PSAT-Math Explanations - Psat Reliable Preliminary Scholastic Aptitude Test Math Test Question - Omgzlook

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PSAT-Math PDF DEMO:

QUESTION NO: 1
Art realized that he had 2 more quarters than he had originally thought in his pocket. If all of the change in
his pocket is quarters and it totals to $8.75, how many quarters did he originally think were in his pocket?
A. 27
B. 29
C. 31
D. 33
E. 35
Answer: D

QUESTION NO: 2
After having to pay increased income taxes this year, Edmond has to sell his BMW. Edmond bought the
car for $49,000, but he sold it for a 20% loss. What did Edmond sell the car for?
A. $24,200
B. $28,900
C. $35,600
D. $37,300
E. $39,200
Answer: E

QUESTION NO: 3
If n is an odd integer, which of the following must be an odd integer?
A. n-1
B. n+1
C. 2n
D. 3n+1
E. 4n+1
Answer: E
Explanation:
If n is an odd integer, both one more and one less than n will be even integers, eliminating choices (A) and
(B). Any even multiple of n will be an even integer, eliminating choice (C). However, 4n is even, making 4n
+1 an odd integer. The answer to this problem is (E). Note that 3n + 1 is even if n is odd and it is odd if n is
even. Since the question asks, "Which of the following MUST be an odd integer," (D) cannot be the correct answer.

QUESTION NO: 4
8 5% of what number is 136?
A. 160
B. 170
C. 180
D. 190
E. 220
Answer: A

QUESTION NO: 5
In a college, some courses contribute more towards an overall GPA than other courses. For example, a
science class is worth 4 points; mathematics is worth 3 points; history is worth 2 points; and English is worth 3 points. The values of the grade letters are as follows, A= 4, B=3, C=2, D=1, F=0. What is the
GPA
of a student who made a "C" in Trigonometry, a "B" in American History, an "A" in Botany, and a "B" in
Microbiology?
A. 3.33
B. 3.08
C. 3.67
D. 2.86
E. 2.59
Answer: B

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Updated: May 27, 2022