Data Sufficiency Questions and Answers

Data Sufficiency Questions​

Formula

Definition of Data Sufficiency

Data Sufficiency includes the questions, which requires to check whether the information or figures offered in the two statements are adequate to provide the answer to the question or not. Such problems comprise two statements, which are labelled as I and II. Both the statement contains certain data which is required to answer the question. These questions do not require a solution, but these are made to check whether the statements provided are sufficient to answer them. The statement will be deliberated as sufficient if the answer obtained is unique, and if a question is not solved using the statement/statements or the answers obtained are multiple, then the provided statements would be considered as insufficient. Data Sufficiency uses indirect and direct information about various concepts of Mathematics. The answers in the questions are marked as:
  • If data in statement I alone is sufficient to acquire the answer, but statement II alone is insufficient.
  • If data in statement II alone is sufficient to acquire the answer, but the statement I alone is insufficient
  • If data in both the statements together are sufficient to acquire the answer, but neither statement I and II alone is sufficient to answer the question;
  • If the data in each statement individually is sufficient to acquire the answer;
  • If data given in both the statement I and II are not sufficient to acquire, and more information is needed to answer the question.

Rules

  • Consider each statement as an individual statement and treat it as an independent statement.
  • To solve every question, first, check the statement I and ensure that whether the answer can be acquired from the statement I alone. If a confirmed answer is developed from the first statement, then the answer will be (a) or (d).
  • Now, consider the second statement. If statement II is autonomously adequate to provide the answer to the question and statement, I is not adequate to answer, then mark the option (b) or (d) as the answer.
  • There is a possibility where both the statements are required to provide the answer to the question, and neither of both the statement alone has the essential information to acquire the answer. In that case, it is required to choose option (c) as the correct answer.
  • After looking carefully at statement I, the options such as either A and D or B, C, and E can be eliminated immediately. This tool is very powerful and can be on every question of Data Sufficiency.

Question 1

Time: 00:00:00
What is Glory's age ?
I. Glory, Vijay and Katie are all of the similar age.
II. Total age of Vijay, Katie and Arica is 32 and Arica is as old as Vijay and Katie together.

If the data in statement I alone are sufficient to answer the question

If the data in statement I alone are sufficient to answer the question

If the data in statement II alone are sufficient answer the question

If the data in statement II alone are sufficient answer the question

If the data either in I or II alone are sufficient to answer the question

If the data either in I or II alone are sufficient to answer the question

If the data in both the statements together are needed.

If the data in both the statements together are needed.

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Question 2

Time: 00:00:00
In a certain code language, ‘23’ means ‘No More and ‘79’ means ‘harmful thing’. What is the meaning of ‘9’ and ‘7’ respectively in that code?
I. ‘274’ means ‘no bad thing’
II. ‘839’ means ‘more is harmful’.

If the data in statement I alone are sufficient to answer the question

If the data in statement I alone are sufficient to answer the question

If the data in statement II alone are sufficient answer the question

If the data in statement II alone are sufficient answer the question

If the data either in I or II alone are sufficient to answer the question

If the data either in I or II alone are sufficient to answer the question

If the data even in both the statements together are not sufficient to answer the question

If the data even in both the statements together are not sufficient to answer the question

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Question 3

Time: 00:00:00
Five friends- Aka, Bka, Cka, Dka and Eka are sitting in a row. Among all who is sitting in the middle?
I. Bka is in between Eka and Cka.
II. Bka is to the right of Eka.
III. Dka is in between Aka and Eka.

I and II together

I and II together

II and III together

II and III together

I and III together

I and III together

I, II and III together

I, II and III together

Data insufficient.

Data insufficient.

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Question 4

Time: 00:00:00
Four Subjects --- Psychology, Accounting, Arts and Zoology were taught in four successive periods of one hour each starting from 2.00 p.m. At what time was the Accounting period scheduled?
I. Arts period ended at 4.00 pm which was preceded by Zoology.
II. Psychology was scheduled in the last period.
III. Arts period was immediately followed by Accounting.

Only I

Only I

Only I or II

Only I or II

Only II

Only II

II and III together.

II and III together.

I and II together or I and III together

I and II together or I and III together

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Question 5

Time: 00:00:00
How many sons does Arjuna have?
I. Sapura and Adyta are brothers of Sassy.
II. Nubba is sister of Carmela and Adyta.
III. Nubba and Sassy are daughters of Arjuna.

I and II only.

I and II only.

II and III together.

II and III together.

I, II and III together

I, II and III together

I, II, III together are not sufficient

I, II, III together are not sufficient

I and III together

I and III together

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Question 6

Time: 00:00:00
Zuber, Krishna and Amrish will distribute their profit in what proportion?
I. Zuber gets 2/5th of the profit.
II. 75% of the total investment is made by Krishna and Amrish.

If the data in statement I alone are sufficient to answer the question

If the data in statement I alone are sufficient to answer the question

If the data in statement II alone are sufficient answer the question

If the data in statement II alone are sufficient answer the question

If the data either in I or II alone are sufficient to answer the question

If the data either in I or II alone are sufficient to answer the question

If the data even in both the statements together are not sufficient to answer the question

If the data even in both the statements together are not sufficient to answer the question

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Question 7

Time: 00:00:00
A domesticated shop sells only parrots and rabbit. If the ratio of parrots to rabbits is 3:2, how many parrots are in the domesticated shop?
I. If the number of rabbits were to double, the ratio would be 3:4.
II. If 3 rabbits were added, there would be more rabbits than parrots.

If the data in statement I alone are sufficient to answer the question

If the data in statement I alone are sufficient to answer the question

If the data in statement II alone are sufficient answer the question

If the data in statement II alone are sufficient answer the question

If the data either in I or II alone are sufficient to answer the question

If the data either in I or II alone are sufficient to answer the question

If the data even in both the statements together are not sufficient to answer the question

If the data even in both the statements together are not sufficient to answer the question

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Question 8

Time: 00:00:00
If x = 5, what is value of y + z?
(A) x is the average of the set {x,y,z}
(B) xy + xz = 10

If the data in statement I alone are sufficient to answer the question

If the data in statement I alone are sufficient to answer the question

If the data in statement II alone are sufficient answer the question

If the data in statement II alone are sufficient answer the question

If the data either in I or II alone are sufficient to answer the question

If the data either in I or II alone are sufficient to answer the question

If the data either in I or II together are sufficient to answer the question

If the data either in I or II together are sufficient to answer the question

If the data even in both the statements together are not sufficient to answer the question

If the data even in both the statements together are not sufficient to answer the question

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Question 9

Time: 00:00:00
In two sides of equal length triangle XYZ, what is the measure of angle X?
I. Angle Y = 30 degrees
II. Angle Z = 120 degrees

If the data in statement I alone are sufficient to answer the question

If the data in statement I alone are sufficient to answer the question

If the data in statement II alone are sufficient answer the question

If the data in statement II alone are sufficient answer the question

If the data either in I or II alone are sufficient to answer the question

If the data either in I or II alone are sufficient to answer the question

If the data either in I or II together are sufficient to answer the question

If the data either in I or II together are sufficient to answer the question

If the data even in both the statements together are not sufficient to answer the question

If the data even in both the statements together are not sufficient to answer the question

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Question 10

Time: 00:00:00
What day is the 14th of a specified month?
I. Wednesday is the last day
II. 17th is the 3rd Saturday

If the data in statement I alone are sufficient to answer the question

If the data in statement I alone are sufficient to answer the question

If the data in statement II alone are sufficient answer the question

If the data in statement II alone are sufficient answer the question

If the data either in I or II alone are sufficient to answer the question

If the data either in I or II alone are sufficient to answer the question

If the data even in both the statements together are not sufficient to answer the question

If the data even in both the statements together are not sufficient to answer the question

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Question 11

Time: 00:00:00
Is the triangle below are with all equal sides?


I. p = q
II. r = 50

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked

BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient

BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient

EACH statement ALONE is sufficient to answer the question asked

EACH statement ALONE is sufficient to answer the question asked

Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed

Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed