A milk vendor has 75 litres of cow milk, 45 litres of toned milk and 30 litres of full cream milk. These should be placed in
different trays such that each tray contains the same quantity of milk and two kinds of milk should not be mixed in a tray.
What is the least number of trays required to place all the milk?
Given:
Cow milk = 75 litres
Toned milk = 45 litres
Full cream milk = 30 litres
Formula Used:
The least number of trays =
HCF = Highest Common Factor
Solution:
Find the HCF of 75, 45, and 30:
Prime factorization of 75:
Prime factorization of 45:
Prime factorization of 30:
The HCF is = 15.
The total milk quantity = 75 + 45 + 30 = 150 litres.
Number of trays required: trays
Thus, the correct option is (d) 10
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If the HCF of the expressions (x + 3) (2x² – 3x + a) and (x – 2) (3x² + 10x – b) is x² + x – 6, then what is the value of (2a – 3b) ?
The greatest number, which divides 1938 and 2337 to leave 0 and 3 respectively as remainders, is:
The greatest number, which divides 711 and 1040 to leave 48 and 20 respectively as remainders, is:
The greatest number that divides 210, 1245 and 2160 is:
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The greatest number, which divides 2340 and 1551 to leave 40 and 33 respectively as remainders, is:
Suggested Test Series
Suggested Test Series
The number of pairs of positive integers whose sum is 99 and HCF is 9 is
Find the HCF of 2.8, 11.2 and 0.84 .
Find the Highest Common Factor (HCF) of 372, 732 and 2196.
If the HCF of the expressions (x + 3) (2x² – 3x + a) and (x – 2) (3x² + 10x – b) is x² + x – 6, then what is the value of (2a – 3b) ?
The greatest number, which divides 1938 and 2337 to leave 0 and 3 respectively as remainders, is:
The greatest number, which divides 711 and 1040 to leave 48 and 20 respectively as remainders, is:
The greatest number that divides 210, 1245 and 2160 is:
There are four equilateral triangles with sides 95 cm, 76 cm, 57 cm and 152 cm. What maximum size scale (in cm) can measure all of them exactly?
The greatest number, which divides 2340 and 1551 to leave 40 and 33 respectively as remainders, is:
