Simplification Technique Through BODMAS Rule & BODMAS Formula
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BODMAS RULE & SOLUTIONS
‘BODMAS‘ rule : BODMAS Formula defines the correct sequence in which the operations are to be carried out, so as to find out the value of a given expression.
Here
B stands for Bracket,
O stands for Of,
D stands for Division,
M stands for Multiplication,
A standsfor Addition, and
S stands for Subtraction.
First of all the brackets are to be removed, strictly in the order (), {}, [].
After removing the brackets, wemakeuse of the following mathematical operations& solve the problems following the same sequence:
1.Of
- Division
- Multiplication
- Addition
- Subtraction
Let us understand this concept with the help of some examples:
Eg: 1 If ‘W’ denotes ‘/’, ‘X’ denotes ‘*‘, ‘Y’ denotes ‘+‘, and ‘Z’ denotes ‘-‘; then 52 Y 24 W 3 Z 7 X 6 is equal to:
- a) 18 b) 58 c) 352 d) 114 e) None of these
Solution:Given expression is 52 Y 24 W 3 Z 7 X 6
Replacing the alphabets with corresponding operators, we have
52 + 24 / 3 – 7 * 6
Applying the BODMAS rule, we have,
52 + (24/3) – 7 * 6
52 + 8 – (7*6)
= 18
Answer: Option (A)
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Eg: 2 If ?means ‘+’, ‘#’ means ‘-‘, ‘$’ means ‘*‘; and ‘@’ means ‘/‘; then (9/17) ? (14/17) @ (28/51) # 3 $ (4/17) is equal to:
- a) 13/17 b) 15/38 c) 8/37 d) 19/43 e) none of these
Solution:Given expression is (9/17) ? (14/17) @ (28/51) # 3 $ (4/17)
Replacing the symbols with corresponding operators, we have
(9/17) + (14/17) / (28/51) – 3 * (4/17)
Now, applying the BODMAS rule:
(9/17) + [(14/17) / (28/51)] – [3 * (4/17)]
(9/17) + [(14/17) * (51/28)] – [3 * (4/17)]
(9/17) + (3/2) – (12/17)
(3/2) – (3/17) = (51-6)/34 = 45/34.
Answer: Option (E)
Eg: 3 If ‘W’ denotes ‘/’, ‘X’ denotes ‘+‘, ‘Y’ denotes ‘*‘; and ‘Z’ denotes ‘-‘; then (12% of 700) Z (4% of 700) W 4 X (15% of 200) Y 6 is equal to:
- a) 232 b) 312 c) 257 d) 412 e) none of these
Solution:Given expression is (12% of 700) Z (4% of 700) W 4 X (15% of 200) Y 6
Replacing the symbols with corresponding operators, we have
(12% of 700) – (4% of 700) / 4 + (15% of 200) * 6
(12% of 700) – (4% of 700) / 4 + (15% of 200) * 6
84 – (28/4) + (30*6)
84 – 7 + 180 = 257
Answer: Option (C)
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