Discrete Math Optional E OO 8, (5 points) Coins are randomly removed from s cont

Question

Discrete Math Optional E OO 8, (5 points) Coins are randomly removed from s container with 7 penties, ,dmes dimes and and 6 quarters. How many eons must be removed to GUARANTERpair a pair of another type of coin? A, 8 B, 11 ?, 20 D, 22 E, An-wer not given. 9. (5 points) Three eolors are svailable to dye egg, What is the mininmum mer d ep which must be dyed to GUARANTE that there are 10 eggs of the same ehon A, 10 B, 30 C, 5 dozen D, 28 E, Answer not given. 10. (5 pointa) What condition below is suficent for the statement "For innegns a, b e, ajbe, then alb or ale to be true? A. a is non-zero B. a is negative E. Anewer not given. C, a is even D. a is prime 11. (5 pointe) Which of the following describes an securate test for divisibility by 17 A. The sum of all the digits must be divisible by 12. B. The number must be divisible by both 2 and 6 C. The number formed by the last 3 digits must be divisible by 12. D. The number must be divisible by both 3 and 4 Fe Answer not given.

Explanation / Answer

10. a|bc => a|b or a|c when a is non-zero as a divisor can't be zero.

10 A.

11. Since g.c.d(3,4)=1 and 12=3*4 , so D is true.

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