1. APTITUDE TEST PAPER<br />1)In a game of 250 points A can give B 50 points and C 70 points. How many points can B give C?a)30 b)25 c)40 d)35<br />2)A can run a km in 3 min.10sec. And B in 3 min.20sec. By what distance can A beat B?a)30 m b)20m c)40 m d)50m3) Lt x->0 sin2x/x = ?a)3 b)4 c)2 d)None 4) Lt 5X - sin3x x->0 Xa)3 b)4 c)5 d)2<br />5) Lt cosx = ? x->?/2 x- ?/2 a)-1 b)4 c)5 d)2 <br />6) Lt sin5x-sin2x = ? x->0 tan6x-tanxa)1/5 b)3/5 c)3 d)None<br />7) Lt 1-cos2x/x = ? x->0a)1 b)3 c)0 d)None8) Lt [cos2x-cos4x]/x^2 = ? x->0 a)1 b)3 c)4 d)6 9) Lt cos7x-cos9x = ? x->0 cos3x-cos7x a)4/5 b)3/5 c)1/5 d)None <br />10) Lt tan5x-tan2x = ? x->0 tan7x-sin4xa)4 b)1 c)5 d)None <br />11) Lt cotx = ? x->?/2 x-?/2a)-1 b)1 c)5 d)None<br />12) A Man invests a certain sum of money at 6% p.a Simple interest and another sum at 7% p.a Simple interest. His income from interest after 2 years was Rs 354 .one fourth of the first sum is equal to one fifth of the second sum. The total sum invested was:a)2500 b)2200 c)2000 d)2700<br />13)A is 1+4/5 times fast as B . If A gives B a start of 60m, how long should the race course be so that both of them reach at the same time?a)86m b)96m c)66 m d)None14) Lt x->0 (1-cos2x)/x^2 = ?a)1/3 b)1/2 c)1/5 d)None 15) Lt x->0 x/sin5x = ?a)1/3 b)1/2 c)1/5 d)None 16) Lt x->0 [(sin4x)^2]/x^2 = ?a)17 b)13 c)15 d)16 17) Lt x->1 x^5+5 =? a)2 b)3 c)5 d)None 18) Lt x->5 (x^2+4x+4) = ?a)40 b)49 c)55 d)None 19)Lt x->0 tan5x/x = ?a)2 b)3 c)5 d)None 20) Lt x->3 [x^3 – 27]/[ x ^2- 9]a)1 b)3/2 c)5/2 d)9/2<br />21) Lt x^(2/3) -4^(1/3)/[x ^(-1/3)- 2^(-1/3)] x->2 a)-4 b)3 c)5 d)None<br />22)Lt (x)^(18)-1 x->1 x ^6 -1a)2 b)3 c)5 d)None 23) Lt [ x^5 – 1/[x - 1] x->1 a)1 b)3 c)5 d)None<br />24) Lt x->1 [x^(-3/2) – 1][x^(4/3) - 1 ]a)9/8 b)5/8 c)1/8 d)-9/825) Lt x->2 [x^4 – 16]/[x – 2]a)32 b)30 c)33 d)None <br />