1. AB + CD = AAA, where AB and CD are two-digit numbers and AAA is a three digit number; A, B, C, and D are distinct positive integers. In the addition problem above, what is the value of C?
(A) 1
(B) 3
© 7
(D) 9
(E) Cannot be determined
2. A and B ran a race of 480 m. In the first heat, A gives B a head start of 48 m and beats him by 1/10 th of a minute. In the second heat, A gives B a head start of 144 m and is beaten by 1/30 th of a minute. What is B¡¯s speed in m/s?
(A) 12
(B) 14
© 16
(D) 18
(E) 20
3. The co-ordinates of the foot of the perpendicular from the point (2, 2) on the line y ¨C 2x ¨C 8 = 0 are
(A) (¨C1, 6)
(B) (¨C1, ¨C4)
© (¨C2, 10)
(D) (2, 4)
(E) (¨C2, 4)
4. A certain quantity of 40% solution is replaced with 25% solution such that the new concentration is 35%. What is the fraction of the solution that was replaced?
(A) 1/4
(B) 1/3
© 1/2
(D) 2/3
(E) 3/4
5. A person buys a share for $ 50 and sells it for $ 52 after a year. What is the total profit made by him from the share?
(I) A company pays annual dividend
(II) The rate of dividend is 25%
(A) Statement (I) ALONE is sufficient, but statement (II) alone is not sufficient
(B) Statement (II) ALONE is sufficient, but statement (I) is not sufficient
© BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient
(D) Each statement ALONE is sufficient
(E) Statements (I) and (II) TOGETHER are NOT sufficient
6. A bag contains 3 red, 4 black and 2 white balls. What is the probability of drawing a red and a white ball in two successive draws, each ball being put back after it is drawn?
(A) 2/27
(B) 1/9
© 1/3
(D) 4/27
(E) 2/9
7. What is the probability of drawing a pink ball from a box?
(I) The box contains 12 red balls and 2 black balls
(II) 6 of the 20 balls in the box are pink
(A) Statement (I) ALONE is sufficient, but statement (II) alone is not sufficient
(B) Statement (II) ALONE is sufficient, but statement (I) is not sufficient
© BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient
(D) Each statement ALONE is sufficient
(E) Statements (I) and (II) TOGETHER are NOT sufficient
Answer:
1.D 2. A 3.E 4.B 5.C 6.D 7.B