Continued Fraction questions in bengali with answers Set 1

Continued Fraction questions in bengali with answers. Simplification for competitive exams with solutions. সিঁড়ি ভাঙা অঙ্ক. Siri vanga math. Questions on simplification for competitive exams. is free mock test is designed to help you excel in various competitive exams, including WBCS, WBPSC Miscellaneous Exam, WBPSC School SI, Clerkship, WBP and KP SI, Constable, SSC CGL, CHSL, MTS, CPO, Railway Exams (NTPC, Group D, Assistant Loco Pilot), Bank Exams (IBPS PO, Clerk), and Insurance Exams. Enhance your skills with the previous year's question papers, all aimed at boosting your performance in upcoming WBPSC exams.

Continued Fraction questions in bengali with answers Set 1

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Q1. \(\frac{1}{3+\frac{1}{2-\frac{1}{\frac{7}{9}}}}+\frac{17}{22}\) = ?

A. \(1\)

B. \(\frac{12}{23}\)

C. \(\frac{22}{5}\)

D. \(\frac{5}{22}\)

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Q2. \(\frac{2\frac{1}{3}-1\frac{2}{11}}{3+\frac{1}{3+\frac{1}{3+\frac{1}{3}}}}\) = ?

A. \(\frac{35}{109}\)

B. \(\frac{109}{38}\)

C. \(1\)

D. \(\frac{116}{109}\)

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Q3. \(1-\frac{a}{1-\frac{1}{1+\frac{a}{1-a}}}\) = ?

A. \(a\)

B. \((1-a)\)

C. \(1\)

D. \(0\)

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Q4. \(\frac{9}{3\times\frac{1}{3\times\frac{1}{3\times\frac{1}{1-\frac{1}{3}}}}}\) = ?

A. 2

B. 3

C. 4

D. 1

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Q5. \(\frac{16}{8\div\frac{1}{4\div\frac{1}{3\div\frac{1}{1-\frac{1}{3}}}}}\) = ?

A. \(¼\)

B. \(½\)

C. \(⅓\)

D. \(⅕\)

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Q6. \(x=1+\frac{1}{1+\frac{1}{1+\frac{1}{1+\frac{1}{2}}}}\) হলে, \(2x+\frac{3}{4}\) = ?

A. 3

B. 4

C. 5

D. 6

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Q7. \(\frac{2+2\times2}{2\times2+2}\times\frac{\frac{1}{2}\div\frac{1}{2}\text{ এর }\frac{1}{2}}{\frac{1}{2}\text{ এর }\frac{1}{2}\div\frac{1}{2}}\) = ?

A. 1

B. 3

C. 2

D. 4

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Q8. সরল করো: \(\frac{\frac{1}{2}\div\frac{3}{4}\div\frac{2}{3}}{2\div4}\div\frac{5}{8}\text{ এর }\frac{4}{5}\) = ?

A. 4

B. 3

C. 2

D. 5

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Q9. \(\frac{2}{3}\times\frac{3}{\frac{5}{6}\div\frac{2}{3}\text{ এর }1\frac{1}{4}}\) = ?

A. 2

B. 1

C. \(½\)

D. \(\frac{2}{3}\)

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Q10. মান নির্ণয় করো: \(\frac{2}{1+\frac{1}{1-\frac{1}{2}}}\times\frac{3}{\frac{5}{6}\text{ এর }\frac{3}{2}\div1\frac{1}{4}}\)

A. 1

B. 2

C. 3

D. 4

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Q11. \(\frac{\frac{1}{3}\div\frac{1}{3}\times\frac{1}{3}}{\frac{1}{3}\div\frac{1}{3}\text{ এর }\frac{1}{3}}-\frac{1}{9}\) = ?

A. 0

B. 1

C. \(⅓\)

D. \(⅑\)

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Q12. \(\frac{3\frac{1}{4}-\frac{4}{5}\text{ এর }\frac{5}{6}}{4\frac{1}{3}\div\frac{1}{5}-(\frac{3}{10}+21\frac{1}{5})}-(1\frac{2}{3}\text{ এর }1\frac{1}{2})\) = ?

A. 9

B. 11½

C. 13

D. 15½

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Q13. সরল করো: \(1+\frac{1}{1+\frac{1}{1+\frac{1}{2}}}\)

A. \(\frac{5}{8}\)

B. \(\frac{8}{5}\)

C. \(1\frac{5}{8}\)

D. \(1\frac{8}{5}\)

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Q14. সরল করো: \(\frac{1}{1-\frac{1}{1-\frac{1}{1-\frac{1}{1-\frac{1}{2}}}}}\)

A. \(½\)

B. \(3\)

C. \(2\)

D. \(⅓\)

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Q15. সরল করো: \(\frac{6}{2\times\frac{1}{2\times\frac{1}{2\times\frac{1}{1-\frac{2}{3}}}}}\)

A. 2

B. 5

C. 1

D. 3

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Q16. সরল করো: \(\frac{4}{2\div\frac{1}{4\div\frac{2}{8\div\frac{1}{1-\frac{7}{8}}}}}\)

A. 1

B. \(½\)

C. 3

D. \(⅓\)

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Q17. \(2=x+\frac{1}{1+\frac{1}{3+\frac{1}{4}}}\) হলে, \(x=\)?

A. \(\frac{18}{17}\)

B. \(\frac{21}{17}\)

C. \(\frac{13}{17}\)

D. \(\frac{12}{17}\)

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Q18. মান নির্ণয় করো: \(1+\frac{4}{2+\frac{3}{5-\frac{1}{2}}}-\frac{1}{2}(10\div2)\)

A. 1

B. 0

C. \(-\frac{1}{2}\)

D. \(-\frac{15}{2}\)

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Q19. \(\frac{2}{3}\div\frac{4}{9}\times7\frac{1}{2}+999\frac{494}{495}\times99\)

A. \(99999\)

B. \(10000\)

C. \(99000\)

D. \(11111\)

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Q20. \(\frac{2\frac{3}{4}}{1\frac{5}{6}}\div\frac{7}{8}\times\left(\frac{1}{3}+\frac{1}{4}\right)+\frac{5}{7}\div\frac{3}{4}\text{ এর }\frac{3}{7}\)

A. \(\frac{56}{77}\)

B. \(\frac{49}{50}\)

C. \(\frac{2}{3}\)

D. \(3\frac{2}{9}\)

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Q21. যদি \(\frac{1}{a+\frac{1}{b+\frac{1}{c+\frac{1}{d+\frac{1}{e}}}}}\) = \(\frac{421}{972}\) হয়, তাহলে \(a \times b \times c \times d \times e\) এর মান কতো?

A. 720

B. 480

C. 360

D. 600

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Q22. যদি \(x=\frac{1}{2+\frac{3}{4+\frac{5}{6+\frac{7}{8+\frac{9}{10}}}}}\) হয়, তাহলে কোনটি সঠিক?

A. \(0<x<0.5\)

B. \(x=0.5\)

C. \(0.5<x<1.0\)

D. \(x>1.0\)

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