In a class, five children wrote the aptitude test.
C
Understanding the Aptitude Test Ranking Problem
The question asks us to determine which child received the second-highest marks in an aptitude test based on several comparative statements about the marks of five children (A, B, C, D, and E).
Analyzing the Given Statements
Let's write down the given information as inequalities:
- Child A got less marks than child B: $\text{A} < \text{B}$
- Child C got less marks than child D: $\text{C} < \text{D}$
- Child B got less mark than child C: $\text{B} < \text{C}$
- Child A got more marks than child E: $\text{A} > \text{E}$, which is the same as $\text{E} < \text{A}$
Combining the Inequalities to Determine Ranking
We need to combine these statements to create a single order of marks from lowest to highest or highest to lowest.
From the first statement, we have $\text{A} < \text{B}$.
The third statement tells us $\text{B} < \text{C}$. Combining this with $\text{A} < \text{B}$, we get a sequence: $\text{A} < \text{B} < \text{C}$.
The second statement is $\text{C} < \text{D}$. Adding this to our sequence, we have: $\text{A} < \text{B} < \text{C} < \text{D}$.
Finally, the fourth statement is $\text{E} < \text{A}$. Placing E in our sequence, we get the complete order from lowest marks to highest marks:
$\text{E} < \text{A} < \text{B} < \text{C} < \text{D}$
Identifying the Second-Highest Marks
Based on the combined ranking $\text{E} < \text{A} < \text{B} < \text{C} < \text{D}$, the children are ordered by marks as follows (from lowest to highest):
- E (Lowest marks)
- A
- B
- C
- D (Highest marks)
From this order, we can clearly see who got the second-highest marks.
- The child with the highest marks is D.
- The child with the second-highest marks is C.
Conclusion
Based on the step-by-step analysis of the aptitude test marks, child C received the second-highest marks.
| Rank | Child |
|---|---|
| Highest | D |
| Second-Highest | C |
| Third-Highest | B |
| Fourth-Highest | A |
| Lowest | E |
Revision Table: Aptitude Test Ranking Statements
| Statement | Inequality |
|---|---|
| A less than B | $\text{A} < \text{B}$ |
| C less than D | $\text{C} < \text{D}$ |
| B less than C | $\text{B} < \text{C}$ |
| A more than E | $\text{A} > \text{E}$ or $\text{E} < \text{A}$ |
Additional Information: Logic Puzzles and Reasoning
This type of problem is a classic example of a logic puzzle involving ranking or ordering based on comparative relationships. To solve these, it's helpful to:
- Break down the problem into individual statements.
- Represent each statement using symbols (like < or >).
- Combine the statements systematically to build a complete sequence or hierarchy.
- Carefully read the question to identify what exactly is being asked (e.g., highest, lowest, second-highest, etc.).
Practice with similar ranking and ordering problems helps improve logical reasoning and analytical skills, which are important for aptitude tests and general problem-solving.
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Important Questions from Ordering and Ranking
Examine the information given in the following paragraph and answer the items that follow: Guest lectures on five subjects viz., Economics, History, Statistics, English and Mathematics have to be arranged in a week from Monday to Friday. Only one lecture can be arranged on each day. Economics cannot be scheduled on Tuesday. Guest faculty for History is available only on Tuesday. Mathematics lecture has to be scheduled immediately after the day of Economics lecture. English lecture has to be scheduled immediately before the day of Economics lecture. Which lecture is scheduled on Monday?
Examine the information given in the following paragraph and answer the items that follow: Guest lectures on five subjects viz., Economics, History, Statistics, English and Mathematics have to be arranged in a week from Monday to Friday. Only one lecture can be arranged on each day. Economics cannot be scheduled on Tuesday. Guest faculty for History is available only on Tuesday. Mathematics lecture has to be scheduled immediately after the day of Economics lecture. English lecture has to be scheduled immediately before the day of Economics lecture. Which lecture is scheduled between Statistics and English?
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Examine the information given in the following paragraph and answer the items that follow: Guest lectures on five subjects viz., Economics, History, Statistics, English and Mathematics have to be arranged in a week from Monday to Friday. Only one lecture can be arranged on each day. Economics cannot be scheduled on Tuesday. Guest faculty for History is available only on Tuesday. Mathematics lecture has to be scheduled immediately after the day of Economics lecture. English lecture has to be scheduled immediately before the day of Economics lecture. Which lecture is scheduled on Wednesday?
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How many persons are there in the row other than 'A' and 'B'?
