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Data Sufficiency - 3

Practice data sufficiency questions covering algebra, geometry, arithmetic, and logical reasoning for standardized test preparation

15 Questions Published
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Questions

Question 1 Multiple Choice (Single Answer)

Directions: The following problem has a question and two statements labelled (1) and (2). You have to decide whether the statements are sufficient to answer the question. Mark your answer as

A sequence of numbers is given by the rule an = an–1 + 2. Is a10 an even integer?
(1) a1 is even.
(2) a9 is 24.

  1. if you can get the answer from (1) alone, but not from (2) alone
  2. if you can get the answer from (2) alone, but not from (1) alone
  3. if you can get the answer from (1) and (2) together, although neither statement by itself suffices
  4. if (1) alone suffices and (2) alone suffices
  5. if you cannot get the answer from (1) and (2) together, and need even more data
Question 2 Multiple Choice (Single Answer)

Directions: The following problem has a question and two statements labelled (1) and (2). You have to decide whether the statements are sufficient to answer the question. Mark your answer as

How many books are on the bookshelf?
(1) The average weight of each book is 1.2 kg.
(2) The book and the bookshelf together weigh 34 kg.

  1. if you can get the answer from (1) alone, but not from (2) alone
  2. if you can get the answer from (2) alone, but not from (1) alone
  3. if you can get the answer from (1) and (2) together, although neither statement by itself suffices
  4. if (1) alone suffices and (2) alone suffices
  5. if you cannot get the answer from (1) and (2) together, and need even more data
Question 3 Multiple Choice (Single Answer)

Directions: The following problem has a question and two statements labelled (1) and (2). You have to decide whether the statements are sufficient to answer the question. Mark your answer as

A cylindrical tank has a radius of 10 feet and its height is 20 feet. How many gallons of liquid can be stored in the tank?
(1) A gallon of liquid occupies about 13 cubic feet of space.
(2) The diameter of the tank is 20 feet.

  1. if you can get the answer from (1) alone, but not from (2) alone
  2. if you can get the answer from (2) alone, but not from (1) alone
  3. if you can get the answer from (1) and (2) together, although neither statement by itself suffices
  4. if (1) alone suffices and (2) alone suffices
  5. if you cannot get the answer from (1) and (2) together, and need even more data
Question 4 Multiple Choice (Single Answer)

Directions: The following problem has a question and two statements labelled (1) and (2). You have to decide whether the statements are sufficient to answer the question. Mark your answer as

A worker was hired for 5 days. What was her average daily wage for 5 days?
(1) She was paid a total of Rs. 500 for 5 days.
(2) She earned Rs. 100 the first day and Rs. 100 the last day.

  1. if you can get the answer from (1) alone, but not from (2) alone
  2. if you can get the answer from (2) alone, but not from (1) alone
  3. if you can get the answer from (1) and (2) together, although neither statement by itself suffices
  4. if (1) alone suffices and (2) alone suffices
  5. if you cannot get the answer from (1) and (2) together, and need even more data
Question 5 Multiple Choice (Single Answer)

Directions: The following problem has a question and two statements labelled (1) and (2). You have to decide whether the statements are sufficient to answer the question. Mark your answer as

How much does Sajan weigh?
(1) Sajan and Ram together weigh 90 kg.
(2) Ram weighs twice as much as Sajan.

  1. if you can get the answer from (1) alone, but not from (2) alone
  2. if you can get the answer from (2) alone, but not from (1) alone
  3. if you can get the answer from (1) and (2) together, although neither statement by itself suffices
  4. if (1) alone suffices and (2) alone suffices
  5. if you cannot get the answer from (1) and (2) together, and need even more data
Question 6 Multiple Choice (Single Answer)

Directions: The following problem has a question and two statements labelled (1) and (2). You have to decide whether the statements are sufficient to answer the question. Mark your answer as

Mr. Carpenter wants to build a room in the shape of a rectangle. The area of the floor will be 32 square feet. What is the length of the floor?
(1) The length of the floor will be twice the width of the floor.
(2) The width of the floor will be 4 feet less than the length of the floor.

  1. if you can get the answer from (1) alone, but not from (2) alone
  2. if you can get the answer from (2) alone, but not from (1) alone
  3. if you can get the answer from (1) and (2) together, although neither statement by itself suffices
  4. if (1) alone suffices and (2) alone suffices
  5. if you cannot get the answer from (1) and (2) together, and need even more data
Question 7 Multiple Choice (Single Answer)

Directions: The following problem has a question and two statements labelled (1) and (2). You have to decide whether the statements are sufficient to answer the question. Mark your answer as

If x = k, is the expression x3 + ax2 + bx equal to zero?
(1) a = 0
(2) – b = k2

  1. if you can get the answer from (1) alone, but not from (2) alone
  2. if you can get the answer from (2) alone, but not from (1) alone
  3. if you can get the answer from (1) and (2) together, although neither statement by itself suffices
  4. if (1) alone suffices and (2) alone suffices
  5. if you cannot get the answer from (1) and (2) together, and need even more data
Question 8 Multiple Choice (Single Answer)

Directions: The following problem has a question and two statements labelled (1) and (2). You have to decide whether the statements are sufficient to answer the question. Mark your answer as

Two different holes: hole A and hole B are put in the bottom of a full water tank.
If the water drains out through the holes, in how much time will the tank be empty?
(1) If only hole A is put in the bottom, the tank will be empty in 24 minutes.
(2) If only hole B is put in the bottom, the tank will be empty in 42 minutes.

  1. if you can get the answer from (1) alone, but not from (2) alone
  2. if you can get the answer from (2) alone, but not from (1) alone
  3. if you can get the answer from (1) and (2) together, although neither statement by itself suffices
  4. if (1) alone suffices and (2) alone suffices
  5. if you cannot get the answer from (1) and (2) together, and need even more data
Question 9 Multiple Choice (Single Answer)

Directions: The following problem has a question and two statements labelled (1) and (2). You have to decide whether the statements are sufficient to answer the question. Mark your answer as

Find the value of x.
(1) x + y = 6
(2) 2x – 2y = 12

  1. if you can get the answer from (1) alone, but not from (2) alone
  2. if you can get the answer from (2) alone, but not from (1) alone
  3. if you can get the answer from (1) and (2) together, although neither statement by itself suffices
  4. if (1) alone suffices and (2) alone suffices
  5. if you cannot get the answer from (1) and (2) together, and need even more data
Question 10 Multiple Choice (Single Answer)

Directions: The following problem has a question and two statements labelled (1) and (2). You have to decide whether the statements are sufficient to answer the question. Mark your answer as

Binny and Sanjay are standing together on a sunny day. Binny’s shadow is 10 feet long and Sanjay’s shadow is 9 feet long. How tall is Sanjay?
(1) Binny is 6 feet tall.
(2) Binny is standing 2 feet away from Sanjay.

  1. if you can get the answer from (1) alone, but not from (2) alone
  2. if you can get the answer from (2) alone, but not from (1) alone
  3. if you can get the answer from (1) and (2) together, although neither statement by itself suffices
  4. if (1) alone suffices and (2) alone suffices
  5. if you cannot get the answer from (1) and (2) together, and need even more data
Question 11 Multiple Choice (Single Answer)

Directions: The following problem has a question and two statements labelled (1) and (2). You have to decide whether the statements are sufficient to answer the question. Mark your answer as

A dozen eggs cost Rs. 9 in January 1990. Did a dozen eggs cost more than Rs. 9 in January 1991?
(1) In January 1990, the average worker had to work 5 minutes to pay for a dozen eggs.
(2) In January 1991, the average worker had to work 4 minutes to pay for a dozen eggs.

  1. if you can get the answer from (1) alone, but not from (2) alone
  2. if you can get the answer from (2) alone, but not from (1) alone
  3. if you can get the answer from (1) and (2) together, although neither statement by itself suffices
  4. if (1) alone suffices and (2) alone suffices
  5. if you cannot get the answer from (1) and (2) together, and need even more data
Question 12 Multiple Choice (Single Answer)

Directions: The following problem has a question and two statements labelled (1) and (2). You have to decide whether the statements are sufficient to answer the question. Mark your answer as

Is x greater than y?
(1) x2 is greater than y2.
(2) x + 3 is greater than y + 2.

  1. if you can get the answer from (1) alone, but not from (2) alone
  2. if you can get the answer from (2) alone, but not from (1) alone
  3. if you can get the answer from (1) and (2) together, although neither statement by itself suffices
  4. if (1) alone suffices and (2) alone suffices
  5. if you cannot get the answer from (1) and (2) together, and need even more data
Question 13 Multiple Choice (Single Answer)

Directions: The following problem has a question and two statements labelled (1) and (2). You have to decide whether the statements are sufficient to answer the question. Mark your answer as

Mr. Parker earned Rs. 20,000 in 1967. What is Mr. Parker’s average yearly income for the three years 1997 to 1999?
(1) He made 10% more in each year than he did in the previous year.
(2) His total combined income for 1998 and 1999 was Rs. 46,200.

  1. if you can get the answer from (1) alone, but not from (2) alone
  2. if you can get the answer from (2) alone, but not from (1) alone
  3. if you can get the answer from (1) and (2) together, although neither statement by itself suffices
  4. if (1) alone suffices and (2) alone suffices
  5. if you cannot get the answer from (1) and (2) together, and need even more data
Question 14 Multiple Choice (Single Answer)

Directions: The following problem has a question and two statements labelled (1) and (2). You have to decide whether the statements are sufficient to answer the question. Mark your answer as

C is a circle with centre D and radius 2. E is a circle with centre F and radius R. Are there any points which are on both E and C?
(1) The distance from D to F is 1 + R.
(2) R = 3

  1. if you can get the answer from (1) alone, but not from (2) alone
  2. if you can get the answer from (2) alone, but not from (1) alone
  3. if you can get the answer from (1) and (2) together, although neither statement by itself suffices
  4. if (1) alone suffices and (2) alone suffices
  5. if you cannot get the answer from (1) and (2) together, and need even more data
Question 15 Multiple Choice (Single Answer)

Directions: The following problem has a question and two statements labelled (1) and (2). You have to decide whether the statements are sufficient to answer the question. Mark your answer as

A plane flies over New Delhi. What is its speed in km per hour?

(1) The plane is flying in a circle.
(2) The plane is flying at the speed of 1/9 km per second.

  1. if you can get the answer from (1) alone, but not from (2) alone
  2. if you can get the answer from (2) alone, but not from (1) alone
  3. if you can get the answer from (1) and (2) together, although neither statement by itself suffices
  4. if (1) alone suffices and (2) alone suffices
  5. if you cannot get the answer from (1) and (2) together, and need even more data

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Data Sufficiency (149 questions)

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