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

Click on the link below to download the complete paper.

**SCRA Exam Paper on Mathematics - 2009**