find the least number which when divided by 12,leave a remainder of 7,when divided by 15,leave a remainder of 10,when divided by 16,leave a remainder of 11
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Answer:
235
Step-by-step explanation:
12=2² ×3
15=3×5
16=2⁴
LCM=2⁴×3×5=240
Now, the number leaves 7 as a remainder when divided by 12. In same case, 10 is left as remainder when divided by 15. And 11 is left as remainder when divided by 16. In each case we are 5 short of getting remainder as 0. So Desired number is 240 - 5 = 235.
Answer : 235
Hope it helps.
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