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if \(a, b, c\) and \(d\) are positive integers and \(\frac{a}{b} < \frac{c}{d}\), which of the following must be true? i. \(\frac{a+c}{b+d} < \frac{c}{d}\) II. \(\frac{a+c}{b+d} < \frac{a}{b}\) III. \(\frac{a+c}{b+d} = \frac{a}{b} + \frac{c}{d}\)

None

i only

ii only

i and ii

DU2022অসমতাউচ্চতর গণিত দ্বিতীয় পত্রবাস্তব সংখ্যাIBA

if \(a, b, c\) and \(d\) are positive integers and \(\frac{a}{b} < \frac{c}{d}\), which of the following must be true? i. \(\frac{a+c}{b+d} < \frac{c}{d}\) II. \(\frac{a+c}{b+d} < \frac{a}{b}\) III. \(\frac{a+c}{b+d} = \frac{a}{b} + \frac{c}{d}\)

None

i only

ii only

i and ii

DU2022অসমতাউচ্চতর গণিত দ্বিতীয় পত্রবাস্তব সংখ্যাIBA

if \(a, b, c\) and \(d\) are positive integers and \(\frac{a}{b} < \frac{c}{d}\), which of the following must be true? i. \(\frac{a+c}{b+d} < \frac{c}{d}\) II. \(\frac{a+c}{b+d} < \frac{a}{b}\) III. \(\frac{a+c}{b+d} = \frac{a}{b} + \frac{c}{d}\)

None

i only

ii only

i and ii

DU2022অসমতাউচ্চতর গণিত দ্বিতীয় পত্রবাস্তব সংখ্যাIBA

if \(a, b, c\) and \(d\) are positive integers and \(\frac{a}{b} < \frac{c}{d}\), which of the following must be true? i. \(\frac{a+c}{b+d} < \frac{c}{d}\) II. \(\frac{a+c}{b+d} < \frac{a}{b}\) III. \(\frac{a+c}{b+d} = \frac{a}{b} + \frac{c}{d}\)

None

i only

ii only

i and ii

DU2022অসমতাউচ্চতর গণিত দ্বিতীয় পত্রবাস্তব সংখ্যাIBA

if \(a, b, c\) and \(d\) are positive integers and \(\frac{a}{b} < \frac{c}{d}\), which of the following must be true? i. \(\frac{a+c}{b+d} < \frac{c}{d}\) II. \(\frac{a+c}{b+d} < \frac{a}{b}\) III. \(\frac{a+c}{b+d} = \frac{a}{b} + \frac{c}{d}\)

None

i only

ii only

i and ii

DU2022অসমতাউচ্চতর গণিত দ্বিতীয় পত্রবাস্তব সংখ্যাIBA

if \(a, b, c\) and \(d\) are positive integers and \(\frac{a}{b} < \frac{c}{d}\), which of the following must be true? i. \(\frac{a+c}{b+d} < \frac{c}{d}\) II. \(\frac{a+c}{b+d} < \frac{a}{b}\) III. \(\frac{a+c}{b+d} = \frac{a}{b} + \frac{c}{d}\)

None

i only

ii only

i and ii

DU2022অসমতাউচ্চতর গণিত দ্বিতীয় পত্রবাস্তব সংখ্যাIBA

if \(a, b, c\) and \(d\) are positive integers and \(\frac{a}{b} < \frac{c}{d}\), which of the following must be true? i. \(\frac{a+c}{b+d} < \frac{c}{d}\) II. \(\frac{a+c}{b+d} < \frac{a}{b}\) III. \(\frac{a+c}{b+d} = \frac{a}{b} + \frac{c}{d}\)

None

i only

ii only

i and ii

DU2022অসমতাউচ্চতর গণিত দ্বিতীয় পত্রবাস্তব সংখ্যাIBA

if \(a, b, c\) and \(d\) are positive integers and \(\frac{a}{b} < \frac{c}{d}\), which of the following must be true? i. \(\frac{a+c}{b+d} < \frac{c}{d}\) II. \(\frac{a+c}{b+d} < \frac{a}{b}\) III. \(\frac{a+c}{b+d} = \frac{a}{b} + \frac{c}{d}\)

None

i only

ii only

i and ii

DU2022অসমতাউচ্চতর গণিত দ্বিতীয় পত্রবাস্তব সংখ্যাIBA

if \(a, b, c\) and \(d\) are positive integers and \(\frac{a}{b} < \frac{c}{d}\), which of the following must be true? i. \(\frac{a+c}{b+d} < \frac{c}{d}\) II. \(\frac{a+c}{b+d} < \frac{a}{b}\) III. \(\frac{a+c}{b+d} = \frac{a}{b} + \frac{c}{d}\)

None

i only

ii only

i and ii

DU2022অসমতাউচ্চতর গণিত দ্বিতীয় পত্রবাস্তব সংখ্যাIBA

if \(a, b, c\) and \(d\) are positive integers and \(\frac{a}{b} < \frac{c}{d}\), which of the following must be true? i. \(\frac{a+c}{b+d} < \frac{c}{d}\) II. \(\frac{a+c}{b+d} < \frac{a}{b}\) III. \(\frac{a+c}{b+d} = \frac{a}{b} + \frac{c}{d}\)

None

i only

ii only

i and ii

DU2022অসমতাউচ্চতর গণিত দ্বিতীয় পত্রবাস্তব সংখ্যাIBA

if \(a, b, c\) and \(d\) are positive integers and \(\frac{a}{b} < \frac{c}{d}\), which of the following must be true? i. \(\frac{a+c}{b+d} < \frac{c}{d}\) II. \(\frac{a+c}{b+d} < \frac{a}{b}\) III. \(\frac{a+c}{b+d} = \frac{a}{b} + \frac{c}{d}\)

None

i only

ii only

i and ii

DU2022অসমতাউচ্চতর গণিত দ্বিতীয় পত্রবাস্তব সংখ্যাIBA

if \(a, b, c\) and \(d\) are positive integers and \(\frac{a}{b} < \frac{c}{d}\), which of the following must be true? i. \(\frac{a+c}{b+d} < \frac{c}{d}\) II. \(\frac{a+c}{b+d} < \frac{a}{b}\) III. \(\frac{a+c}{b+d} = \frac{a}{b} + \frac{c}{d}\)

None

i only

ii only

i and ii

DU2022অসমতাউচ্চতর গণিত দ্বিতীয় পত্রবাস্তব সংখ্যাIBA

if \(a, b, c\) and \(d\) are positive integers and \(\frac{a}{b} < \frac{c}{d}\), which of the following must be true? i. \(\frac{a+c}{b+d} < \frac{c}{d}\) II. \(\frac{a+c}{b+d} < \frac{a}{b}\) III. \(\frac{a+c}{b+d} = \frac{a}{b} + \frac{c}{d}\)

None

i only

ii only

i and ii

DU2022অসমতাউচ্চতর গণিত দ্বিতীয় পত্রবাস্তব সংখ্যাIBA

if \(a, b, c\) and \(d\) are positive integers and \(\frac{a}{b} < \frac{c}{d}\), which of the following must be true? i. \(\frac{a+c}{b+d} < \frac{c}{d}\) II. \(\frac{a+c}{b+d} < \frac{a}{b}\) III. \(\frac{a+c}{b+d} = \frac{a}{b} + \frac{c}{d}\)

None

i only

ii only

i and ii

DU2022অসমতাউচ্চতর গণিত দ্বিতীয় পত্রবাস্তব সংখ্যাIBA

if \(a, b, c\) and \(d\) are positive integers and \(\frac{a}{b} < \frac{c}{d}\), which of the following must be true? i. \(\frac{a+c}{b+d} < \frac{c}{d}\) II. \(\frac{a+c}{b+d} < \frac{a}{b}\) III. \(\frac{a+c}{b+d} = \frac{a}{b} + \frac{c}{d}\)

None

i only

ii only

i and ii

DU2022অসমতাউচ্চতর গণিত দ্বিতীয় পত্রবাস্তব সংখ্যাIBA

if \(a, b, c\) and \(d\) are positive integers and \(\frac{a}{b} < \frac{c}{d}\), which of the following must be true? i. \(\frac{a+c}{b+d} < \frac{c}{d}\) II. \(\frac{a+c}{b+d} < \frac{a}{b}\) III. \(\frac{a+c}{b+d} = \frac{a}{b} + \frac{c}{d}\)

None

i only

ii only

i and ii

DU2022অসমতাউচ্চতর গণিত দ্বিতীয় পত্রবাস্তব সংখ্যাIBA

if \(a, b, c\) and \(d\) are positive integers and \(\frac{a}{b} < \frac{c}{d}\), which of the following must be true? i. \(\frac{a+c}{b+d} < \frac{c}{d}\) II. \(\frac{a+c}{b+d} < \frac{a}{b}\) III. \(\frac{a+c}{b+d} = \frac{a}{b} + \frac{c}{d}\)

None

i only

ii only

i and ii

DU2022অসমতাউচ্চতর গণিত দ্বিতীয় পত্রবাস্তব সংখ্যাIBA

if \(a, b, c\) and \(d\) are positive integers and \(\frac{a}{b} < \frac{c}{d}\), which of the following must be true? i. \(\frac{a+c}{b+d} < \frac{c}{d}\) II. \(\frac{a+c}{b+d} < \frac{a}{b}\) III. \(\frac{a+c}{b+d} = \frac{a}{b} + \frac{c}{d}\)

None

i only

ii only

i and ii

DU2022অসমতাউচ্চতর গণিত দ্বিতীয় পত্রবাস্তব সংখ্যাIBA

if \(a, b, c\) and \(d\) are positive integers and \(\frac{a}{b} < \frac{c}{d}\), which of the following must be true? i. \(\frac{a+c}{b+d} < \frac{c}{d}\) II. \(\frac{a+c}{b+d} < \frac{a}{b}\) III. \(\frac{a+c}{b+d} = \frac{a}{b} + \frac{c}{d}\)

None

i only

ii only

i and ii

DU2022অসমতাউচ্চতর গণিত দ্বিতীয় পত্রবাস্তব সংখ্যাIBA

if \(a, b, c\) and \(d\) are positive integers and \(\frac{a}{b} < \frac{c}{d}\), which of the following must be true? i. \(\frac{a+c}{b+d} < \frac{c}{d}\) II. \(\frac{a+c}{b+d} < \frac{a}{b}\) III. \(\frac{a+c}{b+d} = \frac{a}{b} + \frac{c}{d}\)

None

i only

ii only

i and ii

DU2022অসমতাউচ্চতর গণিত দ্বিতীয় পত্রবাস্তব সংখ্যাIBA

if \(a, b, c\) and \(d\) are positive integers and \(\frac{a}{b} < \frac{c}{d}\), which of the following must be true? i. \(\frac{a+c}{b+d} < \frac{c}{d}\) II. \(\frac{a+c}{b+d} < \frac{a}{b}\) III. \(\frac{a+c}{b+d} = \frac{a}{b} + \frac{c}{d}\)

None

i only

ii only

i and ii

DU2022অসমতাউচ্চতর গণিত দ্বিতীয় পত্রবাস্তব সংখ্যাIBA

if \(a, b, c\) and \(d\) are positive integers and \(\frac{a}{b} < \frac{c}{d}\), which of the following must be true? i. \(\frac{a+c}{b+d} < \frac{c}{d}\) II. \(\frac{a+c}{b+d} < \frac{a}{b}\) III. \(\frac{a+c}{b+d} = \frac{a}{b} + \frac{c}{d}\)

None

i only

ii only

i and ii

DU2022অসমতাউচ্চতর গণিত দ্বিতীয় পত্রবাস্তব সংখ্যাIBA

if \(a, b, c\) and \(d\) are positive integers and \(\frac{a}{b} < \frac{c}{d}\), which of the following must be true? i. \(\frac{a+c}{b+d} < \frac{c}{d}\) II. \(\frac{a+c}{b+d} < \frac{a}{b}\) III. \(\frac{a+c}{b+d} = \frac{a}{b} + \frac{c}{d}\)

None

i only

ii only

i and ii

DU2022অসমতাউচ্চতর গণিত দ্বিতীয় পত্রবাস্তব সংখ্যাIBA

if \(a, b, c\) and \(d\) are positive integers and \(\frac{a}{b} < \frac{c}{d}\), which of the following must be true? i. \(\frac{a+c}{b+d} < \frac{c}{d}\) II. \(\frac{a+c}{b+d} < \frac{a}{b}\) III. \(\frac{a+c}{b+d} = \frac{a}{b} + \frac{c}{d}\)

None

i only

ii only

i and ii

DU2022অসমতাউচ্চতর গণিত দ্বিতীয় পত্রবাস্তব সংখ্যাIBA

if \(a, b, c\) and \(d\) are positive integers and \(\frac{a}{b} < \frac{c}{d}\), which of the following must be true? i. \(\frac{a+c}{b+d} < \frac{c}{d}\) II. \(\frac{a+c}{b+d} < \frac{a}{b}\) III. \(\frac{a+c}{b+d} = \frac{a}{b} + \frac{c}{d}\)

None

i only

ii only

i and ii

DU2022অসমতাউচ্চতর গণিত দ্বিতীয় পত্রবাস্তব সংখ্যাIBA

if \(a, b, c\) and \(d\) are positive integers and \(\frac{a}{b} < \frac{c}{d}\), which of the following must be true? i. \(\frac{a+c}{b+d} < \frac{c}{d}\) II. \(\frac{a+c}{b+d} < \frac{a}{b}\) III. \(\frac{a+c}{b+d} = \frac{a}{b} + \frac{c}{d}\)

None

i only

ii only

i and ii

DU2022অসমতাউচ্চতর গণিত দ্বিতীয় পত্রবাস্তব সংখ্যাIBA

if \(a, b, c\) and \(d\) are positive integers and \(\frac{a}{b} < \frac{c}{d}\), which of the following must be true? i. \(\frac{a+c}{b+d} < \frac{c}{d}\) II. \(\frac{a+c}{b+d} < \frac{a}{b}\) III. \(\frac{a+c}{b+d} = \frac{a}{b} + \frac{c}{d}\)

None

i only

ii only

i and ii

DU2022অসমতাউচ্চতর গণিত দ্বিতীয় পত্রবাস্তব সংখ্যাIBA

if \(a, b, c\) and \(d\) are positive integers and \(\frac{a}{b} < \frac{c}{d}\), which of the following must be true? i. \(\frac{a+c}{b+d} < \frac{c}{d}\) II. \(\frac{a+c}{b+d} < \frac{a}{b}\) III. \(\frac{a+c}{b+d} = \frac{a}{b} + \frac{c}{d}\)

None

i only

ii only

i and ii

DU2022অসমতাউচ্চতর গণিত দ্বিতীয় পত্রবাস্তব সংখ্যাIBA

if \(a, b, c\) and \(d\) are positive integers and \(\frac{a}{b} < \frac{c}{d}\), which of the following must be true? i. \(\frac{a+c}{b+d} < \frac{c}{d}\) II. \(\frac{a+c}{b+d} < \frac{a}{b}\) III. \(\frac{a+c}{b+d} = \frac{a}{b} + \frac{c}{d}\)

None

i only

ii only

i and ii

DU2022অসমতাউচ্চতর গণিত দ্বিতীয় পত্রবাস্তব সংখ্যাIBA

if \(a, b, c\) and \(d\) are positive integers and \(\frac{a}{b} < \frac{c}{d}\), which of the following must be true? i. \(\frac{a+c}{b+d} < \frac{c}{d}\) II. \(\frac{a+c}{b+d} < \frac{a}{b}\) III. \(\frac{a+c}{b+d} = \frac{a}{b} + \frac{c}{d}\)

None

i only

ii only

i and ii

DU2022অসমতাউচ্চতর গণিত দ্বিতীয় পত্রবাস্তব সংখ্যাIBA

if \(a, b, c\) and \(d\) are positive integers and \(\frac{a}{b} < \frac{c}{d}\), which of the following must be true? i. \(\frac{a+c}{b+d} < \frac{c}{d}\) II. \(\frac{a+c}{b+d} < \frac{a}{b}\) III. \(\frac{a+c}{b+d} = \frac{a}{b} + \frac{c}{d}\)

None

i only

ii only

i and ii

DU2022অসমতাউচ্চতর গণিত দ্বিতীয় পত্রবাস্তব সংখ্যাIBA

if \(a, b, c\) and \(d\) are positive integers and \(\frac{a}{b} < \frac{c}{d}\), which of the following must be true? i. \(\frac{a+c}{b+d} < \frac{c}{d}\) II. \(\frac{a+c}{b+d} < \frac{a}{b}\) III. \(\frac{a+c}{b+d} = \frac{a}{b} + \frac{c}{d}\)

None

i only

ii only

i and ii

DU2022অসমতাউচ্চতর গণিত দ্বিতীয় পত্রবাস্তব সংখ্যাIBA

if \(a, b, c\) and \(d\) are positive integers and \(\frac{a}{b} < \frac{c}{d}\), which of the following must be true? i. \(\frac{a+c}{b+d} < \frac{c}{d}\) II. \(\frac{a+c}{b+d} < \frac{a}{b}\) III. \(\frac{a+c}{b+d} = \frac{a}{b} + \frac{c}{d}\)

None

i only

ii only

i and ii

DU2022অসমতাউচ্চতর গণিত দ্বিতীয় পত্রবাস্তব সংখ্যাIBA

if \(a, b, c\) and \(d\) are positive integers and \(\frac{a}{b} < \frac{c}{d}\), which of the following must be true? i. \(\frac{a+c}{b+d} < \frac{c}{d}\) II. \(\frac{a+c}{b+d} < \frac{a}{b}\) III. \(\frac{a+c}{b+d} = \frac{a}{b} + \frac{c}{d}\)

None

i only

ii only

i and ii

DU2022অসমতাউচ্চতর গণিত দ্বিতীয় পত্রবাস্তব সংখ্যাIBA

if \(a, b, c\) and \(d\) are positive integers and \(\frac{a}{b} < \frac{c}{d}\), which of the following must be true? i. \(\frac{a+c}{b+d} < \frac{c}{d}\) II. \(\frac{a+c}{b+d} < \frac{a}{b}\) III. \(\frac{a+c}{b+d} = \frac{a}{b} + \frac{c}{d}\)

None

i only

ii only

i and ii

DU2022অসমতাউচ্চতর গণিত দ্বিতীয় পত্রবাস্তব সংখ্যাIBA

if \(a, b, c\) and \(d\) are positive integers and \(\frac{a}{b} < \frac{c}{d}\), which of the following must be true? i. \(\frac{a+c}{b+d} < \frac{c}{d}\) II. \(\frac{a+c}{b+d} < \frac{a}{b}\) III. \(\frac{a+c}{b+d} = \frac{a}{b} + \frac{c}{d}\)

None

i only

ii only

i and ii

DU2022অসমতাউচ্চতর গণিত দ্বিতীয় পত্রবাস্তব সংখ্যাIBA

if \(a, b, c\) and \(d\) are positive integers and \(\frac{a}{b} < \frac{c}{d}\), which of the following must be true? i. \(\frac{a+c}{b+d} < \frac{c}{d}\) II. \(\frac{a+c}{b+d} < \frac{a}{b}\) III. \(\frac{a+c}{b+d} = \frac{a}{b} + \frac{c}{d}\)

None

i only

ii only

i and ii

DU2022অসমতাউচ্চতর গণিত দ্বিতীয় পত্রবাস্তব সংখ্যাIBA

if \(a, b, c\) and \(d\) are positive integers and \(\frac{a}{b} < \frac{c}{d}\), which of the following must be true? i. \(\frac{a+c}{b+d} < \frac{c}{d}\) II. \(\frac{a+c}{b+d} < \frac{a}{b}\) III. \(\frac{a+c}{b+d} = \frac{a}{b} + \frac{c}{d}\)

None

i only

ii only

i and ii

DU2022অসমতাউচ্চতর গণিত দ্বিতীয় পত্রবাস্তব সংখ্যাIBA

if \(a, b, c\) and \(d\) are positive integers and \(\frac{a}{b} < \frac{c}{d}\), which of the following must be true? i. \(\frac{a+c}{b+d} < \frac{c}{d}\) II. \(\frac{a+c}{b+d} < \frac{a}{b}\) III. \(\frac{a+c}{b+d} = \frac{a}{b} + \frac{c}{d}\)

None

i only

ii only

i and ii

DU2022অসমতাউচ্চতর গণিত দ্বিতীয় পত্রবাস্তব সংখ্যাIBA

if \(a, b, c\) and \(d\) are positive integers and \(\frac{a}{b} < \frac{c}{d}\), which of the following must be true? i. \(\frac{a+c}{b+d} < \frac{c}{d}\) II. \(\frac{a+c}{b+d} < \frac{a}{b}\) III. \(\frac{a+c}{b+d} = \frac{a}{b} + \frac{c}{d}\)

None

i only

ii only

i and ii

DU2022অসমতাউচ্চতর গণিত দ্বিতীয় পত্রবাস্তব সংখ্যাIBA

if \(a, b, c\) and \(d\) are positive integers and \(\frac{a}{b} < \frac{c}{d}\), which of the following must be true? i. \(\frac{a+c}{b+d} < \frac{c}{d}\) II. \(\frac{a+c}{b+d} < \frac{a}{b}\) III. \(\frac{a+c}{b+d} = \frac{a}{b} + \frac{c}{d}\)

None

i only

ii only

i and ii

DU2022অসমতাউচ্চতর গণিত দ্বিতীয় পত্রবাস্তব সংখ্যাIBA

if \(a, b, c\) and \(d\) are positive integers and \(\frac{a}{b} < \frac{c}{d}\), which of the following must be true? i. \(\frac{a+c}{b+d} < \frac{c}{d}\) II. \(\frac{a+c}{b+d} < \frac{a}{b}\) III. \(\frac{a+c}{b+d} = \frac{a}{b} + \frac{c}{d}\)

None

i only

ii only

i and ii

DU2022অসমতাউচ্চতর গণিত দ্বিতীয় পত্রবাস্তব সংখ্যাIBA

if \(a, b, c\) and \(d\) are positive integers and \(\frac{a}{b} < \frac{c}{d}\), which of the following must be true? i. \(\frac{a+c}{b+d} < \frac{c}{d}\) II. \(\frac{a+c}{b+d} < \frac{a}{b}\) III. \(\frac{a+c}{b+d} = \frac{a}{b} + \frac{c}{d}\)

None

i only

ii only

i and ii

DU2022অসমতাউচ্চতর গণিত দ্বিতীয় পত্রবাস্তব সংখ্যাIBA

if \(a, b, c\) and \(d\) are positive integers and \(\frac{a}{b} < \frac{c}{d}\), which of the following must be true? i. \(\frac{a+c}{b+d} < \frac{c}{d}\) II. \(\frac{a+c}{b+d} < \frac{a}{b}\) III. \(\frac{a+c}{b+d} = \frac{a}{b} + \frac{c}{d}\)

None

i only

ii only

i and ii

DU2022অসমতাউচ্চতর গণিত দ্বিতীয় পত্রবাস্তব সংখ্যাIBA

if \(a, b, c\) and \(d\) are positive integers and \(\frac{a}{b} < \frac{c}{d}\), which of the following must be true? i. \(\frac{a+c}{b+d} < \frac{c}{d}\) II. \(\frac{a+c}{b+d} < \frac{a}{b}\) III. \(\frac{a+c}{b+d} = \frac{a}{b} + \frac{c}{d}\)

None

i only

ii only

i and ii

DU2022অসমতাউচ্চতর গণিত দ্বিতীয় পত্রবাস্তব সংখ্যাIBA

if \(a, b, c\) and \(d\) are positive integers and \(\frac{a}{b} < \frac{c}{d}\), which of the following must be true? i. \(\frac{a+c}{b+d} < \frac{c}{d}\) II. \(\frac{a+c}{b+d} < \frac{a}{b}\) III. \(\frac{a+c}{b+d} = \frac{a}{b} + \frac{c}{d}\)

None

i only

ii only

i and ii

DU2022অসমতাউচ্চতর গণিত দ্বিতীয় পত্রবাস্তব সংখ্যাIBA

if \(a, b, c\) and \(d\) are positive integers and \(\frac{a}{b} < \frac{c}{d}\), which of the following must be true? i. \(\frac{a+c}{b+d} < \frac{c}{d}\) II. \(\frac{a+c}{b+d} < \frac{a}{b}\) III. \(\frac{a+c}{b+d} = \frac{a}{b} + \frac{c}{d}\)

None

i only

ii only

i and ii

DU2022অসমতাউচ্চতর গণিত দ্বিতীয় পত্রবাস্তব সংখ্যাIBA

if \(a, b, c\) and \(d\) are positive integers and \(\frac{a}{b} < \frac{c}{d}\), which of the following must be true? i. \(\frac{a+c}{b+d} < \frac{c}{d}\) II. \(\frac{a+c}{b+d} < \frac{a}{b}\) III. \(\frac{a+c}{b+d} = \frac{a}{b} + \frac{c}{d}\)

None

i only

ii only

i and ii

DU2022অসমতাউচ্চতর গণিত দ্বিতীয় পত্রবাস্তব সংখ্যাIBA

if \(a, b, c\) and \(d\) are positive integers and \(\frac{a}{b} < \frac{c}{d}\), which of the following must be true? i. \(\frac{a+c}{b+d} < \frac{c}{d}\) II. \(\frac{a+c}{b+d} < \frac{a}{b}\) III. \(\frac{a+c}{b+d} = \frac{a}{b} + \frac{c}{d}\)

None

i only

ii only

i and ii

DU2022অসমতাউচ্চতর গণিত দ্বিতীয় পত্রবাস্তব সংখ্যাIBA

if \(a, b, c\) and \(d\) are positive integers and \(\frac{a}{b} < \frac{c}{d}\), which of the following must be true? i. \(\frac{a+c}{b+d} < \frac{c}{d}\) II. \(\frac{a+c}{b+d} < \frac{a}{b}\) III. \(\frac{a+c}{b+d} = \frac{a}{b} + \frac{c}{d}\)

None

i only

ii only

i and ii

DU2022অসমতাউচ্চতর গণিত দ্বিতীয় পত্রবাস্তব সংখ্যাIBA