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तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएसएसएलसी (अंग्रेजी माध्यम) कक्षा १०

If the H.C.F of 65 and 117 is expressible in the form of 65m – 117, then the value of m is - Mathematics

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प्रश्न

If the H.C.F of 65 and 117 is expressible in the form of 65m – 117, then the value of m is

विकल्प

  • 4

  • 2

  • 1

  • 3

MCQ

उत्तर

2

Explanation;

Hint:

H.C.F of 65 and 117

117 = 65 × 1 + 52

65 = 52 × 1 + 13

52 = 13 × 4 + 0

∴ 13 is the H.C.F. of 65 and 117.

65m – 117 = 65 × 2 – 117

130 – 117 = 13

∴ m = 2

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Euclid’s Division Algorithm
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अध्याय 2: Numbers and Sequences - Exercise 2.10 [पृष्ठ ८२]

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सामाचीर कलवी Mathematics [English] Class 10 SSLC TN Board
अध्याय 2 Numbers and Sequences
Exercise 2.10 | Q 3 | पृष्ठ ८२
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