1) Let a,b be the two positive numbers, where a > b and 4 x GM = 5 X HM for the nos. Then a isA) 4bB) 1/4 bC) 2bD) b2) In the value of 100 factorial, the no. of 0s at the end is...A) 11B) 22C) 23D) 243) The sum of all proper divisors of 9900 isA) 33851B) 23952C) 23951D) none of these4) In the sequence 1,2,2,3,3,3,4,4,4,4..., where n consecutive terms have value n, the 150th term isA) 17B) 16C) 18D) none of these5)log(5c/a), log(3b/5c) and log (a/3b) are in AP, where a, b and c are in GP, then a.a.c are the lengths of the sides ofA) Isoceles TriangleB) equilateralC) scaleneD) none6) The co-efficiant of x^15 in the product (1 - x) ( 1 - 2x) (1 - 4x) ( 1 - 8x) ... (1- 2^15 x) is equal toA) 2^105 - 2^121B) 2^121 - 2^105C) 2^120 - 2^104D) none of these7) The co-efficent of x^49 in product (x - 1) (x - 3)...(x - 99) isA) -99^2B) 1C) -2500d) none of these8)The sum of n terms of the series 1^2 + 2.2^2 + 3^2 + 2.4^2 +.... is [n(n+1)^2]/2 when n is even. What is sum when n is odd?9)Th esolution set of mod of [(x +1 )/x] + mod of (X + 1) = (x+1)^2 / mod of (x) isA) x>= 0B) x > 0 and x = -1C) X= -1 or 1D) none of these10) mod of [(Z - 1)/(z +1)]= 1 representsA) circleB) ellipseC) a straight lineD) none of these

Vishrant Vasavada , 15 Years ago

Grade 11