Question
How many persons live below F (in the same type of
flat)? Answer the questions based on the information given below: Ten persons (A, B, C, D, E, F, G, H, I and J) live on 10 different flats of a 5 storey building, where the bottommost floor is 1 and the floor above is 2 and so on. There are 2 types of flats on each floor, flat A and flat B such that flat A is in the west of flat B. Flat A of floor 1 is immediately below of flat A of floor 2, which is immediately below of flat A of floor 3 and so on, similarly for flat B. The dimensions of each of the flats is same There are two floors between the floors of J and G (both of them may or may not live in the same type of flat). J lives on first floor. J lives south west of B. F lives 2 floors above B (both live in the same type of flat). D lives immediately above floor H, who doesn’t live anywhere below B’s floor. A lives above D’s floor but not in flat A. E doesn’t live on a prime numbered floor. C doesn’t live immediately above B.Solution
1. There are two floors between the floors of J and G (both of them may or may not live in the same type of flat). J lives south west of B. J lives on first floor. 2. F lives 2 floors above B (both live in the same type of flat). 3. D lives immediately above H, who doesn’t live below anywhere B’s floor. So, G must live above J’s floor either in flat A or B. Both F and B live in flat B. Case 1: When G lives in the flat B. 
4. A lives above D’s floor but not in flat A. E doesn’t live in a prime numbered floor. C doesn’t live immediately above B. So, A lives in on 5th floor in flat B. Case 2(b): When both G and J live in the same flat and J live on 1st floor. The final arrangement is as follows: 
28, 52, 84, 124, 172, ?.
Simplify the expression -:
If log₃(2x + 3) = 2 + log₃(x – 1), find x.
If f(g(x))= x, where f and g are inverses of each other and f’(x) = 1/(1+x ² ), then g’(x) equals:
? = 234.87 + 32.14% of (59.88 x 70.04)
A bag contains coins of ₹1, ₹2, and ₹5 denominations in the ratio 3:2:1. If the total amount in the bag is ₹240, find the number of ₹2 coins.
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Find the distance between the points (2, 5) and (7, 1).
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