The LCM of two numbers is 495 and their HCF is 5. If the sum of the numbers is 100. then their difference is :
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 Books
2 answers
Answered by
Guest on
| Votes
0 |
#
it from previous year ssc papers, 10 is the right answer
Join Telegram Group
Answered by
Guest on
| Votes
3 |
#
2nd number
= 100 – x
LCM × HCF = 1st number ×
2nd number
495 × 5 = x × (100 – x)
495 × 5 = 100x –$x^{2}$
$x^{2}$– 55x – 45x – 2475 = 0
(x – 45) (x – 55) = 0
x = 45 or x = 55
Then, difference = 55 – 45 = 10
Other Questions
1. The greatest number that divides 411, 684, 821 and leaves 3, 4 and 5 as remainders, respectively, is
2. Three bells ring simultaneously at 11a . m . They ring at regular Intervals of 20 minutes. 30 minutes. 40 minutes respec- tively. The time when all the three ring together next Is
3. The ratio of two numbers is 3:4 and their HCF is 5. Their LCM is :
4. L.C.M of $\frac{2}{3}$, $\frac{4}{9}$, $\frac{5}{6}$ is
5. The least number which when divided by 4. 6, 8 and 9 leave zero remainder In each case and when divided by 13 leaves a remainder of 7 is :
6. Four bells ring at the intervals of 5, 6, 8 and 9 seconds . All the bells ring simultaneously at some time. They will again ring simultaneously after
7. The largest number of five digits which, when divided by 10, 24, 30, or 36 leaves the same remainder 10 in each case, is :
8. The greatest number, which when divide 989 and 1327 leave remainders 5 and 7 respectively, is :
9. What Is the greatest number which will divide 110 and 128 leaving a remainder 2 in each case
10. Three sets of English , Mathematics and Science books containing 336, 240, 96 books respectively have to be stacked In such a way that all the books are stored subject-wise and the height of each stack Is the same. Total number of stacks will be