Home › CAT › quantitativeaptitude › Number System › The product of a non-zero rational number and an…
The product of a non-zero rational number and an irrational number is always:
ARational
BIrrational
CEither rational or irrational
DZero
Answer & Solution
Correct answer: B. Irrational
If r is a non-zero rational and x is irrational, then r × x must be irrational. If it were rational, then x = (r × x) / r would be rational (a ratio of two rationals), contradicting x being irrational.
Related questions
If the number x4738 is divisible by 9, what is the value of x?The least common multiple (LCM) of 14, 42 and 77 is:If the number x3339 is divisible by 11, what is the digit x?The HCF of 156, 312 and 195 is:What is the HCF of 16, 72 and 28?Which of the following numbers is NOT a perfect cube?What is the three-digit number which is 2 more than a perfect square and 2 less than a perWhat is the square of 349?