Bodmas Rule MCQ Quiz - Objective Question with Answer for Bodmas Rule - Download Free PDF

Given:

The simplified value of 127 - 7 × (17 + 6) + 93 is:

Calculation:

127 - 7 × (17 + 6) + 93

⇒ 127 - 7 × 23 + 93

⇒ 127 - 161 + 93

⇒ -34 + 93

⇒ 59

∴ The correct answer is option (1).

Given:

1980 ÷ 9 + [-77 + {-1980 + (1/4 of 7920)}]

Concept used:

BODMAS rule

Calculations:

1980 ÷ 9 + [-77 + {-1980 + (1/4 × 7920)}]

⇒ 1980 ÷ 9 + [-77 + {-1980 + (7920/4)}]

⇒ 1980 ÷ 9+ [-77 + {-1980 + (1980)}]

⇒ 1980 ÷ 9+ [-77 + {-1980 + 1980}]

⇒ 1980 ÷ 9 + [-77 + {0}]

⇒ 220 + [-77]

⇒ 220 - 77 = 143

∴ The simplified value of the equation is 143.

Formula used:

(a3 - b3)/ (a2 + ab + b2) = (a - b) (a² + ab + b²) / (a2 + ab + b2) 

Calculation:

Let the 0.53 be "a" and 0.12 be "b" .

(a³ - b³)/ (a² + ab + b²) = (a - b) (a2 + ab + b2) / (a2 + ab + b2) 

According to the above formula,

Simplify by Canceling the Common Factor:

Cancel the Common Terms:

Since a2 + ab + b2 is common in both the numerator and the denominator, they cancel each other out:

⇒ (a - b) (a2 + ab + b2) / (a2 + ab + b2) = (a - b)

⇒ 0.53  - 0.12 = 0.41

∴ The correct answer is 0.41

Given:

44 ÷ 11 × 4 + 5 × 8 ÷ 4 - 7 × 36 ÷ 14 + 7 × 4

Concept used:

Follow the BODMAS rule according to the table given below:

Calculation:

44 ÷ 11 × 4 + 5 × 8 ÷ 4 - 7 × 36 ÷ 14 + 7 × 4

⇒ 4 × 4 + 5 × 2 - 18 + 7 × 4

⇒ 16 + 10 - 18 + 28

⇒ 54 - 18

⇒ 36

∴ The value is 36.

Given:

5 × 2 + (3.5 - 1.5) of (3 - 3)

Calculation:

5 × 2 + (3.5 - 1.5) of (3 - 3)

⇒ 5 × 2 + (3.5 - 1.5) of 0

⇒ 5 × 2 + 2 × 0

⇒ 10

∴ The result is: 10

Solution:

We have to follow the BODMAS rule

Calculation:

⇒ ? = 3²

∴ ? = 9

Concept used:

ax × ay = ax + y

ax ÷ ay = ax - y

Calculation:

(4 × 4)³ ÷ (512 ÷ 8)⁴ × (32 × 8)⁴ = (2 × 2)^{(? + 4)}

⇒ 4⁶ ÷ (64)⁴ × 256⁴ = (4)^{(? + 4)}

⇒ 4⁶ ÷ (4³)⁴ × (4⁴)⁴ = (4)^{(? + 4)}

⇒ 4^{(6 + 16 - 12)} = (4)^{(? + 4)}

⇒ 4¹⁰ = (4)^{(? + 4)}

So, ? + 4 = 10

⇒ ? = 10 - 4

∴ ? = 6

Shortcut Trick Formula:

(a+b)2 - 4ab = (a-b)2

Calculation:

(957 + 932)2 - 4 × 957 × 932

= (957 - 932)2

= 252 = 625

Alternate Method GIVEN:

 - 4 × 957 × 932.

FORMULA USED:

BODMAS 

CALCULATION :

⇒  - 4 × 957 × 932 

⇒ 3568321 - 4 × 957 × 932 

⇒ 3568321 - 3567696  =  625 

∴ The value is 625.

Follow BODMAS (Brackets, Of, Division, Multiplication, Addition, Subtraction) rule to solve this question, as per the order given below,

Step-1- Parts of an equation enclosed in 'Brackets' must be solved inside the bracket first,

Step-2-  Then any mathematical 'Of' or 'Exponent' must be solved,

Step-3- Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated,

Step-4- Last but not least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

1251/3 × 271/3 × 1254/3 = 15 × 5?

⇒ 5 × 3 × 5⁴ = 15× 5^x

⇒ 15 × 5 ⁴ = 15× 5^x

⇒ x = 4

Hence option 4 is correct.

Concept used:

Follow BODMAS rule to solve this question, as per the order given below:

⇒ 8 = (?)³/(2)³

⇒ (2)³ = (?)³/(2)³

⇒ 2³ × 2³ = (?)³

⇒ 4³ = (?)³

⇒ ? = 4

∴ The value of ? is 4.

Using BODMAS rule:

⇒ 63 - (- 3)(- 2 - 8 - 4) ÷ [3 {5 + (- 2)(- 1)}]

⇒ 63 - (- 3)(- 2 - 8 - 4) ÷ [3 {5 + 2}]

⇒ 63 - (42) ÷ 21

⇒ 61

Concept used:

Calculation:

196² × 56 ÷ 14⁵ × 1021 

⇒ (14²)² × (56/14⁵) × 1021 

⇒ [14⁴ × (56/145)] × 1021 

⇒ (56/14) × 1021 

⇒ 4 × 1021 = 4084

∴ The answer will be 4084.

Concept used:

Calculation:

⇒ 56 ÷ [(1/3){15 + 12 - (9 + 6 - 12)}]

⇒ 56 ÷ [(1/3){15 + 12 - (15 - 12)}]

⇒ 56 ÷ [(1/3){15 + 12 - 3}]

⇒ 56 ÷ [(1/3){27 - 3}]

⇒ 56 ÷ [(1/3)(24)]

⇒ 56 ÷ 8

⇒ 7 

∴ ? = 7

Important Points

If in any simplification problem there is (  ̅  ) bar sign above any operation then we should perform the operation at the beginning, whatever the operation is. Then we will follow the chart given above. 

1132.757 – 2315.996 – 1753.829 + 2 × 2846.639

= 1133 – 2316 – 1754 + 5694

= (1133 + 5694) – (2316 + 1754 )

= 6827 – 4070

= 2757