Data Sufficiency Model Questions Set 1 Section-Wise Topic Notes With Detailed Explanation And Example Questions

MOST IMPORTANT quantitative aptitude - 1 EXERCISES

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The following question based on Data Sufficiency topic of quantitative aptitude

Questions :

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 code for 'going' in the code language ?
Statements :
I. In the code language 'where are you going' is written as 'ma ka ta re'
II. In the code language 'going to college' is written as 'lo pe ta'

(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.

The correct answers to the above question in:

Answer: (e)

From statement I + II

where are you going ma ka ta re

going to collage lo pe ta

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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
What is the three digit number?
Statements :
I. The three digit number is an exact multiple of 13.
II. The first and the third digit of the number are 7.

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.

Answer: (c)

From statement II⇒the numbers could be

707, 717, 727, 737, 747, 757, 767, 777, 787, 797.

From statement I, out of the 10 numbers only 767 is divisible by 13.

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
What is the salary of A, in a group of A, B, C, D and E, whose average salary is Rs. 65,780?
Statements :
I. Total of the salary of B and C is Rs. 88,545.
II. Total of the salary of D and E is Rs. 59,020.

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.

Answer: (c)

From statement I and II,

⇒ Salary of A

= 65780 × 5 – (88545 + 59020)

= 328900 – 147565 = Rs.181335

Question : 3

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.
How many children are there in the class ?
Statements :
I. If arranged in ascending order of height, Suma is tenth from the top.
II. In order of height, Suma is five positions above Ranjit who is eighth from the`bottom.

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.

Answer: (e)

From statement I + II

Suma's rank from the top = 10th

Suma's rank from the bottom = 8 + 5 = 13th

Number of children are there in the class = (10 + 13) - 1 = 22

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.
Among M, N, T, R and D each having different age, who is the youngest?
Statements :
I. N is younger than only D among them.
II. T is older than R and younger than M.

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.

Answer: (b)

From I ⇒ N is the youngest among them.

Question : 5

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.
How is J related to N ?
Statements :
I. R is the brother of J and N is the son of R.
II. J is the sister of R and N is the son of R.

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.

Answer: (e)

From statement I and II

⇒ J is paternal aunt of N.

Question : 6

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 area of the rectangular plot?
Statements :
I. The length of the plot is 375 metres.
II. The length of the plot is thrice it's breadth.

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.

Answer: (c)

From statement I

⇒ Length = 375 metres

From II Breadth = $375/3$ = 125metres

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