Data Sufficiency Questions

Multiple choice
  1. 1

  2. 2

  3. 3

  4. 4

  5. 5

Reveal answer Fill a bubble to check yourself
C Correct answer
Multiple choice
  1. 1

  2. 2

  3. 3

  4. 4

  5. 5

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let distance be D and speed be S. Time T = D/S. Statement I: D/(0.75S) = T - 20/60. This relates D and S but doesn't give T alone. Statement II: D/(0.5S) = T + 100/60. This also relates D and S. Together, we have two equations with two variables (D/S), allowing us to solve for T.

Multiple choice
  1. 1

  2. 2

  3. 3

  4. 4

  5. 5

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Length = Speed * Time. Statement I gives time. Statement II gives speed. Both are needed to calculate the length.

Multiple choice
  1. A

  2. B

  3. C

  4. D

  5. E

Reveal answer Fill a bubble to check yourself
C Correct answer
Multiple choice
  1. (a)

  2. (b)

  3. (c)

  4. (d)

  5. (e)

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Statement A: 0.3*N1 = 0.4*90 = 36, so N1 = 120. Statement B: 0.2*N2 = 0.36*50 = 18, so N2 = 90. Together, we can find the ratio N1/N2.

Multiple choice
  1. (a)

  2. (b)

  3. (c)

  4. (d)

  5. (e)

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

From statement I, a^2 + b^2 = 169. From statement II, ab = 90. Using (a+b)^2 = a^2 + b^2 + 2ab, we get (a+b)^2 = 169 + 180 = 349, so a+b = sqrt(349). Using (a-b)^2 = a^2 + b^2 - 2ab, we get (a-b)^2 = 169 - 180 = -11. Since the square of a real number cannot be negative, there is no real solution for a and b. Even if complex numbers are allowed, the system provides multiple possible values for a and b, so the statements together are not sufficient to determine unique values.

Multiple choice
  1. Only I and II

  2. Any two of the statements

  3. Only II and either I or III

  4. Either II or III

  5. All I, II and III

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Upstream speed = 48/12 = 4 km/h. Downstream speed = 48/6 = 8 km/h. Speed of stream = (Downstream - Upstream) / 2 = (8-4)/2 = 2 km/h. We only need two of the three statements to solve this.

Multiple choice
  1. 1

  2. 2

  3. 3

  4. 4

  5. NA

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Statement I gives the cost price for Sharma and profit percentage, but nothing about Mr. Chopra's transaction. Statement II mentions Mr. Chopra sold the phone for 5,000, but we do not know the price he bought it for from Mr. Bhardwaj. Even together, we lack the purchase price for Mr. Chopra.

Multiple choice
  1. Only statement I is sufficient.

  2. Only statement II is sufficient.

  3. Both the statements are required.

  4. Both the statements together are not sufficient.

  5. None of these

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Statement I gives position from back. Statement II gives the ratio of people before and after Kunal. Let total people be N. Position from front (F) and back (B) relates as F + B - 1 = N. With both, we can solve for N and then F.

Multiple choice
  1. Statement (A) alone is sufficient but statement (B) alone is not.

  2. Statement (B) alone is sufficient but statement (A) alone is not.

  3. Both (A) and (B) together are sufficient, but neither of them alone is sufficient.

  4. Both statements alone are sufficient.

  5. Both (A) and (B) together are not sufficient.

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Perimeter of square S = 4s. Perimeter of triangle T = 3t. We want to know if 4s > 3t. Statement (A) gives s/t = 4/5, so s = 0.8t. Then 4s = 4(0.8t) = 3.2t. Since 3.2t > 3t, statement (A) is sufficient.

Multiple choice
  1. Statement (A) alone is sufficient but statement (B) alone is not.

  2. Statement (B) alone is sufficient but statement (A) alone is not.

  3. Both (A) and (B) together are sufficient, but neither of them alone is sufficient.

  4. Both statements independently are sufficient.

  5. Both (A) and (B) together are not sufficient.

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Statement A gives total cost (120) and distance (180 km). Statement B gives cost per litre (12). Together, we find total litres used (120/12 = 10 litres) and then the average (180 km / 10 litres = 18 km/litre). Neither statement alone provides both the total fuel consumed and the total distance.

Multiple choice
  1. A

  2. B

  3. C

  4. D

  5. E

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Statement I gives the length of rectangle X, which allows finding the breadth and area of X. Statement II relates the perimeter of X to the perimeter of Y. Both are needed to find the area of Y.

Multiple choice
  1. Either statement III alone or statements I and II together are sufficient.

  2. Only statement III is sufficient.

  3. Only statement I and II is sufficient.

  4. Only statement I, II, and III are sufficient.

  5. None of these

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Statement I gives the distance by which Chandu beats Chandan. Statement II gives the ratio of speeds of Chandan and Chand. Together, these allow calculating the distance by which Chandu beats Chand. Statement III is redundant if I and II are used.

Multiple choice
  1. statement I alone is required to answer the question, but not statement II.

  2. statement II alone is required to answer the question, but not statement I.

  3. both statements I and II together are needed to answer the question.

  4. cannot be answered even with the help of both the statements together.

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

To find the meeting time, we need the length of the track. Statement I gives speeds, but not the track length. Statement II gives Gati's lap time, but not the track length. Even together, we cannot determine the track length, so we cannot solve for the meeting time.

Multiple choice
  1. statement I alone is required to answer the question, but not statement II.

  2. statement II alone is required to answer the question, but not statement I.

  3. both statements I and II together are needed to answer the question.

  4. cannot be answered even with the help of both the statements together.

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

To determine the local time, one needs the time zone difference between Mumbai and the destination. Neither the speed nor the distance provides information about the destination's longitude or time zone.