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CBSE Class 7 Mathematics MCQ
Simple Equations
with Answers
Question 1: Three-fourth of a number is 5 more than 7 . the number is __________ .
(A) 16
(B) 8
(C) 12
(D) 14
Answer : AShow Answer :
Question 2: If I add three-eight to one eight of a number , I get zero . The number is __________ .
(A) 0
(B) 3
(C) -3
(D) none of thes
Answer : CShow Answer :
Question 3: If three-fifth of a number is four more than half of a number , then what is the number ?
(A) 20
(B) 30
(C) 40
(D) 50
Answer : CShow Answer :
Question 4: The value of x in the equation 4x/3 = 7 – x is _________ .
(A) 3
(B) 4
(C) 5
(D) 6
Answer : AShow Answer :
Question 5: A number increased by 20 and then reduced by 15 becomes 10 . Then the number is ___________ .
(A) 2
(B) 5
(C) 6
(D) 7
Answer : BShow Answer :
Question 6: The number which when added to its half gives 30 . The number is _______ .
(A) 10
(B) 20
c. 40
(D) 60
Answer : BShow Answer :
Question 7: The sum of two consecutive multiples of 6 is 66 . Find the multiples ?
(A) 32 , 34
(B) 42 , 24
(C) 30 , 36
(D) none of these
Answer : CShow Answer :
Question 8: After 12 years I shall be 3 times as old as I was 4 years ago . Find my present age ?
(A) 12
(B) 13
(C) 14
(D) 15
Answer : AShow Answer :
Question 9: Two –third of a number subtracted from 10 gives 10 . Then the number is ___________.
(A) 30
(B) 10
(C) 0
(D) none of these
Answer : CShow Answer :
Question 10: The value of the variable in the equation 5( -7x+3 ) = x – 21 is __________ .
(A) 1
(B) 2
(C) -1
(D) -2
Answer : AShow Answer :
Question 11: If the difference of a number and 9 is 13 , then the number is ___________ .
(A) 22
(B) 7
(C) 16
(D) 9
Answer : AShow Answer :
Question 12: In a class of 40 students , the number of girls is z/3 of boy’s . Then how many girls are there in the class ?
(A) 16
(B) 24
(C) 26
(D) none of these
Answer : AShow Answer :
Question 13: Write an equation for three fourth of t is 15.
(A)
(B)
(C)
(D) none of these
Answer : (a) Show Answer :
t when multiplied by 3 and divided by 4 becomes 15.
Question 14: The sum of three consecutive number be 78 . Find the number ?
(A) 75
(B) 55
(C)25
(D)45
Answer : CShow Answer :
Question 15: x is a number such that three times x is 36 . Which of these will be equal to 8?
a. x/6
(B) x/3
(C)zx/3
(D) 3x/4
Answer : CShow Answer :
Question 16: Raju reads z/3 of a book . He finds that there are still 100 pages to be read . The total number of pages in the book are .
(A) 100
(B) 200
(C) 300
(D) none of these
Answer : CShow Answer :
Question 17: Measures of three angles of a Δle are 2x°, ( 3x + 15 )°and ( 8x – 30 )° . then the measures of angles are …
(A) 30 , 60 , 90
(B) 45 , 45 , 90
(C) 60 , 60 , 60
(D) none of these
Answer : AShow Answer :
Question 18: Dileep has 3 more marbles than Rohit . If both have 95 marbles then Dileep has _____ number of marbles .
(A) 45
(B) 46
(C) 47
(D)45
Answer : BShow Answer :
Question 19: The equation for the statement “ 6 less from thrice a number m is 18 “ is _________ .
(A) 3m – 6 = 18
(B) 6 – 3m = 18
(C) 6 ÷ 3m = 18
(D) none of these.
Answer : AShow Answer :
Question 20: The solution of the equation m – 7 = 3 is m =
(A) 15
(B) 12
(C) 10
(D) None of these
Answer : (c) 10Show Answer :
Question 21: Solve the given equation : x + 6 = 2.
(A) 4
(B) 6
(C) -4
(D) None of these
Answer : (c) – 4Show Answer :
Subtracting 6 from both sides.
Question 22: By solving the equation 2a – 2 = 20, the value of ‘a’ will be
(A) 12
(B) 14
(C) 11
(D) 13
Answer : (c) 11Show Answer :
Question 23: The solution of the equation 4m – 2 = 18 is m =
(A) 4
(B) 6
(C) 5
(D) none of these
Answer : (c) 5Show Answer :
Question 24: Write an equation in statement form : 2m = 7.
(A) Two times of a number m is 7.
(B) Two added to m becomes 7.
(C) Two subtracted from m becomes 7.
(D) None of these.
Answer : (a) Two times of a number m is 7.Show Answer :
m when multiplied by 2 becomes equal to 7.
Question 25: Write the statements “Seven times a number plus 7 gets you 77”in the form of equations:
(A) 7x + 7 = 77
(B) 7x – 7 = 77
(C) 7x + 6 = 66
(D) None of these
Answer : (a) 7x + 7 = 77Show Answer :
Question 26: The solution of the equation
(a)2
(B) 3
(C) 12
(D) 6
Answer : (d)Show Answer :
Question 27: The solution of the equation 7n + 5 = 12 is
(A) 0
(B) – 1
(C) 1
(D) 5
Answer : (c)Show Answer :
Question 28: The solution of the equation 4p – 3 = 9 is
(A) 1
(B) 2
(C) 3
(D) 4
Answer : (c)Show Answer :
Question 29: The solution of the equation 5p + 2 = 7 is
(A) 0
(B) 1
(C) – 1
(D) 2
Answer : (b)Show Answer :
Question 30: The solution of the equation 3p – 2 = 4 is
(A) 0
(B) 1
(C) 2
(D) 3
Answer : (c)Show Answer :
Question 31: The solution of the equation p + 4 = 4 is
(A) 0
(B) 4
(C) – 4
(D) 8
Answer : (a)Show Answer :
Question 32: The solution of the equation m – 1 = 2 is
(A) 1
(B) 2
(C) 3
(D) 6
Answer : (c)Show Answer :
Question 33: The solution of the equation 2m = 4 is
(A) 1
(B) 2
(C) -1
(D) -2
Answer : (b)Show Answer :
Question 34: Solve the given equation : 3n – 2 = 46.
(A) 16
(B) 12
(C) 14
(D) None of these
Answer : (a) 16Show Answer :
After adding 2 on both sides then dividing both sides by 3.
Question 35: Which is a solution of the equation 4x – 3 = 13?
(A) x = 5
(B) x = 3
(C) x = 4
(D) None of these
Answer : (c) x = 4Show Answer :
Question 36: Write an equation for If you take away 6 from 6 times y you get 60.
(A) 6y – 6 = 60
(B) 6y + 6 = 60
(C) 6y ÷ 6 = 60
(D) None of these
Answer : (a) 6y – 6 = 60Show Answer :
y multiplied by 6 and after subtraction of 6 result becomes 60.
Question 37: Which is a solution of the equation 2x = 12?
(A) x = 4
(B) x = 6
(C) x = 5
(D) x = 7
Answer : (b) x = 6Show Answer :
Question 38: Write an equation for 2 subtracted from y is 8.
(A) y – 2 = 8
(B) 2y = 8
(C) y + 2 = 8
(D) None of these
Answer : (d) None of theseShow Answer :
2 subtracted from y becomes 8.
Question 39: Write the statements “If you take away 6 from 6 time a number, you get 60”in the form of equations:
(A) 6x + 6 = 60
(B) 6x – 5 = 60
(C) 6x – 6 = 60
(D) None of these
Answer : (c) 6x – 6 = 60Show Answer :
Question 40: Solve the given equation :
(A) 6
(B) 3
(C) 12
(D) None of these
Answer : (c) 12Show Answer :
Multiplying both sides by 2.
Question 41: The solution of the equation
(A) 5
(B) 6
(C) 7
(D) none of these
Answer : (b) 6Show Answer :
Question 42: Write an equation for one fourth of a number x minus 4 gives 4.
(A) 4x + 4 = 4
(B) 4x – 4 = 4
(C)
(D) none of these
Answer : (c) Show Answer :
x divided by 4 and subtract 4 from it result becomes 4.
Question 43: Write the statements “The sum of three times x and 11 is 32” in the form of equations:
(A) 3x + 11 = 32
(B) 3x – 11 = 34
(C) 5x – 7 = 2
(D) None of these
Answer : (a) 3x + 11 = 32Show Answer :
Question 44: Write the solution of x – 1 = 0.
(A) 1
(B) – 1
(C) 0
(D) None of these
Answer : (a) 1Show Answer :
Adding both side 1 we get 0.
Question 45: If 0.2(2x−1)−0.5(3x−1) = 0.4, what is the value of x?
(A)
(B)
(C)
(D)
Answer : (b) Show Answer :
Question 46: Write an equation for the number b divided by 5 gives 6.
(A)
(B) 5b = 6
(C) b + 5 = 6
(D) None of these
Answer : (a) Show Answer :
b divided by 5 becomes 6.
Question 47: Write the statements “If you subtract 5 from 6 times a number, you get 7.”in the form of equations:
(A) 6x – 5 = 7
(B) 3x – 11 = 34
(C) 5x – 7 = 2
(D) None of these
Answer : (a) 6x – 5 = 7Show Answer :
Question 48: Write an equation for— If you add 3 to one third of x you get 30.
a) 3x + 3 — 30
(B)
(C) 3x ÷ 3 = 30
(D) None of these
Answer : (b) Show Answer :
x divided by 3 and after addition of 3 result becomes 30.
Question 49: Which is a solution of the equation x + 4 = 6?
(A) x = 5
(B) x = 3
(C) x = 2
(D) x = 4
Answer : (c) x = 2Show Answer :
Question 50: Write at least one other form for 5p = 20.
(A) Five times of a number p is 20
(B) 5 added to p is 20
(C) 5 divided by p is 20
(D) None of these
Answer : (a) Five times of a number p is 20Show Answer :
20 is product of 5 and p.
Question 51: The solution of the equation 3x + 7 = 25 is x =
(A) 6
(B) 4
(C) 5
(D) None of these
Answer : (a) 6Show Answer :
Question 52: Write an equation in statement form : m minus seven gives 3.
(A) m + 7 = 3
(B) 7m = 3
(C) m – 7 = 3
(D) None of these
Answer : (c) m – 7 = 3Show Answer :
Seven is subtracted from m gives 3 as result.
Question 53: One – fifth of a number minus 4 gives 3. Find which of the following is the number?
(A) 21
(B) 4
(C) 15
(D) 35
Answer : (d) 35Show Answer :
Question 54: Write an equation for the sum of numbers x and 4 is 9.
(A) 4x = 9
(B) 4 – x = 9
(C) x + 4 = 9
(D) None of these
Answer : (c) x + 4 = 9Show Answer :
4 added to x becomes 9.
Question 55: In a coconut grove, (x+2) trees yield 60 coconuts per year, x trees yield 120 coconuts per year and (x−2) trees yield 180 coconuts per year. If the average yield per year per tree is 100, find x.
(A) 4
(B) 3
(C) 2
(D) 1
Answer : (a) 4Show Answer :
Question 56: Solve the given equation : 3l = 42.
(A) 14
(B) 3
(C) 0
(D) None of these
Answer : (a) 14Show Answer :
On dividing by 3 on both sides.
Question 57: Which is a solution of the equation 5x + 2 = 17?
(A) x = 4
(B) x = 2
(C) x = 3
(D) x = 5
Answer : (c) x = 3Show Answer :
Question 58: n + 5 = 19. Find the solution of given equation.
(A) n = 13
(B) n = 14
(C) 15
(D) None of these
Answer : (b) n = 14Show Answer :
5 added to 14 becomes 19.
Question 59: Which of the following equations can be constructed with x = 2?
(A) 3x+4=8
(B) 3x−4=2
(C) 3x+4=2
(D) 3x−4=8
Answer : (b) 3x−4=2Show Answer :
Question 60: Write an equation in statement form :
(A) p multipbed by 2 and plus 2 is 8.
(B) p added to 2 becomes 8.
(C) Half a number of p plus 2 is 8.
(D) none of these
Answer : (c) Half a number of p plus 2 is 8.Show Answer :
p divided by 2 and result becomp.8 after adding 2 to it.
Question 61: The solution of the equation 2m = 7 is m =
(A) 14
(B)
(C)
(D) None of these
Answer : (b) Show Answer :
Question 63: Write an equation for Ten times a is 70.
(A) a +10 = 70
(B) a – 10 = 70
(C) 10a = 70
(D) None of these
Answer : (c) 10a = 70Show Answer :
a when multiplied by 10 becomes 70.
Question 64: Write the following statement in the form of an equation:
The sum of three times x and 10 is 13.
(A) 3x + 10 = 13
(B) 3x – 10 = 13
(C) 3x + 13 = 10
(D) none of these
Answer : (a)Show Answer :
Question 65: Write the following statement in the form of an equation:
If you subtract 3 from 6 times a number, you get 9
(A) 3x – 6 = 9
(B) 6x – 3 = 9
(C) 6x + 3 = 9
(D) 3x + 6 = 9
Answer : (b)Show Answer :
Question 66: Write the following statement in the form of an equation:
One fourth of n is 3 more than 2
(A)
(B)
(C)
(D)
Answer : (a)Show Answer :
Question 66: Write the following statement in the form of an equation:
One third of a number plus 2 is 3
(A)
(B)
(C)
(D)
Answer : (b)Show Answer :
Question 67: Write the following statement in the form of an equation:
Taking away 5 from x gives 10
(A) x – 5 = 10
(B) x + 5 = 10
(C) x – 10 – 5
(D) none of these
Answer : (a)Show Answer :
Question 68: Write the statement “p multiplied by 16” in the form of expression.
(A) 16p
(B) p + 16
(C) p – 16
(D) 16 – p
Answer : (a) 16pShow Answer :
Question 69: Write an equation for seven times m plus 7 gets you 77.
(A) 7m + 7 = 77
(B) 7m – 7 = 77
(C) 7m ÷ 7 = 77
(D) None of these
Answer : (a) 7m + 7 = 77Show Answer :
multiplied by 7 and 7’added to it result becomes 77.
Question 70: Write the statements “2 subtracted from a number is 8” in the form of equations:
(A) x – 8 = 2
(B) x – 2 = 8
(C) x – 5 = 8
(D) None of these
Answer : (b) x – 2 = 8Show Answer :
Question 71: Write an equation in statement form : p + 4 = 15.
(A) The sum of numbers p and 4 gives 15.
(B) The multiplication of numbers p and 4 gives 15.
(C) The division of numbers p and 4 gives 15.
(D) None of these.
Answer : (a) The sum of numbers p and 4 gives 15.Show Answer :
Addition of x and 4 becomes 15.
Question 72: Write the following statement in the form of an equation:
Four times a number p is 8.
(A) 4P = 8
(B) P + 4 = 8
(C) p – 4 = 8
(D) p ÷ 4 = 8
Answer : (a)Show Answer :
Question 73: Write the following statement in the form of an equation:
Add 1 to three times n to get 7
(A) 3n + 1 = 7
(B) 3n – 1 = 7
(C) 3n + 7 = 1
(D) none of these
Answer : (a)Show Answer :
Question 74: Write the following statement in the form of an equation:
The number b divided by 6 gives 5.
(A)
(B) b – 5 = 6
(C) 5b = 6
(D) b + 5 = 6
Answer : (a)Show Answer :
Question 75: The solution of the equation x + 3 = 0 is
(A) 3
(B) – 3
(C) 0
(D) 1
Answer : (b)Show Answer :
Question 76: The solution of the equation x – 6 = 1 is
(A) 1
(B) 6
(C) – 7
(B) 7
Answer : (d)Show Answer :
Question 77: The solution of the equation 5x = 10 is
(A) 1
(B) 2
(C) 5
(D) 10
Answer : (b)Show Answer :
Question 78: The solution of the equation
(A) 3
(B) 6
(C) 9
(D) 12
Answer : (c)Show Answer :
Question 79: The solution of the equation = 6 is
(A) 6
(B) 7
(C) 14
(D) 3
Answer : (c)Show Answer :
Question 80: The solution of the equation 3p + 5 = 8 is
(A) -1
(B) 1
(C) 3
(D) 5
Answer : (b)Show Answer :
Question 81: The solution of the equation 4p – 2 = 10 is
(A) 1
(B) 2
(C) 3
(D) 4
Answer : (c)Show Answer :
Question 82: The solution of the equation
(A) 1
(B) 2
(C) 3
(D) 4
Answer : (d)Show Answer :
Question 83: The solution of the equation 3 m + 7=16 is
(A) 1
(B) 2
(C) 3
(D) 4
Answer : (c)Show Answer :
Question 84: The solution of the equation 2p – 1 = 3 is
(A) 1
(B) 2
(C) 3
(D) 4
Answer : (b)Show Answer :
Question 85: The solution of the equation 4x + 5 = 9 is
(A) 1
(B) 2
(C) 3
(D) 4
Answer : (a)Show Answer :
Question 86: The solution of the equation 10 y – 20 = 30 is
(A) 1
(B) 2
(C) 3
(D) 5
Answer : (d)Show Answer :
Question 87: The solution of the equation y – 4 = – 1 is
(A) 1
(B) 2
(C) 3
(D) 4
Answer : (c)Show Answer :
Question 88: The solution of the equation y + 2 = – 2 is
(A) 2
(B) -2
(C) 4
(D) -4
Answer : (d)Show Answer :
Question 89: The solution of the equation 10t = – 20 is
(A) 1
(B) -1
(C) 2
(D) -2
Answer : (d)Show Answer :
Question 90: The solution of the equation
(A)
(B)
(C)
(D)
Answer : (b)Show Answer :
Question 91: The solution of the equation 2s = 0 is
(A) 2
(B) -2
(C) 0
(D)
Answer : (c)Show Answer :
Question 92: The solution of the equation –
(A) -3
(B) -7
(C) -21
(D) 21
Answer : (c)Show Answer :
Question 93: The solution of the equation 3s + 6 = 0 is
(A) 1
(B) -1
(C) 2
(D) -2
Answer : (d)Show Answer :
Question 94: The solution of the equation 10p = 10 is
(A) 1
(B) – 1
(C) 10
(D) – 10
Answer : (a)Show Answer :
Question 95: The solution of the equation 10p + 10 = 110 is
(A) 10
(B) -10
(C) 100
(D) 110
Answer : (a)Show Answer :
Question 96: The solution of the equation 12p – 11 = 13 is
(A) 1
(B) 2
(C) 3
(D) 4
Answer : (b)Show Answer :
Question 97: The solution of the equation 2 (m + 3) = 8 is
(A) 1
(B) 2
(C) 3
(D) 4
Answer : (a)Show Answer :
Question 98: The solution of the equation – 2(x + 3) = 4 is
(A) -2
(B) -3
(C) -4
(D) -5
Answer : (d)Show Answer :
Question 99: The solution of the equation
(A) 2
(B) 4
(C) 6
(D) 10
Answer : (c)Show Answer :
Question 100: The solution of the equation 4(2 – x) = 4 is
(A) 1
(B) 2
(C) 3
(D) 4
Answer : (a)Show Answer :
Question 101: The solution of the equation – 4(2 + x) = 4 is
(A) – 1
(B) – 2
(C) – 3
(D) – 4
Answer : (c)Show Answer :
Question 102: The solution of the equation – 4 = 2 (p – 2) is
(A) 0
(B) 1
(C) 2
(D) 4
Answer : (a)Show Answer :
Question 103: The solution of the equation 0 = 4 + 4(m + 1) is
(A) 1
(B) – 1
(C) 2
(D) – 2
Answer : (d)Show Answer :
Fill in the blanks:
Question 1: An equation is a condition on a variable such that two expressions in the variable should have ……………
Answer : equal valueShow Answer :
Question 2: The value of the variable for which the equation is satisfied is ealled the ………….. of the equation.
Answer : solutionShow Answer :
Question 3: An equation remains the same if the L.H.S. and the R.H.S. are …………..
Answer : interchangedShow Answer :
Question 4: In case of the balanced equation if we :
(i) …………….. the same number both sides.
Answer : AddShow Answer :
Question 5: (ii). …………. the same number both sides.
Answer : SubtractShow Answer :
Question 6: (iii). …………… both sides by the same number.
Answer : MultiplyShow Answer :
Question 7: (iv)) ……………. both sides by the same number.
Answer : DivideShow Answer :
Question 8: …………….. means moving to the other side.
Answer : TransposingShow Answer :
Question 9: The letters which are used to represent numbers are called ……………..
Answer : variablesShow Answer :
Question 10: A statement of equality involving one or more letters is called an …………….
Answer : equationShow Answer :
Question 11: An equation can be solved by …………… method.
Answer : trial and errorShow Answer :