Rational Numbers Test

Result

Rational Numbers Test - 5

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Weekly Quiz Competition

Question 1
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p: All integers are rational numbers.
q: Every rational number is an integer.

Which of the following statements is correct?

A
p is false and q is true.

B
p is true and q is false.

C
Both p and q are true.

D
Both p and q are false.

Solution

Since, every integer having a denominator 1 can be expressed in P/q form, p is true. Since, a rational number with denominator other than 1 is not an integer (e.g., 3/5), q is false.
Question 2
1 / -0

Rational numbers can be represented on the number line.

A
true

B
false

C
both true and false

D
none of these

Solution

All real numbers can be represented on a number line and rational numbers are also real numbers. Thus rational numbers can also be represented on the number line.
Question 3
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Raju earns Rs 34000 per month. He spends 1/4 th of his income on food, 3/10 th of the remainder on house rent and 5/21 th of the remainder on education of children. How much money is still left with him?

A
13100

B
13200

C
13300

D
13600

Solution

Raju's total monthly income = Rs 34000

Raju’s expenses on food = 1/4×34000

= 8500

Remaining money = 34000 - 8500 = 25500

House rent = 3/10×25500

= 7650

Now, remaining money = 25500 – 7650 = 17850

Education of children = 5/21×17850

= 4250

Left money = 17850 – 4250 = 13600
Question 4
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The product of two rational numbers is −9/16.If one of the numbers is −4/3,then the other number is ____.

A
36/48

B
25/64

C
27/49

D
27/64

Solution

Let the other number be x. Then, x×(−4/3)=−9/16⇒
x=−9/16×(3/−4)⇒x=27/64