FMS Actual Paper – 2007 (Memory Based Questions)
FMS Actual Paper – 2007 (Memory Based Questions)
FMS Actual Paper – 2007 (Memory Based Questions)
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6 6<br />
⎛1+ i 3 ⎞ ⎛1−i 3 ⎞<br />
10. Find the value of the expression<br />
+<br />
⎜ ⎟ ⎜ ⎟<br />
1− i 3<br />
⎟ ⎜<br />
1+ i 3<br />
⎟<br />
⎝ ⎠ ⎝ ⎠<br />
Page 2<br />
a.0 b.2 c.128 d. None of these<br />
11. Evaluate log34×log45×log56×log67×log78×log89 a.0 b.1 c.<strong>–</strong>1 d. None of these<br />
12. If the sum of the roots of the equation x 2 + ax + 1 = 0 is equal to the sum of the squares of their<br />
reciprocals, then which of the following is a possible value of a?<br />
a. <strong>–</strong>1 b. 2 c.1 d. None of these<br />
13. If the straight lines ax <strong>–</strong> by = k and cx <strong>–</strong> dy = k 1 are perpendicular to each other, then what is the<br />
relation between a, b, c & d?<br />
a. ab + cd= 0 b. ab <strong>–</strong> cd = 0 c. ac <strong>–</strong> bd = 0 d. ac + bd = 0<br />
14. The sum of the infinite series<br />
2 3<br />
x x<br />
1 - x + − + ... ∞ is denoted by<br />
2! 3!<br />
a. sin x + cos x b. 1 + log (1 <strong>–</strong> x) c. 1 <strong>–</strong> log (1 + x) d. None of these<br />
∞<br />
15.<br />
1<br />
The value of ∑ is<br />
n= 12n(2n+<br />
1)<br />
a. 1 <strong>–</strong> log 2 e b. 1 + log 2 e c. log 2 e d. log e 2<br />
16. If 2 +3x <strong>–</strong> 2x 2 < 0, then x is given by<br />
a. 1<br />
1<br />
1<br />
− < x < 2 b. x
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