum value of |X| + |Y| ?a.100b. 200c.10000d.None

3 For how many real values of y , does the equation x2+yx+2y2 = 0 have real roots for x ?a.One onlyb.Two onlyc.Infintely manyd.None

4 If the roots of the equation x3 + ax2 + bx + c= 0 are in GP , thena. a=b+cb.a3=b3cc.b3=a3cd.c3=b3a

5 if X= a/(4 + a +a2 ) where a ?0 and real , what is the value of Xmax - Xmin ?a.9/21b.16/21c.14/21d.18/21

6 If V1=1 and Vn = Vn-1 + (1/Vn-1) , where n is a positive integer greater than 1 , what is value of V5?a.29/10b.2c.941/290d.none

7 The smallest positive integer X with 24 divisors isa.480b.420c.864d.none

8 The number of ways of distributing 12 identical toys among 4 children so that every child gets as least one and no child get more than 3 isa.85b.25c.42d.1

9 If a,b and c are natural numbers such that a2= bc2 , then it follows that 1.a is divisible by b 2.a is divisible by c2 3.a is divisible by ca.All threeb.only 1 & 2c.only 3d.only 2 & 3

10 If A=17/(x+y) and B =17(X+Y) and if A and B are both positive , then A + B isa.always less than 8.5b.always between 8.5 and 34c.always greater than or equal to 34d.always between 17 and 34

11 Let A be the set of integers { 1, 11 , 21 , 31 , 41....531 , 541, 551} and X be a subset of A such that no two elements of X add up to 552 . The maximum possible number of elements in X isa. 26b. 27c. 28d. 29

12 5 coins are tossed. If two of them show heads , then the probability that all 5 coins show head isa.1/32b.1/10c.1/26d.1/13

13 IF S = 1 + 1/9 + 1/25 + 1/49 + 1/81 + 1/121 +. . . , then what is the value of 1 + 1/4 + 1/9 + 1/16 + 1/25 + . . . .a.3S/2b. 4S/3c. 4/3(S-1)d. 3/2(S-1)

14 if a+b+c=0 , then one of the roots of the equation ax2-bx+c=0 isa.-c/ab.c/ac.(b-a)/ad.b/a

15 The remainder when 340 is divided by 16 isa.1b.2c.8d.15

16 A clock always shows dates from 1 to 31 . if the clock shows the correct date on october 9, 1995 and the date always changes at midnight , then which day the clock would show on Nov23 , 2003 ?a.22b.31c.21d.30

17 IF a , b and C are all even positive integers , then how many solutions are there of a+b+c=36 ?a.136b.595c.190d.703

18 ections for Questions 28 o 29. Thee-digit number "XYZ" is a perfect square and the number of factors it has is also a perfect square. 28.if (X + Y + Z) is also a perfect square , what is the number of factors of the six-digit number "XYZXYZ" ?

19 If the cube of product of the digits of the number "XYZ" is not divisible by 5 , what is the number of factors of the six-digit numbers , "XYZXYZ" ?a.32b.72c.48d.cant be determined

20 If 6 students have 3 or 4 books each and 4 students have 5 or 6 books each, how many students have 2 books each?a.2b.0c.3d.None

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