**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**

**Answers:**

- 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.**

**Answers:**

- 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**

**Answers:**

- 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.**

**Answers:**

- 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.
- 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.**

**Answers:**

- 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.
- 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**

**Answers:**

- 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.
- 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.**

**Answers:**

- 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.
- 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.**

**Answers:**

- 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.
- 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**

**Answers:**

- 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.
- 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 5π.**

**Answers:**

- 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.
- 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.**

**Answers:**

- 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.
- 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.**

**Answers:**

- 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.
- 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**

**Answers:**

- 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.
- 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**

**Answers:**

- 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.
- 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%.**

**Answers:**

- 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.
- 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.**

**Answers:**

- 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.
- 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**

**Answers:**

- 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.
- 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**

**Answers:**

- 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.
- 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.**

**Answers:**

- 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.
- 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.**

**Answers:**

- 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.
- 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**

**Answers:**

- 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.
- 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.**

**Answers:**

- 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.
- 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.**

**Answers:**

- 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.
- 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.**

**Answers:**

- 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.
- 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.**

**Answers:**

- 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.
- 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**

**Answers:**

- 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.
- 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**

**Answers:**

- 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.
- 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 3×2 + 2x – 1?**

**1) x2 + 2x = 0**

** 2) x = -2**

**Answers:**

- 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.
- 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.**

**Answers:**

- 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.
- 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.**

**Answers:**

- 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.
- 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.**

**Answers:**

- 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.
- 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**

**Answers:**

- 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.
- 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.**

**Answers:**

- 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.
- 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.**

**Answers:**

- 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.
- 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**

**Answers:**

- 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.
- 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.**

**Answers:**

- 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.
- 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**

**Answers:**

- 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.
- 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.**

**Answers:**

- 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.
- 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**

**Answers:**

- 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.
- Either statement by itself is sufficient to answer the question.
- Even both the statements together are not sufficient to answer the question.

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