Question

the least number which when divided by 15, leaves a remainder of 5, when divided by 25 leaves a remainder of 15 , when divided by 35 leaves a remainder of 25 is
a) 515
b) 525
c) 1040
d) 1050​

Answer 1

Answer:

The LCM of the numbers 15, 25 and 35 will be 75∗7=525

Now, number has a remainder of 25 when divided by 35. Similarly, number has remainder 15 on dividing by 25 and remainder is 5 when divided by 15. In each case, we are 10 short of getting a zero remainder. So the desired number must be 525−10=515

Option A

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Answer 2

Answer:

e

a) 515 and c) 1040

Step-by-step explanation:

first check with remainder for dividing by 3 (because 3×5 =15)

515 and 1040

check first step for dividing 15 leaves a remainder of 5

both can do

check second step for dividing 25 leaves a remainder of 15

both can do

check third step for dividing 35 leaves a remainder of 25

both can do

answer: a and c, 515 and 1040

e