Q31. b – [b – (a + b) – {b – (b – a – b)} + 2a] सरल कीजिए ?
= b – [b – (a + b) – {b – b + a + b} + 2a]
= b – [b – a – b – a – b + 2a]
= b – b
= 0
Q32. यदि \frac{256}{0.256} = \frac{25.6}{x} है तो x का मान क्या होगा ?
\frac{256000}{256} = \frac{256}{10x}
10x = \frac{256×256}{256000}
10x = 0.256
x = 0.0256
Q33. \frac{7|2 - 6|- 4|5| ÷ 5}{-7(2) - 2×2 ÷ 2 + 2}
= \frac{7|- 4|- 4(1)}{-14 - 2×(1) + 2}
= \frac{28 - 4}{-14 - 2 + 2}
= \frac{28 - 4}{-14 - 2 + 2}
= \frac{24}{-14}
= \frac{12}{-7}
Q34. \frac{675×675×675 + 325×325×325}{67.5×67.5 + 32.5×32.5 - 67.5×32.5}
माना a = 67.5 और b = 32.5
= 1000(a3 + b3) / (a2 + b2 – ab)
= 1000(a + b)(a2 + b2 – ab) / (a2 + b2 – ab)
= 1000(a + b)
= 1000000
Q35. 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{26+52-30-9}{12}
= \frac{39}{4} ÷ \frac{39}{12}
= \frac{39}{4} × \frac{12}{39}
= 3
Q36. 4 \frac{4}{5} ÷ \frac{3}{7} का 7 + \frac{4}{5} × \frac{3}{10} – \frac{1}{5}
= \frac{24}{5} ÷ \frac{3}{7} × 7 + \frac{4}{5} × \frac{3}{10} – \frac{1}{5} {By using BODMAS rule}
= \frac{24}{5} ÷ 3 + \frac{12}{50} – \frac{1}{5}
= \frac{24}{5} × \frac{1}{3} + \frac{12}{50} – \frac{1}{5}
= \frac{8}{5} + \frac{1}{25}
= \frac{41}{25}
Q37. \frac{6.75×6.75×6.75 - 4.25×4.25×4.25}{67.5×67.5 + 42.5×42.5+67.5×42.5}
माना a = 6.75 और b = 4.25
= (a3 – b3) / 100(a2 + b2 + ab)
= (a – b)(a2 + b2 + ab) / 100(a2 + b2 + ab) {∵ using formula of (a3 – b3)}
= (a – b) / 100
= 0.025
