(Ans). (B)
(Question). A fair coin is tossed repeatedly. If head appears on the first four tosses, then the probability of appearance of tail on the fifth toss is.
Options:
(A) 1/7
(B) 1/2
(C) 3/7
(D) 2/3
(E) 1/3
(CoT). Since the coin is a fair coin, every toss is independent of any other toss. Hence, the probability of appearance of tail on the fifth toss is = 1/2

(Ans). (E)
(Question). Find the value of m from (12)^3 x 6^4 432 = m?
Options:
(A) 2346
(B) 3546
(C) 4566
(D) 3455
(E) 5184
(CoT). Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62

(Ans). (A)
(Question). A 70 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?
Options:
(A) 20 cm
(B) 15 cm
(C) 30 cm
(D) 40 cm
(E) 45 cm
(CoT). 1: 2/5 = 5: 2
2/7 * 70 = 20

(Ans). (E)
(Question).
Find the value of y from given equation: (12)^3 x 6^4 432 = y?
Options:
(A) 2568
(B) 3468
(C) 4500
(D) 4876
(E) 5184
(CoT). Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62