Who among the following lives on floor number 6?

Only two persons live below the floor on which H lives. Only one person lives between H and X. X does not live on the lowermost floor. Using the above information we can place X and H on the floor number 5 and 3 respectively. U lives on an odd numbered floor but not on floor number 7. Only two persons live between U and Y. Y does not live on the topmost floor. We can use the above information to place U and Y in the table as shown below. B lives immediately below Z. Neither B nor C lives on floor number 6. After using the above information we can place B, Z and C in the table and here we can see that there is only spot left on the table which will be filled by last remaining member i.e. D.

Find the greatest number 23a68b, which is divisible by 3 but NOT divisible by 9.

Which of the following numbers will completely divide 4

^{12}+ 4^{13}4^{14 }+ 4^{15}+4^{16}?What is the largest common divisor of the numbers 1026, 2268 and 2430?

If the number 1005x4 is completely divisible by 8, then the smallest integer in place of x will be:

How many factors of 2

^{3}× 3^{3}× 5^{4}×9^{1}× is divisible by 50 but not by 100?Which of the following pairs of non-zero values of p and q make 6-digit number 674pq0 divisible by both 3 and 11?

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