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?
Vivek
Understanding the Age Ranking Puzzle
This question asks us to determine the eldest person among five friends based on several clues about their relative ages. We are given information comparing the ages of Vivek, Akram, Sumit, Dara, and Manjeet. To solve this, we need to combine the clues to establish a clear order of age from eldest to youngest.
Breaking Down the Clues for Age Ranking
Let's list the given clues and represent them using inequalities, where '>' means 'elder than' and '<' means 'younger than'.
- Vivek is elder than Akram: \( \text{Vivek} > \text{Akram} \)
- Sumit is elder than Dara: \( \text{Sumit} > \text{Dara} \)
- Manjeet is younger than Dara: \( \text{Manjeet} < \text{Dara} \), which is the same as \( \text{Dara} > \text{Manjeet} \)
- Two persons are elder than Sumit.
- There are five friends in total.
Deducing the Age Order Step-by-Step
Now, let's combine these clues to build the age ranking:
- From the clues \( \text{Sumit} > \text{Dara} \) and \( \text{Dara} > \text{Manjeet} \), we can establish a partial order for three friends: \( \text{Sumit} > \text{Dara} > \text{Manjeet} \). This means Sumit is elder than Dara, and Dara is elder than Manjeet.
- The clue "Two persons are elder than Sumit" tells us the position of Sumit in the overall age ranking of five friends. Since there are two people elder than Sumit, Sumit must be the 3rd eldest person among the five friends.
- Knowing Sumit is the 3rd eldest, and we have the sequence \( \text{Sumit} > \text{Dara} > \text{Manjeet} \), the order from 3rd eldest to youngest must be Sumit (3rd), Dara (4th), and Manjeet (5th).
- The remaining two friends are Vivek and Akram. These two friends must be the 1st (eldest) and 2nd eldest, as they are the only ones left to be older than Sumit.
- We have the clue \( \text{Vivek} > \text{Akram} \). This tells us that Vivek is elder than Akram.
- Combining this with the fact that Vivek and Akram are the 1st and 2nd eldest, Vivek must be the 1st eldest, and Akram must be the 2nd eldest.
Final Age Ranking of Friends
Putting it all together, the complete age order from eldest to youngest is:
| Rank (Eldest to Youngest) | Friend |
|---|---|
| 1st | Vivek |
| 2nd | Akram |
| 3rd | Sumit |
| 4th | Dara |
| 5th | Manjeet |
Identifying the Eldest Among the Friends
Based on our deduced age ranking, the friend in the 1st position (the eldest) is Vivek.
Revision Table: Key Deductions
| Clue | Deduction | Contribution to Final Order |
|---|---|---|
| Sumit > Dara, Dara > Manjeet | Relative order: Sumit > Dara > Manjeet | Establishes ranks 3, 4, 5 |
| Two persons elder than Sumit | Sumit is the 3rd eldest | Confirms Sumit's rank |
| Vivek > Akram | Relative order: Vivek > Akram | Establishes ranks 1, 2 |
| All friends included | Vivek and Akram must fill the 1st and 2nd ranks | Completes the sequence |
Additional Information: Logic Puzzle Solving Tips
Solving logic puzzles like this one often involves breaking down the information, using symbols or inequalities to represent relationships, and combining the pieces of information step-by-step. Here are some tips:
- List all clues: Write down every piece of information given in the puzzle.
- Use consistent notation: Represent relationships (like 'elder than', 'younger than') consistently. Inequalities (\(>\), \(<\)) are useful for ordering.
- Look for direct connections: See which clues link together (e.g., Sumit > Dara and Dara > Manjeet link Dara).
- Identify absolute positions: Clues like "Two persons are elder than Sumit" fix someone's position in the ranking, which is a crucial step.
- Eliminate possibilities: As you place people in the ranking, you eliminate them from other positions.
- Verify the final order: Check if the final deduced order satisfies ALL the original clues.
By following these steps, we successfully determined that Vivek is the eldest friend.
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?
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?
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?
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?
