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Math Olympiad Test: Mathematical Operations - Class 10 MCQ


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15 Questions MCQ Test - Math Olympiad Test: Mathematical Operations

Math Olympiad Test: Mathematical Operations for Class 10 2024 is part of Class 10 preparation. The Math Olympiad Test: Mathematical Operations questions and answers have been prepared according to the Class 10 exam syllabus.The Math Olympiad Test: Mathematical Operations MCQs are made for Class 10 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Math Olympiad Test: Mathematical Operations below.
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Math Olympiad Test: Mathematical Operations - Question 1

If A Stands for +, B stands for -, C stands for ×, then what is the value of (10C4)A(4C4)B6?

Detailed Solution for Math Olympiad Test: Mathematical Operations - Question 1

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

Math Olympiad Test: Mathematical Operations - Question 2

If L  denotes ×, M denotes ÷, P denotes + and Q denotes -, then 8P36M6Q6M2L3 =?

Detailed Solution for Math Olympiad Test: Mathematical Operations - Question 2

Here 8 P 36 M 6 Q 6 M 2 L 3
= 8 + 36 ÷ 6 - 6 ÷ 2 × 3
= 8 + 6 - 3 × 3
= 8 + 6 - 9
= 14 - 9
= 5

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Math Olympiad Test: Mathematical Operations - Question 3

If R denotes +, S denotes -, P denotes ÷ and Q denotes ×, then what is the value of 18Q12P4R5S6?

Detailed Solution for Math Olympiad Test: Mathematical Operations - Question 3

18 Q 12 P 4 R 5 S 6
= 18 × 12 ÷ 4 + 5 - 6
= 18 × 3 + 5 - 6
= 54 + 5 - 6 = 53

Math Olympiad Test: Mathematical Operations - Question 4

If 3 + 8 = 17, 5 - 2 = 23, 6 × 2 = 72, then 8 ÷ 4 =?

Detailed Solution for Math Olympiad Test: Mathematical Operations - Question 4

3 + 8  = 17 ⇒ a2 + b = 32 + 8 = 17
5 - 2  = 23 ⇒ a2 - b = 52 - 2 = 23

Math Olympiad Test: Mathematical Operations - Question 5

If +  means minus, × means divided by, ÷ means plus, × means multiplied by, then which of the following will be the value of expression 252 × 9 - 5 + 32 ÷ 92?

Detailed Solution for Math Olympiad Test: Mathematical Operations - Question 5

252 × 9 - 5 + 32 ÷ 92
= 252 ÷ 9 × 5 - 32 + 92
= 28 × 5 - 32 + 92
= 140 - 32 + 92 = 232 - 32 = 200

Math Olympiad Test: Mathematical Operations - Question 6

If P means ×, R means +, T means ÷ and S means -, then 18T3P9S8R6 =?

Detailed Solution for Math Olympiad Test: Mathematical Operations - Question 6

18 T 3 P 9 S 8 R 6
= 18 ÷ 3 × 9 - 8 + 6
= 6 × 9 - 8 + 6
= 54 - 8 + 6 = 52

Math Olympiad Test: Mathematical Operations - Question 7

Direction: In the following question, different alphabet stands for various symbols as indicated below:
Addition: O,Subtraction: M, Multiplication : A
Division: Q, Equal to : X, Greater than : Y,
Less than: Z
Out of the four alternatives, only one is correct identify the correct alternative.

Detailed Solution for Math Olympiad Test: Mathematical Operations - Question 7

(a) 8 + 2 × 12 ÷ 10 = 18 ÷ 9
8 + 2  × 12 = 2
(b) 2 + 3 - 4 ÷ 2 < 1 × 2
2 + 3  - 2 < 2
(c) 8 ÷ 4 × 1 - 2 = 16 - 16
2 × 1  - 2 = 0 ÷ 0 = 0
(d) 6 ÷ 2 + 1 + 1 = 16 × 1
3 + 1  + 1 = 16
Hence only (c) is correct.

Math Olympiad Test: Mathematical Operations - Question 8

Direction: In the following question the given equation becomes correct due to interchange of two signs. Find the correct alternative so that the equation becomes correct.
12 ÷  2 - 6 × 3 + 8 = 16

Detailed Solution for Math Olympiad Test: Mathematical Operations - Question 8

(a) 12 + 2 - 6 × 3 ÷ 8 ≠ 16
(b) 12 ÷ 2 + 6 × 3 - 8
6 + 1 8 - 8 = 16
∴ (b) is correct.

Math Olympiad Test: Mathematical Operations - Question 9

Direction: In each of the following question the given equation becomes correct due to interchange of two signs. Find the correct alternative so that the equation becomes correct.
10 +  10 ÷ 10 × 10 = 10

Detailed Solution for Math Olympiad Test: Mathematical Operations - Question 9

10 + 10 ÷ 10 - 10 × 10 = 10
(a) 10 - 10 ÷ 10 + 10 × 10 = 10 - 1 + 100 ≠ 10
(b) 10 ÷ 10 + 10 - 10 × 10 = 10
1 +  10 - 100 ≠ 10
(c) 10 × 10 ÷ 10 - 10 + 10 = 10
10 × 1 - 10 + 10 = 10
10 =  10
∴ (c) is correct.

Math Olympiad Test: Mathematical Operations - Question 10

Direction: In each of the following question the given equation becomes correct due to interchange of two signs. Find the correct alternative so that the equation becomes correct.
2 ×  3 + 6 - 12 ÷ 4 = 17

Detailed Solution for Math Olympiad Test: Mathematical Operations - Question 10

2 + 3 × 6 - 12 ÷ 4 = 17
2 + 3  × 6 - 3 = 2 + 18 - 3 = 17

Math Olympiad Test: Mathematical Operations - Question 11

Direction: In the following questions, three statements of numbers following some rules are given. Find the rule and accordingly find the value of the number.

If 3 + 5 = 16; 7 + 9 = 64; 10 + 12 = 121 then 11 + 3 =?

Detailed Solution for Math Olympiad Test: Mathematical Operations - Question 11

3 + 5 = 3 × 5 + 1 = 16
11 + 3  = 11 × 3 + 1 = 34

Math Olympiad Test: Mathematical Operations - Question 12

Direction: In the following questions, three statements of numbers following some rules are given. Find the rule and accordingly find the value of the number.

If 3 × 4 = 14; 5 × 6 = 33; 7 × 8 = 60 then 8 × 9 =?

Detailed Solution for Math Olympiad Test: Mathematical Operations - Question 12

3 × 4 = 3 × 4 + 2 = 14 in first example
5 × 6 = 5 × 6 + 3 = 33 in second example
7 × 8 = 7 × 8 + 4 = 60 in third example
Therefore,
8 × 9 = 8 × 9 + 5 = 77 in fourth

Math Olympiad Test: Mathematical Operations - Question 13

Direction: In the following questions, three statements of numbers following some rules are given. Find the rule and accordingly find the value of the number.

3 + 9 = 31; 15 + 12 = 45; 18 + 9 = 36 then 12 + 27 =?

Detailed Solution for Math Olympiad Test: Mathematical Operations - Question 13

3 + 9


Math Olympiad Test: Mathematical Operations - Question 14

Direction: In each of the following questions, three statements of numbers following some rules are given. Find the rule and accordingly find the value of the number.

If 20 - 10 means 200, 8/4 means 12, 6 - 2 means 4, then 100 - 10 x 1000/1000 + 100 x 10 =?

Detailed Solution for Math Olympiad Test: Mathematical Operations - Question 14

Given 20 - 10 = 200
but 20 × 10 = 200; - stands for ×.
Given 8 ÷ 4 = 12 but 8 + 4 = 12
∴ ÷ stands for +
Given 6 × 2 = 4 but 6 - 2 = 4
∴ × stands for -
Given expression
= 100 - 10 × 1000 ÷ 1000 + 100 × 10
= 100 × 10 - 1000 + 1000 ÷ 100 - 10
= 1000 - 1000 + 1000 ÷ 100 - 10
=1000 - 1000 + 10 - 10
= 0 + 0 = 0

Math Olympiad Test: Mathematical Operations - Question 15

Direction: In each of the following questions, three statements of numbers following some rules are given. Find the rule and accordingly find the value of the number.

If + means -, - means ×, ÷ means + and + means ÷ then (3 - 5 ÷ 19) × 8 + 6 =?

Detailed Solution for Math Olympiad Test: Mathematical Operations - Question 15

Using correct symbols, we have
(3 × 15 + 19) ÷ 8 - 6
= (45 + 19) ÷ 8 - 6
= 64 ÷ 8 - 6 = 8 - 6 = 2

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