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 this question, 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 decide the appropriate answer.
Q. Five students – Isha, Kavita, Meenal, Nisha, and Priti – scored different marks.Who scored the second highest?
(I) Meenal scored more than Isha but less than Nisha.
(II) Priti scored more than Meenal but less than Nisha.- 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 along with a set of statements is given. Find which of the given statements is/are sufficient to answer the given question.
Question:
Find the perimeter of a triangle given that:
Statements:
I. Area of the triangle is 24 sq. units.
II. Height of the triangle is 4 units. A question along with a set of statements is given below. We have to find which of the given statements is/are sufficient to answer the given question.
Question : Find the area of the triangle PQR.
Statements :
I. PQ = 5 m., PR = 5 m.
II. Length of PO is 4 m.
