sheela bought 2 kg of mango and she got 12 mangoes . She had distributed 1 mango to each child in the class of 50. she purchased 8 kg of mango .Will the number is sufficient or less? By how much
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Let N represent no of mangoes.
Then, analyzing the question we can write,
N=2a + 1
N=3b + 2
N=4c + 3
N=5d + 4
N=6e + 5
N=7f
Add 1 on both sides in all the equations. Then,
N+1=2a + 2=2(a+1)
Similarly,
N + 1=3(b +1)
N + 1=4(c +1)
N + 1=5(d +1)
N + 1=6(e +1)
N + 1=7f + 1
This means when that number is increased by 1,it is divisible by 3,4,5, and 6. The second least number divisible by 3, 4, 5 and 6 is 120. We ignore least no 60 as 59 is not divisible by 7. So the number N +1 should be 120x where x is any positive integer.
Take least value of n so that N + 1=120
So, N=120-1=119.
So 119 is the answer.
Step-by-step explanation:
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