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All questions of Mathematical Operations for Class 6 Exam

lf'+' denotes 'multiplication', ′×′denotes 'subtraction',′÷′, denotes 'addition', and ′−′, denotes 'division', then 175 − 25 ÷ 5 + 20 × 3 + 10 =?
  • a)
    160
  • b)
    70
  • c)
    77
  • d)
    240
Correct answer is option 'C'. Can you explain this answer?

Shivam Sen answered
Understanding the Operations
In this problem, we need to decode the operations based on the symbols given:
- lf+ denotes multiplication
- ′×′ denotes subtraction
- ′÷′ denotes addition
- ′−′ denotes division
Rewriting the Expression
The original expression is:
175 − 25 ÷ 5 + 20 × 3 + 10
Now, replacing the symbols based on their meanings:
- 175 × 25 + 5 - 20 lf+ 3 + 10
This translates to:
175 - (25 + 5) + (20 × 3) + 10
Performing the Calculations
Now, let's solve the expression step by step:
1. Calculate 25 ÷ 5:
- 25 + 5 = 30
2. Calculate 20 × 3:
- 20 × 3 = 60
3. Substituting back into the expression:
- 175 - 30 + 60 + 10
4. Performing each operation in order:
- 175 - 30 = 145
- 145 + 60 = 205
- 205 + 10 = 215
Final Calculation
Now, let's check the final computation step by step:
- Start with 175
- Subtract 30 (result is 145)
- Add 60 (result is 205)
- Finally, add 10 (result is 215)
However, re-evaluating based on the new interpretation of operations, let's confirm the calculation:
1. 175 - (25 + 5) = 175 - 30 = 145
2. 145 + (20 × 3) = 145 + 60 = 205
3. 205 + 10 = 215
Conclusion
After carefully evaluating all the operations, the computed answer is indeed 215. However, if the correct answer is stated as option 'C' (77), there may be a need to double-check the initial symbols or the intended operations.

In a certain code, m stands for ′÷′, n stands for ′−′,p stands for ′×′, b stands for'+', then the value of 16 p 4 b 28 m 7 n 8 is
  • a)
    68
  • b)
    60
  • c)
    62
  • d)
    56
Correct answer is option 'B'. Can you explain this answer?

Kds Coaching answered
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.

If + means ÷, × means +, - means ×, and ÷ means -, then what will be the value of 18 × 44 + 11 × 3 - 2?
  • a)
    23
  • b)
    24
  • c)
    27
  • d)
    28
Correct answer is option 'D'. Can you explain this answer?

Kds Coaching answered
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.

If P means ÷, Q means ×, R means - and S means +, then what will be the result of 175 P 25 S 8 Q 2 R 20?
  • a)
    2
  • b)
    3
  • c)
    4
  • d)
    5
Correct answer is option 'B'. Can you explain this answer?

Kds Coaching answered
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.

If A stands for'+? B stands for′−′, C stands for′×′and D stands for′÷′, then 5 C 5 D 5 A 5 B  5=?
  • a)
    0
  • b)
    5
  • c)
    10
  • d)
    15
Correct answer is option 'B'. Can you explain this answer?

Kds Coaching answered
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.

If'+' is called 'subtraction?,′−′is called 'multiplication ′÷′, is called 'addition' and ′×′ is called 'division: then 9×3÷4−1+2=?
  • a)
    5
  • b)
    3/2
  • c)
    -1
  • d)
    4
Correct answer is option 'A'. Can you explain this answer?

Kds Coaching answered
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.

If 'p' denotes ′÷′, 'q' denotes'+', 'r' denotes′−′ and 't' denotes ′×′ then 11 q 15 r 8 p 4 t 5=?
  • a)
    36
  • b)
    20
  • c)
    26
  • d)
    16
Correct answer is option 'D'. Can you explain this answer?

Kds Coaching answered
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.

If E means ×, F means ÷, G means -, and H means +, then what will be the value of 8 F 8 H 8 E 8 G 8?
  • a)
    53
  • b)
    54
  • c)
    55
  • d)
    57
Correct answer is option 'D'. Can you explain this answer?

Kds Coaching answered
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.

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