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.
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.
‘MPQO’ is related to ‘KNSQ’ in a certain way based on the English alphabetical order. In the same way, ‘DGHF’ is related to ‘BEJH’. To which of the following is ‘EINW’ related, following the same logic?
Select the triad in which the numbers are related in the same way as are the numbers of the given triads.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g., 13 – Operations on 13 such as adding/deleting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
(11, 1, 10)
(13, 7, 90)
In a certain code language, ‘BIRD’ is written as ‘DKTF’ and ‘KITE’ is written as ‘MKVG’. How will ‘EAGLE’ be written in that language?
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.
