Question

What is the number in the START box?

A.116256
B.106256
C.384120
D.102656

Answer 1

Hint: To answer this problem we will use the concept of BODMAS and solve it for x such that we will get the answer of the start box.

Complete step-by-step answer:
BODMAS RULE:
BODMAS is an acronym and it stands for Bracket, Order, Division, Multiplication, Addition, and Subtraction. In certain regions, PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction) is used, which is the synonym of BODMAS.
It explains the order of operations to be performed while solving an expression. According to BODMAS rule, if an expression contains brackets ((), {}, []) we have first to solve or simplify the bracket followed by ‘order’ (that means powers and roots, etc.), then division, multiplication, addition and subtraction from left to right. Solving the problem in the wrong order will result in a wrong answer.
Suppose the start = x
Then the equation in the form of x will be,
\[x \to \div {\mathbf{16}} \to \times {\mathbf{20}} \to {\mathbf{132820}}\]
Or if we remove the arrows the equation looks like
\[x \div {\mathbf{16}} \times {\mathbf{20}} = {\mathbf{132820}}\]
Now solve the above algebraic equation to get the value of x
$
  x = \dfrac{{132820 \times 16}}{{20}} \\
  x = 106256 \\
$
hence the value of the start box is 106256.
So, the correct answer is “Option B”.

Note: The “O” in the BODMAS full form is also called “Order”, which refers to the numbers which involve powers, square roots, etc. Check the examples below to have a better understanding of using the BODMAS rule.