Subject
Bank Exam
Topic
পূবালী ব্যাংক লিমিটেড (সিনিয়র অফিসার) - ৩০.০৯.২০২৩
The product of two numbers is 2028, and their H.C.F is 13. The number of such pairs is: 1
The product of two numbers is 2028, and their H.C.F is 13. The number of such pairs is: 1
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2গ)
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4Explanation
Let, The two numbers be x and y Here, xy = 2028 Also 13 is their HCF, thus both numbers must be divisible by 13. So, let x = 13a and y = 13b, then 13a × 13b = 2028 ⇒ 169ab = 2028 ⇒ ab = 2028/169 ⇒ ab = 12 Therefore, required possible pair of values of x and y which are prime to each other are (1,12) and (3, 4). Thus, the required numbers are (13,156) and (39, 52). The number of possible pairs is 2.Related questions
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