IQ Questions

Simple riddle: Can you solve it?

1) If
7+2=59
14+8=622
34+15=1949
60+27=3387
Then
75+32= ?                                                                                                                  Ans= 43107

 2) 81 ÷ 9 ( 4 + 5 ) = . . . . .

(a) 81
(b) 1
(c) 9
(d) Any other                                                                                                                  Ans = 1

 3)  Solve in R:
(x^5)-(x^4)-x+1 ­=0.

                                                                     
Ans: x^5 - x^4 - x + 1 = 0
x * (x^4 – 1) – 1 * (x – 1) = 0
(x – 1) * (x^4 – 1) = 0
(x – 1) * (x^2 – 1) * (x^2 + 1) = 0
(x – 1) * (x – 1) * (x + 1) * (x^2 + 1) = 0
x – 1 = 0 → x = 1
x – 1 = 0 → x = 1
x + 1 = 0 → x = - 1
x^2 + 1 = 0 → x^2 = - 1 → x = ± √-1 = ± i
In R :
x = 1
x = 1
x = - 1

4)