Simplification in maths

Simplification in maths मे Based on Fraction, square and cube, decimals, variable and based on Recurring से संबंधित सवाल और उनके उत्तर हल के साथ बताए हुए है –

Simplification in maths :-

Q43. 3\cfrac{1}{5} + 4\cfrac{1}{2} of 5\cfrac{1}{3} – \cfrac{1}{8} + \cfrac{1}{2} of \cfrac{1}{4} + \cfrac{1}{4} ( \cfrac{1}{2} + \cfrac{1}{8} × \cfrac{1}{4} )

Ans. \cfrac{17908}{640}

Q44. \cfrac{2}{7} – \cfrac{3}{8} – [ 2\cfrac{1}{4} ÷ 3\cfrac{1}{2} of 1\cfrac{1}{3} + { 1\cfrac{17}{40} – (3 – 1\cfrac{1}{5} ÷ \cfrac{3}{8} )}]

Ans. \cfrac{-11}{7}

Q45. 25 ÷ 10 – ( \cfrac{7}{4} × \cfrac{1}{3} ) of \cfrac{6}{5} + \cfrac{14}{3} × \cfrac{9}{10} + ( \cfrac{1}{5} ÷ \cfrac{1}{25} )

Ans. 11

Q46. ( 1\cfrac{1}{3} + 2\cfrac{6}{7} of 5\cfrac{3}{5} ) × ( 6\cfrac{2}{5} + 4\cfrac{1}{2} of 5\cfrac{1}{3} ) + ( \cfrac{3}{4} × 2\cfrac{2}{3} + \cfrac{5}{6} of 1\cfrac{1}{5} )

Ans. 0.007 और 0.008 not conform

Q47. ( 2\cfrac{6}{7} of 4\cfrac{1}{5} + \cfrac{2}{3} ) × 5\cfrac{1}{9} + ( \cfrac{3}{4} × 2\cfrac{2}{3} of \cfrac{1}{2} + \cfrac{1}{4} )

Ans. \cfrac{7127}{8}

Q48. 15 ÷ 8 – \cfrac{5}{4} of ( \cfrac{8}{3} × \cfrac{9}{16} ) + ( \cfrac{9}{8} × \cfrac{3}{4} ) – ( \cfrac{5}{32} + \cfrac{5}{7} ) + \cfrac{3}{8}

Ans. 1

Q49. (1.6)³ – (0.9)³ – (0.7)³

Ans. 3.024

Q50. (4³ – 4) ÷ [5² – (7² – 41)]

Ans. 4

Q51. (625^0.07) × (625^0.18)

Ans. 5

Q52. (27^5/2) × (9^3/2) ÷ (3⁷) = 3^k

Ans. 3.5

Q53. (8^4.2) × (7^8.4) × (56^3.5) × (56^k)

Ans. 11.9

Q54. {1/216^-216} + {1/216^-3/4} + {1/32^-1/5} = ?

Ans. 102 not conform