To a prime number bigger than 2, 1 is added, the result is multiplied by three. What can be the result of these actions?
Answer(s): E
A prime number bigger than 2 must be odd, adding one to that number gives you an even number, multiply that number by 3 and again the result is even. The only even answer is B.
A seven-digit phone number is divisible by 3. After adding the two digits of the area code the number is not divisible by 3, which of the following cannot be the area code?
Answer(s): A
Adding one number that is divisible by 3 to another, the result will still be a number that is divisible by 3; the only number among the answers that is divisible by 3 is 06.
In a Greek restaurant there is a custom to break plates during celebrations. If after 8 celebrations there were only 6 plates left, which of the following could be the original number of plates before the celebrations?
Take answer A: start with 30 plates; take out 6 so you have 24. 24 is divisible by 8 (celebrations).
If a, b, c and d are consecutive integers (a<b<c<d). What is the value of (d+c) – (b+a)?
Plug in some numbers. Try a=1, b=2, c=3 and d=4.(d+c) – (b+a) = 7 – 3 = 4. It will work with any number since the difference between any two consecutive integers is always 1.
A, B and C are consecutive integers. If X = (A x B x C)/2, what can be said about X?
Answer(s): B
A product of three consecutive integers is divisible by 6, therefore when divided by 2 it is still divisible by 3.
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