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Hcf and lcm Practice Questions & Answers

31 vote

The number of pair of positive integers whose sum is 99 and HCF is 9 is

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The number of pair of positive integers whose sum is 99 and HCF is 9 is
1). 2
2). 3
3). 4
4). 5

27 vote

The HCF (GCD) of a, b is 12. a, b are positive integers and a > b > 12. The smallest values of (a,b) are respectively

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The HCF (GCD) of a, b is 12. a, b are positive integers and a > b > 12. The smallest values of (a,b) are respectively
1). 12,24
2). 24,12
3). 24,36
4). 36,24

1 vote

A fraction become $\frac{1}{6}$ when 4 is subtracted from its numerator and 1 is added to its denorninator. If 2 and 1 are respectively added to its numerator and the denominator , it becomes $\frac{1}{3}$ .Then , the LCM of the numerator and denominator of the said fraction , must be

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A fraction become $\frac{1}{6}$ when 4 is subtracted from its numerator and 1 is added to its denorninator. If 2 and 1 are respectively added to its numerator and the denominator , it becomes $\frac{1}{3}$ .Then , the LCM of the numerator and denominator of the said fraction , must be
1). 14
2). 350
3). 5
4). 70

0 vote

If P = $2^{3}.3^{10}.5$ :Q = $2^{5}.3.7$ then HCF of P and Q is :

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If P = $2^{3}.3^{10}.5$ :Q = $2^{5}.3.7$ then HCF of P and Q is :
1). 2.3.5.7
2). $3.2^{3}$
3). $2^{3}.3^{7}.5$
4). $2^{5}.3^{10}.5.7$

29 vote

The greatest number, that divides 122 and 243 leaving respectively 2 and 3 as remainders, is

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The greatest number, that divides 122 and 243 leaving respectively 2 and 3 as remainders, is
1). 12
2). 24
3). 30
4). 120