Important Formulas: Data Sufficiency | Quantitative Aptitude for SSC CGL PDF Download

Understanding Solution Selections

To tackle data sufficiency questions, it is essential to comprehend the question first and then make a selection based on it. The questions will present specific information along with two labeled statements, I and II. Your task is to assess whether the information provided in statements I and II is sufficient to arrive at a solution. Utilizing all the data in the statements along with your mathematical skills and established facts (e.g., the sun rises in the east or the meaning of niece), the selection should be made from the following options:
(a) Data in statement 1 is sufficient alone to determine the answer.
(b) Data in statement 2 is sufficient alone to determine the answer.
(c) Data in either of the statements is sufficient to determine the answer.
(d) Data provided in both the statements together are not sufficient to determine the answer.
(e) Data in both statements are required to determine the answer.

Note: In data sufficiency problems, mark "the data given in the statements is satisfactory" only when a numerical outcome or solution is achievable.

Q1: Who is the father of A.
Statement I: x and y are brothers.
Statement II: y’s wife is the sister of A’s wife.
(a) Data in statement 1 is sufficient alone to determine the answer.
(b) Data in statement 2 is sufficient alone to determine the answer.
(c) Data in either of the statements is sufficient to determine the answer.
(d) Data provided in both the statements together are not sufficient to determine the answer.
Ans: (d)
The statement I gives the relation between X and Y. So statement I alone cannot determine the answer. Through statement II we can determine that Y is the brother-in-law of A. Thus using both the statements you cannot determine the father of A. hence option D is correct.

Q2: What will be the total weight of 80 books, each of the same weight ?
Statements:
One-fourth of the weight of each book is 5 kg.
The total weight of three books is 20 kilograms more than the total weight of two books.
(a) I alone is sufficient while II alone is not sufficient.
(b) II alone is sufficient while I alone is not sufficient
(c) Either I or II is sufficient
(d) Both I and II are sufficient
Ans: (c)
From I, we conclude that the weight of each book = (4×5) kg = 20 kg.
So, total weight of 10 books = (20 x 10) kg = 200 kg.
From II, we conclude that:
Weight of each book = (weight of 3 book) – (weight of 2 book) = 20 kg.
So, total weight of 10 books = (20 x 10) kg = 200 kg.

Q3: How much was the total sale of the shop ?
Statements:
The shop sold 2500 units of masks each costing Rs. 15.
This company has no other product line.
(a) I alone is sufficient while II alone is not sufficient
(b) II alone is sufficient while I alone is not sufficient
(c) Either I or II is sufficient
(d) Both I and II are sufficient
Ans: (c)
From I, total sale of 8000 units of masks = Rs. (2500 x 15) = Rs. 37500.
From II, we know that the company deals only in masks
This implies that sale of masks is the total sale of the shop, which is Rs. 37500

Q4: In which year was Dhoni born?
Statement:
At present Dhoni is 21 years younger to his father.
Dhoni’s brother, who was born in 2001, is 28 years younger to his father.
(a) 1 alone is sufficient while 2 alone is not sufficient
(b) 2 alone is sufficient while 1 alone is not sufficient.
(c) Either I or II is sufficient
(d) Both I and II are sufficient
Ans: (d)
From both I and II, we find that Dhoni is (28 – 21) = 7 years older than his brother, who was born in 2001. So, Dhoni was born in 1996.

Q5: How many children does Mahi have ?
Statements:
Harsha is the only daughter of Y who is the wife of Mahi.
Karan and Jivan are brothers of Mahi.
(a) I alone is sufficient while II alone is not sufficient
(b) II alone is sufficient while I alone is not sufficient
(c) Either I or II is sufficient
(d) Both I and II are sufficient
Ans: (a)
From I, we conclude that Harsha is the only daughter of Mahi. But this does not indicate that Mahi has no son. The information given in II is immaterial.