Q41. 2 \frac{7}{8} ÷ (3 \frac{5}{6} ÷ \frac{2}{7} का 2 \frac{1}{3} ) × [(2 \frac{6}{7} का 4 \frac{1}{5} ÷ \frac{2}{3} ) × \frac{5}{9} ] का मान है ?
= \frac{23}{8} ÷ ( \frac{23}{6} ÷ \frac{2}{7} × \frac{7}{3} ) × [( \frac{20}{7} × \frac{21}{5} ÷ \frac{2}{3} ) × \frac{5}{9} ]
= \frac{23}{8} ÷ ( \frac{23}{6} ÷ \frac{2}{3} ) × [(12 ÷ \frac{2}{3} ) × \frac{5}{9} ]
= \frac{23}{8} ÷ ( \frac{23}{6} × \frac{3}{2} ) × [(12 × \frac{3}{2} ) × \frac{5}{9} ]
= \frac{23}{8} × ( \frac{4}{23} ) × [(18) × \frac{5}{9} ]
= \frac{1}{2} × 10
= 5
Q42. ( \frac{2}{3} ÷ \frac{3}{2} का \frac{2}{3} ) का \frac{9}{15} ÷ ( \frac{5}{4} ÷ \frac{5}{2} × \frac{4}{5} का \frac{2}{5} ) का ( \frac{3}{4} × \frac{3}{4} ÷ \frac{4}{3} का \frac{3}{4} ) का मान है :
= ( \frac{2}{3} ÷ \frac{3}{2} × \frac{2}{3} ) का \frac{9}{15} ÷ ( \frac{5}{4} ÷ \frac{5}{2} × \frac{4}{5} × \frac{2}{5} ) का ( \frac{3}{4} × \frac{3}{4} ÷ \frac{4}{3} × \frac{3}{4} )
= ( \frac{2}{3} ÷ 1) का \frac{9}{15} ÷ ( \frac{5}{4} ÷ \frac{5}{2} × \frac{8}{25} ) का ( \frac{3}{4} × \frac{3}{4} ÷ 1)
= ( \frac{2}{3} ) × \frac{9}{15} ÷ ( \frac{5}{4} ÷ \frac{5}{2} × \frac{8}{25} ) × ( \frac{3}{4} × \frac{3}{4} )
= ( \frac{2}{5} ) ÷ ( \frac{5}{4} × \frac{2}{5} × \frac{8}{25} ) × \frac{9}{16}
= ( \frac{2}{5} ) ÷ ( \frac{4}{25} ) × \frac{9}{16} )
= \frac{5}{2} × \frac{9}{16} )
= \frac{45}{32} )
Q43. 16 ÷ 4 का 4 × [3 ÷ {4 × 3 ÷ (3 + 3)} का 4] ÷ (2 ÷ 8 का 4) का मान है :
= 16 ÷ 4 × 4 × [3 ÷ {4 × 3 ÷ (3 + 3)} × 4] ÷ (2 ÷ 8 का 4)
= 16 ÷ 16 × [3 ÷ {2} × 4] ÷ (2 ÷ 8 × 4)
= 16 ÷ 16 × [3 ÷ 8] ÷ (1 ÷ 16)
= 1 × [3 ÷ 8] × 16
= 6
Q44. \frac{8}{9} का (5 \frac{1}{4} ÷ 2 \frac{1}{3} का 4) ÷ (8 ÷ \frac{2}{3} का \frac{4}{5} ) का (8 × \frac{2}{3} ÷ \frac{4}{5} ) का मान है :
= \frac{8}{9} का (5 \frac{1}{4} ÷ 2 \frac{1}{3} × 4) ÷ (8 ÷ \frac{2}{3} × \frac{4}{5} ) का (8 × \frac{2}{3} ÷ \frac{4}{5} )
= \frac{8}{9} का (5 \frac{1}{4} ÷ \frac{28}{3} ) ÷ (8 ÷ \frac{8}{15} ) का ( \frac{16}{3} ÷ \frac{4}{5} )
= \frac{8}{9} का ( \frac{21}{4} × \frac{3}{28} ) ÷ (8 × \frac{15}{8} ) का ( \frac{16}{3} × \frac{5}{4} )
= \frac{8}{9} का ( \frac{63}{112} ) ÷ (15) का ( \frac{80}{12} )
= \frac{8}{9} × ( \frac{63}{112} ) ÷ (15) × ( \frac{80}{12}))
= ( \frac{1}{2} ) ÷ 100
= \frac{1}{200}
Q45. 7 \frac{1}{2} × (3 \frac{1}{5} ÷ 4 \frac{1}{2} का 5 \frac{1}{3} ) + [11 - ( \frac{5}{8} + 3 - 1 \frac{1}{4} )] ÷ 5 \frac{3}{4} - 5 ÷ 5 × 5 का 5 ÷ 25 का मान है :
= \frac{15}{2} × ( \frac{16}{5} ÷ \frac{9}{2} × \frac{16}{3} ) + [11 - ( \frac{5}{8} + 3 - \frac{5}{4} )] ÷ \frac{23}{4} - 5 ÷ 5 × 5 × 5 ÷ 25
= \frac{15}{2} × ( \frac{16}{5} ÷ 24) + [11 - ( \frac{5}{8} + 3 - \frac{5}{4} )] ÷ \frac{23}{4} - 5 ÷ 5 × 25 ÷ 25
= \frac{15}{2} × ( \frac{2}{15} ) + [11 - ( \frac{5}{8} + 3 - \frac{5}{4} )] ÷ \frac{23}{4} - 1 × 1
= 1 + [11 - ( \frac{29}{8} - \frac{5}{4} )] ÷ \frac{23}{4} - 1
= 1 + [11 - ( \frac{19}{8} )] ÷ \frac{23}{4} - 1
= [( \frac{69}{8} )] ÷ \frac{23}{4}
= [( \frac{69}{8} )] × \frac{4}{23}
= \frac{3}{2}
Q46. 6 - 6 ÷ 6 × 6 + (6 ÷ 6 का 6) × 6 - (3 \frac{2}{3} ÷ \frac{2}{3} का \frac{11}{30} ) ÷ 5 का मान है
= 6 - 6 ÷ 6 × 6 + (6 ÷ 6 × 6) × 6 - ( \frac{11}{3} ÷ \frac{2}{3} × \frac{11}{30} ) ÷ 5
= 6 - 1 × 6 + (6 ÷ 36) × 6 - ( \frac{11}{3} ÷ \frac{11}{45} ) ÷ 5
= 6 - 6 + (1/6) × 6 - ( \frac{11}{3} × \frac{45}{11} ) ÷ 5
= 1 - (15) ÷ 5
= 1 - 3
= - 2
Q47. \frac{3}{4} × 2 \frac{2}{3} ÷ 1 \frac{1}{5} का \frac{5}{9} + \frac{2}{23} × 3 \frac{5}{6} ÷ 2 \frac{1}{3} का \frac{2}{7} का मान है
= \frac{3}{4} × \frac{8}{3} ÷ \frac{6}{5} × \frac{5}{9} + \frac{2}{23} × \frac{23}{6} ÷ \frac{7}{3} × \frac{2}{7}
= \frac{3}{4} × \frac{8}{3} ÷ \frac{2}{3} + \frac{2}{23} × \frac{23}{6} ÷ \frac{2}{3}
= \frac{3}{4} × 4 + \frac{2}{23} × \frac{23}{4}
= 3 + \frac{1}{2}
= \frac{7}{2}
Q48. 4.5 - (3.2 + 0.8 × 5) + 3 × 4 ÷ 6 का मान है
= 4.5 - (7.2) + 3 × (2/3)
= 4.5 - (7.2) + 2
= - 0.7
Q49. 3.8 - (4.2 ÷ 0.7 × 3) + 5 × 2 ÷ 0.5 का मान है
= 3.8 - (2) + 5 × 4
= 3.8 - 2 + 20
= 21.8
Q50. 2.8 + (5.2 ÷ 1.3 × 2) - 6 × 3 ÷ 8 + 2 का मान है
= 2.8 + (4 × 2) - 6 × (3/8) + 2
= 2.8 + 8 - 9/4 + 2
= 12.8 - 9/4
= 10.5
