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# Test answers for Data Sufficiency Test 2016

(39) Last updated: June 29
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```1. Which one of the following operations does the operator # represent: addition, subtraction, multiplication or division?

(1)For all S, 10 # S = S # 10
(2)For all S, 10S # 3S = 30S2```

• Statement (1) alone is sufficient to answer the question, but statement (2) alone is not.

• Statement (2) alone is sufficient to answer the question, but statement (1) alone is not.

• Both statements together are sufficient to answer the question, but neither statement alone is sufficient.

• Either statement by itself is sufficient to answer the question.

• Even both the statements together are not sufficient to answer the question.

```2. How is Mary related to Jack?

1)Peter, the husband of Mary's only sister Rosy is a doctor.
2)Jack is Peter's sister-in-law's husband.```

• Statement (1) alone is sufficient to answer the question, but statement (2) alone is not.

• Statement (2) alone is sufficient to answer the question, but statement (1) alone is not.

• Both statements together are sufficient to answer the question, but neither statement alone is sufficient.

• Either statement by itself is sufficient to answer the question.

• Even both the statements together are not sufficient to answer the question.

```3. In the figure above, is PQ parallel to RS?

1)Angle PRS and angle QSR are equal.
2)PR = QS```

• Statement (1) alone is sufficient to answer the question, but statement (2) alone is not.

• Statement (2) alone is sufficient to answer the question, but statement (1) alone is not.

• Both statements together are sufficient to answer the question, but neither statement alone is sufficient.

• Either statement by itself is sufficient to answer the question.

• Even both the statements together are not sufficient to answer the question.

```4. In a fair, a lady bought a purse and a pair of sandals. Which item did she buy at a lower price?

1)The lady bought the purse at a 15% discount.
2)She bought the sandals at a 25% discount.```

• Statement (1) alone is sufficient to answer the question, but statement (2) alone is not.

• Statement (2) alone is sufficient to answer the question, but statement (1) alone is not.

• Both statements together are sufficient to answer the question, but neither statement alone is sufficient.

• Either statement by itself is sufficient to answer the question.

• Even both the statements together are not sufficient to answer the question.

```5. Does Peter have more coins in his pocket than Sam?

1)Mary has more coins in her pocket than Sam.
2)Peter has less coins in his pocket than Mary.```

• Statement (1) alone is sufficient to answer the question, but statement (2) alone is not.

• Statement (2) alone is sufficient to answer the question, but statement (1) alone is not.

• Both statements together are sufficient to answer the question, but neither statement alone is sufficient.

• Either statement by itself is sufficient to answer the question.

• Even both the statements together are not sufficient to answer the question.

```6. What is the value of A, if A and B are two distinct integers and their difference is 50?

1)A is an even integer.
2)A < B```

• Statement (1) alone is sufficient to answer the question, but statement (2) alone is not.

• Statement (2) alone is sufficient to answer the question, but statement (1) alone is not.

• Both statements together are sufficient to answer the question, but neither statement alone is sufficient.

• Either statement by itself is sufficient to answer the question.

• Even both the statements together are not sufficient to answer the question.

```7. Which employee got a bigger salary raise in absolute terms?

1)Jack got a 10% raise.
2)Mark got a 25% raise.```

• Statement (1) alone is sufficient to answer the question, but statement (2) alone is not.

• Statement (2) alone is sufficient to answer the question, but statement (1) alone is not.

• Both statements together are sufficient to answer the question, but neither statement alone is sufficient.

• Either statement by itself is sufficient to answer the question.

• Even both the statements together are not sufficient to answer the question.

```8. If the average of the marks obtained by three students of a class is 75, are the minimum marks obtained less than 50?

1)The highest marks obtained are 90.
2)One student has scored more than 75 marks.```

• Statement (1) alone is sufficient to answer the question, but statement (2) alone is not.

• Statement (2) alone is sufficient to answer the question, but statement (1) alone is not.

• Both statements together are sufficient to answer the question, but neither statement alone is sufficient.

• Either statement by itself is sufficient to answer the question.

• Even both the statements together are not sufficient to answer the question.

```9. If x and y are both positive integers, how much greater is x than y?

Statement (1): x + y = 20
Statement (2): x = y2```

• Statement (1) alone is sufficient to answer the question, but statement (2) alone is not.

• Statement (2) alone is sufficient to answer the question, but statement (1) alone is not.

• Both statements together are sufficient to answer the question, but neither statement alone is sufficient.

• Either statement is sufficient by itself to answer the question.

• Even both the statements together are not sufficient to answer the question.

```10. What is the area of the circle?

1)The radius of the circle is 5.
2)The circumference of the circle is 5??.```

• Statement (1) alone is sufficient to answer the question, but statement (2) alone is not.

• Statement (2) alone is sufficient to answer the question, but statement (1) alone is not.

• Both statements together are sufficient to answer the question, but neither statement alone is sufficient.

• Either statement by itself is sufficient to answer the question.

• Even both the statements together are not sufficient to answer the question.

```11. Students in a school speak only English or only French or both the languages. How many students speak only English?

1)1/5th of the students in the school speak both English and French.
2)200 students in the school speak only French.```

• Statement (1) alone is sufficient to answer the question, but statement (2) alone is not.

• Statement (2) alone is sufficient to answer the question, but statement (1) alone is not.

• Both statements together are sufficient to answer the question, but neither statement alone is sufficient.

• Either statement by itself is sufficient to answer the question.

• Even both the statements together are not sufficient to answer the question.

```12. Is w an integer?

1)3w is an odd number.
2)2w is an even number.```

• Statement (1) alone is sufficient to answer the question, but statement (2) alone is not.

• Statement (2) alone is sufficient to answer the question, but statement (1) alone is not.

• Both statements together are sufficient to answer the question, but neither statement alone is sufficient.

• Either statement by itself is sufficient to answer the question.

• Even both the statements together are not sufficient to answer the question.

```13. Suppose 7A + 8B = 11. What is the value of B?

1)A is prime.
2)B = -5A```

• Statement (1) alone is sufficient to answer the question, but statement (2) alone is not.

• Statement (2) alone is sufficient to answer the question, but statement (1) alone is not.

• Both statements together are sufficient to answer the question, but neither statement alone is sufficient.

• Either statement by itself is sufficient to answer the question.

• Even both the statements together are not sufficient to answer the question.

```14. Is P > 0?

Statement (1): P2 > 0
Statement (2): P3 > 0```

• Statement (1) alone is sufficient to answer the question, but statement (2) alone is not.

• Statement (2) alone is sufficient to answer the question, but statement (1) alone is not.

• Both statements together are sufficient to answer the question, but neither statement alone is sufficient.

• Either statement by itself is sufficient to answer the question.

• Even both the statements together are not sufficient to answer the question.

```15. Which company reported to be the largest exporter of cotton in the year 2002?

1)Company A reported that its cotton consumption in the year 2002 increased by 10%.
2)Company B reported that its cotton consumption in the year 2002 increased by 20%.```

• Statement (1) alone is sufficient to answer the question, but statement (2) alone is not.

• Statement (2) alone is sufficient to answer the question, but statement (1) alone is not.

• Both statements together are sufficient to answer the question, but neither statement alone is sufficient.

• Either statement by itself is sufficient to answer the question.

• Even both the statements together are not sufficient to answer the question.

```16. If p and q do not equal 0, is p/q an integer?

1)p is prime.
2)q is even.```

• Statement (1) alone is sufficient to answer the question, but statement (2) alone is not.

• Statement (2) alone is sufficient to answer the question, but statement (1) alone is not.

• Both statements together are sufficient to answer the question, but neither statement alone is sufficient.

• Either statement by itself is sufficient to answer the question.

• Even both the statements together are not sufficient to answer the question.

```17. In the figure above, what is the value of AC?

1)Angle CBA = 900
2)CB + BA = 14```

• Statement (1) alone is sufficient to answer the question, but statement (2) alone is not.

• Statement (2) alone is sufficient to answer the question, but statement (1) alone is not.

• Both statements together are sufficient to answer the question, but neither statement alone is sufficient.

• Either statement by itself is sufficient to answer the question.

• Even both the statements together are not sufficient to answer the question.

```18. What is the value of x?

1)x2=4
2)x<0```

• Statement (1) alone is sufficient to answer the question, but statement (2) alone is not.

• Statement (2) alone is sufficient to answer the question, but statement (1) alone is not.

• Both statements together are sufficient to answer the question, but neither statement alone is sufficient.

• Either statement by itself is sufficient to answer the question.

• Even both the statements together are not sufficient to answer the question.

```19. What is the duration of the solar eclipse?

1)A solar eclipse begins at 10:00 a.m. on Monday and ends at 10:00 a.m. on Sunday.
2)The solar eclipse is 6 days long.```

• Statement (1) alone is sufficient to answer the question, but statement (2) alone is not.

• Statement (2) alone is sufficient to answer the question, but statement (1) alone is not.

• Both statements together are sufficient to answer the question, but neither statement alone is sufficient.

• Either statement by itself is sufficient to answer the question.

• Even both the statements together are not sufficient to answer the question.

```20. What was the percentage decrease of a company's production between 1st December and 31st December 2008?

1)The production reduced by \$2000 in value during December 2008.
2)The production reduced by 15% from 2nd December 2008 to 20th December 2008.```

• Statement (1) alone is sufficient to answer the question, but statement (2) alone is not.

• Statement (2) alone is sufficient to answer the question, but statement (1) alone is not.

• Both statements together are sufficient to answer the question, but neither statement alone is sufficient.

• Either statement by itself is sufficient to answer the question.

• Even both the statements together are not sufficient to answer the question.

```21. What is the value of P?

1)P2 - 1 = 0
2)P = (10)0```

• Statement (1) alone is sufficient to answer the question, but statement (2) alone is not.

• Statement (2) alone is sufficient to answer the question, but statement (1) alone is not.

• Both statements together are sufficient to answer the question, but neither statement alone is sufficient.

• Either statement by itself is sufficient to answer the question.

• Even both the statements together are not sufficient to answer the question.

```22. What is the fifth term in the sequence S?

1)The seventh term of S is 5.
2)The sixth term of S is four times the fifth, and the seventh term is eight times the sixth.```

• Statement (1) alone is sufficient to answer the question, but statement (2) alone is not.

• Statement (2) alone is sufficient to answer the question, but statement (1) alone is not.

• Both statements together are sufficient to answer the question, but neither statement alone is sufficient.

• Either statement by itself is sufficient to answer the question.

• Even both the statements together are not sufficient to answer the question.

```23. Three persons have a combined weight of 500 pounds. What is the weight of the heaviest person?

1)One person weighs 150 pounds.
2)One person weighs 250 pounds.```

• Statement (1) alone is sufficient to answer the question, but statement (2) alone is not.

• Statement (2) alone is sufficient to answer the question, but statement (1) alone is not.

• Both statements together are sufficient to answer the question, but neither statement alone is sufficient.

• Either statement by itself is sufficient to answer the question.

• Even both the statements together are not sufficient to answer the question.

```24. What percentage of the items inspected in a unit are defective?

(1)The total production of items in the unit is 300.
(2)The ratio of the defective items to the non defective items is 12:35.```

• Statement (1) alone is sufficient to answer the question, but statement (2) alone is not.

• Statement (2) alone is sufficient to answer the question, but statement (1) alone is not.

• Both statements together are sufficient to answer the question, but neither statement alone is sufficient.

• Either statement by itself is sufficient to answer the question.

• Even both the statements together are not sufficient to answer the question.

```25. How many marbles are kept in a container?

1)If 5 marbles are taken out from the container, the number of marbles remaining in the container will be less than 15.
2)If 8 more marbles are put into the container, the total number of marbles in the container will rise to more than 20.```

• Statement (1) alone is sufficient to answer the question, but statement (2) alone is not.

• Statement (2) alone is sufficient to answer the question, but statement (1) alone is not.

• Both statements together are sufficient to answer the question, but neither statement alone is sufficient.

• Either statement by itself is sufficient to answer the question.

• Even both the statements together are not sufficient to answer the question.

```26. What is the value of P?

1. P + 20 = 100
2. P3 = 45```

• Statement (1) alone is sufficient to answer the question, but statement (2) alone is not.

• Statement (2) alone is sufficient to answer the question, but statement (1) alone is not.

• Both statements together are sufficient to answer the question, but neither statement alone is sufficient.

• Either statement by itself is sufficient to answer the question.

• Even both the statements together are not sufficient to answer the question.

```27. In the triangle ABD, BD is a straight line. What is the measure of angle CAB?

1)x = 800
2)y = 400```

• Statement (1) alone is sufficient to answer the question, but statement (2) alone is not.

• Statement (2) alone is sufficient to answer the question, but statement (1) alone is not.

• Both statements together are sufficient to answer the question, but neither statement alone is sufficient.

• Either statement by itself is sufficient to answer the question.

• Even both the statements together are not sufficient to answer the question.

```28. What is the value of 3x2 + 2x - 1?

1) x2 + 2x = 0
2) x = -2```

• Statement (1) alone is sufficient to answer the question, but statement (2) alone is not.

• Statement (2) alone is sufficient to answer the question, but statement (1) alone is not.

• Both statements together are sufficient to answer the question, but neither statement alone is sufficient.

• Either statement by itself is sufficient to answer the question.

• Even both the statements together are not sufficient to answer the question.

```29. How many cows in a herd of 50 cattle are black?

1)There are 12 oxen in the herd.
2)Forty two percent of the animals are black.```

• Statement (1) alone is sufficient to answer the question, but statement (2) alone is not.

• Statement (2) alone is sufficient to answer the question, but statement (1) alone is not.

• Both statements together are sufficient to answer the question, but neither statement alone is sufficient.

• Either statement by itself is sufficient to answer the question.

• Even both the statements together are not sufficient to answer the question.

```30. What is the value of even integers?

(1)3 < a < 21
(2)3???a is also an even integer.```

• Statement (1) alone is sufficient to answer the question, but statement (2) alone is not.

• Statement (2) alone is sufficient to answer the question, but statement (1) alone is not.

• Both statements together are sufficient to answer the question, but neither statement alone is sufficient.

• Either statement by itself is sufficient to answer the question.

• Even both the statements together are not sufficient to answer the question.

```31. If P is a positive number, what is 30% of P?

(1)50% of (50 / P) is less than 10.
(2)10% of (50 x P) is 225.```

• Statement (1) alone is sufficient to answer the question, but statement (2) alone is not.

• Statement (2) alone is sufficient to answer the question, but statement (1) alone is not.

• Both statements together are sufficient to answer the question, but neither statement alone is sufficient.

• Either statement by itself is sufficient to answer the question.

• Even both the statements together are not sufficient to answer the question.

```32. Is xy > 0 ?

1)x/y < 0
2)x + y < 0```

• Statement (1) alone is sufficient to answer the question, but statement (2) alone is not.

• Statement (2) alone is sufficient to answer the question, but statement (1) alone is not.

• Both statements together are sufficient to answer the question, but neither statement alone is sufficient.

• Either statement by itself is sufficient to answer the question.

• Even both the statements together are not sufficient to answer the question.

```33. If P is a cube of an integer and is between 5 and 100, what is the value of P?

1)P is odd.
2)P is the square of an integer.```

• Statement (1) alone is sufficient to answer the question, but statement (2) alone is not.

• Statement (2) alone is sufficient to answer the question, but statement (1) alone is not.

• Both statements together are sufficient to answer the question, but neither statement alone is sufficient.

• Either statement by itself is sufficient to answer the question.

• Even both the statements together are not sufficient to answer the question.

```34. What is the sum of A, B and C?

(1)A, B and C are odd numbers.
(2)The average of A, B and C is 5.```

• Statement (1) alone is sufficient to answer the question, but statement (2) alone is not.

• Statement (2) alone is sufficient to answer the question, but statement (1) alone is not.

• Both statements together are sufficient to answer the question, but neither statement alone is sufficient.

• Either statement by itself is sufficient to answer the question.

• Even both the statements together are not sufficient to answer the question.

```35. Is A greater than 0?

1)A3 is less than 0.
2)10A = -10```

• Statement (1) alone is sufficient to answer the question, but statement (2) alone is not.

• Statement (2) alone is sufficient to answer the question, but statement (1) alone is not.

• Both statements together are sufficient to answer the question, but neither statement alone is sufficient.

• Either statement by itself is sufficient to answer the question.

• Even both the statements together are not sufficient to answer the question.

```36. How many people in a city go to the office by car?

1)The total population of the city is 125000.
2)The total number of people going to the office by bus and train is1/3rd of the total population.```

• Statement (1) alone is sufficient to answer the question, but statement (2) alone is not.

• Statement (2) alone is sufficient to answer the question, but statement (1) alone is not.

• Both statements together are sufficient to answer the question, but neither statement alone is sufficient.

• Either statement by itself is sufficient to answer the question.

• Even both the statements together are not sufficient to answer the question.

```37. Is a > b?

1)a/3 > b/3
2)-a + c < -b + c```

• Statement (1) alone is sufficient to answer the question, but statement (2) alone is not.

• Statement (2) alone is sufficient to answer the question, but statement (1) alone is not.

• Both statements together are sufficient to answer the question, but neither statement alone is sufficient.

• Either statement by itself is sufficient to answer the question.

• Even both the statements together are not sufficient to answer the question.

```38. Is the product of A and B smaller than 100?

1)The sum of A and B is smaller than 100.
2)Both the numbers are smaller than 10.```

• Statement (1) alone is sufficient to answer the question, but statement (2) alone is not.

• Statement (2) alone is sufficient to answer the question, but statement (1) alone is not.

• Both statements together are sufficient to answer the question, but neither statement alone is sufficient.

• Either statement by itself is sufficient to answer the question.

• Even both the statements together are not sufficient to answer the question.

```39. What is the area of the square ABCD?

1)AB=10 yards
2)Diagonal BD = ???128```

• Statement (1) alone is sufficient to answer the question, but statement (2) alone is not.

• Statement (2) alone is sufficient to answer the question, but statement (1) alone is not.

• Both statements together are sufficient to answer the question, but neither statement alone is sufficient.

• Either statement by itself is sufficient to answer the question.

• Even both the statements together are not sufficient to answer the question.