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Class 6 Exam  >  Class 6 Tests  >  Olympiad Test: Mathematical Operations - 1 - Class 6 MCQ

Olympiad Test: Mathematical Operations - 1 - Class 6 MCQ


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10 Questions MCQ Test - Olympiad Test: Mathematical Operations - 1

Olympiad Test: Mathematical Operations - 1 for Class 6 2024 is part of Class 6 preparation. The Olympiad Test: Mathematical Operations - 1 questions and answers have been prepared according to the Class 6 exam syllabus.The Olympiad Test: Mathematical Operations - 1 MCQs are made for Class 6 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Olympiad Test: Mathematical Operations - 1 below.
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Olympiad Test: Mathematical Operations - 1 - Question 1
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If 'Q' stands for' added to; 'J' stands for 'multiplied by; T stands for' subtraction 'and 'P? stands for 'divided by' then 3 0 P 2 Q 3 J 6 T  5=?

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

Let's substitute the symbols with the actual mathematical operations:

  • P stands for division (÷)
  • Q stands for addition (+)
  • J stands for multiplication (×)
  • T stands for subtraction (−)

The expression is:

3 0 P 2 Q 3 J 6 T 53 

Now, substitute the symbols:

3 0 ÷ 2 + 3 × 6 − 5

Step-by-step:

  1. 0 ÷ 2 = 0
  2. 3 × 6 = 18
  3. 0 + 18 − 5 = 28

So, the final answer is 28.

Answer: Option B: 28

Olympiad Test: Mathematical Operations - 1 - Question 2
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If P = 6, J = 4, L = 8 and M = 24, then M ÷ L × J + P=?

Detailed Solution for Olympiad Test: Mathematical Operations - 1 - Question 2

Let's substitute the given values into the expression:

Given:

  • P = 6
  • J = 4
  • L = 8
  • M = 24

The expression is:
M ÷ L × J + P

Substitute the values:
24 ÷ 8 × 4 + 6

Now, follow the order of operations (PEMDAS/BODMAS):

  1. 4 ÷ 8 = 32
  2. 3 × 4 = 12
  3. 12 + 6 = 18

So, the final result is 18.

Answer: Option D: 18

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Olympiad Test: Mathematical Operations - 1 - Question 3
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If '+', denotes '-', '−', denotes '+', '÷', denotes '×', and '×' denotes '÷', then what is the value of 3 ÷ 4 × 2 − 1 + 5?

Detailed Solution for Olympiad Test: Mathematical Operations - 1 - Question 3

Given the new symbol notations:

  • '+' denotes '-'
  • '−' denotes '+'
  • '÷' denotes '×'
  • '×' denotes '÷'

We need to evaluate the expression 3 ÷ 4 × 2 − 1 + 5 using the new notation.

Step 1: Replace the symbols as per the new notation.

  • '÷' becomes '×'
  • '×' becomes '÷'
  • '−' becomes '+'
  • '+' becomes '−'

So, the expression 3 ÷ 4 × 2 − 1 + 5 becomes: 3 × 4 ÷ 2 + 1 − 5

Step 2: Simplify the expression following the order of operations (BODMAS/BIDMAS).

  • First, do the multiplication and division from left to right:
    • 3 × 4 = 12
    • 12 ÷ 2 = 6

So, the expression becomes: 6 + 1 − 5

  • Now, perform the addition and subtraction from left to right:
    • 6 + 1 = 7
    • 7 − 5 = 2

Step 3: Final answer: The value of the expression is 2.

Olympiad Test: Mathematical Operations - 1 - Question 4
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If '+' denotes '×', '×' denotes '+', '−' denotes '÷', and '÷' denotes '−', then 5 + 3 × 2 − 10 ÷ 5=?
Detailed Solution for Olympiad Test: Mathematical Operations - 1 - Question 4

Given the new symbol notations:

  • '+' denotes '×'
  • '×' denotes '+'
  • '−' denotes '÷'
  • '÷' denotes '−'

We need to evaluate the expression 5 + 3 × 2 − 10 ÷ 5 using the new notation.

Step 1: Replace the symbols as per the new notation.

  • '+' becomes '×'
  • '×' becomes '+'
  • '−' becomes '÷'
  • '÷' becomes '−'

So, the expression 5 + 3 × 2 − 10 ÷ 5 becomes: 5 × 3 + 2 ÷ 10 − 5

Step 2: Simplify the expression following the order of operations (BODMAS/BIDMAS).

  • First, do the multiplication and division from left to right:
    • 5 × 3 = 15
    • 2 ÷ 10 = 0.2

So, the expression becomes: 15 + 0.2 − 5

  • Now, perform the addition and subtraction from left to right:
    • 15 + 0.2 = 15.2
    • 15.2 − 5 = 10.2

Step 3: Final answer: The value of the expression is 10.2

Olympiad Test: Mathematical Operations - 1 - Question 5
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If '+', denotes '×', '−' denotes '÷', '×', denotes '−', and '÷', denotes '+', then find the value of 2 + 15 ÷ 15 − 3 × 8?
Detailed Solution for Olympiad Test: Mathematical Operations - 1 - Question 5

Given the new symbol notations:

  • '+' denotes '×'
  • '−' denotes '÷'
  • '×' denotes '−'
  • '÷' denotes '+'

We need to evaluate the expression 2 + 15 ÷ 15 − 3 × 8 using the new notation.

Step 1: Replace the symbols as per the new notation.

  • '+' becomes '×'
  • '−' becomes '÷'
  • '×' becomes '−'
  • '÷' becomes '+'

So, the expression 2 + 15 ÷ 15 − 3 × 8 becomes: 2 × 15 + 15 ÷ 3 − 8

Step 2: Simplify the expression following the order of operations (BODMAS/BIDMAS).

  • First, do the multiplication and division from left to right:
    • 2 × 15 = 30
    • 15 ÷ 3 = 5

So, the expression becomes: 30 + 5 − 8

  • Now, perform the addition and subtraction from left to right:
    • 30 + 5 = 35
    • 35 − 8 = 27

Step 3: Final answer: The value of the expression is 27.

Olympiad Test: Mathematical Operations - 1 - Question 6
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If'+' denotes ′×′′−′ denotes ′÷′′×′denotes − and ′÷′denotes +, then 16 ÷ 64 − 8 × 4 + 2 =?
Detailed Solution for Olympiad Test: Mathematical Operations - 1 - Question 6

Given the new symbol notations:

  • '+' denotes '×'
  • '−' denotes '÷'
  • '×' denotes '−'
  • '÷' denotes '+'

We need to evaluate the expression 16 ÷ 64 − 8 × 4 + 2 using the new notation.

Step 1: Replace the symbols as per the new notation.

  • '+' becomes '×'
  • '−' becomes '÷'
  • '×' becomes '−'
  • '÷' becomes '+'

So, the expression 16 ÷ 64 − 8 × 4 + 2 becomes: 16 + 64 ÷ 8 − 4 × 2

Step 2: Simplify the expression following the order of operations (BODMAS/BIDMAS).

  • First, do the division and multiplication from left to right:
    • 64 ÷ 8 = 8
    • 4 × 2 = 8

So, the expression becomes: 16 + 8 − 8

  • Now, perform the addition and subtraction from left to right:
    • 16 + 8 = 24
    • 24 − 8 = 16

Step 3: Final answer: The value of the expression is 16.

Olympiad Test: Mathematical Operations - 1 - Question 7
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If $ denotes +, # denotes −, @ denotes × and * denotes ÷, then what is the value of 16 $ 4 @ 5 #72*8?
Detailed Solution for Olympiad Test: Mathematical Operations - 1 - Question 7

Given the new symbol notations:

  • '$' denotes '+'
  • '#' denotes '−'
  • '@' denotes '×'
  • '*' denotes '÷'

We need to evaluate the expression 16 $ 4 @ 5 # 72 * 8 using the new notation.

Step 1: Replace the symbols as per the new notation.

  • '$' becomes '+'
  • '#' becomes '−'
  • '@' becomes '×'
  • '*' becomes '÷'

So, the expression 16 $ 4 @ 5 # 72 * 8 becomes: 16 + 4 × 5 − 72 ÷ 8

Step 2: Simplify the expression following the order of operations (BODMAS/BIDMAS).

  • First, do the multiplication and division from left to right:
    • 4 × 5 = 20
    • 72 ÷ 8 = 9

So, the expression becomes: 16 + 20 − 9

  • Now, perform the addition and subtraction from left to right:
    • 16 + 20 = 36
    • 36 − 9 = 27

Step 3: Final answer: The value of the expression is 27.

Olympiad Test: Mathematical Operations - 1 - Question 8
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If P means ÷, Q means -, R means +, and S means ×, then what will be the value of 40 R 30 P 5 Q 4 S 3?
Detailed Solution for Olympiad Test: Mathematical Operations - 1 - Question 8

Given the new symbol notations:

  • P means ÷
  • Q means −
  • R means +
  • S means ×

We need to evaluate the expression 40 R 30 P 5 Q 4 S 3 using the new notation.

Step 1: Replace the symbols as per the new notation.

  • R becomes '+'
  • P becomes '÷'
  • Q becomes '−'
  • S becomes '×'

So, the expression 40 R 30 P 5 Q 4 S 3 becomes: 40 + 30 ÷ 5 − 4 × 3

Step 2: Simplify the expression following the order of operations (BODMAS/BIDMAS).

  • First, do the division and multiplication from left to right:
    • 30 ÷ 5 = 6
    • 4 × 3 = 12

So, the expression becomes: 40 + 6 − 12

  • Now, perform the addition and subtraction from left to right:
    • 40 + 6 = 46
    • 46 − 12 = 34

Step 3: Final answer: The value of the expression is 34.

Olympiad Test: Mathematical Operations - 1 - Question 9
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If P denotes 'multiplied by', Q denotes 'subtraction, M denotes' added to 'and L denotes' divided by; then 28 L 7 P 8 Q 6 M 4=?
Detailed Solution for Olympiad Test: Mathematical Operations - 1 - Question 9

Given the new symbol notations:

  • P denotes 'multiplied by' (i.e., ×)
  • Q denotes 'subtraction' (i.e., −)
  • M denotes 'added to' (i.e., +)
  • L denotes 'divided by' (i.e., ÷)

We need to evaluate the expression 28 L 7 P 8 Q 6 M 4 using the new notation.

Step 1: Replace the symbols as per the new notation.

  • L becomes '÷'
  • P becomes '×'
  • Q becomes '−'
  • M becomes '+'

So, the expression 28 L 7 P 8 Q 6 M 4 becomes: 28 ÷ 7 × 8 − 6 + 4

Step 2: Simplify the expression following the order of operations (BODMAS/BIDMAS).

  • First, do the division and multiplication from left to right:
    • 28 ÷ 7 = 4
    • 4 × 8 = 32

So, the expression becomes: 32 − 6 + 4

  • Now, perform the subtraction and addition from left to right:
    • 32 − 6 = 26
    • 26 + 4 = 30

Step 3: Final answer: The value of the expression is 30.

Olympiad Test: Mathematical Operations - 1 - Question 10
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If A means +, B means -, C means ×, and D means ÷, then what will be the value of 16 D 8 A 4 B 8 C 4?
Detailed Solution for Olympiad Test: Mathematical Operations - 1 - Question 10

Given the new symbol notations:

  • A means '+'
  • B means '−'
  • C means '×'
  • D means '÷'

We need to evaluate the expression 16 D 8 A 4 B 8 C 4 using the new notation.

Step 1: Replace the symbols as per the new notation.

  • A becomes '+'
  • B becomes '−'
  • C becomes '×'
  • D becomes '÷'

So, the expression 16 D 8 A 4 B 8 C 4 becomes: 16 ÷ 8 + 4 − 8 × 4

Step 2: Simplify the expression following the order of operations (BODMAS/BIDMAS).

  • First, do the division and multiplication from left to right:
    • 16 ÷ 8 = 2
    • 8 × 4 = 32

So, the expression becomes: 2 + 4 − 32

  • Now, perform the addition and subtraction from left to right:
    • 2 + 4 = 6
    • 6 − 32 = −26

Step 3: Final answer: The value of the expression is −26.

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