Quantitative Aptitude :: H.C.F and L.C.M - Discussion

Home > Quantitative Aptitude > H.C.F and L.C.M > MCQs Questions Discussion

9 / 28

Choose the correct option.

Find the largest 4-digit number, which gives the remainder 7 and 13 when divided by 11 and 17?

A9900

B9907

C9807

DNone of these

Answer: Option (Login/Signup)

Show Explanation

STEP-BY-STEP

Shristi
16 Jun, 2021 11:39 PM

11-7=4

17-13=4

when both the difference of divisor of remainder are same apply this rule

LCM(divisors)k-4

(11*17)k-4

187k-4

Now this should be the largest 4 digit number

187k-4 <10000

187k<10004

k<10004/187

k=53.33

max value=53

Largest possible 4 digit number is

187*(53)-4

9907

Read Full Answer

Rate This: +0 -0

Report

Report Error

Please Login First Click Here