Olympiad Test: Mathematical Operations - 2 - Class 6 MCQ

Given the new symbol notations:

• m stands for '÷'
• n stands for '−'
• p stands for '×'
• b stands for '+'

We need to evaluate the expression 16 p 4 b 28 m 7 n 8 using the new notation.

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

• p becomes '×'
• b becomes '+'
• m becomes '÷'
• n becomes '−'

So, the expression 16 p 4 b 28 m 7 n 8 becomes: 16 × 4 + 28 ÷ 7 − 8

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

• First, do the multiplication and division from left to right:
  • 16 × 4 = 64
  • 28 ÷ 7 = 4

So, the expression becomes: 64 + 4 − 8

• Now, perform the addition and subtraction from left to right:
  • 64 + 4 = 68
  • 68 − 8 = 60

Step 3: Final answer: The value of the expression is 60.

Given the new symbol notations:

• '+' denotes 'multiplication'
• '×' denotes 'subtraction'
• '÷' denotes 'addition'
• '−' denotes 'division'

We need to evaluate the expression 175 − 25 ÷ 5 + 20 × 3 + 10 using the new notation.

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

• '−' becomes division (i.e., '÷')
• '÷' becomes addition (i.e., '+')
• '+' becomes multiplication (i.e., '×')
• '×' becomes subtraction (i.e., '−')

So, the expression 175 − 25 ÷ 5 + 20 × 3 + 10 becomes: 175 ÷ 25 + 5 × 20 − 3 × 10

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

• First, do the division and multiplication from left to right:
  • 175 ÷ 25 = 7
  • 5 × 20 = 100
  • 3 × 10 = 30

So, the expression becomes: 7 + 100 − 30

• Now, perform the addition and subtraction from left to right:
  • 7 + 100 = 107
  • 107 − 30 = 77

Final answer: The value of the expression is 77.

So, the correct option is C: 77.

Given the new symbol notations:

• + means division (÷)
• × means addition (+)
• - means multiplication (×)
• ÷ means subtraction (−)

We need to evaluate the expression 18 × 44 + 11 × 3 - 2 using the new notation.

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

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

So, the expression 18 × 44 + 11 × 3 - 2 becomes: 18 + 44 ÷ 11 + 3 × 2

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

• First, do the division and multiplication from left to right:
  • 44 ÷ 11 = 4
  • 3 × 2 = 6

So, the expression becomes: 18 + 4 + 6

• Now, perform the addition from left to right:
  • 18 + 4 = 22
  • 22 + 6 = 28

Final answer: The value of the expression is 28.

So, the correct option is D: 28.

Given the new symbol notations:

• p denotes '÷'
• q denotes '+'
• r denotes '−'
• t denotes '×'

We need to evaluate the expression 11 q 15 r 8 p 4 t 5 using the new notation.

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

• q becomes '+'
• r becomes '−'
• p becomes '÷'
• t becomes '×'

So, the expression 11 q 15 r 8 p 4 t 5 becomes: 11 + 15 − 8 ÷ 4 × 5

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

• First, do the division and multiplication from left to right:
  • 8 ÷ 4 = 2
  • 2 × 5 = 10

So, the expression becomes: 11 + 15 − 10

• Now, perform the addition and subtraction from left to right:
  • 11 + 15 = 26
  • 26 − 10 = 16

Final answer: The value of the expression is 16.

So, the correct option is D: 16.

Given the new symbol notations:

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

We need to evaluate the expression 175 P 25 S 8 Q 2 R 20 using the new notation.

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

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

So, the expression 175 P 25 S 8 Q 2 R 20 becomes: 175 ÷ 25 + 8 × 2 − 20

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

• First, perform division and multiplication from left to right:
  • 175 ÷ 25 = 7
  • 8 × 2 = 16

So, the expression becomes: 7 + 16 − 20

• Now, perform addition and subtraction from left to right:
  • 7 + 16 = 23
  • 23 − 20 = 3

Final answer: The value of the expression is 3.

So, the correct option is B: 3.

Given the new symbol notations:

• E means '×'
• F means '÷'
• G means '−'
• H means '+'

We need to evaluate the expression 8 F 8 H 8 E 8 G 8 using the new notation.

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

• F becomes '÷'
• H becomes '+'
• E becomes '×'
• G becomes '−'

So, the expression 8 F 8 H 8 E 8 G 8 becomes: 8 ÷ 8 + 8 × 8 − 8

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

• First, perform division and multiplication from left to right:
  • 8 ÷ 8 = 1
  • 8 × 8 = 64

So, the expression becomes: 1 + 64 − 8

• Now, perform addition and subtraction from left to right:
  • 1 + 64 = 65
  • 65 − 8 = 57

Final answer: The value of the expression is 57.

So, the correct option is D: 57.

Given the new symbol notations:

• A stands for '+'
• B stands for '−'
• C stands for '×'
• D stands for '÷'

We need to evaluate the expression 5 C 5 D 5 A 5 B 5 using the new notation.

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

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

So, the expression 5 C 5 D 5 A 5 B 5 becomes: 5 × 5 ÷ 5 + 5 − 5

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

• First, do the multiplication and division from left to right:
  • 5 × 5 = 25
  • 25 ÷ 5 = 5

So, the expression becomes: 5 + 5 − 5

• Now, perform the addition and subtraction from left to right:
  • 5 + 5 = 10
  • 10 − 5 = 5

Final answer: The value of the expression is 5.

So, the correct option is B: 5.

Given the new symbol notations:

• A means '+'
• D means '÷'
• M means '×'
• S means '−'

We need to evaluate the expression 8 M 4 A 18 D 6 S 3 using the new notation.

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

• M becomes '×'
• A becomes '+'
• D becomes '÷'
• S becomes '−'

So, the expression 8 M 4 A 18 D 6 S 3 becomes: 8 × 4 + 18 ÷ 6 − 3

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

• First, perform multiplication and division from left to right:
  • 8 × 4 = 32
  • 18 ÷ 6 = 3

So, the expression becomes: 32 + 3 − 3

• Now, perform addition and subtraction from left to right:
  • 32 + 3 = 35
  • 35 − 3 = 32

Final answer: The value of the expression is 32.

So, the correct option is D: 32.

Given the new symbol notations:

• '+' is called 'subtraction' (−)
• '−' is called 'multiplication' (×)
• '÷' is called 'addition' (+)
• '×' is called 'division' (÷)

We need to evaluate the expression 9 × 3 ÷ 4 − 1 + 2 using the new notation.

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

• '×' becomes 'division' (÷)
• '÷' becomes 'addition' (+)
• '−' becomes 'multiplication' (×)
• '+' becomes 'subtraction' (−)

So, the expression 9 × 3 ÷ 4 − 1 + 2 becomes: 9 ÷ 3 + 4 × 1 − 2

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

• First, do the division and multiplication from left to right:
  • 9 ÷ 3 = 3
  • 4 × 1 = 4

So, the expression becomes: 3 + 4 − 2

• Now, perform the addition and subtraction from left to right:
  • 3 + 4 = 7
  • 7 − 2 = 5

Final answer: The value of the expression is 5.

So, the correct option is A: 5.

Given the new symbol notations:

• E means '×'
• F means '÷'
• G means '−'
• H means '+'

We need to evaluate the expression 4 H 42 F 14 E 5 G 9 using the new notation.

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

• H becomes '+'
• F becomes '÷'
• E becomes '×'
• G becomes '−'

So, the expression 4 H 42 F 14 E 5 G 9 becomes: 4 + 42 ÷ 14 × 5 − 9

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

• First, perform division and multiplication from left to right:
  • 42 ÷ 14 = 3
  • 3 × 5 = 15

So, the expression becomes: 4 + 15 − 9

• Now, perform addition and subtraction from left to right:
  • 4 + 15 = 19
  • 19 − 9 = 10

Final answer: The value of the expression is 10.

So, the correct option is D: 10.