Data Sufficiency(1) Is x = - 5? A. 25 = x2 B. x = |x|(2) Is x > y? A. x + y = 2 B. x / y = 2(3) Is the integer k odd or even? A. k2 is odd B. 2k is even(4) Is x > y? A. 3x = 3k B. k = y2(5) Is 1/x > 1/y? A. x > 1 B. x < y(6) Is 2a > 3b; a,b > 0? A. a > 2b B. a >= b + 3(7) 100,000 people are eligible to vote. How many of them voted?A. 68% of eligible men voted B. 73% of eligible women voted(8) Is X divisible by 9? A. X is divisible by 3 B. X is divisible by 27(9)What is the 2 digit number ab? It is > 9A. 2a + 3b = 11a + 2b B. The 2 digit number is a multiple of 19(10) Is a+b+c multiple of 8? 0 < Integers a, b, c Perimeter of EFGH B. AC > EG(13) ABCD is a square. BCO is a semi-circle. What is the area of ABOCD?A. AC = 42 B. Radius of BOC is 2(14) Do P & Q lie on the circle with center at (0,0)?A. Coordinates of P is (2,3) B. Coordinates of Q is (4,1)(15) a, b and c are angles of a triangle. Is c > 60? A. a +b > c B. a > b > c(16) On what day of the week does first August of the year X X X X fall?A. First April of that year was a Monday B. X X X X is a leap year.(17)What is Xs score in the latest test? A. X attempted 80% of the 180 questions.B. X got 60% of the attempted questions correct.(18)What is the total number of ways a six-letter word can be re arranged?A. All the letters are different B. Two of the six letters repeat(19) In how many ways can A pay for the newspaper?A. A has 3 one rupee coins and four 50 paise coins B. The newspaper costs Rs. 2(20) Does X gain or lose? A. X es the cost by 10 and gives a discount of 10%.B. X es the cost by 10% and allows a discount of 10%.(21) x, y & z are real numbers. Is x2 + y2 + z2 > 3?A. x + y + z = 3 B. x y z(22)What is x equal to? f(g(x)) = 9. A. f(x) = x2 B. g(x) = 1/2x(23) How many possible values can (x - y) assume, if x and y are integers?A. 2 < x < 5 B. 3 < y < 6(24) Is (a / b) > (a+c) / (b+c) A. a > c and c < b B. c > 0(25) Are there 53 Wednesdays & Thursdays in this year?A. January 1st of the year was a WednesdayB. The last two digits of the year (XXXX) is a multiple of 4.(26) Find the area of a regular hexagon A. Its perimeter is 36cmB. The area (hexagon) is 6 times the area (an equilateral triangle) formed on one of thesides(27) If a, b and c are integers, is (a-b+c) greater than (a+b-c)A. b is negative. B. c is positive.

(28)What is 2 @ 3A. a @ b is not necessarily equal to b @ a for two integers a and b, and 1 @ 2 = 3B. a @ b = (a + b)/a for a not equal to 0(29)What are values of the real numbers X and Y?A. The AM of X and Y = a and the GM of X and Y is also = a.B. (X/Y) = R and (X-Y) = D(30) Is (x y) > (r s) A. x > r and y < s B. xy < rs(31)What is the integer R in the number 25R397?A. The number is divisible by 11. B. The number is divisible by 7.(32) If a & b are both positive numbers, then which is larger, 2a or 3b?A. a > 2b B. a b + 3(33) Is k2 + k 2 > 0 A. k < 1 B. k < - 2(34) A series of numbers is A(n) = A(n-1) + 2. Is A(10) an even integer?A. A(1) is an even integer. B. The sum of the first 10 terms is even.(35) Is 1/x greater than 1/y? A. x is greater than 1. B. x is less than y.(36)What is 1000th term in sequence S? A. The fifth term in S is 47.B. Each term in S is obtained by multiplying the preceding term by 4 and adding 1.(37) a, b, c are positive numbers. Is 1/(b+c), 1/(c+a), 1/(a+b) in AP?A. a b c 0 B. a2, b2, c2 are in A.P(38)What is the sum of 3 consecutive odd integers?A. The smallest of the three is equal to the sum of the integersB. The sum of the 3 integers is < than the average of the 3(39) Is the GP an increasing one?A. The common ratio is > 0 B. The common ratio is > 1(40)What was the time when X arrived? A. The time was between 4 PM and 5PM.B. The arms of the clock were 135o apart.(41)What is the two digit number AB?A. AB is a multiple of 4. B. The sum of its digits is divisible by 9.(42) x, y and z are positive odd integers. Is x + z divisible by 4?A. y - x = 2 B. z - y = 2(43) If 2 < n < 3, is the hundreds digit of the decimal form of n equal to 9?A. n + 0.001 > 3 B. n + 0.0001 < 3(44) Three packages together weigh 48 pounds. What is the weight of the heaviestpackage?A. One weighs 12 pounds. B. One weighs 24 pounds.(45) How many soaps did the shop sell today?A. 12% of the customers in the shop today purchased it.B. The shop had 480 customers today.(46) If xy = 0, is x > y?A. 4x < 5y B. x < 0(47) Is ( x + y)2 + (x - y)2 = 130? A. x2 + y2 = 65 B. x = 7 and y = 7(48) x and y are positive integers & x/y is a decimal, is the decimal a terminatingdecimal? A. 50 < x < 70 B. y = 5