1. The product of the LCM and HCF
of two numbers is 24. The
difference of the two numbers is
2. Find the numbers ?
(1) 8 and 6 (2) 8 and 10
(3) 2 and 4 (4) 6 and 4
(SSC CGL Prelim Exam.
04.07.1999 (First Sitting)
2. The LCM of two numbers is 495
and their HCF is 5. If the sum
of the numbers is 100, then
their difference is :
(1) 10 (2) 46
(3) 70 (4) 90
(SSC CGL Prelim Exam.
04.07.1999 (Second Sitting)
3. Two numbers, both greater than
29, have HCF 29 and LCM 4147.
The sum of the numbers is :
(1) 966 (2) 696
(3) 669 (4) 666
(SSC CGL Prelim Exam. 04.07.1999
(First Sitting), & SSC CGL Prelim
Exam. 24.02.2002 (Second Sitting)
4. The sum of the H.C.F. and L.C.M
of two numbers is 680 and the
L.C.M. is 84 times the H.C.F. If one
of the number is 56, the other is :
(1) 84 (2) 12
(3) 8 (4) 96
(SSC CGL Prelim Exam. 13.11.2005
(First Sitting)
5. The sum of two numbers is 84
and their HCF is 12. Total number of such pairs of number is
(1) 2 (2) 3
(3) 4 (4) 5
(SSC HSL DEO & LDC Exam.
28.11.2010 (IInd Sitting)
6. The sum of a pair of positive integer is 336 and their H.C.F. is
21. The number of such possible pairs is
(1) 2 (2) 3
(3) 4 (4) 5
(SSC CGL DEO & LDC Exam.
04.12.2011 (Ist Sitting (North Zone)
7. The sum of two numbers is 45.
Their difference is
1/9of their
sum. Their L.C.M. is
(1) 200 (2) 250
(3) 100 (4) 150
(SSC CGL Prelim Exam. 04.02.2007
(First Sitting)
8. The H.C.F. of two numbers, each
having three digits , is 17 and
their L.C.M. is 714. The sum of
the numbers will be :
(1) 289 (2) 391
(3) 221 (4) 731
(SSC CPO S.I. Exam. 16.12.2007)
9. The product of the LCM and the
HCF of two numbers is 24. If the
difference of the numbers is 2,
then the greater of the number is
(1) 3 (2)4
(3) 6 (4)8
(SSC CGL Prelim Exam. 27.07.2008
(First Sitting)
10. The sum of two numbers is 216
and their HCF is 27. How many
pairs of such numbers are there?
(1) 1 (2)2
(3) 3 (4)0
(SSC CGL Prelim Exam. 27.07.2008
(First Sitting)
answer:1. (4) 2. (1) 3. (2) 4. (4)
5. (2) 6. (3) 7. (3) 8. (3)
9. (3) 10. (2)
