Hi below I am giving you the E-litmus questions/puzzles for so you can have a look


Elitmus Interview Puzzle - Aptitude #2 - AP and Ratio Interview Question

Difficulty Popularity
Let Sn represent the sum of first n terms of an AP.

If S2n = 3Sn, then what will be the ratio S3n/Sn be equal to?
a) 2
b) 4
c) 6
d) 10

Elitmus Interview Puzzle - Aptitude #3 - Bouncing Object Interview Puzzle

Difficulty Popularity
A round bouncing object is dropped from a building of height 20 feet. Every time it touches the floor, it bounces back to a height which is one half of the height of the last bounce.

If you measure till the objects comes to rest, how much distance would it have covered by then?

a) 30 feet
b) 40 feet
c) 50 feet
d) 60 feet

Elitmus Interview Puzzle - Aptitude #4 - Arithmetic Interview Puzzle

Difficulty Popularity
Solve the following

ABC
* DEC
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FBGC
FHCE
GDE
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HBHIC


1. 99^n is such a number begin with 8, least value of n?
(a) 11
(b) 10
(c) 9
(d) n does not exist
Answer:
Explanation:
In a more traditional way, this problem can be solved like below.
99(100 - 1) = 9900-99= 9801
9801(100 - 1) = 980100-9801= 971299
971299(100 - 1) = 97129900 - 971299 = 96157601
.....
.....
Just observe the pattern, 98, 97, 96, .... for power of 2, 3, 4, .... So for 90 the power could be 10. So for 11, you get a number starts with 8.
Alternate method:
In a more elegant way, we can solve this question using logarithms.
For example, log 90 = 1.9542, log 89 = 1. 9493.
Here characteristic is same as both numbers are two digit numbers. Mantissa of 89 is less than mantissa of 90.
Similarly if you want to find a number starts with 8, it should be just less than a number starts with 9 and minimum.
⇒9.10x>99n