The mean of `1^2,\ 2^2,\ 3^2,\ 4^2,\ 5^2,\ 6^2,\ 7^2` is (a) 10 (b) 20 (c) 30 (d) 40

The value of the determinant =1^2 2^2 3^2 4^2 2^2 3^2 4^25^2 3^2 4^25^2 6^2 4^2 5^2 6^2 7^2 is equal to 1 b. 0 c. 2 d. 3

If 2p+3q=18 and 2p-q=2, then 2p+q=?( a) 6 (b) 7 (c) 10 (d) 20

If a + b =8, a -b =4, then a^2 + b^2 is equal to (A) 20 (B) 40 (C ) 10 (D) 30

Let a,b,c,d,e,f,g,h be distinct elements in the set {-7,-5,-3,-2,2,4,6,13} . The minimum value of (a+b+c+d)^2 + (e+ f + g + h)^2 is:(1) 30 (2) 32 ( 3) 34 ( 4) 40

If x^(2)+ax+10=0 and x^(2)+bx-10=0 have common root,then a^(2)-b^(2) is equal to 10 (b) 20(c)30 (d) 40

The mode of the data -3, 4, 0, 4, -2, -5, 1, 7, 10, 5 is : A. 0 B. 4 C. -2 D. 7

In which of the following tables a and b vary directly? (i) a, 7, 9, 13, 21, 25 b, 21, 27, 39, 63, 75 (ii) a, 10, 20, 30, 40, 46 b, 5, 10, 15, 20, 23 (iii) a, 1^2 , 2^2 , 3^2 , 4^2 , 5^2 b, 1^3 , 2^3 , 3^3 , 4^3 , 5^3

The number of positive integral solutions of,(x^(2)(3x-4)^(3)(x-2)^(4))/((x-5)^(2)*(2x-7)^(6))<=0 is 1 (b) 2 (c) 3 (d) 4

The value of 3/(1^2. 2^2)+5/(2^2. 3^2)+7/(3^2. 4^2)+9/(4^2. 5^2)+(11)/(5^2. 6^2)+(13)/(6^2. 7^2)+(15)/(7^2. 8^2)+(17)/(8^2. 9^2)+(19)/(9^2. 10^2) is 1/(100) (b) (99)/(100) (c) 1 (d) (101)/(100)

In which of the following tables, a\ a n d\ b vary directly. Also, find the constant of variation if a\ a n d\ b are in direct variation. (i) a, 4, 7, 21, 28 b, 12, 21, 63, 84 (ii) a, 2.5, 5, 7.5, 10, 15 b, 10, 20, 30, 40, 60 (iii) a, 1, 2, 3, 4, 5 b, 2, 1, 6, 3, 2/5