Question: What is the cost of one item?
Statements: I. Total cost of 5 identical items = 100
II. The items are blue in colour.
Statement Analysis for Item Cost
The question asks for the cost of one item based on the information provided in two statements.
Statement I Sufficiency
Statement I says that the total cost of 5 identical items is 100. Let the cost of one item be $C$. Since the items are identical, they all have the same cost.
We can write this as an equation:
$5 \times C = 100$
To find the cost of one item ($C$), we can solve this equation:
$C = \frac{100}{5}$
$C = 20$
Therefore, Statement I alone provides sufficient information to determine that the cost of one item is 20.
Statement II Sufficiency
Statement II states that the items are blue in colour. This information is about the physical characteristic (color) of the items and does not provide any numerical value or relationship related to their cost.
The color of an item does not determine its cost. Hence, Statement II alone is not sufficient.
Conclusion
Since Statement I alone allows us to calculate the cost of one item, it is sufficient to answer the question. Statement II provides irrelevant information regarding the cost.
Important Questions from Data Sufficiency (Notes)
- In light of the statements I and II choose the most appropriate option.
If a group comprises of five persons A, B, C, D and E, then how many persons are taller than E?
Statement (I) A is taller than B and B is shorter than A and E only.
Statement (II) C is shorter than A and A is shorter than E. - In light of the statements I and II choose the most appropriate option.
Eight boxes- A, B, C, D, P, Q, R and S are stacked vertically but not necessarily in the same order. Which among them is kept immediately above R?
Statement (I) Only three boxes are kept above D and only one box is kept between D and Q. Q is kept lower than D and is immediately below P.
Statement (II) Only one box is kept between A and C. C is kept three boxes above Q. As many boxes are kept above B as are kept below R. A question is followed by two statements numbered I and II. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and select the most appropriate answer.
C, I, L, N, R, and Y live on six different floors of the same building. The lowermost floor in the building is numbered 1, the floor above it is numbered 2, and so on, till the topmost floor is numbered 6. Who among them lives immediately above Y?
(I) Only four people live between N and I. C lives immediately below I.
(II) Only one person lives between C and R. Y lives immediately above N.P and Q are children of S. Who is the father of P? To answer this question which of the statements (1) and (2) is/are necessary?
(1) R is the brother of P and the son of T.
(2) U is the mother of Q.Given below is a question followed by two statements, I and II, each containing some information. Decide which of the statements are sufficient to answer the question.
Question:
Rajesh's salary is Rs. 12,500. What is Arvind's salary?
Statements
I. Arvind gets $\frac{3}{5}$th of the total salary of his and Rajesh'
II. Two-thirds of Arvind's salary is equal to the average salary of both.
