If 5(x-3)-4(x-2)=0 Then value of x is (a)-7 (b)-8 (c)7 (d)0

If 3/4 is equivalent to x/(28), then the value of x is (a) 6 (b) 7 (c) 8 (d) None of the above

If x^2+x+1 is a factor of the polynomial 3x^3+8x^2+8x+3+5k , then the value of k is (a) 0 (b) 2/5 (c) 5/2 (d) -1

If the function f(x)=((128 a+a x)^(1/8)-2)/((32+b x)^(1/5)-2) is continuous at x=0 , then the value of a/b is (A) 3/5f(0) (B) 2^(8/5)f(0) (C) (64)/5f(0) (D) none of these

If a is a root of x^(2) - 3x-5=0 find the value of a^(4) - 2a^(3) - 7a^(2) -8a

Let (2x^(2)+3x+4)^(10)=sum_(r=0)^(20)a_(r )x^(r ) , then the value of (a_(7))/(a_(13)) is (a) 6 (b) 8 (c) 12 (d) 16

If x=(7+5sqrt(2))^(1/3) -1/((7+5sqrt(2))^(1/3) , then the value of x^3+3x-14 is equal to 1 (b) 0 (c) 2 (d) 4

If alpha\ a n d\ beta are the roots of 4x^2+3x+7=0 then the value of 1/alpha+1/beta is a) 4/7 b) -3/7 c) 3/7 d) -3/4

Given "^(8)C_(1)x(1-x)^(7)+2*^(8)C_(2)x^(2)(1-x)^(6)+3*^(8)C_(3)x^(3)(1-x)^(5)+...+8*x^(8)=ax+b , then a+b is (a) 4 (b) 6 (c) 8 (d) 10

For certain curves y= f(x) satisfying [d^2y]/[dx^2]= 6x-4 , f(x) has local minimum value 5 when x=1. 9. Number of critical point for y=f(x) for x € [0,2] (a) 0 (b)1. c).2 d) 3 10. Global minimum value y = f(x) for x € [0,2] is (a)5 (b)7 (c)8 d) 9 11 Global maximum value of y = f(x) for x € [0,2] is (a) 5 (b) 7 (c) 8 (d) 9

Let f and g be real valued functions defined as f(x)={{:(7x^(2)+x-8",",xle 1),(4x+5",",1lt x le 7),(8x+3",",x gt7):} " " g(x)={{:(|x|",",xlt -3),(0",",-3le x lt 2),(x^(2)+4",",xge 2):} The value of gof (0) + fog (-3) is