MTS 21 25-07-2022 Shift 2


Question 1

If A=2K×35 and B=25×37. If the least common multiple of A and B is 28×37, then what is the value of K?

 

If A=2K×35 and B=25×37.है। यदि A और B का लघुतम समापवर्त्य (LCM) 28×37  है, तो Kका मान ज्ञात कीजिए।


Options

A

B

C

D


Solution:

Correct Answer:

B


LCM of A and B = 2max.(K,5)2^{max.(K,5)} 3max.(5,7)3^{max.(5,7)}= 282^8  ×\times 373^7

As we know 8 > 5 then K = 8

A और B का लघुत्तम समापवर्त्य = 2ि(K,5)2^{अधिकतम(K,5)} 3ि (5,7)3^{अधिकतम (5,7)}= 282^8  ×\times 373^7

हम जानते है कि  8 > 5 इसलिय  K = 8

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