Let's break this into cases with respect to common differences.
Common Difference = 0 => (1,1,1), (2,2,2), (3,3,3), (4,4,4)
Common Difference = 1 => (1,2,3), (2,3,4), (3,4,5)
Common Difference = 2 => (1,3,5), (2,4,6)
Common Difference = 3 => (1,4,7), (2,5,8)
Common Difference = 4 => (1,5,9)
Common Difference = 5 => (1,6,11)
Common Difference = 6 => (1,7,13)
Hence there are 14 possibilities such that the volume is less than 100 and the side lengths are in arithmetic progression.

For 800 km, the fuel burnt when travelling at 784 kmph = 1250*$$\sqrt{784/441}$$ = 1250*4/3
So, 5000/3 liters are required to travel 800 km
For 2000 liters, the distance that can be travelled = 2000*3/5000 * 800 = 960 km

A) There are no restrictions in this case. We have 12 chairs and 11 people. We can select an empty chair in 6 ways (because the two sides are indistinguishable). In the remaining 11 chairs, 11 people can be accommodated in 11! ways. So, in total 6*11! ways.

B) If all the 5 girls sit on the side of the empty chair, then we can select an empty chair in $$^6C_1$$ ways, boys can be arranged in 6! ways and girls can be arranged in 5! ways => $$^6C_1*6!*5!$$.
If 5 boys sit on the side of the blank chair, then one boy must sit on the side of the girls. We can select 1 boy in $$^6C_1$$ ways and one blank chair in $$^6C_1$$ ways. Now, the boys can be arranged in 5! ways and the (5 girls + 1 boy) can be arranged in 6! ways => $$^6C_1 * ^6C_1 * 6! * 5!$$.
In total, 42*6!*5!.

As @Shreya Reddyanswered it well, I suggest you to solve more questions on Permutations and combinations on Cracku CAT Quotient. Also Download Permutations and Combinations formulas for CAT, which will help you a lot.

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Important Points to note:
1. Try to find Main Point of the paragraph. As the sentences when constructed to make a paragraph presents an idea. Try to find that idea and see what role a particular sentence will play to depict the whole picture. Then arrange them accordingly to make paragraph coherent.

2. Try to see verbal connectives and logical connectives as they give hints regarding constructing the paragraph logically.
3. Try to see analogies as they should proceed with real life examples.
Hope this will help you. All the best.

Hi Gopi,

There are only two weeks left for IBPS PO. I would recommend you to practice as many mocks as you can and devise a strategy to make the best use of your time in the examination.

Improve your concentration and take the paper with a peaceful mind. As every mark is vital, it is imperative to avoid any silly mistakes in the examination.

All the best,
Maruti

A good approach would be to first get to know the meanings of all relationships and the words used for such relationships. Then draw a generation chart, which represents the generations to which the people in the question belong to. Using this generation chart, it is quite easy to understand the relationship between the people mentioned in the question.

You can refer to the below link, which has a concept on Blood Relations:
https://cracku.in/banking/ibps-crash/blood-relations

Hi Indrajit, do let us know us if you have any questions regarding preparation.

Let the total number of days taken to complete the work be T

So, C worked on all T days, A worked on T-8 days and B worked on T-12 days.

Hence, the total work done is T/72 + (T-8)/36 + (T-12)/54 = 1

Simplifying, we get 3T + 6T + 4T = 216 + 48 + 48 = 312
Or 13T = 312 and hence T=24 days.

Thanks Sir

Hi Ashwani,

The trick in seating arrangement problems is to follow the hints from words such as "sitting to the right", "sitting to the left", "sitting to the immediate right" etc. These words/phrases will give you clues as to how you should go about arranging the people.

Check out Cracku's excellent concept on Seating Arrangement here:

https://cracku.in/banking/ibps-crash/seating-arrangement