EASY
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If x,y,z are three real numbers,x0 and xy=xz, then 

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Important Questions on Number System

EASY
Which is not an irrational number?
MEDIUM
State whether the real number, 1.7320508 is Rational Number or Irrational Number.
EASY
In a class test containing 10 questions, 5 marks are awarded for every correct answer and (2) marks are awarded for every incorrect answer and 0 for each question not attempted. Heena gets 2 correct and 5 incorrect answers. What is her score?
MEDIUM
The real number 3.3000300003000003 is _____ number. (rational/irrational)
EASY
Which of the following is not an irrational number?
MEDIUM
Prove that p+q is irrational, where p and q are primes.
EASY

Find the following product:

(5)×(8)×(3)

MEDIUM

Write down whether 2.645713... is _____ number (rational or irrational).

EASY
In a class test containing 10 questions, 5 marks are awarded for every correct answer and (2) marks are awarded for every incorrect answer and 0 for each question not attempted. Reenu gets 5 correct and 5 incorrect answers. What is her score?
MEDIUM

Write if the number 0.120120012000120000 is _____ number (Rational/Irrational)

EASY

Which of the following decimal expansions are rational. If they are rational pq, then write down the prime factors of q.

0.240240024000240000....

MEDIUM
The product of two irrational numbers is an irrational number.
MEDIUM
The real number, 0.020020002200002  is _____ Number (Rational or Irrational).
EASY
What is the multiplicative inverse of 17 ?
MEDIUM
Prove that 3+5 is irrational.
MEDIUM
The real number, 2.313313313331 is _____ number (rational or irrational)
EASY
In a class test containing 10 questions, 5 marks are awarded for every correct answer and (2) marks are awarded for every incorrect answer and 0 for each question not attempted. Ravi gets 4 correct and 6 incorrect answers. What is his score?