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OG20 OG2022
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In ∆JKL shown above, what is the length of segment JL ?
1. $$JK = 10$$
2. $$KL = 5$$
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OG20 OG2022
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A certain list, L, contains a total of n numbers, not necessarily distinct, that are arranged in increasing order. If $$L_1$$ is the list consisting of the first $$n_1$$ numbers in L and $$L_2$$ is the list consisting of the last $$n_2$$ numbers in L, is 17 a mode for L ?
1.17 is a mode for $$L_1$$ and 17 is a mode for $$L_2$$.
2.$$n_1$$ + $$n_2$$ = n
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OG20 OG2022
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What number is 6 more than x + y ?
1.y is 3 less than x.
2.y is twice x.
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OG20 OG2022
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Is n equal to zero?
1.The product of n and some nonzero number is 0.
2.The sum of n and 0 is 0.
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OG20 OG2022
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The total price of 5 pounds of regular coffee and 3 pounds of decaffeinated coffee was $21.50. What was the price of the 5 pounds of regular coffee?
1.If the price of the 5 pounds of regular coffee had been reduced 10 percent and the price of the 3 pounds of decaffeinated coffee had been reduced 20 percent, the total price would have been $18.45.
2.The price of the 5 pounds of regular coffee was $3.50 more than the price of the 3 pounds of decaffeinated coffee.
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OG20 OG2022
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If S is a set of odd integers and 3 and –1 are in S, is –15 in S ?
1.5 is in S.
2.Whenever two numbers are in S, their product is in S.
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OG20 OG2022
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Is the point Q on the circle with center C ?
1.R is a point on the circle and the distance from Q to R is equal to the distance from Q to C.
2.S is a point on the circle and the distance from Q to S is equal to the distance from S to C.
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OG20 OG2022
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Is the integer p divisible by 5 ?
1.p is divisible by 10.
2.p is not divisible by 15.
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OG20 OG2022
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If xyz ≠ 0, what is the value of $$\frac{x^{4}z^{2}}{z^{2}y^{2}}$$
1.$$y^{2}=x^{4}$$
2.$$x = 2$$ and $$y = 4$$
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OG20 OG2022
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A pentagon with 5 sides of equal length and 5 interior angles of equal measure is inscribed in a circle. Is the perimeter of the pentagon greater than 26 centimeters?
1.The area of the circle is 16π square centimeters.
2.The length of each diagonal of the pentagon is less than 8 centimeters.
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OG20 OG2022
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If R, S, and T are points on a line, and if R is 5 meters from T and 2 meters from S, how far is S from T ?
1.R is between S and T.
2.S is to the left of R, and T is to the right of R.
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OG20 OG2022
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Jack picked 76 apples. Of these, he sold 4y apples to Juanita and 3t apples to Sylvia. If he kept the remaining apples, how many apples did he keep? (t and y are positive integers.)
1.y ≥ 15 and t = 2
2.y = 17
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OG20 OG2022
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If x is an integer greater than 0, what is the remainder when x is divided by 4 ?
1.The remainder is 3 when x + 1 is divided by 4.
2.The remainder is 0 when 2x is divided by 4.
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OG20 OG2022
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A company produces a certain toy in only 2 sizes, small or large, and in only 2 colors, red or green. If, for each size, there are equal numbers of red and green toys in a certain production lot, what fraction of the total number of green toys is large?
1.In the production lot, 400 of the small toys are green.
2.In the production lot, $$\frac{2}{3}$$ of the toys produced are small.
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OG20 OG2022
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Is x = y ?
1.$$\frac{2x}{3} - \frac{y}{3} = \frac{1}{3}$$
2.$$\frac{x}{4}-\frac{y}{4} = 0 $$
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OG20 OG2022
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Is the sum of two integers divisible by 10 ?
1.One of the integers is even.
2.One of the integers is a multiple of 5.
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OG20 OG2022
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After the first two terms in a sequence of numbers, each term in the sequence is formed by adding all of the preceding terms. Is 12 the fifth term in the sequence?
1.The sum of the first 3 terms in the sequence is 6.
2.The fourth term in the sequence is 6.
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OG20 OG2022
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In the figure above, RST is a triangle with angle measures as shown and PRTQ is a line segment. What is the value of x + y ?
1.s = 40
2.r = 70
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OG20 OG2022
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In the figure above, ∆PQR has angle measures as shown. Is x < y ?
1.PQ = QR
2.PR > QR
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OG20 OG2022
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Three-fourths of the area of a rectangular lawn 30 feet wide by 40 feet long is to be enclosed by a rectangular fence. If the enclosure has full width and reduced length rather than full length and reduced width, how much less fence will be needed?
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