Age Riddle: Finding the Eldest Person
This problem involves comparing the ages of four individuals: Ram, Shyam, Sohan, and Mohan. We need to determine who is the eldest based on the given relationships.
Analyzing Age Relationships
Let's break down the information provided:
- The age of Ram is twice the age of Shyam.
- The age of Ram is half the age of Sohan.
- Shyam is elder than Mohan.
Representing Ages with Variables
To make the comparison clearer, let's use variables to represent their ages:
- Let Ram's age be R.
- Let Shyam's age be S.
- Let Sohan's age be H.
- Let Mohan's age be M.
Translating Statements into Equations
Now, let's convert the statements into mathematical equations using the variables:
- "The age of Ram is twice the age of Shyam": R = 2 * S
- "The age of Ram is half the age of Sohan": R = H / 2
- "Shyam is elder than Mohan": S > M
Calculating Relative Ages
From the equations, we can deduce the relationships between the ages:
- From R = 2 * S, we know Ram is older than Shyam.
- From R = H / 2, we can rearrange it to find Sohan's age in terms of Ram's age: H = 2 * R. This means Sohan is twice as old as Ram.
- Now substitute the first equation (R = 2 * S) into the rearranged second equation (H = 2 * R):
H = 2 * (2 * S)
H = 4 * S
- This shows that Sohan's age (H) is four times Shyam's age (S).
- We also know that Shyam is older than Mohan (S > M).
Determining the Eldest Person
Let's list the age relationships we found:
- Sohan's age (H) is 4 times Shyam's age (S).
- Ram's age (R) is 2 times Shyam's age (S).
- Shyam's age (S) is greater than Mohan's age (M).
Comparing these, we can see the order from oldest to youngest:
Sohan (H = 4 * S) is the oldest, followed by Ram (R = 2 * S), then Shyam (S), and finally Mohan (M < S).
Therefore, Sohan is the eldest among the four.
Similar Questions
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- Find the odd one from the following.
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Important Questions from Analytical Decision Making
A college council is auditioning students for a cultural festival. They must satisfy the following criteria —
1. Student must know at least one dance form.2. Student must know to play at least one musical instrument.
3. Student must have good acting skills.
Which one of the following will the council definitely select?
A. Z is a Bharat Natyam dancer, a violinist but does not have any acting skills.
B. P plays football, guitar, has acted in road shows and is a classical dancer.
C. J is a contemporary dancer, a great actor and is planning to learn flute.
D. A plays sitar, is a hip-hop dancer and does not have any acting skills.
Family C has a total monthly income of Rs. 26,000 which includes a pension of Rs. 3,000 earned by th widowed gandmother. The married couple has one 3-year-old son. The family has no members who have a criminal case, they do not own a residential property and they have not received any other subsidy. They are living in a rented house for the past 6 years.
Family B consists of the grandfather, his wife, his son, his daughter-in-law and his grandson. No members earn a living. The family survives on grandfather's Rs.30,000 per month pension. The family has no members who have a criminal case, they do not own a residential property and they have not received any other subsidy. They are living in a rented house since grandfather's marriage 30 years ago.
21-year-old Sam is married to Rita who is a citizen of the country. He has the required affidavit for a fresh passport. He has the unique identity cards both of himself as well as his wife.
Farmer X has 30 acres of farm of which 15 acres was under 2 feet flood water for 10 days. The farmer's other income of Rs. 25,000/ month includes Rs. 6,000/- month subsidy. The farm had unharvested crop when it was flooded. The farm was NOT insured.
