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

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

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

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 points (1,\ 2),\ (-5,\ 6) and (a ,\ -2) are collinear, then a= (a) -3 (b) 7 (c) 2 (d) -2

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