(A) are planning to announce (B) is planning to announce (C) were planning to announce (D) plan to announce (E) has planned to be announcing
Which of the following, if true, most seriously weakens the argument above?
Rearrange the equation: $2x - 5 = 5x + 4$ Subtract $2x$ from both sides: $-5 = 3x + 4$ Subtract 4 from both sides: $-9 = 3x$ Divide by 3: $x = -3$.
Watch your weak areas shrink.
A store sells a certain item for $20. If the price is increased by 25% and then decreased by 20%, what is the final price? (A) $19.00 (B) $20.00 (C) $21.00 (D) $24.00 (E) $25.00
Data Sufficiency. We need to know if $n$ is even (since only even numbers yield a square divisible by 4, except for 0). Statement (1): $n$ is divisible by 3. $n$ could be 3 (square is 9, not div by 4) or 6 (square is 36, div by 4). Not sufficient. Statement (2): $n$ is divisible by 4. If $n$ is a multiple of 4, then $n^2$ is a multiple of $4 \times 4 = 16$, which is divisible by 4. Sufficient .
If the average (arithmetic mean) of five numbers is 10, and one of the numbers is removed, the average of the remaining four numbers is 8. What was the value of the removed number? (A) 12 (B) 14 (C) 16 (D) 18 (E) 20