What is the smallest number which when increased by 5 is completely divisible by 8, 11 and 24? . 

1) 259
2) 355
3) 255
4) none

Sum of the roots of the equation x⁴ - 3(2^{x + 3}) + 128 = 0, is:

(1) 0 
(2) 7
(3) 5 
(4) 8

If 2 is a root of the equation x² + bx + 12 = 0 and the equation x²  + bx + q = 0 has equal roots, then q = 

(1)  8  
(2)  – 8
(3)  16
(4)  – 16 

 

If   , then the value of x² + 2x + 3 is:

(1) 3 
(2) 0 
(3) 4 
(d) 1

If a < b < c < d < e are consecutive positive integers, such that b + c+ d is a perfect square and a + b + c + d + e is a perfect cube. What is the smallest possible value of c?

1) 675
2) 576
3) 475
4) 384