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3. Playing with Numbers
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Q1 of 55 Page 67

Renu purchases two bags of fertiliser of weights 75 kg and 69 kg. Find the maximum value of weight which can measure the weight of the fertiliser exact number of times.

Weight of the two bags = 75 kg and 69 kg


Maximum weight = HCF (75, 69)




75 = 3 × 5 × 5


69 = 3 × 23


HCF = 3


Therefore, the maximum value of weight, which can measure the weight of the fertilizer exact number of time, is 3 kg.


More from this chapter

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2

What is the HCF of two consecutive-

(a) numbers?


(b) even numbers?


(c) odd numbers?

3

HCF of co-prime numbers 4 and 15 was found as follows by factorization: 4 = 2 × 2 and 15 = 3 × 5 since there is no common prime factor. So, HCF of 4 and 15 is 0. Is the answer correct? If not, what is the correct HCF?

2

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

3

The length, breadth and height of a room are 825 cm, 675 cm and 450 cm resdpectively. Find the longest tape which can measure the three dimensions of the room exactly.

Questions · 55
3. Playing with Numbers
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