Discussion
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- Question
If the sum of two numbers is 55 and the H.C.F and L.C.M of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to
Options- A. 55/601
- B. 601/55
- C. 11/120
- D. 120/11
- Correct Answer
- 11/120
ExplanationLet the numbers be a and b . Then, a+b =55 and ab = 5 x 120 = 600.
Therefore, Required sum =
- 1. LCM of two co-prime numbers a and b is (a is greater than b):
Options- A. a
- B. a+b
- C. ab
- D. b Discuss
- 2. The LCM and HCF of two numbers are 4284 and 32, respectively. If one of the numbers is 672, then the second number is;
Options- A. 102
- B. 64
- C. 204
- D. 92 Discuss
- 3. Which of the following has most number of divisors?
Options- A. 99
- B. 101
- C. 176
- D. 182 Discuss
- 4. The product of two 2-digit numbers is 2160 and their H.C.F. is 12. The numbers are
Options- A. (12, 60)
- B. (72, 30)
- C. (36, 60)
- D. (60, 72) Discuss
- 5. A natural number, when divided by 9, 10, 12 or 15, leaves a remainder of 3 in each case. What is the smallest of all such numbers?
Options- A. 183
- B. 153
- C. 63
- D. 123 Discuss
- 6. A student can divide her books into groups of 5, 9 and 13. what is the smallest possible number of the books ?
Options- A. 487
- B. 585
- C. 635
- D. 705 Discuss
- 7. Find the HCF of 3341 and 3328.
Options- A. 257
- B. 337
- C. 13
- D. 31 Discuss
- 8. If the product of two numbers is 3026 and their LCM is 89, then their HCF is :
Options- A. 33
- B. 34
- C. 35
- D. 29 Discuss
- 9. The minimum value of LCM of given numbers is ........... the product of all the given numbers.
Options- A. always greater than
- B. always less than
- C. always equal to
- D. None Discuss
- 10. The HCF of two numbers is 11 and their LCM is 330. If one of the number is 55. Find the other number.
Options- A. 33
- B. 66
- C. 44
- D. 77 Discuss
Search Results
Correct Answer: ab
Correct Answer: 204
Correct Answer: 176
Explanation:
99 = 1 x 3 x 3 x 11
101= 1 x 101
176= 1 x 2x 2 x 2 x 2 x 11
182= 1 x 2 x 7 x 13
So, divisors of 99 are 1, 3, 9, 11, 33, 99
divisors of 101 are 1,101
divisors of 176 are 1, 2, 4, 8, 16, 22, 44, 88, 176
divisors of 182 are 1, 2, 7, 13, 14, 26, 91, 182
Hence , 176 hasthe most number of divisors.
Correct Answer: (36, 60)
Correct Answer: 183
Explanation:
LCM of 9,10,12,15 is 180
Smallest natural number to get remainder of 3 is (180 + 3) = 183
Correct Answer: 585
Explanation:
The smallest possible number of books = L.C.M of 5, 9 and 13.
Therefore, L.C.M of 5,9 and 13 is = 5 x 9 x 13 = 585.
Correct Answer: 13
Correct Answer: 34
Correct Answer: None
Correct Answer: 66
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