Is the statement given below true or false For every irrational real number a there are irrational real numbers b

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(#M40017742) CAT question SELF Keep an EYE

Is the statement given below true or false ? "For every irrational real number a, there are irrational real numbers b and b‟ so that a + b and ab‟ are both rational while ab and a + b‟ are both irrational."
Option
A True
B False
C Cannot say: Asked In CAT AVINAS SHARMA (11 years ago); Unsolved; Is this Puzzle helpful? (2) (0) Submit Your Solution

Dimple

India

Punjab

Time: 00:01:33

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Maths Quotes

If I am given a formula and I am ignorant of its meaning, it cannot teach me anything, but if I already know it what does the formula teach me?

Saint Augustine of Hippo

A MAN IS LIKE A FRACTION WHOSE NUMERATOR IS WHAT HE IS AND WHOSE DENOMINATOR IS WHAT HE THINK ABOUT HIMSELF LARGER THE DENOMINATOR SMALLER THE FRACTION

UNKNOWN

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Latest CAT Aptitude Question SOLUTION: Is the statement given below true or false ? "For every irrational real number a, there are irrational real numbers b and b‟ so that a + b and ab‟ are both rational while ab an