The remainder when dividing the expression (X + Y) by 5 is 4.The remainder of X divided by 10 is 2. What is the remainder of Y divided by 5?
Answer(s): B
Plug in numbers that fit the conditions. (X+Y) = 19 and so 19/5 gives a remainder of 4. X = 12 and so 12/10 gives a remainder of 2. Therefore, Y is 7. 7/5 = 1. The remainder is 2.
Q is a prime number larger than 10. What is the smallest positive number (except 1) that 3Q can be equally divided by?
Answer(s): C
3Q is a prime number so it can be divide equally by 3Q, by 1 and by the components 3 and Q. The smallest number is 3.
A can be divided by 11 with no remainder. Which of the following expressions could be divided by 11 leaving a remainder of 1?
Answer(s): D
A/11=X, so A=11X. Now change A in answer D with 11X to get: 11X-10. Plug in numbers in X to find out if it could leave a remainder of 1 when divided by 11.Let’s try X=2 and A = 22. In expression D: 22-10=12.12/11 = 1 with a remainder of 1. try plugging the same number (2) to each of the expressions to find the right answer.
Eggs are sold in packages of six or eleven only. If Doris bought 70 eggs exactly, what could be the number of large packs Doris bought?
If she bought 2 large packs (22 eggs) than she has 48 eggs left. 48 eggs can be equally divided into eight boxes of 6.
A, B, C are three consecutive positive integers (A>B>C). What is the value of the expression 2A +B +3C?
Answer(s): E
A different way is by expressing B and C according to A.C = A –2, B = A – 1. So the expression becomes: 2A +(A-1) +3(A-2) = 6A – 7.
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