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All questions of Computation Operations for Class 5 Exam

What is the value of (33 – 2 × 7) + (5 × 3 – 22)?
  • a)
    8
  • b)
    24
  • c)
    186
  • d)
    536
Correct answer is option 'B'. Can you explain this answer?

Aditi Sharma answered
There are two sets of Brackets, so do one at a time.
First Bracket:
33 – 2 × 7 Do Order (the exponent “3”) first:
33 – 2 × 7 = 27 – 2 × 7
Then do Multiplication:
27 – 2 × 7 = 27 – 14
and finally Subtraction:
27 – 14 = 13
Second Bracket:
5 × 3 – 22
Do Orders first:
5 × 3 – 22 = 5 × 3 – 4
Next do Multiplication:
5 × 3 – 4 = 15 – 4
Next do Subtraction:
15 – 4 = 11
Now complete the final Addition:
(33 – 2 × 7) + (5 × 3 – 22)
= 13 + 11 = 24

What is the value of (15 ÷ 3 + 4) – (32 –7× 2)?
  • a)
    -1.86
  • b)
    4
  • c)
    5
  • d)
    14
Correct answer is option 'D'. Can you explain this answer?

Nilanjan Unni answered
Using BODMAS rule
First Bracket:
15 ÷ 3 + 4
Do Division first:
15 ÷ 3 + 4 = 5 + 4
Then do Addition:
5 + 4 = 9
Second Bracket:
32 – 7 × 2
Do Orders first : [Remember that 32 means 3 × 3 = 9, not 3 × 2 = 6] Next do Multiplication:
32 – 7 × 2 = 9 – 7 × 2
9 – 7 × 2 = 9 – 14
Next Subtraction:
9 – 14 = – 5
Now complete the final Subtraction:
(15 ÷ 3 + 4) – (32 – 7 × 2) = 9 – (–5)
Lastly, subtracting a negative becomes a simple addition:
9 – (– 5) = 9 + 5 = 14

Evaluate 5 + 6 × 2 – 8 ÷ 4.
  • a)
    3
  • b)
    15
  • c)
    -4
  • d)
Correct answer is option 'B'. Can you explain this answer?

Partho Nair answered
We have 5 + 6 × 2 – 8 ÷ 4
= 5 + 6 × 2 – 2
= 5 + 12 – 2 
= 17 – 2 = 15 

Evaluate 43 + 9 × 2 – 8
  • a)
    – 42
  • b)
    22
  • c)
    10
  • d)
    74 
Correct answer is option 'D'. Can you explain this answer?

Partho Nair answered
Here 43 + 9 × 2 – 8
= 64 + 9 × 2 – 8 
= 64 + 18 – 8 
= 82 – 8 = 74 

What is the value of (3 + 2)2 – 5 × 3 + 23?
  • a)
    2
  • b)
    6
  • c)
    18
  • d)
    38
Correct answer is option 'C'. Can you explain this answer?

Jyoti Kaur answered
As per the BODMAS rule:
Start with: (3 + 2)2 – 5 × 3 + 23
Do the Bracket first: (3 + 2) = 5
⇒ 52 – 5 × 3 + 23
Next we do the orders:
52 = 25 and  23 = 8
⇒ 25 – 5 × 3 + 8
Next we do the Multiplication:
⇒ 25 – 15 + 8
finally we do the Addition and Subtraction, in left-to-right order:
⇒ 10 + 8 
= 18

What is the value of 30 – (5 × 23 – 15)?
  • a)
    –25
  • b)
    5
  • c)
    15
  • d)
    –15
Correct answer is option 'B'. Can you explain this answer?

Tanishq Mehra answered
As per the BODMAS rule:
30 – (5×23 – 15)
=30 – (5×8 – 15)
=30 – (40 – 15)
=30 – 25
=5

Evaluate 10 – 33 + 5 – 2(4 – 8).
  • a)
    – 20
  • b)
    14 
  • c)
    – 4
  • d)
    – 12 
Correct answer is option 'C'. Can you explain this answer?

Nilanjan Unni answered
Here 10 – 33 + 5 – 2(4 – 8)
= 10 – 27 + 5 – 2(4 – 8) 
= 10 – 27 + 5 – 2 (– 4) 
= 10 – 27 + 5 – (– 8) 
= 10 – 27 + 5 – (– 8) 
= – 17 + 5 – (– 8) 
= – 17 + 5 + 8 
= – 12 + 8 = – 4

Divide the greatest number of 9 digits by the greatest number of 3 digits.
  • a)
    1001001
  • b)
    1001101
  • c)
    1001011
  • d)
    1000001
Correct answer is option 'A'. Can you explain this answer?

Ruchi Basu answered
Solution:

To find out the greatest number of 9 digits, we need to consider the number with all the digits as 9.

Therefore, the greatest 9 digit number is 999999999.

To find out the greatest number of 3 digits, we need to consider the number with all the digits as 9.

Therefore, the greatest 3 digit number is 999.

Now, we need to divide the greatest number of 9 digits i.e., 999999999 by the greatest number of 3 digits i.e., 999.

The division can be performed as follows:

1001001
____________
999|999999999
|999
|_________
|000999999
|000999
|_________
|000000999
|000000999
|__________
0

Therefore, the answer is option 'A' i.e., 1001001.

Explanation:

To divide any two numbers, we need to follow certain steps. In this case, we need to perform the following steps:

Step 1: Find out the greatest number of 9 digits i.e., 999999999.

Step 2: Find out the greatest number of 3 digits i.e., 999.

Step 3: Perform the division by placing the dividend i.e., 999999999 under the division symbol and the divisor i.e., 999 outside the division symbol.

Step 4: Check how many times the divisor i.e., 999 can be divided by the first few digits of the dividend i.e., 999. In this case, 999 can be divided by 999 only once.

Step 5: Write down the quotient i.e., 1 above the first digit of the dividend i.e., 9.

Step 6: Multiply the divisor i.e., 999 by the quotient i.e., 1 and write down the result below the first few digits of the dividend i.e., 999.

Step 7: Subtract the result obtained in step 6 from the first few digits of the dividend i.e., 999 to get the remainder i.e., 0.

Step 8: Bring down the next digit of the dividend i.e., 9 and add it to the remainder i.e., 0 to get the new dividend i.e., 09.

Step 9: Repeat steps 4 to 8 until all the digits of the dividend i.e., 999999999 are used.

Step 10: The final answer is the quotient obtained in step 5 i.e., 1001001.

Evaluate 9 + 2(7×3) – 92.
  • a)
    – 30
  • b)
    – 33
  • c)
    33
  • d)
    150 
Correct answer is option 'A'. Can you explain this answer?

Nilanjan Unni answered
We have 9 + 2(7×3) – 92
= 9 + 2(7×3) – 81 
= 9 + 2(21) – 81 
= 9 + 42 – 81 
= 51 – 81 = – 30

Find the dividend when the divisor = 241, quotient = 135 and the remainder = 30.
  • a)
    32563
  • b)
    32565
  • c)
    32165
  • d)
    32265
Correct answer is option 'B'. Can you explain this answer?

Athul Malik answered
Given data:
Divisor (d) = 241
Quotient (q) = 135
Remainder (r) = 30

To find:
Dividend (D) = ?

Formula:
Dividend = Divisor × Quotient + Remainder

Calculation:
Using the above formula, we can calculate the dividend as:

D = d × q + r
D = 241 × 135 + 30
D = 32565

Therefore, the dividend is 32565, which is option B.

HTML Code:
Given data:


  • Divisor (d) = 241

  • Quotient (q) = 135

  • Remainder (r) = 30



Formula:

Dividend = Divisor × Quotient + Remainder


Calculation:

D = d × q + r

D = 241 × 135 + 30

D = 32565


Answer:

The dividend is 32565, which is option B.

The difference of two numbers is 136452 and the smaller number is 910658. Find the larger number.
  • a)
    1047199
  • b)
    1047110
  • c)
    1047201
  • d)
    104700
Correct answer is option 'B'. Can you explain this answer?

Problem Statement:
The difference of two numbers is 136452 and the smaller number is 910658. Find the larger number.

Solution:
Given,
The difference of two numbers = 136452
The smaller number = 910658

Let's assume the larger number as x.

Then, we can write the equation as:
x - 910658 = 136452

Adding 910658 on both sides, we get:
x = 136452 + 910658
x = 1047110

Therefore, the larger number is 1047110.

Answer: Option B (1047110)

Explanation:
We can solve this problem by using simple algebraic equations. We assume the larger number as 'x' and write the equation based on the given information. Then, we solve the equation to get the value of 'x' which represents the larger number. In this problem, we used the equation x - 910658 = 136452 to find the value of 'x'. After solving the equation, we got the value of 'x' as 1047110 which represents the larger number.

Add 456456 + 367890
  • a)
    84.4344
  • b)
    824346
  • c)
    824306
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Aditya Shah answered
Explanation:
To add the numbers 456456 and 367890, we need to follow the rules of addition.

Step 1:
Start by adding the rightmost digits, which are 6 and 0. This gives us 6.

Step 2:
Next, add the next digits to the left, which are 5 and 9. This gives us 14. Write down the 4 and carry over the 1 to the next column.

Step 3:
Add the next digits, which are 6 and 8, and don't forget to add the carried-over 1. This gives us 15. Write down the 5 and carry over the 1 to the next column.

Step 4:
Add the next digits, which are 4 and 7, and again add the carried-over 1. This gives us 12. Write down the 2 and carry over the 1 to the next column.

Step 5:
Add the next digits, which are 5 and 3, and add the carried-over 1. This gives us 9.

Step 6:
Finally, add the leftmost digits, which are 4 and 6. This gives us 10.

Step 7:
Write down the 0 and carry over the 1.

Step 8:
Since there are no more digits to add, write down the carried-over 1 at the leftmost column.

Final Answer:
The sum of 456456 and 367890 is 824346. Therefore, the correct answer is option 'B'.

Evaluate  –43 + (8 × 11) ÷ 4.
  • a)
    -6
  • b)
    154
  • c)
    -42
  • d)
Correct answer is option 'C'. Can you explain this answer?

Jyoti Kaur answered
Here – 43 + (8 × 11) ÷ 4
= – 64 + (8 × 11) ÷ 4 
= – 64 + 88 ÷ 4 
= – 64 + 22 = – 42 

What is the correct verbal phrase for the following expression?
9 – 8 x 2
  • a)
    the difference of 9 and 8, multiplied by 2
  • b)
    the product of 8 and 2, subtracted from 9
  • c)
    the quotient of 8 and 2, subtracted from 9
  • d)
    the difference of 9 and 8, divided by 2
Correct answer is option 'B'. Can you explain this answer?

Anirban Saini answered
The order of operations states that multiplication and division must be performed before addition and subtraction. So for this expression, the correct verbal phrase would be: “the product of 8 and 2, subtracted from 9.”

Which of the following expressions evaluates to 23?
  • a)
    6 + 6 x 5 – 4
  • b)
    6 + 5 x 4 – 6
  • c)
    4 + 6 x 6 – 5
  • d)
    5 + 4 x 6 – 6
Correct answer is option 'D'. Can you explain this answer?

Partho Nair answered
The correct answer is 5 + 4 x 6 – 6. The order of operations states that multiplication is to be performed before addition and subtraction.
= 5 + 4 × 6 – 6 = 5 + 24 – 6
= 5 + 24 – 6 = 29 – 6
= 29 – 6 = 23

What is the value of 70 – 6 (4 – 2) + 12 =?
  • a)
    94
  • b)
    70
  • c)
    140
  • d)
    46
Correct answer is option 'B'. Can you explain this answer?

Bijoy Goyal answered
Required value = 70 – 6 (4 – 2) + 12 = 70 – 6 × 2 + 12
= 70 – 12 + 12
= 58 + 12
= 70

What is the value of 5 × 3 – 12 ÷ 4 + 8 ?
  • a)
    3
  • b)
    4
  • c)
    14
  • d)
    20
Correct answer is option 'D'. Can you explain this answer?

Alok Chavan answered
As per BODMAS rule, we do the division and multiplication before the additions and subtraction.
Multiplication and division rank equally and are done left-to-right :
5 × 3 – 12 ÷ 4 + 8
= 5 x 3 – 3 + 8
= 15 - 3 + 8
= 12 + 8 
= 20

What is the value of (42 – 6 + 5) / (32 + 8 – 7 × 2)?
  • a)
    5
  • b)
    11
  • c)
    6
  • d)
    7
Correct answer is option 'A'. Can you explain this answer?

Anirban Saini answered
There are two sets of Brackets, so do one at a time.
First Bracket:
42 – 6 + 5
Do Order first:
42 – 6 + 5 = 16 – 6 + 5
Then do Subtraction and finally Addition:
16 – 6 + 5 = 10 + 5 = 15
Second Bracket:
32 + 8 – 7 × 2
Do Orders first:
32 + 8 – 7 × 2 = 9 + 8 – 7 × 2
Next do Multiplication:
9 + 8 – 7 × 2 = 9 + 8 – 14
Next do Addition and finally Subtraction:
9 + 8 – 14 = 17 – 14 = 3
Now complete the final Division:
(42 – 6 + 5) / (32 + 8 – 7 × 2) = 15 / 3 = 5

Evaluate 2 + 4 × 6 – 23 ÷ 4.
  • a)
    7
  • b)
  • c)
    24
  • d)
    34
Correct answer is option 'C'. Can you explain this answer?

Required value
= 2 + 4 × 6 – 23 ÷ 4 
= 2 + 4 × 6 – 8 ÷ 4 
= 2 + 4 × 6 – 2 
= 2 + 24 – 2
= 26 – 2 = 24 

Simplify 656666 + 432141 – 765432
  • a)
    323375
  • b)
    323105
  • c)
    323195
  • d)
    323175
Correct answer is option 'A'. Can you explain this answer?

Kds Coaching answered
Let's simplify the expression:
656666 + 432141 – 765432
First, add 656666 and 432141:
656666 + 432141 = 1087807
Now subtract 765432 from 1087807:
1087807 – 765432 = 323375
So the correct answer is:
a) 323375

Evaluate 6 × 2 + 3 – 35 ÷ 7.
  • a)
    25
  • b)
    10 
  • c)
    – 25
  • d)
    – 10 
Correct answer is option 'B'. Can you explain this answer?

Here 6 × 2 + 3 – 35 ÷ 7
= 12 + 3 – 35 ÷ 7 
= 12 + 3 – 5
= 12 + 3 – 5 
= 15 – 5 = 10 

Determine which step you would do first in the following problem:
​32 ÷ 4 + (3 × 7) × 18 + 5 
  • a)
    18 + 5
  • b)
    4 + 3 
  • c)
    (3 × 7)
  • d)
    32 ÷ 4
Correct answer is option 'C'. Can you explain this answer?

Soumya Patel answered
Understanding the Problem
To solve the expression 32 ÷ 4 + (3 × 7) × 18 + 5, we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
Identifying the First Step
Among the options provided, we need to determine which operation should be executed first:
- a) 18 + 5
- b) 4 + 3
- c) (3 × 7)
- d) 32 ÷ 4
Why Option C is Correct
- Parentheses First: According to the order of operations, any calculations inside parentheses should be prioritized.
- Option C (3 × 7): This operation is within parentheses and must be completed before any other operations.
Breaking Down Other Options
- Option A (18 + 5): This addition occurs after the multiplication and should only be done after resolving the parentheses and other operations.
- Option B (4 + 3): This addition is not part of the expression and is irrelevant in determining the first calculation.
- Option D (32 ÷ 4): Although division is important, it comes after resolving operations within parentheses.
Conclusion
Therefore, the correct first step is to calculate (3 × 7), as it is crucial to follow the order of operations correctly. By doing this, we lay the groundwork for solving the entire expression accurately.

What is the value of 5 × 4 – 2 × 3 + 16 ÷ 4 ?
  • a)
    10
  • b)
    11½
  • c)
    18
  • d)
    34
Correct answer is option 'C'. Can you explain this answer?

Puja Chopra answered
As per BODMAS rule, we do the Division and Multiplication before the Addition and Subtraction:
So      5 × 4 = 20
          2 × 3 = 6
and    16 ÷ 4 = 4
Therefore,
5 × 4 – 2 × 3 + 16 ÷ 4
= 20 – 6 + 4
Subtraction and Addition rank equally, so we do the Subtraction next and then the Addition.
Therefore, 20 – 6 + 4 = 14 + 4 = 18

Find the quotient 618974 ÷ 56
  • a)
    11053
  • b)
    11052
  • c)
    11051
  • d)
    11000
Correct answer is option 'A'. Can you explain this answer?

Jay Rane answered
I'm sorry, but you did not provide a divisor for this division problem. Please specify a divisor.

What is the value of 3 + 6 ÷ 3 × 2?
  • a)
    7
  • b)
    6
  • c)
    4
  • d)
    1.5
Correct answer is option 'A'. Can you explain this answer?

As per BODMAS rule, we do the division first, then the multiplication and finally the addition:
∴Required value = 3 + 6 ÷ 3 × 2
= 3 + 2 × 2
= 3 + 4
= 7

Evaluate (63 ÷ 4) – 4 × 5 + 3(7 – 2).
  • a)
    49
  • b)
    19
  • c)
    15
  • d)
    53 
Correct answer is option 'A'. Can you explain this answer?

Anirban Saini answered
Given (63 ÷ 4) – 4 × 5 + 3(7 – 2)
= (216 ÷ 4) – 4 × 5 + 3(7 – 2) 
= (54) – 4 × 5 + 3(7 – 2) 
= 54 – 4 × 5 + 3(5) 
= 54 – 20 + 3(5) 
= 54 – 20 + 15
= 34 + 15 = 49

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