రెండు సంఖ్యల LCM మరియు HCF మొత్తం 1050 అయితే మరియు వాటి HCF వాటి LCM కంటే 630 తక్కువగా ఉంటే, ఆ రెండు సంఖ్యల లబ్దం ________.

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RRB Group D 16 Sept 2022 Shift 1 Official Paper
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  1. 630000
  2. 176400
  3. 10500
  4. 661500

Answer (Detailed Solution Below)

Option 2 : 176400
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RRB Group D Full Test 1
100 Qs. 100 Marks 90 Mins

Detailed Solution

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ఇచ్చినది:

రెండు సంఖ్యల LCM మరియు HCF మొత్తం = 1050

HCF వాటి LCM కంటే 630 తక్కువ

ఉపయోగించిన భావన:

రెండు సంఖ్యల లబ్దం = LCM × HCF

గణన:

LCMని xగా అనుకుందాం.

HCF = x – 630

ప్రశ్న ప్రకారం,

LCM + HCF = 1050

⇒ x + x – 630 = 1050

⇒ 2x = 1050 + 630 = 1680

⇒ x = 840 = LCM

⇒ HCF = 840 – 630 = 210

⇒ రెండు సంఖ్యల లబ్దం = 840 × 210 = 176400

కాబట్టి, రెండు సంఖ్యల లబ్దం 176400.

కాబట్టి, సరైన సమాధానం ఎంపిక 2).

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