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Real Numbers
Complete the missing entries in the following factor trees :
Some More Questions From Real Numbers Chapter
Show that any positive odd integer is of the form 6q + 1, or 6q + 3, or 6q + 5, where q is some integer.
An army contingent of 616 members is to march behind an army band of 32 members in a parade. The two groups are to march in the same number of columns. What is the maximum number of columns in which they can march?
Use Euclid’s division lemma to show that the square of any positive integer is either of the form 3m or 3m + 1 for some integer m.
Use Euclid’s division lemma to show that the cube of any positive integer is of the form 9m, 9m + 1 or 9m + 8.
Express each number as a product of its prime factors: (i) 140
Express each number as a product of its prime factors: (ii) 156
Express each number as a product of its prime factors: (ii) 156 (iii) 3825 (iv) 5005 (v) 7429
Express each number as a product of its prime factors: (iv) 5005
Express each number as a product of its prime factors: (v) 7429
Find the LCM and HCF of the following pairs of integers and verify that LCM × HCF = product of the two numbers. (i) 26 and 91
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Mock Test Series
Mock Test Series