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7th Grade > Mathematics

RATIONAL NUMBERS MCQs

Total Questions : 120 | Page 11 of 12 pages
Question 101.


What should be added to 34 to get 516?


  1.     1216
  2.     1316
  3.     1116
  4.     1716
 Discuss Question
Answer: Option D. -> 1716
:
D

Let the number to be added be x.


34+x=516


x=516+34=516+1216=1716.


Question 102.


Find the value of x such that 11x is not a rational number.


  1.     1
  2.     2
  3.     -1
  4.     0
 Discuss Question
Answer: Option D. -> 0
:
D

A number which can be written in the form pq , where p and q are integers and q ≠ 0 is called a rational number.
By the above definition, pq can be a rational number only when q ≠ 0.
So, for the given fraction to be not a rational number, x should be zero.
For all the other given values of x, we will obtain a rational number.
For example, when x = 1,
11x=111=11 
when x = 2,
11x=112=5.5 
when x = -1,
11x=111=11 


Question 103.


State whether the following is true or false.


-1413<16


  1.     True
  2.     False
  3.     815
  4.     820
 Discuss Question
Answer: Option A. -> True
:
A

By using the number line, we know that the statement is true.


State Whether The Following Is True Or False.-1413<16


Question 104.


4422 in simplified form is __.


 Discuss Question
Answer: Option A. -> True
:

4422=21    [Dividing both numerator and denominator by 22]
21=2


Question 105.


Write a rational number equivalent to 23 whose numerator is 8.


  1.     821
  2.     812
  3.     815
  4.     820
 Discuss Question
Answer: Option B. -> 812
:
B

Consider 23.
To make the numerator 8, we have to multiply the numerator by 4.


Therefore, multiplying both numerator and denominator by 4 gives the required number.
2×43×4=812


Therefore, required rational number is 812.


Question 106.


Define Rational Number. [1 MARK]


 Discuss Question
Answer: Option B. -> 812
:

Any number which can be represented in the form of pq where p and q are integers and q0 is a rational number. 


Question 107.


Which of these is not a rational number and why?   [2 MARKS]
 39,411,2,π


 Discuss Question
Answer: Option B. -> 812
:
Answer: 1 Mark
Reason: 1 Mark
A rational number is one which has an integer as its numerator and denominator but the denominator cannot be equal to zero. Hence, the rational numbers here are: 39,411
As the numbers 2,π cannot be written in simple fractions therefore thay are irrational ( Note: π=227 is a popular approximation, but it is not accurate.)
Question 108.


What is the value of additive inverse of [2 MARKS]
(i) 78
(ii) 12


 Discuss Question
Answer: Option B. -> 812
:

Each part: 1 Mark 
(i) Additive Inverse of 78 will be -78 since the sum of both is 0.
(ii) Additive Inverse of 12  will be -12, since their sum will be 0. 


Question 109.


The Diagram Shows A Circle With Radius 3 And centre at O....
The diagram shows a circle with radius 3 and centre at O. 
The circumference and the area of this circle are rational or irrational? [2 MARKS]


 Discuss Question
Answer: Option B. -> 812
:

Formula: 1 Mark
Answer: 1 Mark

The circumference is given by the formula C=2×π×r
So, C=2×π×3=6π
The area is given by the formula  A=π×r2
So, A=π×32=9×π
As, π is irrational, so the circumference and area are both irrational.


Question 110.


Give the additive inverse of the reciprocal of: [2 MARKS] 
(i) 25
(ii) 1716


 Discuss Question
Answer: Option B. -> 812
:
Each part: 1 Mark
(i) Reciprocal of 25=52
Additive Inverse of 52=52
(ii) Reciprocal of 1716=1617
Additive Inverse of 1617=1617

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