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If 'A' stands for '÷', 'B' stands for '×', 'C' stands for '+', and 'D' stands for '-', what will come in place of the question mark '?' in the following equation? 61 D 39 C 14 C (62 A 2) B 4=?
110
145
160
180
160
Apply BODMAS strictly: solve the bracket first, then perform multiplication, and finally addition/subtraction from left to right.
Apply BODMAS strictly: solve the bracket first, then perform multiplication, and finally addition/subtraction from left to right.
Substitute the symbols
Given A = /, B = *, C = +, D = -. The equation 61 D 39 C 14 C (62 A 2) B 4 becomes: 61 - 39 + 14 + (62 / 2) * 4
Solve brackets and operators
First, solve the bracket: (62 / 2) = 31. The equation is now: 61 - 39 + 14 + 31 * 4.
Apply multiplication and final arithmetic
Perform multiplication: 31 * 4 = 124. Now calculate the remainder: 61 - 39 + 14 + 124. Solving left to right: 61 - 39 = 22; 22 + 14 = 36; 36 + 124 = 160.
A: 110 is incorrect as it results from misapplying the BODMAS order or arithmetic error. B: 145 is incorrect because it misses the correct sequence of addition/multiplication. D: 180 is incorrect because it fails to evaluate the bracket correctly before performing multiplication.
C is correct because the step-by-step substitution followed by standard BODMAS rules (61 - 39 + 14 + 31 * 4) leads precisely to 160.
Always resolve terms inside brackets first, and never perform addition before multiplication if the expression has both.
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