Question
HCF and LCM of two numbers are 13 and 455. If one number
lies between 60 and 70, then the other number lies betweenSolution
Let the numbers be 13m and 13n.
13m x 13n = 13 x 455 = 13 x 13 x 35
Or mn = 35
The co-prime numbers whose product is 35 are (5,7) and (1,35)
Hence, the no.s are 13 x 5 and 13 x 7 or 13 x 1 and 13 x 35
Or 65 and 91 or 13 and 455
Given that, one them lies between 60 and 70 ie 65,
Then the other number is 91 which lies between 90 and 100
More Quant Miscellaneous Questions
- Which letter-cluster will replace the question mark (?) in the following series?
NPQR, OORQ, PNSP, ____, RLUN - A series is given with one term missing. Choose the correct alternatives from the given ones that will complete the series.
57, 59, 56, 61, 54, ___ - Which letter-cluster will replace the question mark (?) in the following series?
RGV, UME, ?, AYW, DEF - Which letter and number cluster will replace the question mark (?) to complete the given series?
LT6, KU12, IW24, FZ48, ____ - Select the number from among the given options that can replace the question mark (?) in the following series.
17, 18, 22, 31, 47, ___
