## Monday, August 17, 2015

### AMCAT Quantitative Ability Previous Papers-8

71.      Find the remainder when 221 is divided by 6.

A.        0          B.        1          c.         2          D.        3

72.      Which of the following numbers is the smallest number?
A.        1/12   B.        1/6     C.        ¼         D.        1/3
Ans: (A)

73.      A phone company offers 5 phone plan options: call waiting, call forwarding, voice mail, conferencing, and caller ID. A customer can   choose 3 options. The number of ways one can avail the plan options        is:
A.        5          B.        10       C.        3          D.        20
Solution:
5c3 =10 is correct answer

74.      If log32 x + log32 (1/8) = 1/5, then the value of x is equal to:
A.        8          B.        5          C.        16       D.        32
Solution:
log b x+ log b y = log b xy
so log32 x + log32 (1/8) = 1/5
log 32 x(1/8) = 1/5
x/8 = 321/5
x/8 = 2
x= 16

75.      Length and breadth of a rectangle are directly proportional. If length increases from 6 cm to 21 cm and if breadth now is 14 cm, then what    was the breadth before any change in length occurred?
A.        4 cm   B.        1.5 cm           C.        2 cm               D.        3 cm
Solution:
since they are directly proportional
6/21=x/14
x=(14*6)/21=4

76.      At an election there are 5 candidates among which 3 members are to be elected and a voter may vote for any number of candidates not greater than the number to be elected. Then the number of ways in     which a voter may vote are ?
A.        25       B.        30       C.        32       D.        None of the above

Solution:

77.      One card is drawn from a pack of 52 cards, each of the 52 cards being equally likely to be drawn. Find the probability that the card drawn is '9' of hearts.
A.        1/13               B.        1/26               C.        1/52               D.        3/52

Solution:

78.      If 2x * 3y = 18 and 22x * 3y =36, the value of x is
A.        0          B.        1          C.        2          D.        3          E.         None of the above
Solution:
second equation can be written as,
2^x*2^x*3^y=36. substituting the first equation value,
2^x*18=36.
2^x=2^1;
a^m=a^n, then m=n, so we get x=1

79.      An unbiased coin is tossed 5 times. If tail appears on first 4 tosses,        then probability of tail appearing on the fifth toss is:     A.        ½         B.        1          C.        0          D.        4/5

Solution: (A) Appearing tail on fifth toss is independent of first 4 tosses.

80.      In a single throw of dice, what is the probability to get a number greater than or equal to 4
A.        1/3                 B.        2/3                 C.        ½         D.        None of the above

Solution: Getting number greater than or equal to 4 means 4,5 and 6 are possibilities.

Total case for a dice is 6.
ans: 3/6 = 1/2

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