Five men decide to go shopping to Karol Bagh, Delhi. They arrived at the designated meeting place in the following order: 1. Raman, 2. Aman, 3. Dev, 4. Sanjay, and 5. Kamal. Each men spent at least Rs. 1000 below are some additional facts about how much they spent during their shopping spree.
i. The man who spent Rs. 2234 arrived before the man who spent Rs. 1193.
ii. One man spent Rs. 1340 and he was not Dev.
iii. One man spent Rs. 1378 more than Aman.
iv. One man spent Rs. 2517 and he was not Raman.
v. Sanjay spent more than Dev.
vi. Kamal spent the largest amount and Aman the smallest.
The men who spent Rs. 1193 is
Five men decide to go shopping to Karol Bagh, Delhi. They arrived at the designated meeting place in the following order: 1. Raman, 2. Aman, 3. Dev, 4. Sanjay, and 5. Kamal. Each men spent at least Rs. 1000 below are some additional facts about how much they spent during their shopping spree.
i. The man who spent Rs. 2234 arrived before the man who spent Rs. 1193.
ii. One man spent Rs. 1340 and he was not Dev.
iii. One man spent Rs. 1378 more than Aman.
iv. One man spent Rs. 2517 and he was not Raman.
v. Sanjay spent more than Dev.
vi. Kamal spent the largest amount and Aman the smallest.
The men who spent Rs. 1193 is
One of the men spent 2517 – 1378 = 1139, he is Aman. This is the only possibility as we add Rs. 1378 even to the least amount Rs. 1193, we will not be able to satisfy all the conditions given simultaneously.
So, the table obtained is:
Raman | Aman | Dev | Sanjay | Kamal |
2234 | 1139 | 1139 | 1340 | 2517 |
(c)
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(c) &n
the highest average is Rs. 136
Using the data from above question, the lowest average is Rs. 100.
We get the following table of earnings:
Persons | Win Total | Average |
P | 36 * 150 + 14 * 100 = 6800 | 136 |
Q | 34 * 150 + 21 * 100 = 7200 | 131 |
R | 23 * 150 + 36 * 100 = 6850 | 116 |
S | 30 * 150 + 30 * 100 = 6000 | 100 |
Now we can see that the largest difference
= Maximum – Minimum = Rs. 7500 – Rs. 6800
= Rs. 700
IITs = 60; IIMS = 40
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