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FOLLOW 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, and in the bracket, the BODMAS rule must be FOLLOWED,

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.

Now, given expression:

⇒ 77.59 – 41.55 + 79.73 = ? + 62.42

⇒ ? = 77.59 - 41.55 + 79.73 - 62.42

⇒ ? = 77.59 + 79.73 - 41.55 - 62.42

√? + 36.09% of 350 - 15.998 × 22.015 = -(14)²

Approximating the values to the NEAREST integer & replacing '?' by 'x'.

⇒ √x+ (36/100) × 350 - 16 × 22 = -196

⇒ √x + 126 – 352 = -196 

⇒ √x = -196 - 126 + 352 

⇒ √x = 30 

⇒ x = 30² 

⇒ x = 900

Follow 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, 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.

Given expression is,

9 ÷ 16 + 8.2 × 0.75 - {0.2 - (1 - ?)} = 0.0875

⇒ 9 ÷ 16 + 8.2 × 0.75 - {? - 0.8} = 0.0875

⇒ 0.5625 + 8.2 × 0.75 - {? - 0.8} = 0.0875

⇒ 0.5625 + 6.15 - {? - 0.8} = 0.0875

⇒ 6.7125 - ? + 0.8 = 0.0875

⇒ 7.5125 - ? = 0.0875

⇒ 7.5125 - 0.0875 = ?

USING the BODMAS rule,

B – Bracket in order (), {}, []

O – of

D – Division

M – Multiplication

A – Addition

S - Subtraction

(4 × 6 – 18 ÷ 3) × [192 ÷ {(5 + 3) × 4} – 2]

(24 – 6) × [192 ÷ {8 × 4} – 2]

⇒ 18 × [192 ÷ 32 – 2]

⇒ 18 × [6 – 2]

⇒ 18 × 4

(269.88 ÷ 29.11 × 512 ÷ 31.75)^0.5

Approximating VALUES to the CLOSEST INTEGERS and solving

= (270 ÷ 30 × 512 ÷ 32)^0.5

⇒ (9 × 16)^0.5 = 3 × 4

Approximating the values to the NEAREST integer:

65.40 ≈ 65, 2.10 ≈ 2 and 64.33 ≈ 64

35.10 ≈ 35, 5.98 ≈ 6

⇒ (65.40 × 2.10) + 64.33% of 900 = 35.10 × ? + 5.98

⇒ (65 × 2) + 64% of 900 = 35 × ? + 6

⇒ 130 + (64/100) × 900 = 35 × ? + 6

⇒ 130 + 64 × 9 = 35 × ? + 6

⇒ 130 + 576 = 35 × ? + 6

⇒ 706 = 35 × ? + 6

⇒ ? × 35 = 700

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

Step - 1 - Parts of an equation ENCLOSED in the ‘BRACKETS’ MUST be solved first

Step - 2 - Any mathematical ‘OF’ or ‘EXPONEMTS’ must be solved next

Step - 3 - Next the part of the equation that contains ‘DIVISION; and ‘MULTIPLICATION’ are calculated

Step - 4 - Last but not LEAST, the parts of the equation that contains ‘ADDITION’ and ‘SUBTRACTION’ should be calculated

Now, the given expression:

⇒ $(2\frac{1}{9} \times 2\frac{2}{{19}} \DIV 6\frac{2}{3} = ? -1\frac{1}{2})$

⇒ $(\frac{{19}}{9} \times \frac{{40}}{{19}} \div \frac{{20}}{3} = ? -\frac{3}{2})$

⇒ $(\frac{{19}}{9} \times \frac{{40}}{{19}} \times \frac{3}{{20}} = ? -\frac{3}{2})$

⇒ $(\frac{2}{3} = ? - \frac{3}{2})$

⇒ $(\frac{2}{3} + \frac{3}{2} = ?)$

⇒ $(? = \frac{{13}}{6} = 2\frac{1}{6})$

Follow these BODMAS rules to solve the question

Step-1? The PART of the EQUATION containing '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 solved

Step-4? At last, the part of the equation that contains 'Addition' and 'Subtraction' should be solved.

⇒ [(140)² ÷ 35 × 32] ÷ 8 = 7 × ?

⇒ (140 × 140 × 32) / (35 × 8) = 7 × ?

⇒ 16 × 140 = 7 × ?

⇒ ? = (16 × 140)/7

The GIVEN EQUATION is,

?/8 = 1.25

⇒ ? = 8 × 1.25

⇒ ? = 8 × (125/100)

⇒ ? = 8 × (5/4)

⇒ ? = 10

According to the BODMAS rule, the PRIORITY in which the operations should be done is:

⇒ (45.102)² + (20.101)² = (?)² + (6.007)³

Approximating the value to the nearest INTEGER:

⇒ (45)² + (20)² = (?)² + (6)³ 

⇒ 2025 + 400 = (?)² + 216 

⇒ 2425 = (?)² + 216 

(?)² = 2209 

(?) = 47

FOLLOW 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, and in the bracket, the BODMAS rule must be FOLLOWED,

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 is,

 ? ÷ 34 × 21 = 6825

⇒ ? ÷ 34 = 6825 ÷ 21

⇒ ? ÷ 34 = 325

⇒ ? = 325 × 34 = 11050

? = 24.003 × 7.96/8.05 × (4.98)² × 3.997/9.997 × (4.18 ÷ 6.007)

REWRITING given QUESTION;

? = 24 × 8/8 × (5)² × 4/10 × (4.2 ÷ 6)

⇒ ? = 24 × 1 × 25 × 4/10 × (0.7)

⇒ ? = 24 × 7 = 168

∴ ? = 168

GIVEN expression:

(16)^8.5 × (64)^7.5 ÷ (256)^-3 = 16^?

⇒ (2)³⁴ ×(2)⁴⁵ ÷ (2)^-24 = 2^4?

⇒ (2)^{34 + 45} ÷ (2)^-24 = 2^4?

⇒ (2)^{79 - (-24)} = 2^4?

⇒ (2)¹⁰³ = 2^4?

⇒ 4 × ? = 103

According to the BODMAS rule, the priority in which the operations should be done is:

⇒ 21.003 × 39.998 – 209.91 = 126 × (?)

APPROXIMATING the values to the nearest integer:

⇒ 21 × 40 – 210 = 126 × (?)

⇒ 840 - 210 = 126 × (?) 

(?) = 630/126

617 + 6.0117 + 0.6117 + 6.00117 = ?

⇒ ? = 629.62457 ≈ 630

Given EXPRESSION is,

⇒ 13.50 × 1.90 + 29.98 = 114.85 - 37.80 - ?

We can write the given values as:

⇒ 1.90 ≈ 2 and 29.98 ≈ 30

⇒ 114.85 ≈ 115 and 37.80 ≈ 38

Then,

⇒ 13.5 × 2 + 30 = 115 - 38 - ?

⇒ 27 + 30 = 115 - 38 - ?

⇒ 57 = 115 - 38 - ?

⇒ 57 = 77 - ?

⇒ ? = 77 - 57

Follow 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, 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.

Given expression is,

(1472.2 ÷ 23.13)^1/3 + (71.8 × 2.05)^1/2 = (?)^1/2

Taking the approximate values,

1472.2 ≈ 1472, 23.13 ≈ 23, 71.8 ≈ 72, 2.05 ≈ 2

⇒ (1472 ÷ 23)^1/3 + (72 × 2)^1/2 = (?)^1/2

⇒ (64)^1/3 + (144)^1/2 = (?)^1/2

⇒ 4 + 12 = (?)²

Follow 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, 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.

Given expression is,

(8536 – √2209) × 0.3 = ?

⇒ ? = (8536 – 47) × 0.3

⇒ ? = (8489) × 0.3

FOLLOW 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.

Now, the given expression,

19.25 × 16.4 × ? = 3472.7 × 2

√2304 – 24% of 15 × 1.75 – 3³ = ?

⇒ √(48)² – [(24/100) × 15] × 1.75 - 27 = ?

⇒ 48 – (3.6 × 1.75) – 27 = ?

⇒ 48 – (6.3 + 27) = ?

⇒ 48 – 33.3 = ?

∴ ? = 14.7

17.977 × 5.123 - 10.02 + 55.999 - 18.2111 ÷ 6.0007

Using BODMAS rule,

⇒ 18 × 5 - 10 + 56 - 18 ÷ 6

Solving it using Approx value,

⇒ 18 × 5 - 10 + 56 - 3, (Simplifying DIVISION ‘18 ÷ 6’)

⇒ 90 - 10 + 56 - 3, (Simplifying MULTIPLICATION ‘18 × 5’)

⇒ 146 - 13, (Simplifying addition)

⇒ 133

⇒ 75% of (15% of 900) – 25% of (35% of 500) = ?

$(\begin{array}{l} \Rightarrow ?\; = \;75\% \;of\;\left( {\FRAC{{15}}{{100}}\; \times \;900} \RIGHT) - 25\% \;of\;\left( {\frac{{35}}{{100}}\; \times \;500} \right)\\ \Rightarrow ?\; = \;\left( {\frac{{75}}{{100}}\; \times \;135} \right) - \left( {\frac{{25}}{{100}}\; \times \;175} \right) \end{array})$

⇒ ? = 101.25 – 43.75

$(\begin{ARRAY}{L} \left( {\FRAC{1}{{15}} + 1 - \frac{9}{{10}}} \right) \div \left( {\frac{4}{5}\;of\;\frac{3}{2}} \right)\\ = \left( {\frac{1}{{15}} + 1 - \frac{9}{{10}}} \right) \div \left( {\frac{4}{5} \TIMES \frac{3}{2}} \right)\\ = \left( {\frac{1}{{15}} + 1 - \frac{9}{{10}}} \right) \div \frac{6}{5}\\ = \frac{{2 + 30 - 9 \times 3}}{{30}} \div \frac{6}{5}\\ = \frac{5}{{30}} \div \frac{6}{5}\\ = \frac{5}{{30}} \times \frac{5}{6} \end{array})$

= 5/36

In this TYPE of question, we are expected to calculate APPROXIMATE value (not exact value), so we can replace the given numbers by their nearest PERFECT places which makes the calculation easy.

Now, the given expression:

1205 ÷ 2.5 = 482 ≈ 480

GIVEN expression,

4.8% of 250 + 1105 ÷ 13 - ? = 23

$(\Rightarrow \frac{{4.8}}{{100}} \times 250 + 85 - ? = 23)$

⇒ 12 + 85 - ? = 23

⇒ 97 – 23 = ?

GIVEN expression:

45316 + 52131 – 65229 =? + 15151

⇒ ? + 15151 = 45316 + 52131 – 65229

⇒ ? + 15151 = 32218

⇒ ? = 32218 - 15151

⇒ ? = 17067

SOLVE the given question, using FOLLOWING LAWS of indices,

Laws of Indices,

1-: a^m × aⁿ = a^{{m + n}}

2-: a^m ÷ aⁿ = a^{{m - n}}

3-: [(a^m)ⁿ] = a^mn

4-: (a)^1/m = $(\sqrt[m]{a})$

5-: (a)^-m = 1/a^m

6-: (a)^(m/n) = $(\sqrt[n]{{{a^m}}})$

7-: a⁰ = 1

⇒ (5 - 7)² × (6 - 9)² ÷ (2³)^-2 = ?

⇒ ? = (-2)² × (-3)² ÷ (2)^-6

⇒ ? = 4 × 9 × 64

According to BODMAS rule,

⇒ 3 × 63 + (74/2) - 11 = ?

⇒ 3 × 63 + 37 - 11 = ?

⇒ 189 + 37 - 11 = ?

⇒ 226 - 11 = ?

⇒ ? = 215

Hence, 215 will be the answer.

8787 ÷ 77 × 92 = ? × 14

⇒ (8787/77) × 92 = ? × 14

⇒ ? ≈ (8787 × 92)/(77 × 14)

⇒ ? ≈ 750

⇒ 353 - 2³ = 345

⇒ 345 - 3³ = 318

⇒ 318 - 4³ = 254

⇒ 254 - 5³ = ? = 129

Follow 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.

Now, the given EXPRESSION,

√529 ÷ 46 × 6.4 + (8)³ – 252 = ?

⇒ 23 ÷ 46 × 6.4 + (8)³ – 252 = ?

⇒ ? = 3.2 + 512 – 252

⇒ ? = 263.2

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,

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

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

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

Now, the given expression,

4 × ? = 4062 ÷ 5

⇒ 4 × ? = 4062 ÷ 5

⇒ 4 × ? = 812.4

⇒ ? = 812.4/4

⇒ ? = 203.1

The given equation is:

6 + 36 (2.3 – 1/2) ÷ 6 - 2 + 0.5

By applying BODMAS rule,

(In BODMAS rule, B stands for BRACKETS, O stands for ORDERS or powers, D stands for Division, M stands for MULTIPLICATION, A stands for Addition, S stands for Subtraction. For simplification, when we use BODMAS rule, firstly open the bracket, then resolve order, after then division, multiplication, addition and then subtraction.)

= 6 + 36 (23-5/10) ÷ 6 - 2 + 0.5

= 6 + 36 × 18/10 ÷ 6 – 2 + 0.5

= 6 + 36 × 9/5 × 1/6 – 2 + 0.5

= 6 + 54/5 – 2 + 0.5

= 6 + 10.8 – 2 + 0.5

Since, we NEED to find out the APPROXIMATE VALUE,

So, we can write these VALUES to their nearest integers.

Given expression is

(459.04 ÷ 21.01) × 8.99 = ?

⇒ ? ≈ (459 ÷ 21) × 9

⇒ ? ≈ (21.85) × 9

⇒ ? ≈ 22 × 9

⇒ ? = 198

Follow 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, 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: Finally, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

⇒ 12 × 117 ÷ 9 + 206 = 20 + ? × 4

⇒ 12 × 13 + 206 = 20 + ? × 4

⇒ 156 + 206 = 20 + ? × 4

⇒ 362 = 20 + ? × 4

⇒ 362 – 20 = ? × 4

⇒ 342 ÷ 4= ?

∴ ? = 85.5

Follow 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, 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: Finally, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

4 × 6 + 2 – 6/2 = ?

⇒ ? = 24 + 2 – 6/2

⇒ ? = 26 – 3

∴ ? = 23

⇒ 10.9 × (180 ÷ 9) + 12 × (11 - 6) = ? × 2

⇒ 10.9 × 20 + 12 × 5 = ? × 2

⇒ 2 × ? = 218 + 60

⇒ ? = 278/2

⇒ ? = 139

√5476 × 27 + 199 = ?³

⇒ √(74)² × 27 + 199 = ?³

⇒ (74 × 27) + 199 = ?³

⇒ 1998 + 199 = ?³

⇒ ?³ = 2197

⇒ ?³ = 13³

∴ ? = 13

The GIVEN expression:

9358 – 569 + 713 = 1390 +?

⇒ 8789 + 713 = 1390 + ?

⇒ 9502 = 1390 + ?

Given expression is,

⇒ (√1700 + 22.88) ÷ 7.89 = 8.01 × ?

We can write the given values as:

⇒ (√1700) = √(1681 + 19) = √[(41)² + 19]

⇒ (√1700) ≈ 41

⇒ (√1700 + 22.88) ÷ 7.89 = 8.01 × ?

⇒ (41 + 23) ÷ 8 = 8 × ?

⇒ 64 ÷ 8 = 8 × ?

⇒ 8 = 8 × ?

⇒ ? = 8/8 = 1

25.05% of 2843.94 + 14.984% of 2399.987 = ?

APPROXIMATING the VALUE to the nearest integer:

25% × 2844 + 15% × 2400 = ? 

(25/100) × 2844 + (15/100) × 2400 = ? 

711 + 360 = ? 

? = 1071

√97344 = ? – 254

⇒ ? = 312 + 254

Follow 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, 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.

Given expression is,

⇒ 192.94 + 250.01 - 81.88 = 77.44 + ?

⇒ 442.95 – 81.88 = 77.44 + ?

⇒ 361.07 = 77.44 + ?

⇒ ? = 361.07 – 77.44

∴ ? = 283.63

Given expression is,

(43.19 × 10.19) ÷ 5.20 = 37.40 × 1.94 + ?

We can write the given values as:

43.19 ≈ 43 and 10.19 ≈ 10

5.20 ≈ 5 and 37.40 ≈ 37 and 1.94 ≈ 2

Then,

⇒ (43 × 10) ÷ 5 = 37 × 2 + ?

⇒ 430 ÷ 5 = 37 × 2 + ?

⇒ 86 = 37 × 2 + ?

⇒ 86 = 74 + ?

⇒ ? = 86 - 74

5/3 + 2/8 - ? × 8/2 = 4/5

⇒ ? × 8/2 = 5/3 + 2/8 - 4/5

⇒ ? × 4 = (5 × 8)/(3 × 8) + (2 × 3)/(8 × 3) - 4/5

⇒ ? × 4 = (40 + 6)/24 - 4/5

⇒ ? × 4 = (46 × 5)/(24 × 5) - (4 × 24)/(5 × 24)

⇒ ? × 4 = (230 - 96)/120

⇒ ? = 134/120 × ¼

Follow 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, 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.

Given expression is,

⇒ {(3654 + 1346) × 2} ÷ 200 = ?

⇒ {(5000) × 2} ÷ 200 = ?

⇒ ? = 10000 ÷ 200

⇒ ? = 50

Given expression is,

331.80 ÷ 3.80 + 47.80 = 41.17% of 400 - ?

We can WRITE the given values as:

331.80 ≈ 332 and 3.80 ≈ 4

47.80 ≈ 48 and 41.17 ≈ 41

Then,

⇒ 332 ÷ 4 + 48 = 41% of 400 - ?

⇒ 332 ÷ 4 + 48 = (41/100) × 400 - ?

⇒ 83 + 48 = (41 × 4) - ?

⇒ 83 + 48 = 164 - ?

⇒ 131 = 164 - ?

⇒ ? = 164 - 131

Follow BODMAS rules to solve the EQUATION

Step -1: The part of the equation containing '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 solved

Step -4: At last, the part of the equation that CONTAINS 'Addition' and 'Subtraction' should be solved.

⇒ 2112 + 692 × 2 – 1111 × 5 + 7324 × 8 = ?

⇒ 2112 + 1384 – 5555 + 58592 = ?

⇒ ? = 62088 – 5555 = 56533

∴ ? = 56533.

The GIVEN expression:

12.25 × ? × 21.6 = 3545.64

⇒ ? × 264.6 = 3545.64

⇒ ? = 3545.64/264.6

⇒ ? = 13.4 ≈ 13

Follow 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.

Now, the given expression,

276 × 25 – 5 × 20 = ?

⇒? = 6900 – 100

⇒ ? = 6800

None of the OPTIONS match.