Question

a basket contains oranges it cannot accomandate more than 150 oranges if it counted in paire 1 will remain if counted in threes 2 will remain if counted in fours 3 will remain if counted in five 4 will remain if counted in six 5 will remain if counted in seven 0 will remain so,how many oranges are there in basket maths problem
note that answer is less than 150
please answer fast​

Answer 1

Answer:

119 oranges in basket

Step-by-step explanation:

Let oranges = x

When divided by 2,3,4,5 and 6, the remainder is always one less than the divisor

Thus, x is one less than LCM(2,3,4,5,6) OR one less than a multiple of the same.

Thus, x is one less than LCM(2,3,4,5,6) OR one less than a multiple of the same.

LCM=60

now,

x= (60-1) OR (120-1) OR (180-1)

60-1= 59

NOT divisible by 7

120-1=119

Maybe x= 119

180-1= 179

Cannot be over 150.

We can safely conclude that x= 119

The trader was carrying 119 oranges

Answer 2

Answer:

$\huge\boxed{\fcolorbox{red}{pink}{Your's Answer}}$

119 Oranges

$\red {QUESTION}$

A basket contains Oranges it cannot accomandate more than 150 oranges. If it counted in pairs 1 will remain, if counted in threes 2 will remain, if counted in fours 3 will remain, if counted in five 4 will remain, if counted in six 5 will remain and if counted in seven 0 will remain. So,how many Oranges are there in basket?

$\green {ANSWER}$

Let Oranges=x

When divided by 2,3,4,5 and 6, the remainder is always one less than the divisor.

Thus, x is one less than LCM(2,3,4,5,6) OR one less than a multiple of the same.

LCM=60

now,

x= (60-1) OR (120-1) OR (180-1)

60-1= 59

Not divisible by 7

120-1=119

Maybe x= 119

180-1= 179

Cannot be over 150.

We can safely conclude that x= 119.

The basket contains 119 oranges.

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