Question 60Asked in CTET August 2023 Paper 2 Maths & Science, 20 Aug 2023

The solution of the equation [(x + 1) – (2x + 4)] / (3 – 5x) = 1/23 is also the solution of the equation:समीकरण [(x + 1) – (2x + 4)] / (3 – 5x) = 1/23 का हल, निम्न समीकरण का भी हल है :

समीकरण [(x + 1) – (2x + 4)] / (3 – 5x) = 1/23 का हल, निम्न समीकरण का भी हल है :
  1. A5(2x + 1) = 3(x + 1)5(2x + 1) = 3(x + 1)
  2. B3(2x + 3) = 2(x + 3)3(2x + 3) = 2(x + 3)
  3. C3(2x + 3) = 5(x + 1)3(2x + 3) = 5(x + 1)
  4. D2(2x – 3) = 3(x + 1)2(2x – 3) = 3(x + 1)
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Correct answer: (C) 3(2x + 3) = 5(x + 1)3(2x + 3) = 5(x + 1)

Explanation

The numerator is –x – 3, so 23(–x – 3) = 3 – 5x, giving –18x = 72 and x = –4. In option (3): 3(–8 + 3) = –15 and 5(–4 + 1) = –15, so x = –4 satisfies it.अंश –x – 3 है, इसलिए 23(–x – 3) = 3 – 5x, जिससे –18x = 72 और x = –4। विकल्प (3) में: 3(–8 + 3) = –15 और 5(–4 + 1) = –15, इसलिए x = –4 इसे संतुष्ट करता है।

From CTET August 2023 Paper 2 Maths & Science, 20 Aug 2023 — Previous Year Paper

This is question 60 of CTET August 2023 Paper 2 Maths & Science, 20 Aug 2023 — Previous Year Paper. See all questions of this paper with answers, or attempt the paper as a timed online test to get your score and all-India rank.