# Mathematical Operations Practice Questions

Mathematical Operations Practice Questions section is below.Â Here, the four fundamental operations â€” addition, subtraction, multiplication and division and also statements such as less than, ‘greater than’, ‘equal to’, ‘not equal to1, etc. are represented by symbols, different from the usual ones. The questions involving these operations are set using artificial symbols. The candidate has to substitute the real signs and solve the questions accordingly, to get the answer.

## Mathematical Operations Practice Questions

### Type 1: Problem-Solving By Substitution

In this type, you are provided with substitutes for various mathematical symbols, followed by a question involving calculation of an expression or choosing the correct/incorrect equation. The candidate is required to put in the real signs in the given equation and then solve the questions as required.

Q1:Â 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?Â  Â  Â  Â  (Bank P.O. 1995)

(a) 16Â  Â  Â  Â  Â  (b) 28Â  Â  Â  Â  Â  (c) 32Â  Â  Â  Â  Â  (d) 44Â  Â  Â  Â  Â  Â  Â  (e) None of these

Q2:Â If + means +, – means x, + means + and x means then 36 x 12 + 4 + 6 + 2 – 3 = ?

(a) 2Â  Â  Â  Â  Â  Â (b) 18Â  Â  Â  Â  Â  Â (c) 42Â  Â  Â  Â  Â  (d) 6Â  Â  Â  Â  Â  Â  Â  Â  (e) None of these

Q3:Â 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 = ? (B.S.R.B. 1996)

(a) 15Â  Â  Â  Â  Â  (b) 25Â  Â  Â  Â  Â  (c) 27Â  Â  Â  Â  Â  (d) 45Â  Â  Â  Â  Â  Â  Â  (e) None of these

Q4:Â If x stands for + stands for +, + stands for + and – stands for x, which one of the following equations is correct? (S.S.C. 1999)

(a) 15 – 5 + 6 x 20 + 10 = 6Â  Â  Â  Â  Â  (b) 8 + 10 – 3 + 5 x 6 = 8Â  Â  Â  Â  Â  Â  (c) 6 x 2 + 3 + 12 – 3 = 15Â  Â  Â  Â  Â  (d) 3 + 7 – 5 x 1 0 + 3 = 10

Q5:Â It being given that : > denotes +, < denotes -, + denotes +, – denotes =, = denotes less than’ and x denotes ‘greater than’, find which of the following is a correct statement.

(a) 3 + 2 > 4 < 9 + 3 < 2Â  Â  Â  Â  Â  Â (b) 3 > 2 > 4 = 18 + 3 < 1Â  Â  Â  Â (c) 3 > 2 < 4 x 8 + 4 < 2Â  Â  Â  Â  Â  (d)3 + 2 < 4 x 9 + 3 < 3

Q6:Â If x stands for ‘addition’, + stands for ‘subtraction’, + stands for ‘multiplication’ and – stands for ‘division’, then 20 x 8 + 8 – 4 + 2 – ? (Transmission Executives’ 1994)

(a) 80Â  Â  Â  Â  Â  (b) 25Â  Â  Â  Â  Â  Â  (c) 24Â  Â  Â  Â  Â  Â  Â (d) 5

Q7. If – means x, x means +, + means 4, and + means then 40x 12 + 3- 6 + 60 = ? (Bank P.O. 1993)

(a) 7.95Â  Â  Â  Â  Â (b) 16Â  Â  Â  Â  Â  Â (c) 44Â  Â  Â  Â  Â  Â  (d) 479.95Â  Â  Â  Â  Â  Â  Â (e) None of these

Q1: (b), Q2: (c), Q3: (e), Q4: (b), Q5: (c), Q6: (c), Q7: (e)

## Type 2: Interchange Of Signs And Numbers

Q1:Â If the given interchanges namely : signs + and + and numbers 2 and 4 are made in signs and numbers, which one of the following four equations would be correct?

(a) 2 + 4 + 3 = 3Â  Â  Â  Â  Â  Â  Â (b) 4 + 2 + 6 = 1.5Â  Â  Â  Â  Â  Â  Â (c) 4 + 2 + 3 = 4Â  Â  Â  Â  Â  Â (d) 2 + 4 + 6 = 8

Q2:Â Which one of the four interchanges in signs and numbers would make the given equation correct? 3 + 5 – 2 = 4

(a) + and 2 and 3Â  Â  Â  Â  Â  (b) + and 2 and 5Â  Â  Â  Â  Â  (c) + and 3 and 5Â  Â  Â  Â  Â  Â (d) None of these

Directions (Questions 3 to 6): In each of the following questions, which one of the four interchanges in signs and numbers would make the given equation correct

Q3. 6 x 4 + 2=16

(a) + and x, 2 and 4Â  Â  Â  Â  Â (b) + and x, 2 and 6Â  Â  Â  Â  Â  (c) + and x, 4 and 6Â  Â  Â  Â  (d) None of these

Q4. (3+ 4)+ 2 = 2

(a) + and +, 2 and 3Â  Â  Â  Â  Â  (b) + and +, 2 and 4Â  Â  Â  Â  Â  Â  (c) + and +, 3 and 4Â  Â  Â  Â (d) No interchange, 3 and 4

Q5. 4 x 6 – 2 – 14

(a) x to +, 2 and 4Â  Â  Â  Â  Â  Â  (b) – to +, 2 and 6Â  Â  Â  Â  Â  Â (c) – to +, 2 and 6Â  Â  Â  Â  Â  Â  Â (d) x to +, 4 and 6

Q6. (6 +2) x 3 – 0

(a) + and x, 2 and 3Â  Â  Â  Â  Â (b) x to 2 and 6Â  Â  Â  Â  Â  (c) + and x, 2 and 6Â  Â  Â  Â  Â  Â  Â  Â  (d) x to 2 and 3

Q1: (d), Q2: (c), Q3: (c), Q4: (a), Q5: (c), Q6: (d)

## Type 3: Deriving The Appropriate Conclusions

Q1:Â It being given that x denotes ‘greater than’, $denotes ‘equal to’, < denotes ‘not less than1’, ‘1 denotes ‘not equal to’, A denotes ‘less than’ and + denotes ‘not greater than’,Â choose the correct statement from the following:Â Â Â Â (M.B.A. 1998) If a x b A c, it follows that (a) a$ c A bÂ  Â  Â  Â  Â (b) b < a x cÂ  Â  Â  Â  Â  Â  (c) a < 6 + cÂ  Â  Â  Â  Â  Â (d) c + b < aÂ  Â  Â  Â  Â  Â  (e) b < a \$ c

Q2:Â Which of the following conclusions is correct according to the given expressions and symbols?

A : *Â  Â  Â  B: >Â  Â  Â  Â  C: *Â  Â  Â  Â  Â  Â  Â E : 4Â  Â  Â  Â  Â  Â  Â  F : <

Expressions: (aEb) and (bEc)

(a) aEcÂ  Â  Â  Â  Â  Â  Â  Â (b) aFcÂ  Â  Â  Â  Â  Â  Â (c) cBaÂ  Â  Â  Â  Â  Â  Â  Â  (d) cBb

Q3:Â In the following questions, the symbols @ and @ are used with the following meanings: (S.B.I.P.O. 1997)

‘A * B’ means 4A is greater than B’;

‘A * B’ means 4 A is either greater than or equal to Bf;

‘A = B’ means 4 A is equal to B’;

4A @ B’ means ‘A is smaller than B’;

‘A @ B’ means ‘A is either smaller than or equal to B’;

Now, in each of the following questions, assuming the given statements to be true, find which of the two conclusions I and II given below them is/are definitely true?

Give answer (a) if the only conclusion I is true;

(b) if only conclusion II is true;

(c) if either I or II is true;

(d) if neither I nor II is true and

(e) if both I and II are true.

1. Statements: M = T, T @ Z, S â€¢ M

Conclusions: I. Z â€¢ M

II. Z = M

2. Statements: R @ M, M â€¢ P, R â€¢ L

Conclusions: I. M = L

II. P = L

3. Statements: L@C, C â€¢ Z, Z @ F

Conclusions: I. C â€¢ F

II. F = C

4. Statements: Z @ B, N â€¢ S, B @ N

Conclusions: I. B = Z

II. S @ B

5. Statements: T * P , P @ S, P = M

Conclusions : I. S â€¢ M

II. T @ S

Q1: (c), Q2: (a) , Q3: [1. (c), 2. (d), 3. (d), 4. (d), 5. (a).]

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### One response to “Coded Operations”

1. Jyoti says:

+ means â€˜ is greater thanâ€™

– Means â€˜ is less thanâ€™

Ã— means â€˜ is not greater thanâ€™

Ã· means â€˜ is not less thanâ€™

p â€“ q – r implies

1.p â€“ q + r
2.q + p â€“ r
3.r Ã— q + p
4. q + p Ã· r