Data Sufficiency Questions


DATA SUFFICIENCY TEST 1


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DIRECTIONS
Mark A if statement A alone is sufficient but statement B alone is not sufficient
Mark B if statement B alone is sufficient but statement A alone is not sufficient
Mark C if both statements A and B are needed
Mark D if both of them are independently sufficient
Mark E if data is insufficient/irrelevant.


1. At a certain picnic, each of the guests was served either a single scoop or a double scoop of ice cream. How many of the guests were served a double scoop of ice cream?
A. At the picnic, 60% of the guests were served a double scoop of ice cream
B. A total of 120 scoops of ice cream were served to all the guests at the picnic.

2. By what percent was the price of a certain candy bar increased?
A.The price of the candy bar was increased by 5 cents.
B.The price of the candy bar after the increase was 45 cents.

3. A circular tub has a band of height x meters painted around its circumference. What is the surface area of this band?
A. x = 0.5
B. The height of the tub is 1 meter.

4. Is it is true that a > b?
A.   2a > 2b
B.    a +c > b + c

5. A thoroughly blended biscuit mix includes only flour and baking powder. What is the ratio of the number of grams of baking powder to the number of grams of flour in the mix?
A.Exactly 9.9 grams of flour is contained in 10 grams of the mix
B.Exactly 0.3 gram of baking powder is contained in 30 grams of the mix

6. If a real estate agent received a commission of 6 percent of the selling price of a certain house, what was the selling price of the house?
A.The selling price minus the real estate agent’s commission was $84,600
B.The selling price was 250 percent of the original purchase price of $36,000

7. What is the value of ½x½?
A. x = -½x½
B. x2 = 4

8. What is the value of angle z in the triangle? (x, y and z are the angles of the triangle)
A. x + y  = 139
B. y + z = 108

9. A certain bakery sells rye bread in 16-ounce loaves and 24-ounce loaves and all loaves of the same size sell for the same price per loaf regardless of the number of loaves purchased. What is the price of a 24-ounce loaf of rye bread in this bakery?
A.The total price of a 16-ounce loaf and a 24-ounce loaf of this bread is $2.40.
B.The total price of two 16-ounce loaves and one 24-ounce loaf of this bread is $3.40

10. If Öx/y = n, what is the value of x?
A. yn = 100
B. y = 40 and n = 1/4

11.If m and n are consecutive positive integers is m greater than n?
A.  m – 1 and n + 1 are consecutive positive integers.
B.  m is an even integer.

12. Paula and Sandy were among those people who sold raffle tickets to raise money for Club X. If Paula and Sandy sold a total of 100 of the tickets how many of the tickets did Paula sell?
A. Sandy sold 2/3 as many of the raffle tickets as Paula did.
B. Sandy sold 8 percent of all the raffle tickets sold for club X

13.Is the integer n odd?
A. n is divisible by 3
B. n is divisible by 5.

14. 3.2 ðD 6. If  ð and D each represent single digits in the decimal above what digit does ð represent?
A.  When the decimal is rounded to the nearest tenth 3.2 is the result.
B. When the decimal is rounded to the nearest hundredth 3.24 is the result.

15. A certain company currently has how many employees?
A. If the company hires 3 additional employees and all of the present employees remain, there will be at least 20 employees in the company
B. If the company hires no additional employees and 3 of the present employees resign there will be fewer than 15 employees in the company

16. If x is equal to one of the numbers ¼, 3/8, or 2/5 what is the value of x?
A.   ¼ < x < 1/2
B.  1/3 < x< 3/5

17. If a, b, and c are integers is a – b + c greater than a + b -  c?
A. b is negative
B.  c is positive

18. If x + 2y + 1 = y –x, what is the value of x?
A. y2 = 9
B. y = 3

19. If n is an integer then n is divisible by how many positive integers?
A. n is the product of two different prime numbers.
B. n  and 23 are each divisible by the same number of positive integers.

20. How many miles long is the route from Houghton to Callahan?
A. It will take 1 hour less time to travel the entire route at an average rate of 55 miles per hour than at an average rate of 50 miles per hour.
B. It will take 11 hours to travel the first half of the route at an average rate of 25 miles per hour.

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