Question

Find the least number which when divided by 15,25 , and 35 respectively, leaves remainder 6,16 , and 26 .

• A. 525
• B. 517
• C. 582
• D. 516

Answer 1

Answer: (D)

$15-6=9$
$25-16=9$
$35-276=9$
$\therefore$ The Required number will be LCM of (15,25,35) k-9$<br/><imgclass="img-fluidquestion-image"alt="image"src="https://cdn.tardigrade.in/img/question/mathematics/eb9cbdca72d4448747b296b625808e87-.jpeg"/><br/>$\therefore \operatorname{LCM}(5,25,35)=525 \text {. }$<br/>Therefore,requirednumber$=525 k-9$.<br/>If$k=1$, the number will be 516 .