# logically equivalent statement

Mathematics

A test has 20 questions. If Peter gets 80 percent correct, how many questions did Peter miss?
A. 2
B. 4
C. 6
D. 5
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Question 2 of 20

The beginning tennis class has twice as many students as the advanced class. The intermediate class has three more students than the advanced class. How many students are in the advanced class if the total enrollment for the three tennis classes is 39?
A. 10
B. 15
C. 9
D. 12
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Question 3 of 20

Jim has grades of 84, 65, and 76 on three math tests. What grade must he obtain on the next test to have an average of exactly 80 for the four tests?
A. 87
B. 95
C. 85
D. 92
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Question 4 of 20

Seven students took a quiz. Four of these students received a score above 85 percent. Students who received at least an 85 percent got a sticker. What percent of the students (rounded to the nearest full percentage number) received a sticker?
A. 59 percent
B. 62 percent
C. 57 percent
D. 60 percent
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Question 5 of 20

The sum of two consecutive numbers is 37. What are they?
A. 19 and 20
B. 17 and 18
C. 18 and 19
D. 20 and 17
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Question 6 of 20

Mary has a monthly salary of \$1,200. She spends \$240 per month on food. What percent of her monthly salary does she spend on food?
A. 25 percent
B. 20 percent
C. 30 percent
D. 23 percent
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Question 7 of 20

A family had dinner in a restaurant and paid \$30 for food. They also had to pay 9.5 percent sales tax on the food only and 10 percent for the tip on the food not including the tax. How much did they pay for the dinner?
A. \$35.85
B. \$40.00
C. \$30.20
D. \$45.00
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Question 8 of 20

Jerry borrowed \$600 at 10 percent per year, simple interest, for three years. How much did he have to repay (principal + interest) at the end of the three-year period?
A. \$625
B. \$780
C. \$805
D. \$902
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Question 9 of 20

Kroger’s has reduced prices by 14 percent on everything to thank their customers for their patronage. If Ben & Jerry’s “Phish Food” ice cream cost \$2.99 before the price reduction, how much does it cost now? (Round your answer to the nearest penny.)
A. \$2.57
B. \$2.45
C. \$2.51
D. \$2.63
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Question 10 of 20

Ace Car Rental advertises that a rental car costs \$25 per day plus a charge of 10 cents per mile. For the same car, Better Car Rental advertises a price of \$40 per day plus 5 cents per mile. For what number of miles is the cost of renting a car the same at both companies?
A. 250 miles a day
B. 500 miles a day
C. 300 miles a day
D. 275 miles a day
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Question 11 of 20

John, Kevin, and Jane have \$120. Jane has a third of what John has and Kevin has twice as much as Jane. How much money, in dollars, does Kevin have?
A. 10
B. 20
C. 40
D. 60
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Question 12 of 20

“If Tom buys a red skateboard, then Anne buys pink in-line skates.”Â Which statement below is logically equivalent?
A. If Anne does not buy pink in-line skates, then Tom does not buy a red skateboard.
B. If Tom does not buy a red skateboard, then Anne does not buy pink in-line skates.
C. If Anne buys pink in-line skates, then Tom buys a red skateboard.
D. If Tom buys a red skateboard, then Anne does not buy pink in-line skates.
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Question 13 of 20

In a class of 50 students, 18 take music, 26 take art, and 2 take both art and music. How many students in the class are not enrolled in either music or art ?
A. 6
B. 8
C. 16
D. 24
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Question 14 of 20

If y = (x + 3)2, then (-2x – 6)2 must equal which of the following?
A. -4y2
B. -2y2
C. -4y
D. 4y
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Question 15 of 20

“If Deb and Sam go to the mall, then it is snowing.” Which statement below is logically equivalent?
A. If Deb and Sam do not go to the mall, then it is not snowing.
B. If Deb and Sam do not go to the mall, then it is snowing.
C. If it is snowing, then Deb and Sam go to the mall.
D. If it is not snowing, then Deb and Sam do not go to the mall.
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Question 16 of 20

A shop owner increased the selling price of a shirt from \$20 to \$26. By what percentage was the price increased?
A. 6 percent
B. 26 percent
C. 30 percent
D. 46 percent
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Question 17 of 20

If m and p are positive integers and (m + p) x m is even, which of the following must be true?
A. If m is odd, then p is odd.
B. If m is odd, then p is even.
C. If m is even, then p is even.
D. If m is even, then p is odd.
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Question 18 of 20

A 19-liter mixture consists by volume of 1 part juice to 18 parts water. If x liters of juice and y liters of water are added to this mixture to make a 54-liter mixture consisting by volume of 1 part juice to 2 parts water, what is the value of x?
A. 16
B. 17
C. 27
D. 35
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Question 19 of 20

Which statement represents the inverse of the statement, “If it is snowing, then Paul wears a sweater”?
A. If Paul wears a sweater, then it is snowing.
B. If Paul does not wear a sweater, then it is not snowing.
C. If it is not snowing, then Paul does not wear a sweater.
D. If it is not snowing, then Paul wears a sweater.
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Question 20 of 20

When y = 3, which of the following is FALSE?
A. y is prime and y is odd
B. y is odd or y is even
C. y is not prime and y is odd
D. y is odd and 2y is even

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