SCRA Exam Paper on Mathematics- 2009

Solve the SCRA Exam Question Paper of the previous year. Prepare better.

Mathematics

2. If Tr=Vr+1-Vr-2, r=1,2,3,... where Vr is the sum of the first r terms of an AP whose first term is r and common difference is (2r-1), then Tr is always

(a) prime and odd

(b) composite and odd

(c) composite and even

(d) odd but not prime

4. For bwhat values of x and y. the expression (|z|²+|z-5|²-|z-zi|²) where z=x+iy, assumes minimum  value ?

(a) x=5, y=-3

(b) x=-5, y=3

(c) x=3, y=-5

(d) x=-3, y=5

6. what is the number of integral points (integral points means both coordinates must be integers exactly in the interior of the traiangle with vertices (0,0) (0,21) and (21,0) ?

(a) 105

(b) 133

(c) 190

(d) 233

7. A man has 7 relatives, 4 women and 3 men. His wife also has 7 relatives, 3 women and 4 men. What is the number of ways can they invite 3 women and 3 men so that 3 of them are the man's relatives and 3 of them are his wife's relatives ?

(a) 485

(b) 484

(c) 468

(d) 467

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SCRA Exam Paper on Mathematics - 2009