Number System Test

Result

Number System Test - 2

Score
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Weekly Quiz Competition

Question 1
1 / -0

Which of the following statements is false?

A
Every integer is a real number.

B
Every natural number is a whole number.

C
Every rational number is an integer.

D
Some fractions can be non-terminating but repeating decimals.

Solution

(i) A real number is any positive or negative number. This includes all integers and all rational and irrational numbers. Thus, the statement in option 1 is true.

(ii) Whole numbers are collection of all natural numbers and 0. Thus, the statement in option 2 is true.

(iii) The statement in option 3 is false as some rational numbers like 10/3 are not integers.

10/3 = 3.3

(iv) Some fractions like 10/3 = 3.333... can be non-terminating but repeating decimals. Thus, the statement in option 4 is also true.
Question 2
1 / -0

For which of the following is the relation -x > y always true?

A
x = positive integer and y = negative integer

B
x = negative integer and y = negative integer

C
x = positive integer and y = positive integer

D
x = negative integer and y = positive integer

Solution

For the given relation to be always true, final value of the left-hand side should be positive and final value of the right-hand side should be negative.
If x and y are both negative integers, then

-(-x) > -y
x > -y, which is always true.