Rama is taller than Saho. Manoj is shorter than Dinesh. Dinesh is taller than Tara but shorter than Saho. Kailash is shorter than Tara but taller than Manoj. Tara is shorter than Saho. Who is the shortest?
Manoj
Analyzing Relative Heights to Find the Shortest Person
To solve this puzzle and find the shortest person, we need to compare the relative heights of everyone mentioned based on the given statements. We can represent the relationships using inequality symbols, where > means 'taller than' and < means 'shorter than'.
Converting Statements into Height Inequalities
Let's translate each statement into a mathematical inequality:
- Rama is taller than Saho: $\text{Rama} \gt \text{Saho}$
- Manoj is shorter than Dinesh: $\text{Manoj} \lt \text{Dinesh}$ or $\text{Dinesh} \gt \text{Manoj}$
- Dinesh is taller than Tara: $\text{Dinesh} \gt \text{Tara}$
- Dinesh is shorter than Saho: $\text{Dinesh} \lt \text{Saho}$ or $\text{Saho} \gt \text{Dinesh}$
- Kailash is shorter than Tara: $\text{Kailash} \lt \text{Tara}$ or $\text{Tara} \gt \text{Kailash}$
- Kailash is taller than Manoj: $\text{Kailash} \gt \text{Manoj}$
- Tara is shorter than Saho: $\text{Tara} \lt \text{Saho}$ or $\text{Saho} \gt \text{Tara}$
Combining the Height Relationships
Now, let's combine these inequalities to create a chain showing the relative heights from tallest to shortest. We look for connections where the 'shorter' end of one inequality matches the 'taller' end of another.
From statement 4, we have: $\text{Saho} \gt \text{Dinesh}$.
From statement 3, we know Dinesh is taller than Tara: $\text{Dinesh} \gt \text{Tara}$. Combining with the previous one: $\text{Saho} \gt \text{Dinesh} \gt \text{Tara}$.
From statement 5, Tara is taller than Kailash: $\text{Tara} \gt \text{Kailash}$. Adding this to the chain: $\text{Saho} \gt \text{Dinesh} \gt \text{Tara} \gt \text{Kailash}$.
From statement 6, Kailash is taller than Manoj: $\text{Kailash} \gt \text{Manoj}$. Extending the chain: $\text{Saho} \gt \text{Dinesh} \gt \text{Tara} \gt \text{Kailash} \gt \text{Manoj}$.
Statement 1 tells us Rama is taller than Saho ($\text{Rama} \gt \text{Saho}$), placing Rama at the beginning of the chain: $\text{Rama} \gt \text{Saho} \gt \text{Dinesh} \gt \text{Tara} \gt \text{Kailash} \gt \text{Manoj}$.
Statements 2 ($\text{Dinesh} \gt \text{Manoj}$) and 7 ($\text{Saho} \gt \text{Tara}$) are consistent with the combined chain and do not add new relative positions between the people already linked in the primary chain.
Identifying the Shortest Person
The combined chain clearly shows the order from tallest to shortest based on the given information:
$\text{Rama} \gt \text{Saho} \gt \text{Dinesh} \gt \text{Tara} \gt \text{Kailash} \gt \text{Manoj}$
Looking at this sequence, the person on the far right is the shortest.
Therefore, Manoj is the shortest person.
Revision Table: Height Comparison Summary
| Relationship | Inequality | Notes |
|---|---|---|
| Rama > Saho | $\text{Rama} \gt \text{Saho}$ | Rama is the tallest based on this link |
| Saho > Dinesh | $\text{Saho} \gt \text{Dinesh}$ | Links Saho and Dinesh |
| Dinesh > Tara | $\text{Dinesh} \gt \text{Tara}$ | Links Dinesh and Tara |
| Tara > Kailash | $\text{Tara} \gt \text{Kailash}$ | Links Tara and Kailash |
| Kailash > Manoj | $\text{Kailash} \gt \text{Manoj}$ | Links Kailash and Manoj |
Additional Information on Logic Puzzles
Logic puzzles, like this height comparison problem, require careful analysis of statements to deduce relationships or sequences. A common strategy is to:
- Read each statement carefully.
- Identify the elements being compared (in this case, people and their heights).
- Represent the relationships using symbols (like > and <).
- Combine the relationships to form a complete sequence or network.
- Check for any redundant or contradictory information.
- Answer the specific question based on the deduced structure.
Practicing different types of logic puzzles helps improve critical thinking and deductive reasoning skills, which are useful in various academic and real-life situations.
Similar Questions
Horse E was running ahead of horse D in the middle of the race. Horse C was ahead of horse A but behind horse B. Horse A was running ahead of horse E. From this point on, the fourth-placed horse took the lead and won the race. If the positions of the other horses remained the same, which horse was in the middle at the end of the race?
Ina class of 64 students, Komal’s rank is 6 positions lower (i.e. towards bottom) than her friend Shikha, who is at the 59 th position from the end. What is Komal’s rank from the top in the class?
In a shopping mall, five water bottles labelled as A, B, C, D and E were placed in a rack.
The bottle A has less price than the bottle B. The bottle C has less price than the bottle D. The bottle B has less price than the bottle C and bottle A has more price than the bottle E.
If a customer wants to buy a bottle of maximum price, then which bottle he/she has to buy?O, P, Q, R, S and T are six sisters who are good at knitting. T is better than S. Q is better than R. O is better than P. Q is not as good as P. S is better than O. Who among the six is the best at knitting?
In a silk sari showroom there are 10 exclusive and highly expensive saris- 3 of Kalamkari, 3 Ikat, 2 Kanchi and 2 Banaras, are arranged in a shelf from top to bottom as follows;
There is a Banaras sari between a Kalamkari and Kanchi sari,
A Kalamkari sari between a Kanchi and an Banaras sari.
A Ikat sari between a Banaras and a Kanchi sari,
A Kanchi sari between two Ikat saris and
Two Ikat saris between a Kanchi and a Kalamkari sari.
Which type of sari is present in that arrangement in 6th place from top?
Among sevens friends A, B, C, D, E, F and G, G is elder than A and C. C is elder than D. F is elder than one friend only. A is third eldest. E is the youngest. G is younger than B. Who is the eldest?
Paresh is 14th from the left and Dileep is 16th from the right in a line of students. When both Paresh and Dileep interchange their positions, the position of Dileep becomes 21st from the right. How many students are there in the line?
Five students A, B, C, D, and E of grade '12' are writing their final exam. Student A finished his exam before student B but after C. D finished before E but after B. Who completed his exam first among the five students?
J, K, L, M, N and O are six colleagues working in an NGO. J earns more than L but less than M. K earns more than J but less than N. N earns less than O but more than M. K earns less than M. Who among the six earns the most?
Among five friends, Vivek is elder than Akram. Sumit is elder than Dara. Manjeet is younger than Dara. Two persons are elder than Sumit. Who is the eldest among those friends?
Important Questions from Ordering and Ranking
Three persons A, Band Care standing in a queue not necessarily in the same order. There are 4 persons between Aand B, and 7 persons between Band C. If there are 11 persons ahead of Cand 13 behind A, what could be the minimum number of persons in the queue?
In a class of 60 students, where the number of girls is twice that of boys, Kamal, a boy, ranked seventeenth from the top. If there are 9 girls ahead of Kamal, the number of boys in rank after him is:
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?
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 the last one in the week?
