മൂന്ന് സംഖ്യകൾ 1 ∶ 2 ∶ 5 എന്ന അനുപാതത്തിലാണ്, അവയുടെ ലസാഗു 1600 ആണ്. സംഖ്യകളുടെ ഉസാഘ കണ്ടെത്തുക.

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RRB Group D 1 Sept 2022 Shift 2 Official Paper
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  1. 320
  2. 800
  3. 160
  4. 480

Answer (Detailed Solution Below)

Option 3 : 160
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നൽകിയത്:

സംഖ്യകൾ 1 : 2 : 5 എന്ന അംശബന്ധത്തിലാണ് 

സംഖ്യകളുടെ LCM = 1600

കണക്കുകൂട്ടൽ:

സംഖ്യകൾ 1x, 2x, 5x എന്നിങ്ങനെയായിരിക്കട്ടെ.

(1x, 2x, 5x) എന്നിവയുടെ ലസാഗു = 1 x 2 x 5 x (x)

⇒ 10x

ചോദ്യമനുസരിച്ച്, 10x = 1600

⇒ x = 1600/10

⇒ x = 160

അതിനാൽ, സംഖ്യകൾ 160, 320, 800 ആണ്

ഇപ്പോൾ,

160 = 25 x 5

320 = 26 x 5

800 = 25 x 52

അതിനാൽ, ഉസാഘ = 25 x 5 = 160

അതിനാൽ, മൂന്ന് സംഖ്യകളുടെ ഉസാഘ 160 ആണ്.

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