TESTfunda - CAT Question of the Day 29-Aug-12

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Testfunda
29-Aug-12
CAT Question of the Day
Let an unbiased coin is tossed 10 times. Let the probability that head never occur on two consecutive toss is denoted by P.



Here m and n donot have any common factor. Find m × n.
OPTIONS
 
 1)318
 2)720
 3)512
 4)576
Tip of the Day
If the number obtained by subtracting twice the last digit from the number left after removing the last digit, is divisible by 7, then the original number is divisible by 7. For example, consider the number 161. The number left after removing the last digit is 16. If we subtract twice the last digit i.e. 2 from this we get 14. Since 14 is divisible by 7, we can say that 161 is divisible by 7.
Last year's Question of the day (28-Aug-11)
a and b are natural numbers. Let f(a, b) be the number of cells that the line joining (a, b) to (0, 0) cuts in the region 0 ≤ xa and 0 ≤ yb. For example f(1, 1) is 1 because the line joining (1, 1) and (0, 0) cuts just one cell. Similarly f(2, 1) is 2 and f(3, 2) = 4.

Find f(343, 56).
OPTIONS
 
 1)390
 2)392
 3)399
 4)397
 5)395
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