q: The entire range of values of x is marked by the dark region on the number line, as shown above. Which of the following expressions describes the range of values of x?
Options:
(A) (3+x) (2−x)  ≤ 0
(B) (3−x) (2+x)  ≥ 0
(C) (x−3) (x+2)  ≤ 0
(D) (x+3) (2−x)  ≥ 0
(E) (3−x) (2−x)  ≥ 0
a: Given: x≥−3x≥−3 and x≤2 x≤2
(x+3)≥0(x+3)≥0 and (x−2)≤0(x−2)≤0
(x+3)≥0(x+3)≥0 and (2−x)≥0(2−x)≥0 The answer is (D).
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q: The length of a rectangle is increased by 25% and its breadth is decreased by 20%. What is the effect on its area?
Options:
(A) 10000
(B) 18999
(C) 16990
(D) 16007
(E) 16991
a: 100 * 100 = 10000
125 * 80 = 10000 The answer is (A).
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q: Let the second number be 3x, so that the first number is 6x and the third number is 2x.
Options:
(A) 22
(B) 77
(C) 98
(D) 27
(E) 36
a: ∴ 6x + 3x + 2x = 132 ⇒ x = 12. Second number = 3x = 3×12 = 36. The answer is (E).
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q: If the three-digit number 5W2 is evenly divisible by 8, which of the following could be the digit W ?
Options:
(A) 5
(B) 4
(C) 3
(D) 2
(E) 1
a:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
user
Tried to locate a '0' ending multiple of 8 between 500599
Only 560 is present
560 is divisible by 8, so (560 - 8) is also divisible by 8 = 5 The answer is (A).
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