 # Approximation and Simplification Quiz with Explanation for SBI PO, IBPS PO, IBPS RRB Scale 1, RRB Office Assistant, LIC AAO, NIACL

Important for :
1
(251.87 × 8 × 6.99) ÷ 25 = 11.986 + ?
» Explain it
D
11.986 + ? = (251.87 × 8 × 6.99) ÷ 25

⇒ 12 + ? ≈ (252 × 8 × 7) ÷ 25

⇒ 12 + ? = (10.08 × 8 × 7)

⇒ 12 + ? ≈ 560

? = 560 – 12 = 548

Hence, option D is correct.
2
 39.99% of ( 256.039 – 62 ) × 38.23 =  ? 2
» Explain it
C
 39.99% of ( 256.039 – 62 ) × 38.23 =  ? 2

 ? = 39.99% of ( 256.039 – 62 ) × 38.23 2

 ≈ 40% of ( 256 – 62 ) × 38 2

⇒ ? = (256 – 31) × 38

⇒ ? = 40% of 225 × 38

⇒ ? = 90 × 38 = 3420

Hence, option C is correct.
3
(37.12)2 + (43.88)2 = (?2 – √2600) × √1297
» Explain it
D
(37.12)2 + (43.88)2 = (?2 – √2600) × √1297

⇒ (37)2 + (44)2  ≈ (?2 – √2601) × √1296

 ?2 – 51 = 372 + 442 = 1369 + 1936 = 3305 = 91.8 36 36 36

⇒ ?2 = 91.8 + 51 = 142.80 ≈ 144

⇒ ? = √144 = 12

Hence, option D is correct.
4
 7241 × 2 4 + 412 ÷ ? = 19377 6
» Explain it
B
In Approximation,

 7241 × 16 + 412 ÷ ? = 19377 6

19309.33 + 412 ÷ ? = 19377

412 ÷ ? = 19377 – 19309 = 68

? = 412 ÷ 68

 ? = 412 = 6.05 = ≈ 6 68
Hence, option B is correct.
5
(?)2 + (125)2 = (250.13)2 – (95.12)2 – 5680
» Explain it
D
(?)2 + (125)2 = (250.13)2 – (95.12)2 – 5680

(?)2 + 15625 = ≈ (250)2 – (95)2 – 5680

(?)2 + 15625 = 62500 – 9025 – 5680

(?)2 + 15625 = 47795

(?)2 = 47795 – 15625 = 32170

? = 179.35

? ≈ 179

Hence, option D is correct.