Mix|MATHS
निम्न व्यंजक का मान ज्ञात करें। यदि ‘+’ का अर्थ ‘-‘, ‘-‘ का अर्थ ‘+’, ‘×’ का अर्थ ‘÷’ और ‘÷’ का अर्थ ‘×’ होता है, तो समीकरण \(\frac{42 – 12 \times 3 + 8 \div 2 + 15}{8 \times 2 – 4 + 9 \div 3}\) का मान ______ होगा।
- \(-\frac{15}{19}\)
- \(\frac{15}{19}\)
- \(-\frac{5}{3}\)
- \(\frac{5}{3}\)
Explanation:
\((a + b – c + d)^2 – (a – b + c – d)^2 = ?\)
- \(4a(b + d – c)\)
- \(2a(a + b – c)\)
- \(2a(b + c – d)\)
- \(4a(b – d + c)\)
Explanation:
निम्नलिखित \(113 \times 87\) को हल करें।
- 9831
- 10000
- 10026
- 10169
Explanation:
\(3 – (9 – 3 \times 8 \div 2) = ?\)
- 6
- -21
- 0
- \(\frac{21}{2}\)
Explanation:
\(515 \times 485\) का मान है:
- 249775
- 208250
- 200825
- 250225
Explanation:
\(-5 + 5 + 625 \div 5 \times 5 = ?\)
- 625
- 25
- 605
- 121
Explanation:
277 और 323 का गुणनफल कीजिए:
- 89471
- 88471
- 91371
- 89391
Explanation:
\((320 + 342 + 530 + 915) \div (20 + 22 – x + 18) = 43\), तो \(x\) का मान कीजिए।
- 11
- 23
- 26
- 15
Explanation:
\(\frac{0.74 \times 1.23 \times 0.13}{(0.37)^3 + (0.41)^3 – 8(0.39)^3} = ?\)
- \(\frac{-1}{3}\)
- 1
- -1
- \(\frac{1}{3}\)
Explanation:
\(\frac{40 + \frac{3}{4} \text{ का } 32}{37 + \frac{3}{4}(34 – 6)} = ?\)
- \(1\frac{3}{29}\)
- \(2\frac{3}{29}\)
- \(1\frac{9}{29}\)
- \(-1\frac{3}{29}\)
Explanation:
\((1018)^2 – 1019 \times 1017 + 1015 \times 1012 – 1016 \times 1011 = ?\)
- 5
- 1
- 4
- 3
Explanation:
\(1801 \times 1801\) का मान ……….. है।
- 3243601
- 3423601
- 2343601
- 3243106
Explanation:
\(\frac{1.0025 + 6.25 \times 10^{-6}}{0.0025 + 0.95} = ?\)
- 1.0525
- 1.0025
- 1.0005
- 1.0505
Explanation:
56% का 4800 \(- \{(9^3 \times 8) \div \sqrt{6561}\} -\) 48% का \((81 \div 8) = ?\)
- 2611.14
- 2612.14
- 2611.86
- 2612.86
Explanation:
\(\left[\left(5\frac{1}{2}\right)^2 – \left(2\frac{3}{4}\right)^2\right] \div 2\frac{3}{4} = ?\)
- \(8\frac{1}{4}\)
- \(5\frac{1}{2}\)
- \(8\frac{3}{4}\)
- \(2\frac{3}{4}\)
Explanation:
\((0.14 \times 0.14) – (2 \times 0.14 \times 5.14) + (5.14 \times 5.14) = ?\)
- 25
- 5.18
- 4
- 16
Explanation:
\(8 – 5 \div 2^3 \times 3 + (7 \div 7 \times 7) \div 7 + \left(3 \times 6 \div \frac{1}{3}\right) \times \frac{1}{3^3} = ?\)
- \(\frac{73}{8}\)
- \(\frac{79}{8}\)
- \(\frac{76}{8}\)
- \(\frac{65}{8}\)
Explanation:
\(2 \times 3 \div 2 \text{ का } 3 \times 2 \div (4 + 4 \div 4 \times 4 \div 4 \text{ का } 4 – 4 \div 4 \times 4 \times 4) = ?\)
- 2
- 8
- 1
- 4
Explanation:
\(5 \div 5 \text{ का } 5 \times 2 + 2 \div 2 \text{ का } 2 \times 2 \div 2 \times 5 – (5 – 2) \div 6 \times 2 = ?\)
- \(\frac{19}{10}\)
- \(\frac{9}{5}\)
- 19
- \(\frac{23}{2}\)
Explanation:
\(\frac{9}{15} \text{ का } \left(\frac{2}{3} \div \frac{2}{3} \text{ का } \frac{3}{2}\right) \div \left(\frac{3}{4} \times \frac{3}{4} \div \frac{3}{4} \text{ का } \frac{4}{3}\right) \text{ का } \left(\frac{5}{4} \div \frac{5}{2} \times \frac{2}{5} \text{ का } \frac{4}{5}\right) = ?\)
- \(\frac{40}{9}\)
- \(\frac{20}{9}\)
- \(\frac{4}{25}\)
- \(\frac{18}{125}\)
Explanation:
\(7\frac{1}{2} \times \left(3\frac{1}{5} \div 4\frac{1}{2} \text{ का } 5\frac{1}{3}\right) + \left[11 – \left(\frac{5}{8} + 3 – 1\frac{1}{4}\right)\right] \div 5\frac{3}{4} – 5 \div 5 \times 5 \text{ का } 5 \div 25 = ?\)
- \(1\frac{1}{2}\)
- \(\frac{1}{2}\)
- \(\frac{1}{10}\)
- \(\frac{3}{10}\)
Explanation:
\(7.2 + (8.4 \div 0.12 \times 0.2) – 5 \times 3 \div 0.05 + 3 = ?\)
- -275.8
- -75.8
- 21.2
- -175.8
Explanation:
\(15.2 + 5.8 \div 2.9 \times 2 – 3.5 \times 2 \div 0.5 = ?\)
- 5.2
- 4.8
- 3.2
- 5.4
Explanation:
\(\left(18 + 2 \text{ का } \frac{1}{4}\right) \times \left(\frac{2}{3} + \frac{3}{5} \times \frac{4}{5}\right) \div \left(\frac{2}{3} \div \frac{3}{4} \text{ का } \frac{3}{4}\right) = ?\)
- \(16\frac{7}{8}\)
- \(8\frac{5}{8}\)
- \(2\frac{7}{64}\)
- \(10\frac{2}{3}\)
Explanation:
\(\frac{36 \div 42 \text{ का } 6 \times 7 + 24 \times 6 \div 18 + 3 \div (2 – 6) – (4 + 3 \times 2) \div 8}{21 \div 3 \text{ का } 7}\)
- 7
- \(7\frac{1}{2}\)
- 8
- \(\frac{1}{7}\)
Explanation:
\(\frac{5\frac{1}{2} + 3\frac{2}{3} \text{ का } \frac{1}{4} + \left(5\frac{1}{9} – 7\frac{7}{8} \div 9\frac{9}{20}\right) \times \frac{9}{11}}{5 \div 5 \text{ का } \frac{1}{10} – 10 \times 10 \div 20} = ?\)
- \(1\frac{1}{2}\)
- \(1\frac{4}{5}\)
- \(3\frac{4}{5}\)
- \(9\frac{1}{2}\)
Explanation:
\(\frac{8 \div [(8 – 3) \div \{(4 \div 4 \text{ का } 8) + 4 – 4 \times 4 \times 4 + 8\} – 2]}{8 \times 8 \div 4 – 8 \div 8 \text{ का } 2 – 7}\)
- \(\frac{8}{3}\)
- \(\frac{17}{8}\)
- \(\frac{16}{170}\)
- \(\frac{2}{17}\)
Explanation:
\(\frac{3\frac{2}{3} \div \frac{11}{30} \text{ का } \frac{2}{3} – \frac{1}{4} \text{ का } 2\frac{1}{2} + \frac{3}{5} \times 4\frac{4}{5}}{\frac{2}{5} \text{ का } 7\frac{1}{2} + \frac{3}{4} – \frac{3}{4} \times 1\frac{1}{2} \div 2\frac{1}{4}}\)
- \(2\frac{6}{7}\)
- \(2\frac{2}{9}\)
- \(\frac{10}{21}\)
- \(3\frac{4}{7}\)
Explanation:
यदि ‘+’ का अर्थ ‘-‘, ‘-‘ का अर्थ ‘+’, ‘×’ का अर्थ ‘÷’ और ‘÷’ का अर्थ ‘×’ है, तो \(\frac{[(30 \times 5) + (84 \times 6)] \div 5}{\left[\frac{2}{3} \div 18\right] – [4 \div 2]}\)
- -2
- 2
- -1
- 1
Explanation:
\(3 \div 18 \text{ का } 3 \times 6 – 22 \times 6 \div 18 – 3 \div 2 + 10 – 3 \div 9 \text{ का } 3 \times 9 = ?\)
- \(\frac{1}{2}\)
- \(-\frac{1}{3}\)
- \(-\frac{1}{2}\)
- \(\frac{1}{3}\)
Explanation:
\(14 – 20 \times [7 – \{18 \div 2 \text{ का } 3 – (15 – 25 \div 5 \times 4)\}] = ?\)
- 34
- 0
- 24
- 6
Explanation:
\(32 \div 12 \text{ का } 3 \times [5 – (15 – 12) \div 9] \text{ का } \frac{3}{7} + 4 – 8 \div 2 \text{ का } 4 = ?\)
- \(4\frac{7}{9}\)
- \(1\frac{7}{9}\)
- \(3\frac{1}{3}\)
- \(3\frac{1}{6}\)
Explanation:
\(5\frac{1}{5} \div \left[3\frac{1}{2} – \left\{\frac{5}{6} – \left(\frac{3}{5} + \frac{1}{10} – \frac{4}{15}\right)\right\}\right] = ?\)
- \(\frac{52}{31}\)
- \(\frac{12}{31}\)
- \(\frac{22}{31}\)
- \(\frac{72}{31}\)
Explanation:
\(\left(\frac{7}{16} \div \frac{1}{2} \text{ का } \frac{1}{5}\right) \times \frac{4}{5} – \frac{1}{3} \times \frac{5}{8} \div \frac{1}{2} + \frac{3}{4} = ?\)
- \(\frac{23}{6}\)
- \(\frac{317}{96}\)
- \(\frac{10}{3}\)
- \(\frac{71}{150}\)
Explanation:
\(441 \div \left[270 \div \frac{3}{7} + \left(17 \div \frac{1}{3}\right) – \left(8\frac{1}{2} – \frac{5}{2}\right)\right]\)
- \(\frac{49}{75}\)
- \(\frac{39}{75}\)
- \(\frac{19}{75}\)
- \(\frac{29}{75}\)
Explanation:
\(3 \times 8 \div 9 \text{ का } 6 – 2 \div 3 \times (5 – 2) \times 2 + 18 \div 3 \text{ का } 3 = ?\)
- \(-1\frac{5}{9}\)
- -4
- \(2\frac{12}{13}\)
- \(2\frac{1}{3}\)
Explanation:
\(423 \div \left[270 \div \frac{3}{7} \times 35 + \left(17 \div \frac{1}{3}\right) – \left(8\frac{1}{2} – \frac{5}{2}\right)\right] = ?\)
- \(\frac{47}{2455}\)
- \(\frac{41}{2455}\)
- \(\frac{51}{2455}\)
- \(\frac{43}{2455}\)
Explanation:
\(\frac{3\frac{1}{2} + 5\frac{1}{3} \div 1\frac{1}{3} \times 5\frac{1}{4} – 5\frac{1}{2}}{1\frac{1}{2} \times 1\frac{2}{3} – 6\frac{1}{2}} \div 7 \times 2\)
- \(-1\frac{5}{14}\)
- \(\frac{13}{147}\)
- \(29\frac{9}{32}\)
- \(-\frac{5}{28}\)
Explanation:
\(\frac{2}{7} – \frac{3}{8} – \left[2\frac{1}{4} \div 3\frac{1}{2} \text{ का } 1\frac{1}{3} + \left\{1\frac{17}{40} – \left(3 – 1\frac{1}{5} – \frac{3}{8}\right)\right\}\right] = ?\)
- \(-\frac{4}{7}\)
- \(\frac{2}{7}\)
- \(-\frac{2}{7}\)
- \(\frac{4}{7}\)
Explanation:
\(\frac{48.3 \times [(4.95)^2 + 4.95 \times 13.25]}{[(12.55)^2 – (5.65)^2] \times 19.8} = ?\)
- 1.75
- 17.5
- 0.175
- 175
Explanation:
यदि \(25(3 + 4p) \div 12\) का \(5 – 3 \times 8 = 6\) है, तो \(p\) का मान क्या है?
- \(17\frac{1}{4}\)
- 72
- 69
- \(15\frac{1}{3}\)
Explanation:
\(\frac{\left[\frac{3}{8} – \left\{\frac{3}{8} – \left(\frac{5}{8} – \frac{3}{8}\right)\right\}\right] \text{ का } 4.8 – 0.9}{4\frac{1}{6} \div 2.5 \times 0.2 \div \frac{1}{5} \text{ का } 50 + \left(\frac{3}{4} – \frac{1}{8}\right)} = ?\)
- \(\frac{36}{79}\)
- \(\frac{30}{79}\)
- \(\frac{42}{79}\)
- \(\frac{24}{79}\)
Explanation:
\(\frac{9 \div \frac{3}{7} \text{ का } (9 + 6 \times \overline{4 – 2}) + \left[\frac{1}{5} + \frac{7}{25} – \left(\frac{5}{8} + \frac{6}{16}\right)\right]}{24 \div 16 – 10 + 36 \div (5 + 20 + 4 – 1)}\)
- \(\frac{5}{56}\)
- \(\frac{40}{7}\)
- \(\frac{7}{40}\)
- \(\frac{51}{36}\)
Explanation:
\(\frac{1\frac{2}{3} \div \frac{5}{6} \times 6 + \frac{4}{5} \times \frac{1}{2} \div \frac{2}{3}}{2 – \left|1\frac{1}{3} \times \left(-\frac{3}{5}\right) – 6\left\{\frac{3}{5} – \left(3 – \frac{3}{10}\right)\right\}\right|}\)
- \(-\frac{4}{3}\)
- \(\frac{4}{3}\)
- \(\frac{1}{7}\)
- \(-\frac{1}{7}\)
Explanation:
\(\left[\frac{85}{34} \times \frac{1}{18} – \left\{\left(\frac{46}{69} \div \frac{27}{135}\right) – \left(\frac{86}{129} \times \frac{91}{14}\right)\right\} \text{ का } \frac{112}{36}\right]\)
- \(3\frac{1}{4}\)
- \(3\frac{1}{5}\)
- \(3\frac{3}{4}\)
- \(3\frac{1}{2}\)
Explanation:
यदि \(720 \div 8 + 915 \div 15 – m + 32 \times 5 = 1104 \div 16 \times 111 \div 37\) है, तो \(m\) का मान क्या होगा?
- 104
- 518
- 207
- 311
Explanation:
\(7p – [3q – \{8p – (4q – 10p)\}] = ?\)
- \(25p – 7q\)
- \(7p – 11q\)
- \(9p – 12q\)
- \(12p – 9q\)
Explanation:
\(\frac{(25)^4 + 1250 + 1 – (25)^2}{25^2 + 25 + 1} = ?\)
- 601
- 602
- 603
- 604
Explanation:
\(-\{11 – (3 \div 4) \text{ का } 8 – \overline{4 – 8}\}\) का मान ज्ञात कीजिए?
- 1
- 2
- 3
- -1
Explanation:
निम्नलिखित में से कौन सी भिन्न सबसे बड़ी है? \(\frac{3}{7}, \frac{7}{53}, \frac{41}{80}, \frac{29}{79}\)
- \(\frac{41}{80}\)
- \(\frac{29}{79}\)
- \(\frac{7}{53}\)
- \(\frac{3}{7}\)
Explanation:
निम्नलिखित अभिव्यक्ति को सरल कीजिए \((60 + 64 \div 4 \text{ का } 4) \times \{1000 \div ((10 \text{ का } (3 + 2)) \times 2 \text{ का } 5)\} – 28 + (100 \times 3 \text{ का } 3)\)।
- 1000
- 600
- 100
- 500
Explanation:
यदि \(\frac{3(16^3 – 6^3)}{(16^2 + 6^2 + Q)} = 30\) है, तो \(Q\) ज्ञात कीजिए।
- 96
- 98
- 112
- 108
Explanation:
निम्नलिखित को सरल कीजिए। \(\left[\left(5\frac{1}{2} – 3\frac{1}{3}\right) \text{ of } 1\frac{5}{13} + 1 – 2 \times 3\frac{3}{5} \div 2\frac{3}{4}\right]\)
- 0
- \(11/2\)
- 2
- \(3\frac{1}{2}\)
Explanation:
यदि \(\frac{88 \div 8 \times k – 3 \times 3}{6^2 – 7 \times 5 + k^2} = 1\) है, तो निम्न में से \(k\) का मान क्या हो सकता है?
- 1, 10
- 4, 7
- 3, 10
- 2, 7
Explanation:
निम्नलिखित अभिव्यक्ति को सरल कीजिए: \(25 \div 5 + 3\) का \(2 – 4 + 6\) का \(3 \div 2 – 8 + 4\)?
- 12
- 16
- 4
- 8
Explanation:
सरल करें: \(6 \times [28 \div 84 \times \{36 \times 49 \div (6 \times 7)\}] = ?\)
- 84
- 74
- 64
- 94
Explanation:
समीकरण \(9 \times N\) का \(4 \div 4 – 15 \times 4 = 12\) में \(N\) का मान क्या है?
- 8
- 9
- 0
- 12
Explanation:
निम्नलिखित को सरल \(16 \div 2 – 7 \times 15 \div 3 + 5 \times 5 + 4 \times 3 – 10\) कीजिए?
- 0
- 1
- 2
- -1
Explanation:
\(\frac{17}{30} + \left[3\frac{1}{5} – \left\{\frac{5}{6} – \left(3\frac{4}{5} \div 9\frac{1}{2}\right)\right\}\right] = ?\)
- \(\frac{10}{3}\)
- \(\frac{1}{5}\)
- \(\frac{3}{5}\)
- \(\frac{11}{3}\)
Explanation:
\(7\frac{1}{3} \div 2\frac{1}{2} \text{ का } 1\frac{3}{5} – \left(\frac{3}{8} + \frac{1}{7} \times 1\frac{3}{4}\right) – \frac{5}{24} = ?\)
- 1
- 2
- \(\frac{1}{24}\)
- \(\frac{1}{12}\)
Explanation:
\(\left(1 – \cfrac{1}{4 – \cfrac{2}{1 + \cfrac{1}{\frac{1}{3} + 2}}}\right) \times \frac{15}{16} + \frac{2}{3} \text{ का } 2\frac{1}{4} – \frac{3 + 4}{3^3 + 4^3}\)
- \(\frac{4}{13}\)
- \(\frac{6}{13}\)
- \(\frac{8}{13}\)
- \(\frac{5}{13}\)
Explanation:
\(5 \div 5 + 8 – \{4 + (4 \div (4 \text{ का } 2 \div 4 – (2 \div 4 \text{ का } 2)))\} = ?\)
- \(20/29\)
- \(5/8\)
- \(5/7\)
- \(20/23\)
Explanation:
\(\left(5\frac{1}{4} \div \frac{3}{7} \text{ का } \frac{1}{2}\right) \div \left(5\frac{1}{9} – 7\frac{7}{8} \div 9\frac{9}{20}\right) \times \frac{11}{21} + \left(2 \div 2 \text{ का } \frac{1}{2}\right)\)
- 5
- \(9/4\)
- 3
- \(7/2\)
Explanation:
\(\frac{\frac{1}{3} + \left[4\frac{3}{4} – \left(3\frac{1}{6} – 2\frac{1}{3}\right)\right]}{\left(\frac{1}{5} \div \frac{1}{5} \text{ का } \frac{1}{5}\right) – \left(\frac{1}{5} \div \frac{1}{5} \times \frac{1}{5}\right)}\) का मान किसके मध्य में होगा?
- 4.2 और 4.4
- 10.2 और 10.8
- 8.2 और 8.8
- 0.4 और 0.9
Explanation:
\(\frac{\left(3\frac{1}{3} – 2\frac{1}{2}\right) \div \text{ का } 1\frac{1}{4}}{\frac{3}{10} + \frac{1}{6} \times \frac{1}{3}} \text{ का } \frac{4}{15} \div \frac{\frac{1}{3} \div \frac{1}{3} \text{ का } \frac{1}{9}}{\frac{1}{9} \times \frac{1}{3} \div \frac{1}{6}}\)
- \(\frac{4}{81}\)
- \(\frac{9}{2}\)
- \(\frac{2}{9}\)
- \(\frac{27}{8}\)
Explanation:
\(\frac{17.35 + \frac{7}{5} \text{ का } 55 – 7}{(42 + 6 \times 8.35) – \frac{3}{7} \text{ का } \left(2 – \frac{1}{5}\right) + [291 \div (80 + 8)]}\)
- 1
- 4
- 2
- 3
Explanation:
\(\frac{\left(1\frac{1}{9} \times 1\frac{1}{20} + \frac{21}{38} – \frac{1}{3}\right) \div \left(2\frac{4}{9} \div 1\frac{7}{15} \text{ का } \frac{3}{5}\right)}{\frac{1}{5} \text{ का } \frac{1}{5} + \frac{1}{125} – \frac{1}{25} \times \frac{1}{5} \text{ का } \frac{1}{5}}\) का मान किसके बीच स्थित है?
- 0.15 तथा 0.2
- 0.1 तथा 1.5
- 0.25 तथा 0.3
- 0.2 तथा 0.25
Explanation:
\(\left(5 \div 2 \text{ का } \frac{1}{2}\right) + \left(5\frac{1}{4} \div \frac{3}{7} \text{ का } \frac{1}{2}\right) \div \left(5\frac{1}{9} – 7\frac{7}{8} \div 9\frac{9}{20}\right) \times \frac{11}{21} = ?\)
- 8
- -2
- \(\frac{15}{28}\)
- \(\frac{35}{24}\)
Explanation:
\(1 – 3 \div 6 \text{ का } 2 + \left(4 + 4 \text{ का } \frac{1}{4}\right) \div 8 + \left(4 \times 8 \div \frac{1}{4}\right) \times \frac{1}{8} = ?\)
- \(\frac{69}{4}\)
- \(-\frac{1}{4}\)
- \(-\frac{69}{4}\)
- \(\frac{7}{4}\)
Explanation:
\(\frac{\left[\frac{5}{8} – \left\{\frac{3}{8} – \left(\frac{5}{8} – \frac{3}{8}\right)\right\}\right] \text{ का } 8.8 – 1.2}{4\frac{1}{6} \div 2.5 \times 2 \div \frac{1}{6} \text{ का } 60 + \left(\frac{3}{4} – \frac{3}{8}\right)}\)
- \(4\frac{44}{85}\)
- \(5\frac{22}{43}\)
- \(3\frac{23}{67}\)
- \(4\frac{4}{5}\)
Explanation:
\((0.2)^3 \times 400 \div 2000\) का \((0.2)^2\) का सरलीकृत मान ………… है।
- \(\frac{1}{25}\)
- \(\frac{3}{25}\)
- \(\frac{2}{25}\)
- \(\frac{1}{50}\)
Explanation:
निम्नलिखित को हल कीजिए। \(\left[25^2 \div 8 \div 2^3 – \left\{16 + \left(28 \text{ का } 7 \div 2^2\right) – \left(18^2 \div 12^2 \text{ का } \frac{1}{8}\right)\right\}\right]\)
- 579
- 721
- 626
- 529
Explanation:
\(\{1 + 7 + (16 \times 8 \div 2)\} + \left\{(6 \times 2^2 + 6) \times \frac{2}{\sqrt{36}}\right\}\) का मान ज्ञात करें।
- 19
- 17
- 21
- 12
Explanation:
निम्नलिखित को हल कीजिए। \(81^{\frac{3}{4}} + \left[\left(20 \div 5 \text{ का } 3 \times 6\right) + \left\{\left(8 \div 24 \text{ का } 3\right) \times 4\right\} – 10 \div 5\right] – \left(\frac{1}{32}\right)^{-\frac{2}{5}}\)
- \(29\frac{4}{9}\)
- \(24\frac{1}{4}\)
- \(21\frac{1}{9}\)
- \(27\frac{4}{5}\)
Explanation:
सरल कीजिए। \(19 \div 5\) का \((27 – \overline{15 – 21}) + 37\)
- \(\frac{6124}{165}\)
- \(\frac{19}{165}\)
- \(\frac{6142}{165}\)
- \(\frac{37}{165}\)
Explanation:
यदि \(1\frac{1}{3} \div \frac{2}{5} \times \frac{x}{5} = 1\frac{1}{4} \times \frac{2}{3} \div \frac{1}{6}\), तो \(x\) का मान है:
- 7.5
- 5.5
- 7.0
- 15
Explanation:
\(11 \times 11 + 11 \div 11 – 11 \times 11 + 11 + 11 \times 11 – 11 – 11 – 11 \times 11 = ?\)
- 1
- 11
- 121
- 0
Explanation:
\(3 \times 2 \div 3\) का \(12 – 3 \div 2 \times (2 – 3) \times 2 + 3 \div 2\) का \(3 = ?\)
- \(3\frac{2}{3}\)
- \(2\frac{1}{3}\)
- \(-2\frac{1}{3}\)
- \(-3\frac{2}{3}\)
Explanation:
\(\left(\frac{7}{5} \div \frac{7}{10} \text{ का } \frac{3}{4}\right) \div \frac{4}{9} – \left(\frac{7}{16} \div 10\frac{1}{2} \times 7\frac{1}{2}\right) \times \frac{5}{12}\)
- \(\frac{47}{8}\)
- \(\frac{39}{4}\)
- \(\frac{49}{8}\)
- \(\frac{41}{4}\)
Explanation:
यदि \(A = \left[\frac{3}{7} \text{ का } 4\frac{1}{5} \div \frac{18}{25} + \frac{17}{24}\right]\) का \(\left[\frac{289}{16} \div \left(\frac{3}{4} + \frac{2}{3}\right)^2\right]\) है, तो \(8A\) का मान हैं-
- 231
- 321
- 132
- 213
Explanation:
\(\left[5\frac{4}{9} \div \left(\frac{11}{4} – \frac{13}{6}\right)^2\right] \div \left[7\frac{3}{11} \text{ का } 8\frac{4}{5} \div 1\frac{5}{7} – \frac{4}{3}\right]^2 = ?\)
- \(\frac{1}{81}\)
- \(\frac{1}{61}\)
- \(\frac{1}{71}\)
- \(\frac{1}{91}\)
Explanation:
\(\frac{4}{5} \div 3\frac{1}{4} – \frac{8}{13} \div \frac{\frac{1}{5} – \frac{1}{8}}{\frac{1}{5} + \frac{1}{8}} \times 5\frac{1}{5} + \frac{5}{6} = ?\)
- \(\frac{1}{30}\)
- \(\frac{2}{15}\)
- \(\frac{7}{30}\)
- \(\frac{1}{15}\)
Explanation:
\(\frac{\frac{1}{5} + \frac{1}{5} \times \frac{1}{5}}{\frac{1}{5} + \frac{1}{5} \text{ का } \frac{1}{5}} – 4\frac{1}{5} \div 105 = ?\)
- 0
- 2
- 10
- 5
Explanation:
\(75\frac{3}{5} \div \left[15 \div 3 \text{ का } 5 + 7 \div \frac{1}{14} – \left(78 \div 3\frac{1}{3}\right)\right]\)
- 1
- 2
- 5
- 0
Explanation:
\(\left[\{(232 \div 29 \text{ का } 2) + 77 \times 10\} \div 18\right] – \frac{18 \times 8 \div 4 \text{ का } 3 – 4}{2 \times (8 – 6) + 1 – 2 \times 3 \div 4 \text{ का } \frac{1}{2}} = ?\)
- 39
- 44
- 33
- 47
Explanation:
\(31\frac{2}{5} \div \left[168 \div \frac{3}{7} \text{ का } 28 + \left(33 \div \frac{5}{2}\right) + \left(7\frac{3}{5} – 3\frac{2}{5}\right)\right]\)
- 1
- 5
- 3
- 10
Explanation:
\(4\left\{2\left(\frac{3}{4} \text{ का } 24 – 1\right) + 3(7 + x) – 5 \times 8 + 1\right\} = (20)^2\) है, तो \(x\) का मान क्या है?
- 0.2
- 0.625
- 0.75
- 0.4
Explanation:
\(\frac{3\frac{2}{3} – 5\frac{7}{9} \div \frac{1}{3} \times 1\frac{2}{13}}{\frac{2}{3} \text{ का } 1\frac{1}{3} \div \frac{1}{3}} = ?\)
- \(-6\frac{1}{8}\)
- \(-2\frac{77}{104}\)
- \(-29\frac{2}{5}\)
- \(-14\frac{1}{4}\)
Explanation:
\(42 \div 10 – \left(\frac{7}{4} \times \frac{1}{3}\right) \text{ का } \frac{6}{5} + \frac{16}{3} \times \frac{9}{10} – \left(\frac{1}{6} \div \frac{1}{36}\right) = ?\)
- 2.3
- 1.7
- 2.9
- 1.5
Explanation:
\(28 \div [25 + 8 \div 4 – \{25 + (25 \text{ का } 8 \div 20) – (125 \div 5 \text{ का } 25)\}] + (25 \times 5) = ?\)
- 121
- 129
- -121
- -4
Explanation:
\(4 \times 3 \div 2 \text{ का } 3 \times 2 \div (4 + 5 \times 4 \div 4 \text{ का } 5 – 4 \div 4 \times 4 \times 4) = ?\)
- 4
- 3
- 6
- 2
Explanation:
\(441 \div \left[270 \div \frac{3}{7} \text{ का } 35 + \left(17 \div \frac{1}{3}\right) – \left(8\frac{1}{2} – \frac{5}{2}\right)\right]\)
- 7
- 21
- 11
- 14
Explanation:
\(364 – \left[142 – \left\{75 + \left(38 – \overline{\frac{5}{4} + \frac{14}{8}}\right)\right\}\right]\)
- 332
- 330
- 331
- 334
Explanation:
\(\frac{13\frac{7}{9} \div \frac{2}{3} \text{ का } \frac{1}{3} + \frac{2}{3} \times 3}{\frac{7}{5} \text{ का } 325 – 20 + 7} = ?\)
- \(\frac{32}{221}\)
- \(\frac{40}{1989}\)
- \(\frac{31}{2210}\)
- \(\frac{33}{217}\)
Explanation:
\(56 \div [12 + 9 \div 3 – \{8 + (18 \text{ का } 2 \div 9 – 40 \div 5 \text{ का } 2)\}] + \frac{27 + \frac{2}{5} \text{ का } 75}{5 + \frac{2}{3} \times (58 – 37)} = ?\)
- 11
- 8
- -11
- -8
Explanation:
\(\frac{96 \div 16 \text{ का } 2 – 128 \times 2 \div 32 + 15 \text{ का } 4}{\frac{5}{6} \text{ का } \frac{2}{3}\left(\frac{1}{3} – \frac{1}{4} + \frac{1}{6}\right)} = ?\)
- 396
- \(\frac{55}{36}\)
- 216
- \(-\frac{5}{36}\)
Explanation:
\(\frac{87 + \frac{2}{5} \text{ का } 115}{25 – \frac{2}{3} \times \{45 \text{ का } 2 \div (19 – 4)\}} = ?\)
- \(6\frac{1}{3}\)
- \(-4\frac{17}{29}\)
- \(-6\frac{1}{3}\)
- \(4\frac{17}{29}\)
Explanation:
\(\left(5\frac{5}{6} \div 3\frac{1}{2} \text{ का } \frac{10}{21}\right) \div \left(\frac{3}{4} \div 1\frac{1}{2} \text{ का } \frac{4}{5} – \frac{4}{5} \times \frac{1}{2}\right) \text{ का } \frac{35}{18} = ?\)
- 8
- \(3\frac{1}{2}\)
- \(1\frac{4}{5}\)
- 6
Explanation:
\(3p – [3p – \overline{p + q} – \{3p – (p – \overline{q – p})\}] = ?\)
- \(2p + 2q\)
- \(3p – q\)
- \(p + 2q\)
- \(3p + 2q\)
Explanation:
यदि \(\left[3\frac{6}{7} \div \frac{54}{7} – \left\{3 – \left(2\frac{3}{4} – \frac{3}{2}\right)\right\}\right] + A \div 4 = 0\) तो \(A\) का मान क्या होगा?
- 5
- 9
- 6
- 4
Explanation:
\(9\frac{1}{5} \div \left\{\left(16\frac{1}{5} \div \overline{12\frac{2}{3} – 9\frac{2}{3}}\right) + 17\frac{1}{2} \text{ का } 3\frac{1}{21}\right\}\)
- \(\frac{138}{881}\)
- \(\frac{139}{881}\)
- \(\frac{137}{881}\)
- \(\frac{140}{881}\)
Explanation:
\(1980 \div 9 + \left[-77 + \left\{-1980 + \left(\frac{1}{4} \text{ का } 7920\right)\right\}\right]\)
- 1990
- 1980
- 143
- 164
Explanation:
\(2\left[8p + 5\left\{n – 2\left(n – \overline{n + p} + 4p\right)\right\}\right] = ?\)
- \(76p + 10n\)
- \(6p + 10n\)
- \(7p + 6n\)
- \(10p + 10n\)
Explanation:
\(\frac{\frac{27}{14} \div \frac{24}{7} \text{ का } \frac{63}{28} – \frac{9}{4}}{\frac{35}{8} \div \frac{15}{4} \text{ का } \frac{7}{48} + \frac{5}{16}} \div \frac{196}{95} = ?\)
- \(-\frac{40}{343}\)
- \(-\frac{40}{357}\)
- \(\frac{40}{343}\)
- \(-\frac{40}{243}\)
Explanation:
यदि \(9 \times 4\) का \(3 + 2 – 5 \times Q + 2 \times 3 = 10\) है, तो \(Q\) का मान ज्ञात कीजिए।
- 10
- 0.2
- 0.1
- 5
Explanation:
\(\left[\frac{1}{5} + \left\{\frac{1}{7} \text{ का } \left(\frac{25}{42} \div \frac{35}{6}\right) – \left(\frac{4}{7} \times \frac{6}{5} \div \frac{54}{63}\right) + \frac{28}{40}\right\}\right]\)
- \(\frac{393}{3430}\)
- \(\frac{403}{3430}\)
- \(\frac{99}{490}\)
- \(\frac{383}{3430}\)
Explanation:
BODMAS की अवधारणा का उपयोग करते हुए ‘\(a\)’ का मान ज्ञात कीजिए। \(42 \div 2 + a \times 3 – 22 = 8\)
- 3
- 4
- 6
- 5
Explanation:
\((5 \times 5 \times 5 \times 5 \times 5)^5 \times (5 \times 5 \times 5)^5 \div 5 = (125)^n\) हो, तो \(n\) का मान ज्ञात करें।
- 13
- 15
- 21
- 14
Explanation:
निम्नलिखित में से किस विकल्प का मान सबसे बड़ा है?
- \(20 + 4 + (-8) – 2 + 3 + 6\)
- \((-22) + (-4 – 7)\)
- \((-18) – 45 + (-3 – 2)\)
- \((-99) + (-44) – 12\)
Explanation:
\(\frac{7 \text{ का } 14 \div 4}{5 \times 4 \div 2} + \frac{6 \div 12 \times 3}{5 \div 25 \times 2} + \frac{15 \div 5 \times 6}{5 \times 15 \div 6} = ?\)
- 7.64
- 7.44
- 7.62
- 7.22
Explanation:
\(\frac{2 + 7 \times 7 \div 9 \text{ का } 9 + 6 \div 6 \times 2}{4 \div 4 \text{ का } 5 + 7 \times 7 \div 7 – 6 + 4}\)
- \(\frac{1865}{2106}\)
- \(\frac{1857}{2507}\)
- \(\frac{1664}{2305}\)
- \(\frac{1734}{2707}\)
Explanation:
\(10 + 3\frac{3}{5} \div \left[2\frac{2}{3} \div \left\{7\frac{1}{6} – \left(2\frac{1}{2} + \frac{2}{3}\right)\right\}\right] = ?\)
- \(\frac{77}{5}\)
- \(\frac{79}{5}\)
- \(\frac{78}{5}\)
- \(\frac{76}{5}\)
Explanation:
\(\frac{119 – \left[48 + 6 – 7\left\{5 \times 12 \div 3 – \left(15 – \overline{3 – 8}\right)\right\}\right]}{24 \div 3 – 9 \text{ का } 3 + (52 – 8 – 4) \div 6}\)
- \(-\frac{111}{11}\)
- \(-\frac{111}{27}\)
- \(\frac{127}{43}\)
- \(\frac{111}{11}\)
Explanation:
\(\frac{109 – \left\{121 + (11 \text{ का } 11) – (-4) – \left(3 – \overline{8 – 1}\right)\right\}}{125 – (-3)\left(4 – \overline{6 – 2}\right) + 3\{5 + (-3) \text{ का } (-6)\}}\) का सरलीकृत मान है।
- \(\frac{4}{5}\)
- 125
- 100
- \(\frac{5}{4}\)
Explanation:
\(\frac{1 + \frac{3}{7} \text{ का } \left(6 + 8 \times \overline{3 – 2}\right) + \left[\frac{1}{5} + \frac{7}{25} – \left\{\frac{3}{7} + \frac{8}{14}\right\}\right]}{18 + 10 – 4 + 32 \div (4 + 10 + 2 – 1)}\) का सरलीकृत मान है।
- \(-\frac{5}{294}\)
- \(-\frac{5}{12}\)
- \(\frac{5}{42}\)
- \(\frac{5}{294}\)
Explanation:
दिए गए व्यंजक को सरल कीजिए। \(\frac{(326 + 222)^2 – (326 – 222)^2}{(326 \times 222)}\)
- 4
- 1
- 3
- 2
Explanation:
\(\frac{1}{8}\left[\left(x + \frac{1}{y}\right)^2 – \left(x – \frac{1}{y}\right)^2\right] = ?\)
- \(\frac{x}{2y}\)
- \(\frac{x}{y}\)
- \(\frac{4x}{y}\)
- \(\frac{2x}{y}\)
Explanation:
\(\frac{0.325 \times 0.325 + 0.175 \times 0.175 – 25 \times 0.00455}{5 \times 0.0065 \times 3.25 – 7 \times 0.175 \times 0.025}\) का मान किसके मध्य है?
- 0.25 और 0.35
- 0.05 और 0.25
- 0.15 और 0.25
- 0.35 और 0.45
Explanation:
\(\frac{4.669 \times 4.669 – 9 \times (0.777)^2}{(4.669)^2 + (2.331)^2 + 14(0.667)(2.331)}\) का मान \((1 – k)\) है, जिसमें \(k = ?\)
- 0.666
- 0.647
- 0.467
- 0.768
Explanation:
\(\frac{(0.13)^2 + (0.21)^2}{(0.39)^2 + 81(0.07)^2} \div \frac{(2.4)^4 + 3 \times (11.52) + 9}{(2.4)^6 + 6(2.4)^4 + 3 \times (17.28)}\) का मान किसके बीच है?
- 0.6 तथा 0.7
- 0.4 तथा 0.5
- 0.7 तथा 0.8
- 0.5 तथा 0.6
Explanation:
निम्नलिखित अभिव्यक्ति का सकारात्मक मान क्या है? \(\sqrt{36 \div 15 \text{ का } 2 \text{ का } [25 \times 4 + 4 \text{ का } \{29 – (8 – 11) \div (9 \times 5) \div 5 \text{ का } 3\}]}\)
- \(1\frac{1}{5}\)
- \(1\frac{5}{6}\)
- \(2\frac{4}{5}\)
- \(2\frac{3}{5}\)
Explanation:
\(\left(\frac{1}{4}\right) \times \left(\frac{1}{9}\right) \times \left(\frac{1}{25}\right) \times \left(\frac{1}{49}\right) \div \left(\frac{36}{121}\right)\) का वर्गमूल है:
- \(\frac{11}{1260}\)
- \(\frac{1260}{11}\)
- \(\frac{11}{1260}\)
- \(\frac{1}{1260}\)
Explanation:
\([(82 \times 82) – (18 \times 18)]^{0.5} = ?\)
- 80
- 100
- 20
- 40
Explanation:
\((2.19)^2 + 2(2.19)(3.81) + (3.81)^2 = ?\)
- 36
- 216
- 12
- 6
Explanation:
\(\frac{0.09 \times 0.09 + 0.04 \times 0.04 + 0.16 \times 0.16 + 2 \times 0.09 \times 0.04 + 2 \times 0.04 \times 0.16 + 2 \times 0.16 \times 0.09}{0.3 \times 0.3 + 0.2 \times 0.2 + 0.4 \times 0.4}\)
- 0.29
- 0.32
- 0.38
- 0.24
Explanation:
\(0.1 \times 0.1 + 0.68 \times 0.68 + 0.22 \times 0.22 + 0.044 + 0.136 + 0.44 \times 0.68 = ?\)
- 1
- 0.69
- 0.8
- 0.9
Explanation:
सरलीकरण करें: \(\frac{x^3 – y^3}{x[(x + y)^2 – 3xy]} \div \frac{y[(x – y)^2 + 3xy]}{x^3 + y^3} \times \frac{(x + y)^2 – (x – y)^2}{x^2 – y^2}\)
- 4
- 1
- \(\frac{1}{2}\)
- \(\frac{1}{4}\)
Explanation:
यदि \(P = \frac{x^3 + y^3}{(x – y)^2 + 3xy}\), \(Q = \frac{(x + y)^2 – 3xy}{x^3 – y^3}\) और \(R = \frac{(x + y)^2 + (x – y)^2}{x^2 – y^2}\) है, तो \((P \div Q) \times R\) क्या है?
- \(2(x^2 + y^2)\)
- \(2xy\)
- \(x^2 + y^2\)
- \(4xy\)
Explanation:
\(\frac{(7.03)^3 – 0.027}{(7.03)^2 + 2.109 + (0.3)^2} = ?\)
- 6.73
- 7.06
- 7
- 7.33
Explanation:
\(\frac{675 \times 675 \times 675 + 325 \times 325 \times 325}{67.5 \times 67.5 – 32.5 \times 67.5 + 32.5 \times 32.5} = ?\)
- 1,000
- 10,000
- 100
- 1,00,000
Explanation:
\(\frac{(0.321)^3 + (0.456)^3 – (0.777)^3}{0.9 \times (0.107)(0.76)(0.777)} = ?\)
- -6
- 60
- -3
- 30
Explanation:
\(\frac{(0.013)^3 + (0.007)(0.000049)}{(0.007)^2 + 0.013(0.013 – 0.007)} = ?\)
- 0.02
- 0.06
- 0.04
- 0.07
Explanation:
\(\frac{\sqrt[3]{-2744} \times \sqrt[3]{-216}}{\sqrt[3]{\frac{64}{729}}} = ?\)
- 189
- 164
- 152
- 156
Explanation:
यदि \(A = \frac{(0.1)^3 + (0.2)^3 + (0.3)^3 + 3(0.005 + 0.016 + 0.027) + 0.036}{(0.1)^2 + (0.2)^2 + (0.3)^2 + 0.04 + 0.06 + 0.12}\) है, तो \(60A\) का मान:
- 36
- 20
- 60
- 30
Explanation:
\(\frac{(2.01 \times 2.01 \times 2.01) + (39.75 \times 39.75 \times 39.75) + (28.24 \times 28.24 \times 28.24) – 3(2.01 \times 39.75 \times 28.24)}{(2.01 \times 2.01) + (39.75 \times 39.75) + (28.24 \times 28.24) – (2.01 \times 39.75) – (39.75 \times 28.24) – (28.24 \times 2.01)}\)
- 70
- 140
- 50
- 100
Explanation:
\(\frac{(3.321)^3 + (2.681)^3 + (1.245)^3 – 3 \times 3.321 \times 2.681 \times 1.245}{(3.321)^2 + (2.681)^2 + (1.245)^2 – (3.321 \times 2.681) – (2.681 \times 1.245) – (1.245 \times 3.321)}\)
- 7.247
- 10.245
- 8.645
- 6.125
Explanation:
\(\frac{(80 \times 80 \times 80) + (70 \times 70 \times 70) + (50 \times 50 \times 50) – 840000}{6400 + 4900 + 2500 – 5600 – 3500 – 4000} = ?\)
- 200
- 100
- 300
- 400
Explanation:
‘\(y\)’ का कौन सा मान निम्नलिखित समीकरण को संतुष्ट करेगा? \(\cfrac{3y}{1 + \cfrac{1}{1 + \cfrac{y}{1 – y}}} = 2\)
- \(\frac{4}{5}\)
- \(\frac{2}{3}\)
- \(\frac{5}{4}\)
- \(\frac{3}{2}\)
Explanation:
यदि \(A + \cfrac{1}{1 + \cfrac{1}{2 + \frac{1}{3}}} = \frac{9}{10}\) तो \(A\) का मान है:
- \(\frac{1}{5}\)
- \(\frac{3}{10}\)
- \(\frac{2}{5}\)
- \(\frac{1}{10}\)
Explanation:
\(\left\{\left(4 – \cfrac{2}{1 + \cfrac{2}{1 – \cfrac{1}{2 + \frac{3}{4}}}}\right) \div 1\frac{5}{12} \text{ का } \frac{72}{145} – (4 + 3 \div 0.5 – 1)\right\}\) का सरलीकृत मान क्या है?
- -4
- 1
- 3
- -2
Explanation:
\(\left[\left\{\left(3 – \cfrac{2}{1 + \cfrac{1}{4 + \frac{2}{3}}}\right) \text{ का } \frac{13}{21} \div 3\frac{2}{7}\right\} – \frac{1}{3}\right] \times \frac{9}{10} = ?\)
- \(\frac{3}{10}\)
- 1
- \(\frac{1}{5}\)
- 2
Explanation:
\(\frac{\sqrt{1.24} \times \sqrt{2.79}}{\sqrt{2.64} \times \sqrt{5.94}} = ?\)
- \(\frac{31}{66}\)
- \(\frac{31}{44}\)
- \(\frac{33}{64}\)
- \(\frac{33}{31}\)
Explanation:
\(\left[\frac{1}{8} + \left\{\frac{1}{6} \times \left(\frac{36}{45} \div \frac{24}{25}\right) – \left(\frac{12}{21} \times \frac{14}{15} \div \frac{24}{45}\right)\right\}\right] + \frac{27}{36} = ?\)
- \(\frac{1}{72}\)
- \(\frac{1}{27}\)
- \(\frac{1}{108}\)
- \(\frac{1}{36}\)
Explanation:
\(\sqrt{625} + \sqrt{\frac{625}{100}} + \sqrt{\frac{625}{10000}} + \sqrt{\frac{625}{1000000}}\)
- 27.775
- 27.025
- 27.075
- 27.75
Explanation:
\(\left(\sqrt[3]{\sqrt[3]{343}}\right)^3 \times \left(\sqrt[3]{\sqrt[3]{216}}\right)^3 = ?\)
- 42
- \(42^3\)
- 56
- \(\sqrt[3]{42}\)
Explanation:
यदि \(P = \frac{x^4 – 8x}{x^3 – x^2 – 2x}\), \(Q = \frac{x^2 + 2x + 1}{x^2 – 4x – 5}\) और \(R = \frac{2x^2 + 4x + 8}{x – 5}\), तो \((P \times Q) \div R\) बराबर है:
- \(\frac{1}{2}\)
- 1
- 2
- 4
Explanation:
\(\frac{x^2(x – 4)^2}{(x + 4)^2 – 4x} \div \frac{(x^2 – 4x)^3}{(x + 4)^2} \times \frac{64 – x^3}{16 – x^2}\)
- \(\frac{x + 4}{x(x – 4)}\)
- \(\frac{x – 4}{x + 4}\)
- \(\frac{x + 4}{x(4 – x)}\)
- \(\frac{x + 4}{x – 4}\)
Explanation:
\((a + b + 2c)\) का गुणनफल ज्ञात कीजिए \((a^2 + b^2 + 4c^2 – ab – 2bc – 2ca)\)।
- \(a^3 + b^3 + 8c^3 – 6abc\)
- \(a^3 + b^3 + 8c^3 – abc\)
- \(a^3 + b^3 + 8c^3 – 2abc\)
- \(a^3 + b^3 + c^3 – 6abc\)
Explanation:
यदि \(x\) का मान क्या \(5\left(1 – \frac{x}{5}\right) – (5 – x) – \frac{1}{200}\) का \((20 – x) = 0.08\) है?
- 36
- 9
- 18
- 24
Explanation:
\(3 + 3^2 + 3^3 + \cdots + 3^8\) का योग ज्ञात कीजिए।
- 9840
- 6561
- 6560
- 3280
Explanation:
\(\frac{4^{a+4} – 5 \times 4^{a+2}}{15 \times 4^a – 2^2 \times 4^a}\) दी गई अभिव्यक्ति का मान क्या है?
- 16
- 64
- 20
- 24
Explanation:
एक छात्र से \(\frac{\left[\frac{4}{9} \div \left(\frac{3}{5} \div \frac{3}{2}\right) \times \frac{9}{25}\right] \times \left[\frac{2}{3} \text{ का } \frac{4}{9} \div \left(3 \times \frac{3}{5} \text{ का } \frac{4}{5}\right)\right]}{\frac{2}{3} \div \frac{3}{4} \text{ का } \frac{5}{6}}\) का मान ज्ञात करने के लिए कहा गया। उसका उत्तर \(\frac{2}{9}\) था। उसके उत्तर और सही उत्तर में क्या अंतर है?
- \(\frac{47}{324}\)
- \(\frac{1}{4}\)
- \(\frac{1}{6}\)
- \(\frac{1}{24}\)
Explanation:
एक छात्र से \(\frac{\left(2\frac{1}{4} + 2\frac{1}{2} – \frac{1}{6}\right) \div \frac{2}{3} \times 5\frac{2}{3} + 1\frac{2}{3} \text{ का } 4\frac{1}{4}}{3\frac{1}{5} + 4\frac{1}{4} \text{ का } 5\frac{1}{3} + 5\frac{2}{3} \times \frac{3}{4} + 2\frac{2}{3}}\) का मान ज्ञात करने के लिए कहा गया। उसका उत्तर \(\frac{6}{7}\) था। सही उत्तर और उसके उत्तर में क्या अंतर है?
- \(\frac{6}{49}\)
- \(\frac{9}{14}\)
- \(\frac{5}{14}\)
- \(\frac{11}{49}\)
Explanation:
एक परीक्षा में प्रत्येक सही उत्तर के लिए (+5) अंक दिए जाते हैं और प्रत्येक गलत उत्तर के लिए (-2) अंक दिए जाते हैं। जय ने सभी प्रश्नों के उत्तर दिए और (-12) अंक प्राप्त किए, हालाँकि उसके 4 उत्तर सही थे। उसके कितने उत्तर गलत थे?
- 16
- 8
- 32
- 20
Explanation:
नीचे दिए गए समीकरण में ‘\(a\)’ का मान क्या है? \(\{(5 \times 5 \times 5 \times 5 \times 5 \times 5)^{5x} \times (5 \times 5 \times 5 \times 5 \times 5)^{8}\} \div (5 \times 5)^{x} = (625)^{a}\)
- 17
- 14
- 16
- 15
Explanation:
यदि \(x = \frac{1}{12 \times 13} + \frac{1}{13 \times 14} + \frac{1}{14 \times 15} + \cdots + \frac{1}{23 \times 24}\), \(y = \frac{1}{36 \times 37} + \frac{1}{37 \times 38} + \cdots + \frac{1}{71 \times 72}\) तो \(\frac{x}{y}\) बराबर है:
- 3
- \(\frac{1}{3}\)
- \(\frac{1}{24}\)
- \(\frac{1}{72}\)
Explanation:
\(\frac{0.01404}{24^2 + 6^2 – 144} = ?\)
- \(3 \times 10^{-5}\)
- \(6 \times 10^{-5}\)
- \(2.4 \times 10^{-4}\)
- \(3 \times 10^{-4}\)
Explanation:
यदि \(\frac{10}{7}(1 – 2.43 \times 10^{-3}) = 1.417 + x\), तो \(x\) बराबर है:
- 0.0081
- 0.0417
- 0.417
- 0.81
Explanation:
\(\frac{(132 \div 12 \times x – 3 \times 3)}{(5^2 – 6 \times 4 + x^2)}\) के स्थान पर क्या आएगा \(x\) (\(x < 10\)) जहां = 1 है?
- 1
- 2
- 4
- 3
Explanation:
यदि \(x\) उस संख्या का वर्ग है जब \(1\frac{2}{7}\) का \(\left(\frac{2}{5} \text{ का } 6\frac{1}{4} + \frac{3}{7}\right)\) को \(11\frac{1}{4}\) से विभाजित किया जाता है, तो \(81x\) का मान है:
- 36
- 16
- 9
- 4
Explanation:
\(1 + 3 + 5 + 7 + \cdots\cdots (2n – 1)\) का मान है:
- \(n \times n\)
- \((2n – 1) \times (2n – 1)\)
- \(\frac{n}{2}\)
- \(\frac{n(n+1)}{2}\)
Explanation:
यदि \((2a + 3b)(2c – 3d) = (2a – 3b)(2c + 3d)\), तब:
- \(\frac{a}{b} = \frac{c}{d}\)
- \(\frac{a}{b} = \frac{d}{c}\)
- \(\frac{a}{d} = \frac{c}{b}\)
- \(\frac{b}{a} = \frac{c}{d}\)
Explanation:
यदि \(1.5x = 0.04y\), तो \(\frac{y – x}{y + x}\) का मान क्या होगा?
- \(\frac{73}{77}\)
- \(\frac{77}{73}\)
- \(\frac{77}{72}\)
- \(\frac{77}{77}\)
Explanation:
यदि \(A = \frac{18 \div 9 \times 4}{15 \div 3 \times 5}\) और \(B = \frac{18 \div 36 \times 3 + 5 \times 1 – 6}{18 \div 6 \times 20 – 3 \times 4 + 12}\), तो \((A + B)\) का मान क्या है?
- \(\frac{197}{600}\)
- \(\frac{137}{600}\)
- \(\frac{23}{100}\)
- \(\frac{187}{600}\)
Explanation:
व्यंजक \(1 – 2 + 3 – 4 + 5 – 6 \cdots\cdots\) 100 पदों तक मान क्या है?
- -50
- -55
- -49
- -60
Explanation:
\(98^2 – 97^2 + 96^2 – 95^2 + \cdots\cdots + 12^2 – 11^2 = ?\)
- 4796
- 4725
- 4851
- 4926
Explanation:
\(4^2 – 3^2 + 6^2 – 5^2 + 8^2 – 7^2 + \cdots\cdots + 92^2 – 91^2\) ?
- 4275
- 4272
- 4280
- 4278
Explanation:
श्रृंखला \(-9, -6, -3, \ldots\) के कितने पद लिए जाने चाहिए ताकि सभी पदों का योग 45 हो?
- 10
- 11
- 8
- 9
Explanation:
व्यंजक \(1 – 7 + 2 – 8 + 3 – 9 + 4 – 10 + \cdots\cdots\) का 100 पदों तक मान क्या है?
- -300
- -200
- -360
- -240
Explanation:
\(\frac{\sqrt{3} + \sqrt{2}}{\sqrt{3} – \sqrt{2}}\) का मूल्यांकन करें, दिया गया कि \(\sqrt{6} = 2.45\)
- 9.9
- 8.8
- 7.7
- 6.6
Explanation:
यदि \(x\) एक धनात्मक राशि है, तो \(3x\) का मान क्या होगा, यदि \(0.4\overline{23} – 0.2\) का \(52.5 \div 0.84 = x^2 – (0.0\overline{21} + 12.5)\)?
- 2
- \(\frac{1}{4}\)
- \(\frac{1}{2}\)
- 1
Explanation:
\(x\) का मान ज्ञात कीजिए, यदि \((3 \times 22) \div (5^2 + 2^3) – 2^x = -30\)
- 5
- 6
- 3
- 4
Explanation: