For some integer m, every even integer is of the form
\(m\)
\(m + 1\)
\(2m\)
\(2m + 1\)
For some integer \(q\), every odd integer is of the form
\(q\)
\(q + 1\)
\(2q\)
\(2q + 1\)
\(n^2 – 1\) is divisible by 8, if \(n\) is
an integer
a natural number
an odd integer
an even integer
If the HCF of 65 and 117 is expressible in the form \(65m – 117\), then the value of \(m\) is
4
2
1
3
The largest number which divides 70 and 125, leaving remainders 5 and 8, respectively, is
13
65
875
1750
If two positive integers a and b are written as \(a = x^3y^2\) and \(b = xy^3\); \(x, y\) are prime numbers, then \(HCF(a, b)\) is
\(xy\)
\(xy^2\)
\(x^3y^3\)
\(x^2y^2\)
If two positive integers p and q can be expressed as \(p = ab^2\) and \(q = a^3b\); \(a, b\) being prime numbers, then \(LCM(p, q)\) is
\(ab\)
\(a^2b^2\)
\(a^3b^2\)
\(a^3b^3\)
The product of a non-zero rational and an irrational number is
always irrational
always rational
rational or irrational
one
The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is
10
100
504
2520
The decimal expansion of the rational number \(\dfrac{14587}{1250}\) will terminate after:
one decimal place
two decimal places
three decimal places
four decimal places