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06 Aug 2021, 08:15
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
87% (01:31) correct
13%
(01:52)
wrong
based on 180
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The highest common factor and least common multiple of two positive integers are 11 and 385 respectively. If one number lies between 75 and 125, then what is the value of that number ?
(A) 77
(B) 88
(C) 99
(D) 110
(E) 115
(A) 77
(B) 88
(C) 99
(D) 110
(E) 115
06 Aug 2021, 08:30
Kudos
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385=5x7x11
the number lies between 75 and 125.
Possibilities are :
25
35
55
77
385
Only 77 lies in the given range..
A will the answer imo.
Posted from my mobile device
the number lies between 75 and 125.
Possibilities are :
25
35
55
77
385
Only 77 lies in the given range..
A will the answer imo.
Posted from my mobile device
globaldesi
Joined: 28 Jul 2016
Last visit: 23 Feb 2026
Posts: 1,141
Given Kudos: 67
Location: India
Concentration: Finance, Human Resources
Schools: ISB '18 (D)
GPA: 3.97
WE:Project Management (Finance: Investment Banking)
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06 Aug 2021, 08:40
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for any two numbers:
HCF*LCM= product of two numbers
11*385= p1*p2
11*5*7*11 = p1*p2
the only number lying in between 75 and 125 are
11*11 = 121
7*11 =77
also if 121 (11*11) and 35(5*7) were two number HCF would be 1 and LCM would have been 121*35
only 77 and 55 satisfy HCF =11 and LCM = 385
thus two numbers are 55 and 77
A is 77 thus our answer
HCF*LCM= product of two numbers
11*385= p1*p2
11*5*7*11 = p1*p2
the only number lying in between 75 and 125 are
11*11 = 121
7*11 =77
also if 121 (11*11) and 35(5*7) were two number HCF would be 1 and LCM would have been 121*35
only 77 and 55 satisfy HCF =11 and LCM = 385
thus two numbers are 55 and 77
A is 77 thus our answer
