Subject
Bank Exam
Topic
Islami Bank Bangladesh Ltd. PO 2017
If |x+5| = 3 and |2y - 1|/3 = 5, then |x + y| could equal each of the following EXCEPT
If |x+5| = 3 and |2y - 1|/3 = 5, then |x + y| could equal each of the following EXCEPT
ক)
0খ)
6গ)
8ঘ)
9ঙ)
15Explanation
Solution: এটা Modulus বা Absolute value এর অংক । Step by step করতে হবে । সূত্রঃ | x | = a হলে + (X) = a এবং - (X) = a. যেহেতু, | x + 5 | = 3 তাই, (x + 5) = 3 => x = 3 - 5 x = - 2 আবার, - (x + 5) = 3 => x + 5 = -3 => x = -3 - 5 x = - 8 আবার, |2y - 1|/3 = 5 | 2y - 1| = 15 এখন, + (2y - 1) = 15 => 2y = 15 + 1 => 2y = 16 y = 8 আবার, - (2y - 1) = 15 => 2y - 1 = -15 => 2y = -15 + 1 => 2y = -14 y = -7 এখন, x = -2 , - 8 এবং y = 8, -7 হলে আমরা পাই, (x, y) = (-2, 8), (-2, -7), (-8, 8), (-8, -7). তাই, x + y = 6, -9, 0, - 15. |x + y| = |6|, |- 9|, |0|, | -15| = 6, 9, 0, 15. কাজেই অপশনগুলো হতে পাই এই চারটি মান বাদ দিলে উত্তর হবে অপশন c) এর 8.Related questions
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