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7th Grade > Mathematics

SIMPLE EQUATIONS MCQs

Total Questions : 118 | Page 6 of 12 pages
Question 51. 2a15=10 and 10=15+2a are not the same equations.
  1.    True
  2.    False
  3.    4,4
  4.    8,10
 Discuss Question
Answer: Option B. -> False
:
B
An equation remains same even if the LHS and RHS are interchanged.
Question 52. Karan and Kundan are two brothers. Presently Karan's age is four times the age of Kundan. After 6 years Karan's age will be twice as that of Kundan. What is the present age of Kundan?
__
 Discuss Question

:
Let the present age of Kundan be x.
So, Karan's present age is 4x.
After 6years,
Kundan's age = (x+6)
Karan's age = (4x+6)
Also, Karan's age would be twice of Kundan.
So, (4x +6) = 2 (x +6)
4x +6 = 2x +12
x = 3
Question 53. Krishna and Karan are on the see-saw.  Krishna's weight is 60 kg and Karan's is 80 kg. Who among the following kids can help Krishna balance the see-saw. (All of them can sit at extreme ends only).
  1.    Peter who has weight of  21 kg
  2.    Alison who has weight of  23 kg
  3.    Pandu who has weight of 20 kg 
  4.    Mahi who has weight of  10 kg
 Discuss Question
Answer: Option C. -> Pandu who has weight of 20 kg 
:
C
It is given that Krishna's weight is 60 kg and Karan's weight is 80 kg. To balance the see-saw Krishna needs another person.
Let the required weight needed to balance the see-saw be xkg
Then, 60+x=80x=8060=20
So, Krishna should take help of a kid who weighs exactly 20 kg. Thus, Pandu would be the correct selection.
Question 54. My granddaughter is 10 years old in 2015. I am 8 more than 6 times her age. I was born in the year 
 Discuss Question

:
Grand daughter's age is 10 years now. So her grandpa's age is
8+6×10=8+60=68
Grandpa is 68years old by 2015. So he was born in 1947.
Question 55. In a quiz program,the correct answer gets you 2 marks. For each wrong answer, one mark is deducted from the total score. There are 50 questions to be answered. If Preeti scored 76 marks for the quiz, how many of her questions were right?
  1.    26
  2.    13
  3.    42
  4.    38
 Discuss Question
Answer: Option C. -> 42
:
C
As the number of questions answered is unknown, let us assume that unknown variable as 'x'.
If the number of questions answered correctly are x, then the number of questions answered incorrectly will be (50x).
For each correct answer, she gets 2 marks. So the marks scored for x correctly answered questions are 2x. Similarly, the marks deducted for (50-x) incorrectly answered questions are (50x)×1=50x
Now, the total marks scored by Preeti will be
2x- (50 -x) = 2x -50 +x = 3x -50 (For each wrong answer, one mark is deducted from the total score)
The final equation is, 3x -50 = 76
3x = 50 +76 = 126
x=1263=42
So, the total number of questions answered correctly by Preeti are 42.
Question 56. Bittu tells Kitty " I have 5 chocolates more than  seven times the number of chocolates you have”, if Kitty has 5 chocolates, how many chocolates does Bittu have ?
___
 Discuss Question

:
The number of chocolates Bittu has
= 5+(7×number of chocolates Kitty has)=5+(7×5)
=40
Question 57. If 50 is subtracted from a number , the result is 4. Find the number.
  1.    54
  2.    46
  3.    25
  4.    45
 Discuss Question
Answer: Option A. -> 54
:
A
Let us say 'x' is the number . Given that50 is subtracted from it and the result obtained is 4.
So mathematically, x50=4 is the equation.
Thus, x=50+4=54
54 is the number.
Question 58. There is always an equality sign in an equation.
  1.    True
  2.    False
  3.    4,4
  4.    8,10
 Discuss Question
Answer: Option A. -> True
:
A
An expression having equality sign is called an equation.
Question 59.


Is 4x+7 an equation? [1 MARK]


 Discuss Question
Answer: Option A. -> True
:

No, because every equation must be equated with some quantities by including "=”. So, the given problem is an expression.


Question 60.


Find x, when 3x+57=167.  [2 MARKS]


 Discuss Question
Answer: Option A. -> True
:

Steps: 1 Mark
Result: 1 Mark

3x+57=167
Or, (3x+5)×7=16×7
Or, 21x+35=112
Or, 21x=11235
Or, 21x=77
Or, x=7721=113.


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