Question
Three natural numbers X,Y,Z are
pairwise co-prime and satisfy the following conditions, the least common multiple (LCM) of X and Y is 391, the LCM of Y and Z is 667, If all three numbers are pairwise co-prime natural numbers, find the sum of X+Y+Z.Solution
ATQ, Since, the numbers are co-prime they will have only 1 as the common factor. So, LCM of X and Y = X×Y = 391 LCM of Y and Z = Y×Z = 667 So, X×Y ÷ Y×Z = 391 ÷ 667 X ÷ Z = 17 ÷ 29 Since, it is given that Z is less than 30 and all the numbers are natural numbers. So, X = 17 and Z = 29 Substituting the value of X we get, Y = 23 Therefore, sum of the three numbers = 17 + 23 + 29 = 69
Which of the following statements is definitely TRUE according to the passage?
At what time did the temple pillars arrive in the U.S?
What international factors point to a positive projection of India's GDP growth acceleration?
What else in the end does the author suggest to improve the air for the residents ?
What is the most egregious failure with respect to the prevailing situation in Maldives?
Which of the following happened in Nepal in the 19th century?
INUNDATION
Choose the word which is most nearly the same in meaning to the word ‘onus’ as used in the passage.
Directions: Four statements are given below labelled 1), 2), 3), 4) and 5). Among these, four statements are in logical order and form a coherent parag...
Why is the pristine environs near Kuppalli in Tirthahalli taluk damaged and under threat?
