Sarlikaran question – सरलीकरण के 51 महत्वपूर्ण सवाल

Q51. 7.2 + (8.4 ÷ 0.12 × 0.2) – 5 × 3 ÷ 0.05 + 3 का मान है

= 7.2 + ([84/10] ÷ [12/100] × 0.2) – 5 × 3 ÷ [5/100] + 3

= 7.2 + (84/10 × 100/12 × 0.2) – 5 × 3 ÷ [1/20] + 3

= 7.2 + (14) – 5 × 3 × 20 + 3

= 7.2 + (14) – 300 + 3

= -275.8

Q52. 5.8 + (7.4 ÷ 3.7 × 5) – 6 × 2 ÷ 2.5 का मान है

= 5.8 + (2 × 5) – 6 × (8/10)

= 5.8 + (10) – (24/5)

= 15.8 – 4.8

= 11

Q53. 3.8 + (8.2 ÷ 4.1 × 2) – 4 × 3 ÷ 1.2 का मान है

= 3.8 + (2 × 2) – 4 × [10/4]

= 3.8 + 4 – 10

= 2.2

Q54. 108 ÷ 36 × 4 + 2.5 × 4 ÷ 0.5 – 10 का मान है

= 3 × 4 + 2.5 × 8 – 10

= 12 + 20 – 10

= 22

Q55. 7.5 + (5.4 ÷ 4.5 × 2) – 8 × 4 ÷ 3.2 का मान है

= 7.5 + ([6/5] × 2) – 8 × [10/8]

= 7.5 + [12/5] – 10

= 7.5 + [2.4] – 10

= – 0.1

Q56. 21.6 ÷ 3.6 × 2 + 0.25 × 16 ÷ 4 – 6 बराबर है :

= 6 × 2 + 0.25 × 4 – 6

= 12 + 1 – 6

= 7

Q57. 15.2 + 5.8 ÷ 2.9 × 2 – 3.5 × 2 ÷ 0.5 का मान बराबर है :

= 15.2 + 2 × 2 – 3.5 × 4

= 15.2 + 4 – 14

= 5.2

Q58. 9 \frac{3}{4} ÷ [2 \frac{1}{6} ÷ {4 \frac{1}{3} – (2 \frac{1}{2} + \frac{3}{4} )}]

= \frac{39}{4} ÷ [ \frac{13}{6} ÷ { \frac{13}{3} – ( \frac{5}{2} + \frac{3}{4} )}]

= \frac{39}{4} ÷ [ \frac{13}{6} ÷ { \frac{13}{3} \frac{13}{4} }]

= \frac{39}{4} ÷ [ \frac{13}{6} ÷ { \frac{13}{12} ]

= \frac{39}{4} ÷ \frac{1}{3}

= \frac{117}{4}

Q59. 9 \frac{3}{4} + [2 \frac{1}{6} ÷ {4 \frac{1}{3} - (2 \frac{1}{2} + \frac{3}{4} )}]

= \frac{39}{4} + [ \frac{13}{6} ÷ { \frac{13}{3} – ( \frac{5}{2} + \frac{3}{4} )}]

= \frac{39}{4} + [ \frac{13}{6} ÷ { \frac{13}{3} \frac{13}{4} }]

= \frac{39}{4} + [ \frac{13}{6} ÷ \frac{13}{12} ]

= \frac{39}{4} + 2

= \frac{47}{4}

Q60. [7 + 8 × 8 ÷ 8 का 8 + 8 ÷ 8 × 4 का 4] / [4 ÷ 4 का 4 + 4 × 4 ÷ 4 - 4 ÷ 4 का 2] का मान है

पहला भाग = [7 + 8 × 8 ÷ 8 का 8 + 8 ÷ 8 × 4 का 4]

= [7 + 8 × 8 ÷ 8 × 8 + 8 ÷ 8 × 4 × 4]

= [7 + 8 × 8 ÷ 64 + 8 ÷ 8 × 16]

= [7 + 8 × [1/8] + 1 × 16]

= [7 + 1 + 1 × 16]

= 24

दूसरा भाग = [4 ÷ 4 का 4 + 4 × 4 ÷ 4 - 4 ÷ 4 का 2]

= [4 ÷ 4 × 4 + 4 × 4 ÷ 4 - 4 ÷ 4 × 2]

= [4 ÷ 16 + 4 × 1 - 4 ÷ 8]

= [1/4 + 4 × 1 - 1/2]

= [1/4 + 4 - 1/2]

= 7/2

[7 + 8 × 8 ÷ 8 का 8 + 8 ÷ 8 × 4 का 4] / [4 ÷ 4 का 4 + 4 × 4 ÷ 4 - 4 ÷ 4 का 2] = पहला भाग / दूसरा भाग

= 24/(7/2)

= 48/7

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