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HCF and LCM

Multiple Choice Questions

Two numbers are in the ratio 5 : 6. If their LCM is 120, their HCF will be

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The least among and 1 is

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The sum of two numbers is 45 and their H.C.F. and L.C.M. are 3 and 168 respectively. The sum of the reciprocals of the numbers will be

15/57
3/11
15/56
5/56

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The ratio of two numbers is 3 : 4 and their LCM is 180. The second number is

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5.
The greatest perfect square number of 6 digits is:

999001

998001

998009

998009

998001

Think of the smallest perfect square with 7 digits. It's 1,000,000 which is 1000 squared. Now try smaller numbers squared.
999 squared is 998001. There's no integer between 999 and 1000, so 998001 is the largest perfect square with 6 digits.

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The numerator of a fraction is multiple of two numbers. One of the numbers is greater than the other by 2. The greater number is smaller than the denominator by 4. If the denominator 7+C (C > -7) is a constant, then the minimum value of the fraction is

5
$1 fifth$
-5
-5

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If the L.C.M. and H.C.F. of two expressions are (x² + 6x + 8) (x + 1) and (x + 1) respectively and one of the expressions is x² + 3x + 2, find the other.

x² + 5x + 4
x² - 5x + 4
x² + 4x + 5
x² + 4x + 5

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Find the least number which when divided separately by 15, 20, 36 and 48 leaves 3 as remainder in each case.

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Three man step off together from the same spot. Their steps measure 63 cm, 70 cm and 77 cm respectively. The minimum distance each should cover so that all can cover the distance in complete steps is