TS Police SI Mains 2018 Arithmetic and Reasoning

L --> M
I --> E
T --> V
M --> N
U --> O
S --> T

Statement 1 alone tells us that both B and D are not the tallest. 
However, we cannot say for sure whether E is the tallest or not. 

From statement 2, we can see that even E is not taller than A. 
A is the tallest of all when we combine the information given in the 2 sentences. 
Hence, both statements are needed to determine answer. 

Statement 1 alone gives us no idea what the height of the cone might be.
Only when we combine statement 1 and 2 we can see that height = base radius because semi-vertical angle = 45 degrees.
Hence, both the statements are needed. 

Statement 1 does not give us any idea of how many distinct numbers and what their powers are which will help us arrive at the number of factors of number n.

However, if statement 2 is true, then $$n=x^3$$ where x is a prime number, then number of factors of n = 3+1 = 4
Hence, statement 2 alone is sufficient.  

Even when we combine both the statements, the only certain conclusion we can make is that B is the shortest.
height in descending order can A,C,B or C,A,B 
Hence, both the statements cannot answer the question. 

We know that $$I\ =\ \frac{P\cdot N\cdot R}{100}$$

Knowing P and I is not sufficient to arrive at the value of R as number of years can be anything and thus, affect the rate of interest. 

m*n = odd integer means that both m and n are odd integers. 

m+n = Odd can be because of 2 cases:
a) m is odd, n is even
b) m is even, n is odd.

Hence, statement 1 alone can answer the question. 

The question makes it clear that the angles of the triangle would be 90-45-45. 
Hence, statement 1 itself cannot be true in this case at any cost. 
Knowing any side of the 90-45-45 triangle is enough to know the area of the triangle.
Hence, statement 2 alone can answer the question. 

Sum of "n" terms in any arithmetic progression requires knowing either/both the first term and last term of the series And/or the common difference. 

Here, the first and last term of the AP are given and hence, both are needed to compute the sum. 

Statement 1 alone leaves it quite ambiguous whether A is a male or a female.
However, statement 2 makes it clear that A is a male and thus, no chance of him being a sister of B. 
Hence, statement 2 alone makes it possible to answer the question.