835, 734, 642, 751, 853, 981, 532 (a) 751          (b) 853           (c) 981           (d) 532

In the following questions 3 series are given. You have to find the value of a, b and c by identifying the pattern of the series and then you have to establish the relation among a, b and c? I. 1, 601, 721, 751, a, 766 II. 753, 769, b, 765, 763, 764 III. 23, 24, 50, 153, c, 3085

Give a rough estimate (by rounding off to nearest hundreds) and also a closer estimate (by rounding off to nearest tens) : (a) 439 + 334 + 4,317 (b) 1,08,734 – 47,599 (c) 8325 – 491 (d) 4,89,348 – 48,365 Make four more such examples.

vector vecc are perpendicular to vectors veca= (2,-3,1) and vecb= (1, -2,3) and satifies the condition vecc. (hati + 2hatj - 7 hatk) = 10 then vector vecc is equal to (a) (7,5,1) (b) (-7,-5,-1) (c) (1,1,-1) (d) none of these

The average weight of three boys A , B and C is 54 1/3 kg, while the average weight of three boys B , D and E is 53 kg. What is the average weight of A , B , C , D and E ? (a) 52.4 kg (b) 53.2 kg (c) 53.8 kg (d) Data inadequate (e) None of these

Give a rough estimate (by rounding off to nearest hundreds) and also a closer estimate(by rounding off to nearest tens) :(a) 439 + 334 + 4,317 (b) 1,08,734 – 47,599 (c) 8325 – 491(d) 4,89,348 – 48,365Make four more such examples.

An ellipse and hyperbola share common foci F1, and F2. The ellipse has vertices at the origin and (0, 24) and a semi-minor axis of length 11. The hyperbola has a conjugate axis of length 4sqrt(3) . The ellipse and hyperbola intersect at four points. Let P be one of the points of intersection, then value of (P F_1)^2+(P F_2)^2 is. (a) 410 (b) 820 (c) 532 (d) 266

If abs{:(32,24,16),(8,3,5),(4,5,3):} = lambda abs{:(1,3,2),(2,3,5),(1,5,3):} , then the value of lambda is a)4 b)8 c)16 d)32

(532)/(648)xx(432)/(588)=?(2)/(21) (b) (38)/(63) (c) (21)/(64) (d) (19)/(21) (e) None of these

The length and breadth of a rectangle are (3x+4)c m and (4x-13)c m respectively. If the perimeter of the rectangle is 94 cm, then its area is (a) 532\ c m^2 (b) 512\ c m^2 (c) 40\ c m (d) 120\ c m

The sum of the digits of a natural number (10^(n)-1) is 4707, where n is a natural number.The value of n is 477 (b) 523 (c) 532 (d) 704