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Total 1629 questions
Roy is now 4 years older than Erik and half of that amount older than Iris. If in 2 years, Roy will be twice as old as Erik, then in 2 years what would be Royג€™s age multiplied by Irisג€™s age?
- A. 8
- B. 28
- C. 48
- D. 50
- E. 52
Answer : C
Explanation:
Translate piece by piece into numbers. R (Roy) = E (Erik) + 4. The second equation: R = I (Iris) + 2.
The third equation: R +7 = 2(E + 7). We have three equations with three variables.
Roy is 6, Iris is 4 and Erik is 2. In four years Erik would be 6 and Iris 8, the answer is 48.
An investment yields an interest payment of $228 each month. If the simple annual interest rate is 9%, what is the amount of the investment?
- A. $28,300
- B. $30,400
- C. $31,300
- D. $32,500
- E. $35,100
Answer : B
Explanation:
Principal ֳ— percent interest ֳ— time = interest earned
Principal ֳ— (0.09) ֳ— 1/12 = $228.
Solve to find the principal (228 ֳ— 12) / 0.09= $30,400.
X, Y, Z, and W are integers. The expression X גˆ’ Y גˆ’ Z is even and the expression Y גˆ’ Z גˆ’ W is odd. If X is even what must be true?
- A. Y גˆ’ Z must be odd.
- B. W must be even.
- C. W must be odd.
- D. W must be even.
- E. Z must be odd.
Answer : C
Explanation:
The first expression is even and the second is odd, the only difference between the expressions is that the first expression has X and the second has W. So, if X is even W must be odd.
Q is a prime number bigger than 10. What is the smallest positive number (except 1) that 3Q can be divided by equally?
- A. 3Q
- B. Q
- C. 3
- D. Q + 3
- E. 2Q
Answer : C
Explanation:
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 therefore is 3.
In a box there are A green balls, 3A + 6 red balls and 2 yellow ones.
If there are no other colors, what is the probability of taking out a green or a yellow ball?
- A. 1/5.
- B. 1/2.
- C. 1/3
- D. 1/4.
- E. 2/3.
Answer : D
Explanation:
The number of green and yellow balls in the box is A + 2. The total number of balls is 4A + 8. The probability of taking out a green or a yellow ball is:
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