Exercise 7E
Question 1
1. Find the HCF of each of the following using prime factorisation method.
(i) 24,56
(ii) 112,144 and 180
(iii) 84,98 and 138
(iv) 70,105 and 175
(v) 129,215 and 387
(vi) 171,285 and 399
2. Find the HCF of each of the following by continued division method.
(i) 136 and 640
(ii) 391,425 and 527
(iii) 1078 and 1463
(iv) 527,646 and 1105
(v) 1682,1798 and 2146
3.Deduce the following fractions to the lowest terms by dividing the numerator and denominator of each of the following by their HCF.
(i) $\frac{168}{266}$
(ii) $\frac{603}{1005}$
(iii) $\frac{805}{1035}$
4. Fatima wants to mail three parcels to three village schools. She finds that the postal charges are ₹ 20, ₹ 28 and ₹ 36 respectively. If she wants to buy stamps only of one denomination, what is the greatest denomination of stamps she must buy to mail the three parcels?
5. Three sets of English, Mathematics and Science books containing 336,240 and 96 books respectively have to be stacked in such a way that all the books are stored subject-wise and the height of each stack is the same. What is the total number of stacks?
6.What is the greatest number that will divide 307 and 330 leaving remainders 3 and 7 respectively?
Multiple Choice Questions (MCQs)
Tick (✔) the correct option.
7. The HCF of two consecutive even numbers is always
(a) 1
(b) 2
(c) 0
(d) None of these
8. The greatest number which will exactly divide 200 and 320 is
(a) 10
(b) 20
(c) 16
(d) 40
9. The greatest possible length which can be used to measure exactly the lengths 7m, 3m 85 cm and 12m 95 cm is
(a) $15 \mathrm{~cm}$
(b) $25 \mathrm{~cm}$
(c) $35 \mathrm{~cm}$
(d) $42 \mathrm{~cm}$
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