Consider the following statements 1 is a rational number 2 There exists at least a positive integer ...........

Quantitative Aptitude (CDS) Number System

Download Solution PDF

Consider the following statements :

1. $\sqrt{75}$ is a rational number

2. There exists at least a positive integer x such that - (4x/5)< -(7/8)

3. ( x-2)/x < 1 for all real values of x.

4. 4.232323.... can be expressed in the form of p/q where p and q are integers.

1 and 2

2 and 3

3 and 4

2 and 4

छोटे Courses बड़े Results

Master Number System

Prepare through Micro-courses

Try Now

Explanation:

Statement 1 . $\sqrt{75}$ is a rational number is false.
Statement 2. There exists atleast a positive integer 'x' such that -4x/5< - 7/8
it is true because -4x/5 < - 7/8 => 4x/5>7/8
=> x> 35/32 => x is +ve.
Statement 3.( x-2)/x<1 for all real values of x . It is false because ( x-2) / 2 < 1 => ( x-2-x)/x <0
=> -2/x <0=>2/x>0 => x >0 => x is positive.
statement 4 is true because it is a recurring decimal.