Free Simplification & Approximation Practice Questions & Tips

Consider this example:

Find the value of the given expression:

21.5 of 12 ÷ 23 – 184 + 15 × 12 – (19.25 × 16)

Solution:

Step 1: First, we solve the expression within the brackets.

So, 21.5 of 12 ÷ 23 – 184 + 15 × 12 – (19.25 × 16) = 21.5 of 12 ÷ 23 – 184 + 15 × 12 – 308

Step 2: Next, we calculate the power if any, and terms which are linked by the word “of”

So, 21.5 of 12 ÷ 23 – 184 + 15 × 12 – 308 = 258 ÷ 8 – 184 + 15 × 12 – 308

Step 3: We calculate the division operations

258 ÷ 8 – 184 + 15 × 12 – 308 = 32.25 – 184 + 15 × 12 – 308

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Step 4: We calculate the multiplication operations

32.25 – 184 + 15 × 12 – 308 = 32.25 – 184 + 180 – 308

Step 5: We calculate the addition operations

32.25 – 184 + 180 – 308 = 212.25 – 184 – 308

Step 6: At last, we calculate the subtraction operations

212.25 – 184 – 308 = -279.75

Free Simplification & Approximation Practice Questions & Tips

Question 1: What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)

? = 769.98 + 41.8% of (59.95 ×70.12)

A) 2272

B) 2534

C) 2398

D) 2742

E) 2136

Question 2: What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)

?2 = (16.022/2.99√4100) + 84.07

A) 205

B) 10

C) 0

D) 100

E) 827

Question 3: What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)

49.98% of 799.98 =? × 9.98 – (29.98% of 499.98)

A) 5

B) 250

C) 55

D) 160

E) 25

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Question 4: What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)

? – 299.98% of 24.98 + (4.98)2 = (5.99)2

A) 197

B) 86

C) 15

D) 4

E) 253

Question 5: What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)

149.98% of 449.99 = ?2 – (14.98)2

A) 115

B) 202

C) 15

D) 30

E) 135

Question 6: What approximate value will come in place of the question mark (?) in the following question?(Note: You are not expected to calculate the exact value.)

40.09% of 840.02 + 502.96 – 24.09 × 13.98 = ?

A) 503

B) 412

C) 594

D) 313

E) 712

Question 7: What approximate value will come in place of the question mark (?) in the following question?(Note: You are not expected to calculate the exact value.)

654.08 + 18.13 × 15.11 – 363.91 ÷ 13.89 = ?

A) 239

B) 684

C) 898

D) 526

E) 345

Question 8: What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)

564.08 + 933.13 – 845.91 + 634.21 – 302.98 = ?

A) 526

B) 718

C) 842

D) 501

E) 982

Question 9: What approximate value will come in place of the question mark (?) in the following question?(Note: You are not expected to calculate the exact value.)

31.67 × ? + 22.122 = 174.75% of 240.03 + 56.09 × 7.99

A) 12

B) 44

C) 96

D) 150

E) 1

Question 10: What approximate value will come in place of the question mark (?) in the following question?(Note: You are not expected to calculate the exact value.)

?2 = (540.09 × 179.98) ÷ (24.082 – 11.782) + 16.05% of 2500.01

A) 75

B) 52

C) 8

D) 25

E) 38

प्रश्न 1: दिए गए प्रश्न में प्रश्न चिन्ह (?) के स्थान पर क्या अनुमानित मूल्य आएगा?(नोट : आपको सटीक मान की गणना करने की जरुरत नहीं है|)

? = 769.98 + 41.8% of (59.95 ×70.12)

A) 2272

B) 2534

C) 2398

D) 2742

E) 2136

प्रश्न 2: दिए गए प्रश्न में प्रश्न चिन्ह (?) के स्थान पर क्या अनुमानित मूल्य आएगा?(नोट : आपको सटीक मान की गणना करने की जरुरत नहीं है|)

?2 = (16.022/2.99√4100) + 84.07

A) 205

B) 10

C) 0

D) 100

E) 827

प्रश्न 3: निम्नलिखित प्रश्न में प्रश्न चिह्न (?) के स्थान पर अनुमानित मूल्य क्या होगा? (नोट: आपको सटीक मान की गणना करने की जरुरत नहीं है।)

49.98% of 799.98 =? × 9.98 – (29.98% of 499.98)

A) 5

B) 250

C) 55

D) 160

E) 25

प्रश्न 4: निम्नलिखित प्रश्न में प्रश्न चिह्न (?) के स्थान पर अनुमानित मूल्य क्या होगा? (नोट: आपको सटीक मान की गणना करने की जरुरत नहीं है।)

? – 299.98% of 24.98 + (4.98)2 = (5.99)2

A) 197

B) 86

C) 15

D) 4

E) 253

प्रश्न 5: निम्नलिखित प्रश्न में प्रश्न चिह्न (?) के स्थान पर अनुमानित मूल्य क्या होगा? (नोट: आपको सटीक मान की गणना करने की जरुरत नहीं है।)

149.98% of 449.99 = ?2 – (14.98)2

A) 115

B) 202

C) 15

D) 30

E) 135

प्रश्न 6: निम्नलिखित प्रश्न में प्रश्न चिह्न (?) के स्थान पर क्या अनुमानित मान आएगा? (नोट: आपको सटीक मान की गणना करने की आवश्यकता नहीं है।)

40.09% of 840.02 + 502.96 – 24.09 × 13.98 = ?

A) 503

B) 412

C) 594

D) 313

E) 712

प्रश्न 7: निम्नलिखित प्रश्न में प्रश्न चिह्न (?) के स्थान पर क्या अनुमानित मान आएगा? (नोट: आपको सटीक मान की गणना करने की आवश्यकता नहीं है।)

654.08 + 18.13 × 15.11 – 363.91 ÷ 13.89 = ?

A) 239

B) 684

C) 898

D) 526

E) 345

प्रश्न 8: निम्नलिखित प्रश्न में प्रश्न चिह्न (?) के स्थान पर क्या अनुमानित मान आएगा? (नोट: आपको सटीक मान की गणना करने की आवश्यकता नहीं है।)

564.08 + 933.13 – 845.91 + 634.21 – 302.98 = ?

A) 526

B) 718

C) 842

D) 501

E) 982

प्रश्न 9: निम्नलिखित प्रश्न में प्रश्न चिह्न (?) के स्थान पर क्या अनुमानित मूल्य आएगा? (नोट: आपको सटीक मान की गणना करने की उम्मीद नहीं है।)

31.67 × ? + 22.122 = 174.75% of 240.03 + 56.09 × 7.99

A) 12

B) 44

C) 96

D) 150

E) 1

प्रश्न 10: निम्नलिखित प्रश्न में प्रश्न चिह्न (?) के स्थान पर क्या अनुमानित मूल्य आएगा? (नोट: आपको सटीक मान की गणना करने की उम्मीद नहीं है।)

?2 = (540.09 × 179.98) ÷ (24.082 – 11.782) + 16.05% of 2500.01

A) 75

B) 52

C) 8

D) 25

E) 38

ANSWER KEYS and SOLUTIONS:

Solution 1: B)

? = 769.98 + 41.8% of (59.95 ×70.12)

? ~ 770 + 42% of (60 × 70)

? ~ 770 + 0.42 × 4200

? ~ 770 + 1764

? ~ 2534

Hence, option b.

Solution 2: B)

?2 = (16.022/2.99√4100) + 84.07

?2 ~ (162/3√4096) + 84

?2 ~ (162/ 16) + 84

?2 ~ 100

? ~ 10

Hence, option b.

Solution 3: C)

49.98% of 799.98 = ? × 9.98 – (29.98% of 499.98)

? × 10 – 30% × 500) ~ 50% × 800

? × 10 – 150 ~ 400

? × 10 – 400 + 150

? × 10 ~ 550

? ~ 55

Hence, option c.

Solution 4: B)

? – 299.98% of 24.98 + (4.98)2 = (5.99)2

? – 300% × 25 ~ (6)2 – (5)2

? – 75 ~ (6 + 5) (6 – 5)

? ~ 75 + 11

? ~ 86

Hence, option b.

Solution 5: D)

149.98% of 449.99 = ?2 – (14.98)2

150% × 450 ~ ?2 – (15)2

?2 – 225 ~ 675

?2 ~ 675 + 225

?2 ~ 900

? ~ √900

? ~ 30

Hence, option d.

Solution 6: A)

40.09% of 840.02 + 502.96 – 24.09 × 13.98 = ?

40% of 840 + 503 – 24 × 14 ~ ?

336 + 503 – 336 ~ ?

503 ~ ?

Hence, option a.

Solution 7: C)

654.08 + 18.13 × 15.11 – 363.91 ÷ 13.89 = ?

654 + 18 × 15 – 364 ÷ 14 ~ ?

654 + 270 – 26 ~ ?

898 ~ ?

Hence, option c.

Solution 8: E)

564.08 + 933.13 – 845.91 + 634.21 – 302.98 = ?

564 + 933 – 846 + 634 – 303 ~ ?

982 ~ ?

Hence, option e.

Solution 9: A)

31.67 × ? + 22.122 = 174.75% of 240.03 + 56.09 × 7.99

32 × ? + 222 ~ 175% of 240 + 56 × 8

32 × ? ~ 1.75 × 240 + 448 – 484

32 × ? ~ 868 – 484

? ~ 384/32 ~ 12

Hence, option a.

Solution 10: D)

?2 = (540.09 × 179.98) ÷ (24.082 – 11.782) + 16.05% of 2500.01

?2 ~ (540 × 180) ÷ (242 – 122) + 16% of 2500

?2 ~ (540 × 180) ÷ (36 × 12) + 0.16 × 2500

?2 ~ 225 + 400

?2 ~ 625

? ~ 25

Hence, option d.

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