Question
Download Solution PDFउस विकल्प का चयन करें जो चौथे पद से उसी प्रकार सम्बंधित है जैसे पहला पद, दूसरे पद से सम्बंधित है और पाँचवाँ पद, छठे पद से सम्बंधित है।
16 : 96 :: ? : 161 :: 18 : 120
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFयहाँ अनुसरित तर्क निम्न है : [पहली संख्या × (पहली संख्या + 2)] ÷ 3 = दूसरी संख्या
इसलिए,
- 16 : 96
[16 × (16 +2)] ÷ 3 = 96
(16 × 18) ÷ 3 = 96
96 = 96 (बायाँ पक्ष = दायाँ पक्ष)
और,
- 18 : 120
[18 × (18 +2)] ÷ 3 = 120
[18 × (18 +2)] = 120 × 3
18 × 20 = 360
360 = 360 (बायाँ पक्ष = दायाँ पक्ष)
इसी तरह,
- ? : 161
माना '?' का मान 'x' है।
x × (x +2) = 161 × 3
x2 + 2x = 483
x2 + 2x - 483 = 0
x2 + 23x - 21x - 483 = 0
(x + 23) (x - 21) = 0
x = या तो - 23 या 21 है।
चूँकि, उत्तर ऋणात्मक नहीं हो सकता है, इसलिए x का मान 21 होगा।
अतः, "21" सही उत्तर है।
Last updated on Jul 12, 2025
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