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Standard X

Mathematics

Volume of a Right Circular Cone

A number x is...

Question

A number x is selected at random from the set {1,2,3,..............99). A number y is selected from the same set. The probability that the number: 7^x+5^y last digit is 8.

1/4

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1/2

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1/16

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3/8

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Solution

The correct option is A 1/4
7^x will always end is 1,3,7 and 9.

5^y will always end in 5.

Total cases possible: 4

Out of these only one case where 8 is possible.

Hence P(E) = $\frac{1}{4}$

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A number x is selected at random from the set {1,2,3,..............99). A number y is selected from the same set. The probability that the number: 7x+5y last digit is 8.

The correct option is A 1/47x will always end is 1,3,7 and 9. 5y will always end in 5. Total cases possible: 4 Out of these only one case where 8 is possible. Hence P(E) = 14

A number x is selected at random from the set {1,2,3,..............99). A number y is selected from the same set. The probability that the number: 7^x+5^y last digit is 8.

The correct option is A 1/4
7^x will always end is 1,3,7 and 9.

5^y will always end in 5.

Total cases possible: 4

Out of these only one case where 8 is possible.

Hence P(E) = $\frac{1}{4}$