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What is the number of integral solutions of the equations HCF (a, b) = 5 and a + b = 65 ?
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A) None |
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B) Infinitely many |
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C) Less than 65 |
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D) Exactly one |
Correct Answer:
| C) Less than 65 |
Description for Correct answer:
H.C.F. (a, b)= 5 and a + b = 65.
The given combination is satisfied by the following value of a and b.
1. for a=5, b = 60
2. for a = 10,b = 55
3. for a = 15, b = 50
4. for a =20, b = 45
5. for a =25,b =40
6. for a=30, b=35
7. for a=35, b=30
8. for a =40, b = 25
9. for a=45, b=20
10.for a=30,b = 35
11.for a =55,b = 10
12.for a=60,b=5
Hence for correct Option is (c)
H.C.F. (a, b)= 5 and a + b = 65.
The given combination is satisfied by the following value of a and b.
1. for a=5, b = 60
2. for a = 10,b = 55
3. for a = 15, b = 50
4. for a =20, b = 45
5. for a =25,b =40
6. for a=30, b=35
7. for a=35, b=30
8. for a =40, b = 25
9. for a=45, b=20
10.for a=30,b = 35
11.for a =55,b = 10
12.for a=60,b=5
Hence for correct Option is (c)
Part of solved CDS Maths(2) questions and answers : Exams >> CDSE >> CDS Maths(2)
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