Real Numbers Test

Result

Real Numbers Test - 14

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Weekly Quiz Competition

Question 1
1 / -0

All non-terminating and non-recurring decimal numbers are

A
rational numbers

B
natural numbers

C
irrational numbers

D
integers

Solution

All non-terminating and non-recurring decimal numbers are irrational numbers. A number is rational if and only if its decimal representation is repeating or terminating.
Question 2
1 / -0

A rational number can be expressed as a terminating decimal if the denominator has the factors

A
2, 3 or 5 only

B
2 or 5 only

C
2 only

D
2 or 3 only

Solution

A rational number can be expressed as a terminating decimal if the denominator has the factors 2 or 5 or both.

If denominator has 10 only which has factors 2 and 5 only

any other factors in the denominator yield a non-terminating decimal expansion
Question 3
1 / -0

A rational number can be expressed as a non-terminating repeating decimal if the denominator has the factors

A
2 or 3 only

B
2 or 5 only

C
other than 2 or 5 only

D
none of these

Solution

A rational number can be expressed as a non-terminating repeating decimal if the denominator has the factors other than 2 or 5 only.
Question 4
1 / -0

Let p/q be a rational number. Then, the condition on q such that p/q has a non-terminating but repeating decimal expansion is:

A
q = 2^m×5ⁿ;m,n are whole numbers.

B
q ≠ 2^m×3ⁿ;m,n are whole numbers

C
q = 2^m×3ⁿ;m,n are whole numbers

D
q ≠ 2^m×5ⁿ;m,n are whole numbers

Solution

p/q has a non-terminating but repeating decimal expansion if q ≠ 2^m×5ⁿ;m,n are whole numbers.
Question 5
1 / -0

Which of the following numbers has terminating decimal expansion?

A
3/7

B
3/11

C
5/3

D
3/5

Solution

3/5 has terminal decimal expansion because terminal decimal expansion should have the denominator 2 or 5 only.

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Real Numbers Test - 14

Result

Real Numbers Test - 14

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Question 1

rational numbers

natural numbers

irrational numbers

integers

Solution

Question 2

2, 3 or 5 only

2 or 5 only

2 only

2 or 3 only

Solution

Question 3

2 or 3 only

2 or 5 only

other than 2 or 5 only

none of these

Solution

Question 4

q = 2m×5n;m,n are whole numbers.

q ≠ 2m×3n;m,n are whole numbers

q = 2m×3n;m,n are whole numbers

q ≠ 2m×5n;m,n are whole numbers

Solution

Question 5

3/7

3/11

5/3

3/5

Solution

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q = 2^m×5ⁿ;m,n are whole numbers.

q ≠ 2^m×3ⁿ;m,n are whole numbers

q = 2^m×3ⁿ;m,n are whole numbers

q ≠ 2^m×5ⁿ;m,n are whole numbers