Playing with Numbers Test

Result

Playing with Numbers Test - 1

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Question 1
1 / -0

What fraction of numbers between 2 and 12 (both inclusive) are prime numbers?

A
5/10

B
4/10

C
4/11

D
5/11

Solution

Natural numbers from 2 to 12 = 11 (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12)

Prime numbers = 5 (2, 3, 5, 7, 11)

Fraction of numbers that are prime = 5 out of 11 = 5/11
Question 2
1 / -0

I had 12 boxes. I gave 3 boxes to Ajay. What fraction of the boxes is left with me?

A
3/12

B
12/3

C
9/12

D
12/9

Solution

Total boxes = 12

Boxes given to Ajay = 3

Boxes left = 12 - 3 = 9

Fraction of the boxes left = 9 out of 12 = 9/12
Question 3
1 / -0

Which of the following statements is true for proper fractions?

A
Numerator is always zero.

B
Denominator is always zero.

C
Numerator is always less than the denominator.

D
Numerator is always greater than the denominator.

Solution

Proper fractions have a numerator that is always less than denominator.
Example: 1/2 is a proper fraction.

Here, the numerator is 1 & the denominator is 2.

Clearly 1 < 2 i.e. the numerator is less than the denominator.
Question 4
1 / -0

Which of the following options represents a fraction in the simplest form?

A
If the numerator is greater than the denominator

B
If the numerator is less than the denominator

C
If the numerator and the denominator have no common factor except 1

D
If the numerator and the denominator are equal

Solution

A simple fraction is the fraction which cannot be further reduced. The numerator and denominator have '1' as a common factor.

Example: 2/3 is in its simplest form.