Let S be the set of prime numbers greater than or equal to 2 and less than 100. [Multiply all elements of S. With how many consecutive zeros will the product end?]
Correct Answer : A
Which among 21/2, 31/3, 41/4, 61/6 and 121/12 is the largest?
- Each of the numbers x1, x2, .....,xn, n > 4, is equal to 1 or -1. Suppose,
x1x2x3x4 + x2x3x4x5 + x3x4x5x6 + ....... + xn-3xn-2xn-1xn + xn-2xn-1xnx1 + xn-1xnx1x2 + xnx1x2x3 = 0, then,
Let D be a recurring decimal of the form, D = 0. a1 a2 a1 a2 a1 a2..................., where digits a1 and a2 lie between 0 and 9. Further, at most one of them is zero. Then which of the following numbers necessarily produces an integer, when multiplied by D?