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CBSE Class 10  >  Class 10 Test  >  Olympiad Preparation  >  Olympiad Test: Mathematical Operations - Class 10 MCQ

Olympiad Test: Mathematical Operations - Free MCQ with solutions


MCQ Practice Test & Solutions: Olympiad Test: Mathematical Operations (15 Questions)

You can prepare effectively for Class 10 Olympiad Preparation for Class 10 with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Olympiad Test: Mathematical Operations". These 15 questions have been designed by the experts with the latest curriculum of Class 10 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 15 minutes
  • - Number of Questions: 15

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Olympiad Test: Mathematical Operations - Question 1
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If A denotes multiplication, B denotes addition, C denotes division and D denotes subtraction, then what is the value of 14 A 6 B 8 C 2 D 12? 

Detailed Solution: Question 1

Here, 14 A 6 B 8 C 2 D 12
= 14 × 6 + 8 ÷ 2 – 12
= 14 × 6 + 4 – 12
= 84 + 4 – 12
= 88 – 12 = 76 

Olympiad Test: Mathematical Operations - Question 2
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If × denotes –; ÷ denotes +, + denotes ÷ and – denotes ×, which one of the following equation is correct? 

Detailed Solution: Question 2

(a) 15 – 5 ÷ 5 × 20 + 10 = 6
15 × 5  + 5 – 20 ÷ 10 = 6
15 × 5  + 5 – 2 = 6
78 ≠ 6
(b) 8 ÷ 10 – 3 + 5 × 6 = 8
8 + 10 × 3 ÷ 5 – 6 = 8

8 + 6 – 6 = 8 
8 =  8 
Hence (b) is true.

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Olympiad Test: Mathematical Operations - Question 3
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If P means ×, R means +, T means ÷, S means –, then what is the value of 8 P 4 R 28 T 7 S 15?

Detailed Solution: Question 3

Given 8 P 4 R 28 T 7 S 15
= 8 × 4 + 28 ÷ 7 – 15 = 8 × 4 + 4 – 15
= 32 + 4 – 15 = 36 – 15 = 21

Olympiad Test: Mathematical Operations - Question 4
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If numbers 3 and 6 are interchanged and signs – and × are interchanged then which of the following is correct? 

Detailed Solution: Question 4

Given 3 × 6 – 4 = 6 – 3 × 4
= 6 – 12 = – 6 ≠ 33
6 × 3  – 4 = 3 – 6 × 4 = 3 – 24 = – 21 ≠ 15
3 – 6 × 8 = 6 × 3 – 8 = 18 – 8 = 10 = 10
∴ (c) is correct.

Olympiad Test: Mathematical Operations - Question 5
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If A stands for +, B stands for –, C stands for ×. Then what is the value of (10 C 4) A (4 C 4) B 6?

Detailed Solution: Question 5

We have (10 C 4) A (4 C 4) B 6
= (10 × 4) + (4 × 4) – 6
= 40 + 16 – 6 = 56 – 6 = 50 

Olympiad Test: Mathematical Operations - Question 6
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If A + B = 2C & C + D = 2A then which of the following is correct? 

Detailed Solution: Question 6

Here A + B = 2C …(1)
C +  D = 2A …(2)
Adding (1) and (2) 
A + B  + C + D = 2C + 2A 
B + D = C + A

Olympiad Test: Mathematical Operations - Question 7
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If L stands for +, M stands for –, N stands for × and P stands for ÷ then what is the value of 37 N 10 L 65 P 13 M 16? 

Detailed Solution: Question 7

Here 37 N 10 L 65 P 13 M 16 
= 37 × 10 + 65 ÷ 13 – 16 
= 37 × 10 + 5 – 16 = 370 + 5 – 16
= 370 – 11 = 359 

Olympiad Test: Mathematical Operations - Question 8
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If P stands for addition, L for division, M for subtraction and Z for multiplication then what is the value of 182 P 117 L 13 M 7 Z 16? 

Detailed Solution: Question 8

Here 182 P 117 L 13 M 7 Z 16 
= 182 + 117 ÷ 13 – 7 × 16
= 182 + 9 – 7 × 16
= 182 + 9 – 112 = 70 + 9 = 79

Olympiad Test: Mathematical Operations - Question 9
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If × stands for addition, ‘–’ for division, ÷ for subtraction & ‘+’ for multiplication. Then which of the following statement is correct? 

Detailed Solution: Question 9

4 × 5 + 9 – 3 ÷ 4 = 15
= 4 + 5 × 9 ÷ 3 – 4
= 4 + 5 × 3 – 4
= 4 + 15 – 4
= 15 = 15
∴ (d) is correct.

Olympiad Test: Mathematical Operations - Question 10
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If ‘<’ stands for minus, ‘–’ stands for equal to ‘>’ stands for multiplication, ‘÷’ stands for greater than, ‘×’ for addition, ‘+’ stands for division, ‘=’ stands for less than then which of the following statement is correct?

Detailed Solution: Question 10

Let 5 > 2 × 1 – 3 > 4 < 1
⇒ 5 × 2 + 1 = 3 × 4 – 1
⇒ 11 = 12 – 1 
⇒ 11 =  11

Olympiad Test: Mathematical Operations - Question 11
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Direction: If > denotes +, + denotes ÷, – denotes =, × denotes > and = denotes <, < denotes – and ↑ denotes × then choose the correct statement in each of the following problems :

Detailed Solution: Question 11

Let 35 > 3 < 2 = 4 > 8 ↑ 7
⇒ 35 + 3 – 2 < 4 + 8 × 7
⇒  35 + 1 < 4 + 56
⇒ 36 < 60
∴ (a) is correct.

Olympiad Test: Mathematical Operations - Question 12
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Direction: If > denotes +, + denotes ÷, – denotes =, × denotes > and = denotes <, < denotes – and ↑ denotes × then choose the correct statement in each of the following problems :

Detailed Solution: Question 12

Let 4 > 6 + 2 × 32 + 4 < 1
4 + 6  ÷ 2 > 32 ÷ 4 – 1
4 + 3  > 8 – 1 
7 = 7

Olympiad Test: Mathematical Operations - Question 13
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Direction: In these question the different alphabets stand for various arithmetical and logical symbols. We have to choose the correct alternative according to given letter symbols.

Detailed Solution: Question 13

Let 5 Y 4 N 3 C 5 N 3 H 11
⇒ 5 < 4 × 3 + 5 × 3 – 11
⇒ 5 < 12 + 15 – 11
⇒ 5 < 16

Olympiad Test: Mathematical Operations - Question 14
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Direction: In these question the different alphabets stand for various arithmetical and logical symbols. We have to choose the correct alternative according to given letter symbols.

Detailed Solution: Question 14

Here 6 P 3 C 4 N 3 Y 7 N 3
⇒ 6 ÷ 3 + 4 × 3 < 7 × 3
⇒ 2 + 4 × 3 < 21 
⇒ 2 + 12 < 21
⇒ 14 <  21 

Olympiad Test: Mathematical Operations - Question 15
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Direction: In these question the different alphabets stand for various arithmetical and logical symbols. We have to choose the correct alternative according to given letter symbols.

Detailed Solution: Question 15

Here
14 C 13 P 13 N 6 H 5 W 2 C 12 P 3 N 2
⇒ 14 + 13 ÷ 13 × 6 – 5 > 2 + 12 ÷ 3 × 2 
⇒ 14 + 1 × 6 – 5 > 2 + 4 × 2
⇒ 20 – 5 > 2 + 8
⇒ 15 > 10

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About this Class 10 Practice Test

This test contains 15 MCQs on Olympiad Test: Mathematical Operations with detailed solutions for each question. It is part of the Olympiad Preparation for Class 10 course on EduRev, designed to align with the current Class 10 syllabus. Each solution explains not just the correct answer but also gives you an understanding of the topic — not just to attempt the question but also help you prepare for the exam with practice.

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