# SAT Questions and Answers Model Paper-1 Important Questions Section E

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SECTION – E

Time – 25 Minutes

20 Questions

1. If and , what is the value of ?

(A) 8

(B) 12

(C) 16

(D) 24

(E) 64

2. In the figure below, which of the labeled points is inside circle X and circle Y but not inside circle Z?

(A) A

(B) B

(C) C

(D) D

(E) E

3. The length of one piece of rope is 4 inches more than 2 times the length of a shorter piece. If the length of the longer piece is 26 inches, what is the length, in inches, of the shorter piece?

(A) 9

(B) 11

(C) 13

(D) 15

(E) 17

4. In the triangle below, and . What is the length of ? Triangle below, AC = 5 and BC = 7

Note: Figure not drawn to scale.

(A) 4

(B) 5

(C) 6

(D) 7

(E) 8

5. If and are positive integers and what is the value of ?

(A) 1

(B) 2

(C) 3

(D) 4

(E) 5

6. The function is defined by the table below. For which value of does ?

(A)

(B)

(C)

(D)

(E)

7. The graph above shows the numbers of employees at companies A, B, and C. The companies are to be combined to form a new company. All current employees will work for the company, and no new ones will be the ratio of the number of males to the number of females in the new company? The Numbers of Employees at Companies

(A) 2: 3

(B) 3: 2

(C) 3: 5

(D) 4: 5

(E) 5: 4

8. If , then

(A) 3

(B)

(C)

(D)

(E)

9. Based on the table below, which of the following lists the beverages from least to greatest caffeine content per ounce?

 Caffeine Content of Different Beverages Beverage Size Amount of Caffeine Coffee 6 oz 60 mg Tea 8 oz 70 mg Cola 12 oz 45 mg

(A) Coffee, Tea, Cola

(B) Coffee, Cola, Tea

(C) Tea, Coffee, Cola

(D) Tea, Cola, Coffee

(E) Cola, Tea, Coffee

10. In the equation below, is a constant. If when ?

(A)

(B)

(C)

(D)

(E)

11. Five 6-inch rods are shown lying end-to-end in the top row of the figure below. If the total span of the rods is reduced to 22 inches by overlapping the rods equally as shown in the bottom row of the figure, how long in inches is each of the overlaps?

(A) 8

(B) 6

(C) 4

(D) 2

(E) 1

12. If , which of the following is a possible value of ?

(A) – 6

(B) – 4

(C) – 2

(D) 0

(E) 2

13. Machine A produces chairs at a constant rate of 6 chairs per hour, and machine B produces chairs at a constant rate of 8 chairs per hour. How many more minutes does it take machine A to produce 32 chairs than it takes machine B?

(A) 20

(B) 60

(C) 80

(D) 90

(E) 120

14. The measures of the largest angle in a certain triangle is twice the sum of the measures of the remaining angles. What is the measure of the largest angle?

(A)

(B)

(C)

(D)

(E)

15. If , which of the following is closest in value to 0.56m?

(A)

(B)

(C)

(D)

(E)

16. In the figure below, the circle has center O and radius 6. What is the length of arc ?

(A)

(B)

(C)

(D)

(E)

17. In the figure below, points P and R are the end points of one of the diagonals of a square (not) . Which of the following are the coordinates of one other vertices of this square?

(A) (1,1.5)

(B) (1,3.5)

(C) (1.5,1.5)

(D) (1.5,2.5)

(E) (1.5,3.5)

18. A portion of the graph of the function f is shown in the xy-plane above. What is the y-intercept of the graph of the function g defined by ? A Portin of the Graph of the Function

(A) -2

(B) 0

(C) 1

(D) 2

(E) 3

19. The first three terms of a sequence are given below. The nth term of the sequence is . Which is equal to what is the sum of the first 50 terms of the sequence?

, ,

(A) 1

(B)

(C)

(D)

(E)

20. In the figure below, and are squares, is the midpoint of and If What is the length of ?