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MCQ

Mathematical Operator Interchange MCQ - Practice Questions with Answers

Solve 58 Mathematical Operator Interchange questions for RAS/RPSC preparation.

Practice questions

Q1Which mathematical sign should replace the blank to balance 84 _ 14 = 6?

A +
B
C ×
D ÷
Explanation

Insert ÷ in the blank. The equation becomes 84 ÷ 14 = 6, so both sides are equal. The other signs produce 98, 70 and 1176, making D the unique answer.

Q2If 70 and 13 are interchanged, and − and + are interchanged, what is the value of 70 − 12 ÷ 3 + 13 × 4?

A 118
B 289
C 22
D −263
Explanation

Interchanging 70 with 13 and − with + changes the expression to 13 + 12 ÷ 3 − 70 × 4. Apply division and multiplication first: 13 + 4 − 280 = −263. Therefore, option D is correct.

Q3If 26 and 18 are interchanged, and − and × are interchanged, what is the value of 26 − 16 + 18 × 22?

A 406
B 292
C 574
D 412
Explanation

Interchange 26 with 18 and − with ×. The expression becomes 18 × 16 + 26 − 22. Applying multiplication first gives 288 + 26 − 22 = 292. Therefore, option B is correct.

Q4In a notation, + means × and × means −. Which equation is balanced?

A 14 + 6 × 13 = 70
B 17 + 8 × 19 = 117
C 23 + 4 × 21 = 70
D 27 + 3 × 29 = 50
Explanation

Replace + with × and × with − in option B. Its left-hand side becomes 17 × 8 − 19 = 136 − 19 = 117, so the equation is correct. The substituted left-hand sides in A, C and D are 71, 71 and 52 respectively, so option B is the unique answer.

Q5Which pair of signs should be interchanged to balance 88 ÷ 11 + 16 − 5 × 2 = 125?

A + and −
B − and ×
C × and ÷
D + and ×
Explanation

Interchange + and ×. The left-hand side becomes 88 ÷ 11 × 16 − 5 + 2. Applying the standard order of operations gives 8 × 16 − 5 + 2 = 128 − 5 + 2 = 125. The other pairs give 2, 86 and 981.5, so option D is the unique answer.

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More questions

6Which two mathematical signs should be interchanged to balance the equation 46 − 11 × 13 = 493?

A+ and −
B+ and ×
C× and ÷
D− and ×

7If × denotes + and ÷ denotes −, what is the value of 35 × 8 ÷ 11?

A32
B54
C16
D269

8If + is interchanged with × and − is interchanged with ÷, find the value of 99 − 11 + 6 × 14 ÷ 4.

A109
B36.5
C89
D64

9If + and ÷ are interchanged, what is the value of 72 + 8 ÷ 3?

A67
B12
C83
D27

10If + means ×, − means +, × means ÷ and ÷ means −, find the value of 96 ÷ [18 − (7 + 5)] × 4.

A64
B82.75
C88.5
D13.25

11Find the value of 56 ÷ [17 − (12 + 1)] + 20.

A72
B29 1/3
C34
D2 1/3

12If × means +, − means ÷, ÷ means − and + means ×, calculate 88 × [27 − (15 ÷ 3)] + 16.

A1952
B124
C68.8
D174.4

13If 10 and 21 are interchanged, and × and ÷ are interchanged, what is the value of 42 × 10 + 21 ÷ 14 − 12?

A409.5
B870 5/7
C130
D286.2

14If + and × interchange their meanings, what is the value of 26 + 15 × 2?

A56
B780
C392
D43

15If − and ÷ interchange their meanings, what is the value of 209 − 19 ÷ 10?

A207.1
B1.1
C180
D1

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