Mastering Symbol Substitution in Mathematical Operations

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In the realm of mathematical operations, understanding symbol substitution is key to solving questions efficiently. Learn how to interchange mathematical signs and symbols to find the correct answer. With examples and guidance, grasp the concept of symbol substitution and excel in tackling such questions. Remember to follow the BODMAS rule for accurate results.

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C CHAPTER HAPTER 5 M 5 MATHEMATICAL ATHEMATICAL O OPERATION B. C B. COM OM. I S . I SEM EM. II PERATION . II Dr. Prakash R. Rodiya Asst. Prof. Dept. of Commerce Rajarshi Shahu Mahvidyalya (Autonomous), Latur

SYMBOL SUBSTITUTION Symbols of special mathematical operations like addition, division, greater than, lesser than, etc are interchanged or substituted to find the right answer. Approximately all the competitive exams like IBPS PO, IBPS clerk, SSC ask the questions associated to the mathematical operations.

There are four types of topics that come in mathematical operations. But today our sole focus will only be on substitution i.e. replacement based questions. In this type of questions, you will be provided with a variety of mathematical signs and symbols.

The alternate for these signs itself will be provided in the question. You need to alter the signs with that given in the equation and then find the correct answer. Or you will also be asked to find the correct/incorrect answer or equations also.

You just require solving the equation based on these signs and symbols. Now, I will show you some of the examples and move toward on how to solve these types of questions.

Examples Q. If + means , - means x . means + and x means - , then 36 x 8 + 4 6 + 2 3 = ? A. 2 B. 18 C. 43 D. 6 1/2

Now, in this question in its place of remembering the signs make a table like this. Fill this table with the interchanging signs as given in the first half of the question. Symbols + x x + Meaning From the table alter the signs in the given equation. The equation will be as follows: 36 8 4 + 6 2 x 3 = 36 2 + 3 x 3 = 34 + 9 = 43. So the right answer is (C). You must have noticed even as solving this question yourself as to how much there is puzzlement regarding the interchanging signs. And that is why it is significant that you make a table.

Note: Follow BODMAS Rule to solve these types of questions. i.e., Brackets, Of, Division, Multiplication, Addition, Subtraction. {Example: (36 -12) 4 + 6 + 2 x 3 = 24 4 + 6 + 2 x 3 (Solving Bracket) = 6 + 6 + 2 x 3 (Solving Division) = 6+6+6 (Solving Multiplication) = 18 (Solving Addition)}

Q. If P = 6, J = 4, L = 8, M = 24 then M x L L + J = ? A. 8 B. 36 C. 16 D. 0 The correct answer is (C).

Q. If L denotes x, M denotes divide, P denotes + and Q denotes - , than 8 P 36 M 6 Q 6 M 2 L 3 = ? A. 13/6 B. -1/6 C. 14 1/2 D. 5 The correct answer is (D). Q. If - means x ; x means ; means + and + means - , then 40 x 12 + 3 6 60 = ? A. 44/5 B. 79/5 C. 116/3 D. 136/3 The correct answer is (D).

Q. If + means ; - means x; means +and x means - then 20 12 x 4 + 8 6 = ? A. 8 2/3 B. 29 C. 32 D. 26 The correct answer is (B). Q. If L denotes , M denotes x , P denotes + and Q denotes - , then which of the following statements is true? A. 32 P 8 L 16 Q 4 = -3/2 B. 6 M 18 Q 26 L 13 P 7 = 173/13 C. 11 M 34 L 17 Q 8 L 3 = 38/3 D. 9 P 9 L 9 Q 9 M 9 = 71 The correct answer is (D).

Q. If P denotes +, Q denotes -, R denotes x and S denotes , which of the following statements is correct? A. 36 4 S 8 Q 7 P 4 = 10 B. 16 R 12 P 49 S 7 Q 9 = 200 C. 32 S 8 R 9 = 160 Q 12 R 12 D. 8 R 8 P 8 S 8 Q 8 = 57 The correct answer is (D).

Exercise: Q1: If V means divided by, means multiplied by , V means minus and V means plus , which of the following will be the value of the expression 16+ 8- 4 + 2 x 4? (a) 16 (b) 28 (c) 32 (d) 44 Q2: If + means +, means x, + means + and x means then 36 x 12 + 4 + 6 + 2 3 = ? (a) 2 (b) 18 (c) 42 (d) 6 Q3: If A means plus , B means minus , C means divided by and D means multiplied by , then 18 A 12 C 6 D 2 B 5 = ? (a) 15 (b) 25 (c) 27 (d) None of these Q4: If x stands for + stands for +, + stands for + and stands for x, which one of the following equations is correct? (a) 15 5 + 6 x 20 + 10 = 6 (b) 8 + 10 3 + 5 x 6 = 8 (c) 6 x 2 + 3 + 12 3 = 15 (d) 3 + 7 5 x 1 0 + 3 = 10

Q5: If x stands for addition, + stands for subtraction, + stands for multiplication and stands for division , then 20 x 8 + 8 4 + 2 ? (a) 80 (b) 25 (c) 24 (d) 5 Q6. If means x, x means +, + means 4, and + means then 40x 12 + 3- 6 + 60 = ? (a) 7.95 (b) 16 (c) 44 (d) None of these Find Your Answer Here Q1: (b), Q2: (c), Q3: (d), Q4: (b), Q5: (c), Q6: (d)

FIND CORRECT EQUATION If + stands for division, x stands for addition, - stands for multiplication, and stands for subtraction, then which of the following equation is correct? (a) 36 6 + 7 2 6 = 20 (b) 36 + 6 3 5 3 = 24 (c) 36 + 6 + 3 5 3 = 45 (d) 36 6 + 3 5 3 = 74 Sol. (d) 36 6 3 + 5 3 36 2 + 5 3 = 74

EXAMPLE 2. If P denotes +, Q denotes - R denotes and S denotes then, which of the following statement is correct? (a) 16 R 12 P 49 S 7 Q9 = 200 (b) 32S8R9 = 160Q 12R 12 (c) 8R8P8S8Q = 57 (d) 36R4S8Q7P4 = 10 Sol. (c) 8R8P8S8Q = 8 8+88-8 = 8 8 + -8 = 64 +1- 8 = 57

BALANCE THE EQUATION EXAMPLE 3. Select correct combination of mathematical sign to replace * sign to balance the equation. 9* 4* 22 *14 (a) x = (b) = (c) = (d) = Sol. (b) 9* 4* 22 *14 9 4 22 = 14 EXAMPLE 4. Given interchange: sign + and - and numbers 5 and 8. Which of the following is correct? (a) 82-35 + 55=2 (b) 82-35 + 55 = 102 (c) 85-38 + 85 = 132 (d) 52-35+55 = 72 Sol. (a) 52 + 38-88=2

EXERCISE 1.If + means - - means means + and means then10 5 3 2 + 3 = ? 5(b) 21(c) 533(d) 18 2. If + means , - means , means + and means - then 63 24 + 8 4 + 2 -3 =? (a) 54(b) 66(c) 186(d) 48 3. Which one of the following is correct?6 * 4 * 9 * 15 (a) ,=, (b) , ,=(c) =, , (d) , ,=

4. If - stands for division, + for multiplication for subtraction and for addition. Which one of the following equation is correct? 6 20 12 + 7 -1 =70(b) 6 + 20-20 7 1=62 (c) 6-20 12 7+1=57(d) 6 + 20-20 7-1=38

In an mathematical operation + means multiplication, means subtraction, means addition and - means division. All other rules in mathematical operation are the same as in the existing system. Which one of the following gives the result of 175-25 5 + 20 3 +10=? (a) 160(b) 2370(c) 77(d) 240 6.If L stands for +, M stands for, -, N stands ,P stands for ,then 14 N 10 L 42 P 2 M 8 =? (a) 153(b) 216(c) 248 (d) 251

7.If -stand for addition, + stands for subtraction, stands for multiplication and stands for division then which one of the following equations is correct? (a) 25 5 20-27 + 7=120(b)25 + 5 26-27 + 7=128 (c) 25+5-20 + 27 7 = 95(d) 25-5 +20 27 7 =100 If means +, means , means +and + means then(3 -15 19) 8 +6 =? (a) -1 (b) 2 (c) 4 (d) 8

If +means , means , means +and means then90+ 18 -6 30 4 =? (a) 64 (b) 65 (c) 56 (d) 48 If stands for '+', '+'stands for 'x', 'x', stands for ' 'then which one of the following is not correct ? (a) 22+ 7 3 9= 148(b) 33 5 10 +20= 228 (c) 7 + 28 3 52 = 127(d) 44 9+6 11 =87

Select the correct combination of mathematical sings to replace the * sings and to balance the following equation. (45*3*6)*6*15 (a) + =(b) + =(c) + -= (d) = Select the correct combination of mathematical sings to replace * sings and to balance the following equation: 8 * 5 * 10 * 2 * 25 (a) + (b) + = (c) + = (d) -=