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Prime Factorisation

The LCM of tw...

Question

The LCM of two numbers is 24 and their HCF is 4. Which of these can be true if the two numbers are denoted by $n_{1}$ and $n_{2}$ ?
A. $n_{1}$ + $n_{2}$ = 28
B. $n_{1}$ + $n_{2}$ = 20

A

Only A

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B

Only B

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C

Both A and B

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D

Neither A nor B

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Solution

The correct option is C Both A and B

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Similar questions

N_{1} = 2^{55} + 1

N_{2} = 165.

Q. The electron in a hydrogen atom makes a transition

n_{1} \to n_{2}

n_{1}

n_{2}

are the principal quantum numbers of the two states. Assume the Bohr model to be valid. The time period of the electron in the initial state is 8 times that in the final state. The possible values of

n_{1}

n_{2}

n_{1}

n_{2}

are two odd prime numbers such that

n_{1} > n_{2}

, then write the nature of

n_{1}^{2} - n_{2}^{2}

n_{1} < n_{2} < n_{3} < n_{4} < n_{5}

be positive such that

n_{1} + n_{2} + n_{3} + n_{4} + n_{5} = 20

. The numbers of such distinct arrangements

(n_{1}, n_{2}, n_{3}, n_{4}, n_{5})

Q. A certain number 'C' when divided by

N_{1}

it leaves a remainder of 13 and when it is divided by

N_{2}

it leaves a remainder of 1, where

N_{1}

N_{2}

are the positive integers. Then the value of

N_{1} + N_{2} i s, i f \frac{N_{1}}{N_{2}} = \frac{5}{4}

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