Important Formulas: Data Sufficiency | SSC CGL Tier 2 - Study Material, Online Tests, Previous Year PDF Download

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.
E.  Data in both statements are required 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:  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.

1. 1 alone is sufficient while 2 alone is not sufficient
2. 2 alone is sufficient while 1 alone is not sufficient.
3. Either I or II is sufficient
4. Neither I nor II is sufficient
5. Both I and II are sufficient

Ans: Both 1 and 2 are sufficient
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.

Q3: 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.

1. I alone is sufficient while II alone is not sufficient.
2. II alone is sufficient while I alone is not sufficient
3. Either I or II is sufficient
4. Neither I nor II is sufficient
5. Both I and II are sufficient

Ans: Either 1 or 2 is sufficient
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.

Q4: 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.

1. I alone is sufficient while II alone is not sufficient
2. II alone is sufficient while I alone is not sufficient
3. Either I or II is sufficient
4. Neither I nor II is sufficient
5. Both I and II are sufficient

Ans: 1 alone is sufficient
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.

Q5: 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.

1. I alone is sufficient while II alone is not sufficient
2. II alone is sufficient while I alone is not sufficient
3. Either I or II is sufficient
4. Neither I nor II is sufficient
5. Both I and II are sufficient

Ans: Either 1 or 2 is sufficient
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.