 # Simplification and Approximation Question and Answer PDF with Solution  Directions: What approximate value come in place of question mark (?) in the given following question?
Important for :
1
(25.16 × 16.01) ÷ (12 × 18.94) + 24.10 + √37 × √2.26 = ?
» Explain it
B
(25.16 × 16.01) ÷ (12 × 18.94) + 24.10 + √37 × √2.26 = ?

? ≈ (25 × 16) ÷ (12 × 19) + 24 + √36 × √2.25

 = 25 × 16 + 24 + 6 × 1.5 = ? 12 × 19

 = 400 + 24 + 9 = ? 228

1.75 + 33 = ?

? = 34.75 ≈ 35

Hence, option B is correct.

2
(√2501)% of 500 – ?2 – (√2027)% of 215.32 = 50 – 15.34
» Explain it
A
(√2501)% of 500 – ?2 – (√2027)% of 215.32 = 50 – 15.34

≈ (√2500)% of 500 – ?2 – (√2025)% of 215 = 50 – 15

= 50% of 500 – ?2 – 45% of 215 = 50 – 15

= 250 – ?2 – 97 = 35

?2 = 250 – 35 – 97

?2 = 118 ≈ 121

? = 11

Hence, option A is correct

3
√(2602) ÷ 16.99 + √(1225.20) × 5.01 ÷ 24.99 = ?2 – 88.89
» Explain it
D
√(2602) ÷ 16.99 + √(1225.20) × 5.01 ÷ 24.99 = ?2 – 88.89

≈ √(2601) ÷ 17 + √(1225) × 5 ÷ 25 = ?2 – 89

= 51 ÷ 17 + 35 ÷ 5 = ?2 – 89

= 3 + 7 + 89 = ?2

= ?2 = 99 ≈ 100

? = 10

Hence, option D is correct.

4
(95.012 – 68.022) ÷ 26.99 × √? = 7987
» Explain it
D
Approximating the numbers in the above expression:

⇒ (952 – 682) ÷ 27 × √? = 7987

⇒ [(95 + 68) × (95 – 68)] ÷ 27 × √? = 7987

⇒ (163 × 27) ÷ 27 × √? = 7987

⇒ 163 × √? = 7987

 ⇒ √? = 7987 = 49 163

∴ ? = 492 = 2401

Hence, option D is correct.

5
43.97% of 550 + 23.99% of 250 – 33.94% of 350 = ?% of 60
» Explain it
B
43.97% of 550 + 23.99% of 250 – 33.94% of 350 = ?% of 60

Approximating the numbers in the above expression:

⇒ 44% of 550 + 24% of 250 – 34% of 350 = ?% of 60

⇒ 242 + 60 – 119 = ?% of 60

⇒ 183 = ?% of 60

∴ ? = 305

Hence, option B is correct.

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