Approx Value MCQ Quiz - Objective Question with Answer for Approx Value - Download Free PDF

Given:

12.21 + 0.69 - √99.90 + (5.90 - 3.90) = x

Formula Used:

Approximation of numbers to the nearest integer for calculation.

Calculations:

⇒ 12.21 ≈ 12

⇒ 0.69 ≈ 1

⇒ √99.90 ≈ √100 = 10

⇒ (5.90 - 3.90) = 2.00 ≈ 2

Substituting approximate values into the equation:

⇒ x = 12 + 1 - 10 + 2

⇒ x = 13 - 10 + 2

⇒ x = 3 + 2 = 5

Hence, the correct answer is "Option 4".

Given:

3.99 + ³√1330.89 - √224.89 = x

Calculations:

⇒ 3.99 ≈ 4

⇒ ³√1330.89 ≈ ³√1331 = 11 (Since 11 × 11 × 11 = 1331)

⇒ √224.89 ≈ √225 = 15 (Since 15 × 15 = 225)

Now,

⇒ x = 4 + 11 - 15

⇒ x = 15 - 15

⇒ x = 0

Hence, the correct answer is "Option 2".

Calculation:

345.5 + 125 + 112 - 34 = ?

First, add the numbers on the left side:

345.5 + 125 = 470.5

470.5 + 112 = 582.5

Now, subtract 34:

582.5 - 34 = 548.5

∴ The value of '?' is 548.5.

Calculation:

\( (?)^3 + 600 = 725 \)

First, subtract 600 from both sides to isolate the cube term:

\( (?)^3 = 725 - 600 \)

\( (?)^3 = 125 \)

Now, take the cube root of both sides to solve for '?':

\( ? = \sqrt[3]{125} \)

\( ? = 5 \)

∴ The value of '?' is 5.

Calculation:

12.5 + 155.5 + 120 - 130 = 125 + ?

First, simplify the left side:

12.5 + 155.5 = 168

168 + 120 = 288

288 - 130 = 158

Now, the equation becomes:

158 = 125 + ?

Subtract 125 from both sides:

? = 158 - 125

? = 33

∴ The value of '?' is 33.

Concebt used

a.b̅ = a.bbbbbb

a.0b̅ = a.0bbbb

Calculation

0.7 = 0.700000 ̇....

\(0.\bar7 = 0.77777 \ldots\)

\(0.0\bar7 = 0.077777 \ldots\)

\(0.\overline {07} = 0.070707 \ldots\)

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

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

Step-2: Any mathematical 'Of' or 'Exponent' must be solved next,

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

59.89% of 4500 + 39.96% of 6500 – 79.87% of 5500 = ?

⇒ 60% of 4500 + 40% of 6500 – 80% of 5500 = ?

⇒ 2700 + 2600 – 4400 = ?

⇒ 5300 – 4400 = ?

⇒ ? = 900

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

Step-1: Parts of an equation enclosed in ‘Brackets’ must be solved first.

Step-2: Any mathematical ‘Of’ or ‘Exponent’ must be solved next.

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.

Given expression:

√1444.03 × √2499.99 ÷ 19.08 = ?

⇒ (√1444 × √2500) ÷ 19 = ?

⇒ (38 × 50) ÷ 19 = ?

⇒ ? = 100  

Concept used:

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

Calculations:

47.897% of 6578 + 48.367% of 4007 = ?

⇒ 48% × 6578 + 48% × 4007 = ?

⇒ 48% × (10,585) = ?

⇒ ? = 508080/100 = 5080.8 ≈ 5080

∴ The value of ? is 5080.

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

Step-1: Parts of an equation enclosed in ‘Brackets’ must be solved first.

Step-2: Any mathematical ‘Of’ or ‘Exponent’ must be solved next.

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.

Given expression:

2.448 + 88 × 0.6 ÷ 14.2

⇒ 2.5 + 88 × 0.6 ÷ 14

⇒ 2.5 + 88 × 0.042

⇒ 2.5 + 3.696

⇒ 6.196 ≈ 6

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

Step-1: Parts of an equation enclosed in ‘Brackets’ must be solved first.

Step-2: Any mathematical ‘Of’ or ‘Exponent’ must be solved next.

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.

Given expression:

(5² × 7 + 72.5) × 0.5 = 999 ÷ ?

⇒ (25 × 7 + 72.5) × 0.5 = 999 ÷ ?

⇒ (175 + 72.5) × 0.5 = 999 ÷ ?

⇒ (175 + 72.5) × 0.5 = 999 ÷ ?

⇒ 247.5 × 0.5 = 999 ÷ ?

⇒ 123.75 = 999 ÷ ?

⇒ ? = 999 ÷ 123.75

Formula used:

(a +b)² = a² + b² + 2ab

Calculation:

\(\sqrt{4-\sqrt{7}+\sqrt{19+2 \sqrt{84}}} \)

⇒ \(\sqrt{4-\sqrt{7}+\sqrt{12+7+2 \sqrt{84}}} \)

⇒ \(\sqrt{4-\sqrt{7}+\sqrt{(\sqrt12)^2+(\sqrt7)^2+2 \sqrt{12} \sqrt{7}}} \)

⇒ \(\sqrt{4-\sqrt{7}+\sqrt{(\sqrt12+\sqrt7)^2}} \)

⇒ \(\sqrt{4-\sqrt{7}+\sqrt12+\sqrt7} \)

⇒ \(\sqrt{4+\sqrt12} \)

⇒ \(\sqrt{1+3+\sqrt12} \)

⇒ \(\sqrt{1+3+2\sqrt3} \)

⇒ \(\sqrt{(1)^2+(\sqrt3)^2+2\times1\times\sqrt3} \)

⇒ \(\sqrt{(1+\sqrt3)^2} \) = \(1+\sqrt{3} \)

∴ The correct answer is option (1).

Concept used:

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

Calculations:

[(15.8 × 2.87) ÷ 3.984 – 1.230 ÷ 1.265] = ? × 1/2

After approximation:

(16 × 3) ÷ 4 - 1 ÷ 1 = ? × 1/2

⇒ [48 ÷ 4 – 1] = ? × 1/2

⇒ [12 - 1] × 2 = ?

⇒ 11 × 2 = ?

⇒ ? = 22

∴ The value of ? is 22.

Approximating the numbers in the above expression:

⇒ (1800 + √? × 30) ÷ 15 = 144

⇒ 1800 + √? × 30 = 144 × 15 = 2160

⇒ √? × 30 = 2160 – 1800 = 360

⇒ √? = 360/30 = 12

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

Step-1: Parts of an equation enclosed in ‘Brackets’ must be solved first.

Step-2: Any mathematical ‘Of’ or ‘Exponent’ must be solved next.

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.

Given expression:

405.03 ÷ 9.08 × 14.94 = ?

⇒ 405 ÷ 9 × 15 = ?

⇒ 45 × 15 = ?

⇒ ? = 675