L&T
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Numerical Ability
LCM and HCF
18. Sum of two numbers prime to each other is 20 and their L.C.M. is 99. What are the numbers?
(a) 8 and 12
(b) 14 and 6
(c) 19 and 1
(d) 11 and 9
Read Solution (Total 12)
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- ANS:-(d)11 and 9
bcz both the numbers are prime to each other and their L.C.M is also 99.
- 10 years agoHelpfull: Yes(6) No(4)
- As two numbers are prime, only two options satisfy ie option C and D.
but option C will not make the product of numbers i.e 99 (HCF*LCM=product of two numbers)
hence last option D satisfy. D is answer. - 9 years agoHelpfull: Yes(2) No(2)
- Simple answer 11 & 9 (d)
- 10 years agoHelpfull: Yes(1) No(1)
- answer 11 & 9 (d)
- 10 years agoHelpfull: Yes(1) No(0)
- As they are Prime to each other, thus HCF=1 and LCM must be product of those nos.
11 and 9 are prime to each other and 11*9=99 - 9 years agoHelpfull: Yes(1) No(1)
- if two no.s are coprime than lCM is thier product itself,
a+b=20;
ab=99;
solving gives 11,9 - 9 years agoHelpfull: Yes(1) No(0)
- Actually,9 is not a prime number.I think question is wrong
- 9 years agoHelpfull: Yes(1) No(0)
- From the given option , by using trial and error method only 11 and 9 forms the lcm of 99
- 9 years agoHelpfull: Yes(0) No(0)
- d)11+9=20,L.C.M-11*9=99
- 9 years agoHelpfull: Yes(0) No(0)
- 11 and 9 lcm 99
- 9 years agoHelpfull: Yes(0) No(0)
- x+y=20: lcm(x,y)=99
by option lcm(11,9)=99
11+9=20
both are prime numbers so option d
- 8 years agoHelpfull: Yes(0) No(0)
- question is wrong. it should be coprime instead of prime
ANS:-(d)11 and 9
bcz both the numbers are coprime to each other and their L.C.M is also 99. - 8 years agoHelpfull: Yes(0) No(0)
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