FMS Actual Paper – 2007 (Memory Based Questions)

30. Four brothers and three sisters sit in a single row, facing the photographer’s camera. If the three
sisters always sit together, how many different photographs, having all of them, can be eliked?
a.840 b.126 c.120 d.720
31. From amongst the available 15 cricket players, of whom 5 are bowlers, a team of 11 is to be
selected. What is the probability that the selected team will have at least 3 bowlers?
Page 4
a. 7
13
b. 5
13
c. 12
13
(a+ ib)
32. The imaginary part of the complex number is given by
(c−id) ac+ bd
a. 2 2
c −d
ac−bd b. 2 2
c + d
ad−bc c. 2 2
c −d
d. 9
13
ad+ bc
d. 2 2
c + d
33. The area of a triangle is 21 sq. units. If two of its vertices lie on points (5, 3) and (–4, –3), then find
the locus of the third vertex.
a. 2x – 3y = 15 b. 2x + 3y = 15 c. 3x + 2y = 15 d. 3x – 2y = 15
34. The profit by selling an item was 25%. If the item was marked 40% above the selling price then what
is the ratio of the marked price to the cost price of the item?
a. 5
4
b. 7
4
35. The per liter price of vehicular fuel has increased by 25%. If the transportation cost is still the same,
then what is the ratio of the reduced fuel consumption to the previous fuel consumption?
a. 1:5 b. 1:4 c. 1:3 d. 1:6
36. The arithmetic mean of the k th and the l th terms of an A.P. is equal to the arithmetic mean of the m th
and the n th terms of the same A.P. Find the value of (m + n).
a. l – k b. k – l c. l + k d. None of these
37. A very small ball lies at the point (3, 2) in the X – Y plane. The ball is now shifted by 5 units towards
the negative Y-axis. If Y-axis were a mirror, then at what point will the image of this ball, lie?
a. (–3, –3) b. (–3, –2) c. (–2, –2) d. (–2, –3)
c. 3
4
d. 1
4
38. In the X – Y plane, three lines are concurrent. Their equations are
3x + 4y = 6
5x + 4y = 4
zx + 4y = 5
Find the value of the constant z.
a. 23 b. 25 c. 27 d. 29
FMS / ACTUAL PAPER 2007