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# Entrance Exam Preparation Online

#### 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)

How to Start Your Preparation for Entrance Exams?

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)

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