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 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.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. The difference between father's age and son's age is 21 years now. What is the present age of the son?
Statements
I. After five years, the ratio of father's age to that of the son would be 5:2.
II. The sum of father's age and son's age after five years would be 66 years.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.
