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

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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.
On which day of the week does Arti's birthday fall ?
Statements :
I. Sonu correctly remembers that Arti's birthday falls after Wednesday but before Sunday.
II. Raj correctly remembers that Arti's birthday falls before Friday but after Tuesday.

(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 I ⇒ Thursday or Friday or Saturday

From II ⇒ Wednesday or Thursday

I + II⇒ Arti's birthday falls on Thursday.

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Read more model question set 1 Based Quantitative Aptitude Questions and Answers

Question : 1

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 far does Shruti live from the school?
Statements :
I. Shruti has to cycle 3 kms to her friend Mina's house which is 4 kms from the school.
II. Gitanjali lives exactly opposite to the school and walks 2 kms to reach Shruti's house.

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: (d)

Statement I does not inform whether Mina's house is towards the school or in the other direction to Shruti's house.

From statement II, we can infer that Shruti lives 2 km from the school.

Question : 2

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 : 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
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

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