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Maths Puzzle
Sum of five consecutive terms of an increasing geometric progression is 211. It is known that all the five terms are positive integers. Find the number of perfect squares among these five terms.
A. 2 B. 3 C. 4 D. 5
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Others Other Question
The arithmetic sequence a, a+d, a+2d, a+3d, . . ., a+(n−1)d has the following properties:
• When the first, third, and fifth, and so on terms are added, up to and including the last term, the sum is 320.
• When the first, fourth, seventh, and so on, terms are added, up to and including the last term, the sum is 224.
What is the sum of the whole sequence?
(A) 656
(B) 640
(C) 608
(D) 704
(E) 672
x and 2x are three digit positive integers such that both x and 2x has only even digits. (For ex x = 200 and 2x = 400). How many values x can take ??
a) 64
b) 18
c) 16
d) 125
e) 100