# SAT Questions and Answers Model Paper-3 Important Questions Section B

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SECTION - B

Time - 25 minutes

20 Questions

1. If the degree measures of the three angles of a triangle are and , what is the value of ?

(A) 45

(B) 50

(C) 60

(D) 70

(E) 75

2. Ms. Smith bought three kinds of fruit, and each kind of fruit had a fixed price, she spent \$ 1.80 for 6 oranges, \$ 1.20 for 6 plumps, and \$ 2.40 for 10 apples. From this fruit, she then arranged a basket of 2 oranges, 3 plums, and 4 apples. What was the total cost of the fruit in the basket?

(A) \$ 1.80

(B) \$ 1.90

(C) \$ 2.16

(D) \$ 2.26

(E) \$ 2.40

3. Which of the following expressions is equivalent to 6 more than the product of and ?

(A)

(B)

(C)

(D)

(E)

4. The figure below shows a solid with a hexagonal base. If each edge of the base has length 5 and each of the other edges of the solid has length 15. What is the sum of the lengths of all 12 edges?

(A) 100

(B) 105

(C) 110

(D) 115

(E) 120

5. If a number is selected at random from the list below, what is the probability that it will be less than 4?

0, 1, 2, 3, 4,5, 6,7

(A)

(B)

(C)

(D)

(E)

6. Segment has midpoints M. If the length of is , What is the length of in terms of ?

(A)

(B)

(C)

(D)

(E)

7. If , then

(A)

(B) 4

(C)

(D) 1

(E)

8. A bag contains only two types of coins. The total value of the 37 coins in the bag is \$ 6.25. Of the 37 coins, coins are worth \$ 0.10 each and coins are worth \$ 0.25 each. If there are no other coins in the bag, which of the following systems of equations can be solved to find the number of each type of coin in the bag?

(A)

(B)

(C)

(D)

(E)

9. If is a positive one-digit integer, which of the following is NOT a possible value of ?

(A)

(B)

(C)

(D)

(E)

10. In the figure below, if and , then In the Figure below, if L ∥ M and Y = 2x

Note: Figure not drawn to scale.

(A) 30

(B) 45

(C) 60

(D) 90

(E) 120

11. Hao and Mike shared a box of popcorn. If they ate all the popcorn in the box and Mike ate three times as much popcorn as Hao, what percent of the popcorn did Hao eat?

(A) 20 %

(B) 25 %

(C) 30 %

(D)

(E) 40 %

12. Which of the following is the graph of the solution set of the inequality ?

A.

B.

C.

D.

E.

13. If the graph above is reflected about the x-axis, what is the total number of x and y-intercepts that the resulting graph will have?

(A) One

(B) Two

(C) Three

(D) Four

(E) Five

14. What is the least integer value of for which ?

(A) 0

(B) 1

(C) 2

(D) 3

(E) 4

15. A salesman started at Town S and traveled 28 miles due east to Town X. He then traveled back 40 miles due west to Town Y. The salesman then traveled 55 miles due south to town P, and then traveled back 60 miles due north to Town Q. What is the distance, in miles, between Town Q and Town S?

(A) 5

(B) 12

(C) 13

(D) 15

(E) 20

16 For , which of the following equations is equivalent to the equation below?

(A)

(B)

(C)

(D)

(E)

17. In the figure below, point M ids the center of the circle, What is the slope of segment ?

(A)

(B)

(C) 1

(D)

(E)

18. Let the function P be defined by , where and are positive constants, For what value of will the function P have its minimum value?

(A)

(B)

(C)

(D)

(E)

19. If , what is the median of the five numbers in the list below?

(A)

(B)

(C)

(D)

(E)

20. Each student in a group of 30 students studies German, Italian, or both. The total number of students studying German is three more than the total number of students studying Italian. If the number of students that study both subjects is the same as the number of students that study exactly one subject, how many students in the group study only Italian?

(A) 6

(B) 9

(C) 15

(D) 21

(E) 24

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