Question

If T means ‘-‘, R means ‘+’, P means ‘*’, M means ‘ ‘ , S means ‘=’, Q means ‘>’ and N means ‘<’ , then which one of the answers is correct?
$
  {\text{A}}{\text{. 5 P 6 M 10 R 8 T 7 N 10 T 7}} \\
  {\text{B}}{\text{. 2 R 6 Y 8 P 3 Q 7 R 2 P 3}} \\
  {\text{C}}{\text{. 35 M 5 T 2 R 12 N 6 P 3}} \\
  {\text{D}}{\text{. 35 R 8 P 2 M 4 T 10 P 3 T 7}} \\
$

Answer 1

Hint: BODMAS rule which states the order of solving as first bracket (B) then of (O) then Division (D) after that multiplication (M) then addition (A) and subtraction (S) at last. It will help us in solving the equations which are given in the options so we have to check each option using this rule to reach the answer.

Complete step-by-step answer:
In the given question, we have to substitute the symbols in place of the letters, according to the symbols mentioned in the question and we will substitute the values of the letters in all the options and then solve the equations by the BODMAS rule then figure out which of the options will come true.
Given,
T means ‘-‘
R means ‘+’
P means ‘*’
M means ‘/‘
S means ‘=’
Q means ‘>’
N means ‘<’
By substituting these symbols in the first option, we get,
5 P 6 M 10 R 8 T 7 N 10 T 7
5 * 6 / 10 + 8 – 7 < 10 – 7
30 / 10 + 1 < 4
4 < 4
This statement is false as a number cannot be less than the same number.
Now, by substituting these symbols in the second option, we get,
2 R 6 Y 8 P 3 Q 7 R 2 P 3
In the above option, a variable Y is given whose substitute symbol is not mentioned in the question so we will make the substitutions in the next option.
In the third option,
35 M 5 T 2 R 12 N 6 P 3
35 / 5 – 2 + 12 < 6 * 3
7 – 2 + 12 < 18
17 < 18
This option comes out to be true.
In the fourth option,
35 R 8 P 2 M 4 T 10 P 3 T 7
35 + 8 * 2 / 4 – 10 * 3 – 7
In the above option, this whole equation gets solved to a number and we do not get to any particular conclusion that the option is correct or not.
Therefore, the correct option is C.

Note: There will be a difference in answer if the BODMAS rule is not applied and one goes just from left to right. And calculations should be done cautiously.