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7th Grade > Mathematics

RATIONAL NUMBERS MCQs

Total Questions : 120 | Page 6 of 12 pages
Question 51. Which of these is not a rational number and why?   [2 MARKS]
 39,411,2,π
 Discuss Question

:
Answer: 1 Mark
Reason: 1 Mark
A rational number is one which has an integer as itsnumerator and denominator but the denominator cannot be equal to zero. Hence, the rational numbers here are:39,411
As the numbers2,π cannot be written in simple fractions therefore thay are irrational ( Note: π=227 is a popular approximation, but it is not accurate.)
Question 52. What is the quotient, when a non-zero rational number is divided by its additive inverse?
  1.    0
  2.    -1
  3.    1
  4.    2
 Discuss Question
Answer: Option B. -> -1
:
B
Letpqbe a non-zero rational number.Thenp,q0.
Its additive inverse ispq.
That is,pq+pq=pq+pq=0
On dividingpqbypq,we get-1.
Question 53. Which of the following is obtained by the subtraction of 1/2 from its reciprocal
  1.    1
  2.    3/2
  3.    1/2
  4.    2/3
 Discuss Question
Answer: Option B. -> 3/2
:
B
Question 54. From a rope of length 40.50 m, some
pieces are cut each measuring 94 m.
Find the number of pieces cut.
  1.    15
  2.    18
  3.    22
  4.    9
 Discuss Question
Answer: Option B. -> 18
:
B
Converting all the lengths into centimetre.
Total length of the rope = 4050 cm,
Length of each piece
=94×100=9004
Number of Pieces
=TotallengthLengthofeachpiece

Number Of Pieces Cut
=4050(9×100)4=18

=4050×4(9×100)=18
Number of pieces cut = 18.
Question 55. 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 numeratorby 4.
Therefore, multiplying bothnumerator and denominator by 4 gives the required number.
2×43×4=812
Therefore, required rational number is812.
Question 56. 4422 in simplified form is __.
 Discuss Question

:
4422=21 [Dividing both numerator and denominator by 22]
21=2
Question 57. 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 58. What number must be subtracted from
14  to get 12?
  1.    12
  2.    −14
  3.    1
  4.    -1
 Discuss Question
Answer: Option B. -> −14
:
B
Let the number be x.
14x=12
x=1412=14
Question 59. 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 60. 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 givenvalues 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

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