OCT 08

(

LR SET

DI Set

56. How many sets of (m, n, p) satisfy the following two conditions?

I. m, n, p are all real numbers.
II. mn = p, mp = n and np = m
(1) 2 (2) 4 (3) 5
(4) 6 (5) Infinite number of sets are possible

57. A cola company ‘X’ has to produce two types of bottled soft drinks ‘Cool Blue’ : 8100 units and ‘Kiss
of Coffee’ : 9000 units within a stipulated deadline. The production of ‘Cool Blue’ was achieved,
3 days before the deadline. And the production of ‘Kiss of Coffee’ was achieved 6 days prior to the
deadline. The production was at an uniform rate everyday. If 210 more units of ‘Kiss of Coffee’ were
produced in comparison to the ‘Cool Blue’ everyday, then the daily production of ‘Cool Blue’ was
(1) 630 (2) 540 (3) 420 (4) 210 (5) None of these

59. Consider a set of first 12 natural numbers. Three numbers ‘a’, ‘b’ and ‘c’ are selected from this set such

that a > 2b > 3c. How many such distinct triplets (a, b, c) can be selected ?
(1) 28 (2) 27 (3) 29 (4) 30 (5) 26

62. Students of two different sections of a school appeared for a test. Average score of the students of

the 1st section is 65 and the average scores of boys and girls of the 1st section are 68 and 64 respectively.
For the 2nd section: the average score of the section is 71; and the average score of the boys and girls are
also 80 and 65 respectively. It number of girls in 2nd section is half the number of boys in the 1st section
then the average score of the students of the two sections together is
(1) 67.7 (2) 66.6 (3) 69.2 (4) 70.1 (5) 66

63. Four men start simultaneously at uniform speeds from a point ‘X’ for the point ‘Y’. Though they move
along the same route, they arrive at ‘Y’ at equal intervals of time. If the speed of the fastest man is 70
km/hr and that of the slowest man is 30 km/hr, then the speeds of the other two men are
(1) 39 km/hr, 51 km/hr (2) 33 km/hr, 68 km/hr (3) 36.2 km/hr, 44.8 km/hr
(4) 37 km/hr, 48.5 km/hr (5) None of these