Page 20 - GMAT 2017b_Neatb

Quantitative Reasoning Test 1

104. A clock strikes 4 taking 9 seconds. In order to strike 12 ( C) 63
at the same rate, the time taken is 64
(A) 27 seconds (D) 1
(B) 36 seconds 12
( C) 30 seconds
(D) 33 seconds 111. The probability that a student is not a swimmer is
1/5th. Then the probability that out of the five
105.How often are the hands of a clock at right angle students, four are swimmers, is
2
everyday? (A) C 4 1
5
(A) 38 times 4 ( ( ( (
(B) 44 times 5 5
4
( ( (
( C) 40 times (B) 4 1 (
(D) 48 times 5 5
5 4
( C) C 1 4
1
106.The probability of raining on day 1 is 0.2 and on day 2 is ( ( ( (
0.3 What is the probability of raining on both days? 5 5
(A) 0.2 (D) None of these
(B) 0.1
112.A set A is containing n elements. A subset P of A is
( C) 0.06
(D) 0.25 chosen at random. The set is reconstructed by
replacing the elements of P. A subset of A is again
chosen at random. The probability that P and Q have
107.A bag contains 5 red balls and 8 blue balls. It also
contains 4 green and 7 black balls. If a ball is drawn at no common elements is
random, then find the probability that it is not green. (A) 5 n
(A) 5/6 (B) 3 n
(B) 1/4 ( (
4
( C) 1/6 n
(D) 7/4 ( C) 3 ( (
5
108.A bag contains 2 red, 3 green and 2 blue balls. 2 balls are (D) 2 n
to be drawn randomly. What is the probability that the
balls drawn contain no blue ball? 113.If events A and B are independent and P(A) = 0.15,
5
(A) P(A È B) = 0.45, then P(B)
7 6
10 (A)
(B) 10
21 6
2 (B)
( C) 17
7 6
11 ( C)
(D) 19
21 6
(D)
23
7
109.If the probability that A will live 15 years is and that B
8 114.One hundred identical coins each with probability p of
9
will live 15 years is , then what is the probability that showing up heads are tossed. If 0 < p < 1 and the
10 probability of heads showing on 50 coins is equal to
both will live after 15 years? that of heads on 51 coins; then the value of p is
1 1
(A) (A)
20 2
63 49
(B) (B)
80 101
1 50
( C) ( C)
5 101
(D) None of these 51
(D)
101
110.Suppose six coins are flipped. Then the probability of
getting a least one tail is
71 53
(A) (B)
72 54
10