H.C.F of 4 * 27 * 3125, 8 * 9 * 25 * 7 and 16 * 81 * 5 * 11 * 49 is___________?

A. 180
B. 360
C. 540
D. 1260

Explanation:

4 * 27 * 3125 = 2² * 3³ * 5⁵;

8 * 9 * 25 * 7 = 2³ * 3² * 5² * 7;

16 * 81 * 5 * 11 * 49 = 2⁴ * 3⁴ * 5 * 7² * 11

H.C.F = 2² * 3² * 5 = 180.

Related Mcqs:

H.C.F of 3240, 3600 and a third number is 36 and their L.C.M is 2⁴ * 3⁵ * 5² * 7². The third number is___________?
A. 2² * 3⁵ * 7²
B. 2² * 5³ * 7²
C. 2⁵ * 5² * 7²
D. 2³ * 3⁵ * 7²
The H.C.F of two numbers is 23 and the other two factors of their L.C.M are 13 and 14. The larger of the two numbers is___________?
A. 276
B. 299
C. 322
D. 345
The least number which when divided by 16, 18 and 21, leave the remainder 3, 5 and 8 respectively is___________?
A. 982
B. 893
C. 1024
D. 995
The greatest number of four digits that have 144 for their HCF is___________?
A. 9930
B. 9903
C. 9935
D. 9936
The average age of a husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is___________?
A. 35 years
B. 30 years
C. 40 years
D. None of these
The arithmetic mean of the scores of a group of students in a test was 52. The brightest 20% of them secured a mean score of 80 and the dullest 25% a mean score of 31. The mean score of remaining 55% is___________?
A. 45
B. 50
C. 51.4 approx.
D. 54.6 approx.
The average of 18 observations was calculated and it was 124. Later on it was discovered that two observations 46 and 82 were incorrect. The correct values are 64 and 28. The correct average of 18 observations is___________?
A. 123
B. 137
C. 121
D. 122
If a number is chosen at random from the set {1, 2, 3, …., 100}, then the probability that the chosen number is a perfect cube is___________?
A. 1/25
B. 1/2
C. 4/13
D. 1/10
The perimeter of a rectangle and square are 160m each. The area of the rectangle is less than that it’s square by 100cm meters. The less than that of the square by 100 sq.meters. the length of rectangle is___________?
A. 30m
B. 40m
C. 50m
D. 60m
In a Circle of Radius 5 cm if AB and AC are two equal chords of length 6cm each, then the length of chord BC is___________?
A. 24/5 cm
B. 12/5 cm
C. 7/5 cm
D. None of these