1). H.C.F. of 6, 72 and 120 is ________________.
6
2). 156 as a product of its prime factors _____________
`2^{2}\times3\times13`
3). If a = bq + r, least value of r is ________________.
Zero
4). If every positive even integer is of the form 2q, then every positive odd integer is of the form _________, where q is some integer.
2q + 1
5). The exponent of 2 in the prime factorisation of 144, is _____________.
4
6). `\sqrt{2}`, `\sqrt{3}`, `\sqrt{6}`, etc are _____________ numbers.
Irrational
7). `7\sqrt{5}` is a/an ___________ number.
Irrational
8). An algorithm which is used to find HCF of two positive numbers is ______________.
Euclid’s division algorithm
9). `6+\sqrt{2}` is a/an ____________ number.
Irrational
10). Every point on the number line corresponds to a ______________ number.
Real
11). A ___________ is a proven statement used for proving another statement.
lemma
12). The product of three numbers is _____________ to the product of their HCF and LCM.
Not equal
13). L.C.M. of 96 and 404 is ________________.
9696
14). If p is a prime number and it divides `a^{2}` then it also divides ___________, where a is a positive integer.
a
15). `\frac{35}{50}` is a __________ decimal expansion.
terminating
16). An ___________ is a series of well defined steps which gives a procedure for solving a type of problem.
algorithm
17). Every real number is either a ___________ number or an ___________ number.
Rational, Irrational
18). Euclid’s Division Lemma is a restatement of ______________.
Long division process
19). `\frac{1}{\sqrt{2}}` is a/an ___________ number.
Irrational
20). Numbers having non-terminating, non-repeating decimal expansion are known as _____________.
Irrational numbers
21). `\sqrt{5}` is a/an ………. number.
irrational