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11. The LCM of two numbers is 12
times their HCF. The sum of the
HCF and the LCM is 403. If one
of the number is 93, then the
other number is
(1) 124 (2) 128
(3) 134 (4) 138
(SSC CGL Prelim Exam. 27.07.2008
(Second Sitting)
12. Sum of two numbers is 384.
H.C.F. of the numbers is 48. The
difference of the numbers is
(1) 100 (2) 192
(3) 288 (4) 336
(SSC CPO S.I. Exam. 06.09.2009)
13. The sum of two numbers is 36
and their H.C.F and L.C.M. are
3 and 105 respectively. The sum
of the reciprocals of two
numbers is
(1)
2
35 (2)
3
25
(3)
4
35 (4)
2
25
(SSC CGL Tier-I Exam. 16.05.2010
(Second Sitting) & SSC HSL DEO
& LDC Exam. 28.11.2010)
14. L.C.M. of two numbers is 120 and
their H.C.F. is 10. Which of the
following can be the sum of those
two numbers ?
(1) 140 (2) 80
(3) 60 (4) 70
(SSC CGL Tier-1 Exam 19.06.2011
(Second Sitting)
15. Three numbers which are coprime to one another are such
that the product of the first two
is 551 and that of the last two
is 1073. The sum of the three
numbers is :
(1) 75 (2) 81
(3) 85 (4) 89
(SSC CGL Prelim Exam. 11.05.2003
(First Sitting)
16. The sum of two numbers is 36
and their H.C.F. is 4. How many
pairs of such numbers are possible ?
(1) 1 (2) 2
(3) 3 (4) 4
(SSC CGL Prelim Exam. 08.02.2004
(Second Sitting)
17. If the HCF and LCM of two consecutive (positive) even numbers
be 2 and 84 respectively, then
the sum of the numbers is
(1) 30 (2) 26
(3) 14 (4) 34
(SSC CGL DEO & LDC Exam. 11.12.2011
(Ist Sitting (East Zone)
18. The LCM of two positive integers
is twice the larger number. The
difference of the smaller number
and the GCD of the two numbers
is 4. The smaller number is :
(1) 12 (2) 6
(3) 8 (4) 10
(SSC CGL DEO & LDC Exam. 21.10.2012,
IInd Sitting)
19. The L.C.M. of two numbers is 20
times their H.C.F. The sum of
H.C.F. and L.C.M. is 2520. If one
of the number is 480, the other
number is :
(1) 400 (2) 480
(3) 520 (4) 600
(SSC CPO S.I. Exam. 26.05.2005)
20. The LCM of two numbers is 44
times of their HCF. The sum of
the LCM and HCF is 1125. If
one number is 25, then the other number is
(1) 1100 (2) 975
(3) 900 (4) 800
(SSC CPO S.I.
Exam 12.12.2010 (Paper-I)
11. (1) 12. (3)
13. (3) 14. (4) 15. (3) 16. (3)
17. (2) 18. (3) 19. (4) 20. (1)

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