Question 37Asked in CTET December 2024 Paper 2 Maths & Science, 15 Dec 2024

If (7x − 1)/4 − (1/7)(2x − (1 − x)/2) = 4, then what is the value of (5x − 3)/(3x − 1)?यदि (7x − 1)/4 − (1/7)(2x − (1 − x)/2) = 4 है, तो (5x − 3)/(3x − 1) का मान क्या है?

यदि (7x − 1)/4 − (1/7)(2x − (1 − x)/2) = 4 है, तो (5x − 3)/(3x − 1) का मान क्या है?
  1. A11
  2. B3/23/2
  3. C7/57/5
  4. D11/811/8
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Correct answer: (B) 3/23/2

Explanation

2x − (1 − x)/2 = (5x − 1)/2, so the equation is (7x − 1)/4 − (5x − 1)/14 = 4. Multiplying by 28: 7(7x − 1) − 2(5x − 1) = 112, so 39x = 117 and x = 3. Then (5x − 3)/(3x − 1) = 12/8 = 3/2.2x − (1 − x)/2 = (5x − 1)/2 है, इसलिए समीकरण (7x − 1)/4 − (5x − 1)/14 = 4 बन जाता है। 28 से गुणा करने पर: 7(7x − 1) − 2(5x − 1) = 112, अतः 39x = 117 और x = 3। तब (5x − 3)/(3x − 1) = 12/8 = 3/2।

From CTET December 2024 Paper 2 Maths & Science, 15 Dec 2024 — Previous Year Paper

This is question 37 of CTET December 2024 Paper 2 Maths & Science, 15 Dec 2024 — 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.