Data Sufficiency Model Questions Set 1 Practice Questions Answers Test With Solutions & More Shortcuts

DATA SUFFICIENCY PRACTICE TEST [1 - EXERCISES]

Data Sufficiency Model Questions Set 1

Question : 1

Directions:

Each question below is followed by two statements I and II. You are to determine whether the data given in the statements is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose between the possible answers.
  1. (a) if the statement I alone is sufficient to answer the question, but the statement II alone is not sufficient.
  2. (b) if the statement II alone is sufficient to answer the question, but the statement I alone is not sufficient.
  3. (c) if both statements I and II together are needed to answer the question.
  4. (d) if either the statement I alone or statement II alone is sufficient to answer the question.
  5. (e) if you cannot get the answer from the statement I and II together, but need even more data
Towards which direction was D facing when he started his journey?
I. D walked 20 metres after he started, took a right turn and walked 30 metres and again took a right turn and faced West.
II.D walked 20 metres after he started, took a left turn and walked 30 metres and again took a left turn and faced West.

a) if either the statement I alone or the statement II alone is sufficient to answer the question.

b) if the statement I alone is sufficient to answer the question, but the statement II alone is not sufficient.

c) if both statements I and II together are needed to answer the question.

d) if the statement II alone is sufficient to answer the question, but the statement I alone is not sufficient.

e) if you cannot get the answer from the statements I and II together, but need even more data.

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Answer: (c)

data-sufficiency-mcq-problems-competitive-exams-quantitative-aptitude

D was facing East when he started his journey, from statement II.

Question : 2

Directions:

Each question below is followed by two statements I and II. You are to determine whether the data given in the statements is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose between the possible answers.
  1. (a) if the statement I alone is sufficient to answer the question, but the statement II alone is not sufficient.
  2. (b) if the statement II alone is sufficient to answer the question, but the statement I alone is not sufficient.
  3. (c) if both statements I and II together are needed to answer the question.
  4. (d) if either the statement I alone or statement II alone is sufficient to answer the question.
  5. (e) if you cannot get the answer from the statement I and II together, but need even more data
In how many years can a simple interest of Rs. 6,570 be obtained on an amount of Rs. 36,500 ?
Statements :
I. The rate of simple interest is 6 p.c.p.a.
II. The difference between the simple interest and compound interest is Rs. 402.084.

a) if either the statement I alone or statement II alone is sufficient to answer the question.

b) if the statement I alone is sufficient to answer the question, but the statement II alone is not sufficient.

c) if both statements I and II together are needed to answer the question.

d) if the statement II alone is sufficient to answer the question, but the statement I alone is not sufficient.

Shortcut »

Answer: (b)

From statement I

⇒ years = ${6570×100}/{36500×6}$=3 years

Statement II does not give the rate of interest & so cannot be used.

Question : 3

Directions:

Each question below is followed by two statements I and II. You are to determine whether the data given in the statements is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose between the possible answers.
  1. (a) if the statement I alone is sufficient to answer the question, but the statement II alone is not sufficient.
  2. (b) if the statement II alone is sufficient to answer the question, but the statement I alone is not sufficient.
  3. (c) if both statements I and II together are needed to answer the question.
  4. (d) if either the statement I alone or statement II alone is sufficient to answer the question.
  5. (e) if you cannot get the answer from the statement I and II together, but need even more data
How is Anil related to Sanjay?
I. Sanjay's son is the brother of only sister of Anil.
II.Radhika, the only daughter of Sanjay has only two brothers.

a) if either the statement I alone or the statement II alone is sufficient to answer the question.

b) if the statement I alone is sufficient to answer the question, but the statement II alone is not sufficient.

c) if both statements I and II together are needed to answer the question.

d) if the statement II alone is sufficient to answer the question, but the statement I alone is not sufficient.

e) if you cannot get the answer from the statements I and II together, but need even more data.

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Answer: (b)

Question : 4

Directions:

Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and:
  1. If the data in Statement I alone is sufficient to answer the question, while the data in Statement II alone is not sufficient to answer the question.
  2. If the data in Statement II alone is sufficient to answer the question, while the data in Statement I alone is not sufficient to answer the question.
  3. If the data in Statement I alone or in Statement II alone is sufficient to answer the question.
  4. If the data in both the Statements I and II are not sufficient to answer the question.
  5. If the data in both the Statements I and II together are necessary to answer the question.
What is the father's present age?
Statements :
I. Father's present age is five times the son's present age.
II. Five years ago the father's age was fifteen times the son's age at that time.

a) If the data in both the Statements I and II are not sufficient to answer the question.

b) If the data in Statement I alone is sufficient to answer the question, while the data in Statement II alone is not sufficient to answer the question.

c) If the data in Statement I alone or in Statement II alone is sufficient to answer the question.

d) If the data in Statement II alone is sufficient to answer the question, while the data in Statement I alone is not sufficient to answer the question.

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Answer: (e)

Let the present age of father and son be x and y years respectively.

From statement I,

x = 5 × y ...(i)

From statement II,

x – 5 = 15 × (y – 5) ...(ii)

Solving for x and y we get x = 35. So both statements together are necessary to give the answer.

Question : 5

Directions:

Each question below is followed by two statements I and II. You are to determine whether the data given in the statements is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose between the possible answers.
  1. (a) if the statement I alone is sufficient to answer the question, but the statement II alone is not sufficient.
  2. (b) if the statement II alone is sufficient to answer the question, but the statement I alone is not sufficient.
  3. (c) if both statements I and II together are needed to answer the question.
  4. (d) if either the statement I alone or statement II alone is sufficient to answer the question.
  5. (e) if you cannot get the answer from the statement I and II together, but need even more data
What is the age of C, in a group of A, B, C, D and E, whose average age is 45 years?
I. Average of the ages of A and B is 53 years.
II.Average of the ages of D and E is 47 years

a) if either the statement I alone or the statement II alone is sufficient to answer the question.

b) if the statement I alone is sufficient to answer the question, but the statement II alone is not sufficient.

c) if both statements I and II together are needed to answer the question.

d) if the statement II alone is sufficient to answer the question, but the statement I alone is not sufficient.

e) if you cannot get the answer from the statements I and II together, but need even more data.

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Answer: (c)

Age of C = Total age – age of (A + B + D + E)

= Total age – 2 × Average ages of (A + B) – 2 × Average ages of (D + E)

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