Page 29 - GMAT 2017b_Neatb

Quantitative Reasoning Test 2

92. If the hands of a clock coincides every 65 minutes 99. If the probability that A will live 15 years is 7 and that
(true time), in 24 hrs the clock will gain 8
10 9
(A) 10 min B will live 15 years is , then what is the probability
143 10
12 that both will live after 15 years
(B) 9 min
143 (A) 1 (B) 63
12 20 80
( C) 11 min
143 ( C) 1 (D) None of these
(D) 12 10 min 5
143
100.Four different objects 1, 2, 3, 4 are distributed at
93. The watch which gains uniformly is 2 minutes slow at random in four places marked 1, 2, 3, 4. What is the
noon on Sunday and is 4 minutes 48 seconds fast at probability that none of the objects occupy the place
2 p.m. on the following Sunday. corresponding to its number?
The watch was correct at (A) 17/24
(A) 2 p.m. on Tuesday (B) 3/8
(B) 12 noon on Monday ( C) ½
( C) 1.30 p.m. on Tuesday (D) 5/8
(D) 12.45 p.m. on Monday
101.Three students try to solve a problem independently
94. A watch which gains uniformly is 6 minutes slow at with a probability of solving it as 1/3, 2/5, 5/12
2 respectively? What is the probability that the problem
4 p.m. on a Sunday and 10 minutes fast on the
3 is solved?
following Sunday at 8 p.m. During this period (Day and (A) 1/18
Time) when was the watch correct? (B) 12/30
(A) 2.36 a.m. ( C) 23/30
(B) 1.36 a.m. (D) ½
( C) 2.36 p.m.
(D) 1.36 p.m. 102.If the probability of rain on any given day in Lagos
city is 50%, then what is probability that it rains on
95. If a clock takes 22 seconds to strike 12, how much time exactly 3 days in a 5-day period?
will it take to strike 6? (A) 8/125
(A) 10 seconds (B) 5/16
(B) 12 seconds ( C) 8/25
( C) 14 seconds (D) 2/25
(D) None of these
103.The probability that an event A happens in one trial of
96. A man was born on 2 October 1869. an experiment is 0.4. Three independent trials of the
The day of the week was experiment are formed. The probability that the event
(A) Sunday A happens at least once is
(B) Monday (A) 0.934
( C) Saturday (B) 0.784
(D) Friday ( C) 0.548
(D) 0.343
97. March 5, 1999 was on Friday. What day of the week was
on March 5, 2000? 104.A number is chosen at random among the first 120
(A) Monday natural numbers. The probability of the number
(B) Sunday chosen being a multiple of 5 or 15 is
( C) Friday (A) 1/5
(D) Tuesday (B) 1/6
( C) 1/7
98. Two dice are tossed. The probability that the total score (D) 1/9
is a prime number is
1 105.From a pack of 52 playing cards, two cards are drawn
(A)
6 together at random. Calculate the probability of both
5 the cards being Kings.
(B)
12 (A) 1/15
1 7
( C) (D)
2 9
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