Discussion
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- Question
Which of the following has most number of divisors?
Options- A. 99
- B. 101
- C. 176
- D. 182
- Correct Answer
- 176
Explanation99 = 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.
- 1. 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
- 2. 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
- 3. The LCM of 72 and 84 is:
Options- A. 12 × 6 × 7
- B. 6 × 2 × 7
- C. 12 × 7 × 3
- D. 72 × 84 Discuss
- 4. Find the HCF of 865 and 2595.
Options- A. 25
- B. 2595
- C. 865
- D. 5 Discuss
- 5. Three different containers contain 1365 litres, 1560 litres and 1755 litres of mixtures of milk and water respectively. What biggest measure that can measure all the different quantities exactly ?
Options- A. 37 lit
- B. 97 lit
- C. 129 lit
- D. 195 lit Discuss
- 6. 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
- 7. 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
- 8. 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 Discuss
- 9. 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
- 10. Find the HCF of 3341 and 3328.
Options- A. 257
- B. 337
- C. 13
- D. 31 Discuss
Search Results
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: 12 × 6 × 7
Correct Answer: 865
Correct Answer: 195 lit
Explanation:
From the given data,
containers contain mixtures of milk and water as 1365 lit, 1560 lit and 1755 lit.
Biggest measure that can measure all these different quantities exactly can be given by
HCF of (1365, 1560, 1755)
That can be found as
HCF of 1365, 1755 = 195
Now, HCF of 195 and 1560 = 195
Hence, biggest measure that can measure all the given different quantities exactly is 195 lit.
Correct Answer: 204
Correct Answer: ab
Correct Answer: 11/120
Explanation:
Let the numbers be a and b . Then, a+b =55 and ab = 5 x 120 = 600.
Therefore, Required sum =
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
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