Hi puys
Some questions from my end . As usual methodology is more welcomed than the answer .
1. If f(x) = summation(r=1 to x) 1/r , f(10) = a/b , f(20) = c/d, f(30) = m/n , where HCF of a and b= HCF of c and d = HCF of m and n = 1, then the roots of teh equation are
a) Imaginary b) Rational c) Cannot be rational d) Integers
2 . If pth , qth, and rth terms of a GP be 27,8, and 12 respectively, then the equations px^2 + 2qx - 2r =0 has
a) Only one root in (0,1) b) No root in (0,1) c) Both roots in (0,1) d) Imaginary roots
3. If a, b be the roots of teh quadratic equation x^2 + ax+b = 0 and m,n,p,q are distinct integers in AP SUCH THAT a
0 b) b+1+|a| = 0 c) b+|a| = 0 d) 1+b+a < 0
4. Given that P and Q are the roots of teh equation Ax^2 -4x + 1 =0 and R and S are the roots of the equation Bx^2 -6x +1 =0 . What is teh value of A so that P,Q,R, and S are in HP ?
a)1 b)2 c)3 d)4
5. In a certain race the winner beats the other 6 contestants by 10,20,30,40,50,60 m respectively . Find by what distance the 3rd runner up beats the 4th runner - up , if he was 11.11 m ahead of teh 4th runner - up , when the first runner-up finished the race
a) 14.14 b)14.28 c)16.66 d) None of these