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CBSE Questions for Class 10 Maths Pair Of Linear Equations In Two Variables Quiz 7 - MCQExams.com

Solve the following pairs of linear (simultaneous) equation by the method of elimination:
x+y=7, 5x+12y=7
  • x=13 and y=5
  • x=11 and y=4
  • x=7 and y=2
  • x=5 and y=7
Solve the following pair of equations:
2x3y3=0
2x3+4y+12=0
  • x=12;y=76
  • x=2120;y=310
  • x=145;y=611
  • x=1819;y=1610
Solve the following pair of equations :
7x+6y=71
5x8y=23
  • x=2;y=7
  • x=5;y=6
  • x=4;y=9
  • x=1;y=8
Solve the following pair of equations :
y=2x6
y=0
  • x=3 
  • x=4 
  • x=6 
  • x=4 
Solve :
x+y=2xy
xy=6xy
  • x=12 and y=17
  • x=12 and y=14
  • x=12 and y=12
  • x=12 and y=15
Solve graphically, the following pairs of equations:
3x+7y=27
8y=52x
  • x=2,y=3
  • x=7,y=2
  • x=4,y=1
  • x=4,y=6
Solve the following pair of equations:
3(x5)=y+2
2(x+y)=43y
  • x=167;y=45
  • x=45;y=178
  • x=185;y=45
  • x=263;y=83
Solve: 20x+y+3xy=7 and 8xy15x+y=5
  • x=3 and y=2
  • x=2 and y=7
  • x=9 and y=4
  • x=1 and y=9
Solve for x and y:
mxny=m2+n2, xy=2n
  • x=m+n;y=mn
  • x=mn;y=mnn
  • x=m+mn;y=m+n
  • x=mnn;y=mn
Divide 80 into two numbers, such that 5 times one number is equal to 3 times the other number.
  • 30 and 50
  • 35 and 52
  • 40 and 60
  • 22 and 49
Solve, graphically, the following pairs of equations:
2x+y=23
4xy=19
  • x=7,y=7
  • x=7,y=3
  • x=7,y=6
  • x=7,y=9
A and B both have some pencils. If A gives 10  pencils to B, then B will have twice as many as A. And if B gives 10  pencils to A, then they will have the same number of pencils. How many pencils does each has?
  • A = 20  and B = 55
  • A = 20  and B =  60
  • A = 30  and B = 50 
  • A = 50  and B = 70
Solve the following pair of equations:
axby=0
ab2x+a2by=a2+b2
  • x=ab and y=b
  • x=a and y=b
  • x=b and y=a
  • x=ba and y=ab
The sum of the numerator and the denominator of a fraction is equal to 7. Four times the numerator is 8 less than 5 times the denominator. Find the fraction.
  • 16
  • 34
  • 47
  • 711
Solve the following pair of equations:
xayb=0, ax+by=a2+b2
  • x=ba and y=b
  • x=0 and y=ba
  • x=ba and y=ba
  • x=a and y=b
Rohit says to Ajay "Give me a hundred, I shall then become twice as rich as you." Ajay replies "If you give me ten, I shall be six times as rich as you." How much does each have originally?
  • Rohit has Rs. 20  and Ajay has Rs. 90
  • Rohit has Rs. 50 and Ajay has Rs. 200
  • Rohit has Rs. 40 and Ajay has Rs. 170
  • Rohit has Rs. 56  and Ajay has Rs. 190
The sum of two-digit numbers and the number obtained by reversing the order of the digit is 121. Find the number, if the digits differ by 3.
  • 47 or 74
  • 36 or 63
  • 67 or 76
  • 94 or 49
A's age is twice as B's age. 4 years ago, A was three times as old as B. Find their present ages.
  • 30 years and 15 years
  • 20 years and 10 years
  • 10 years and 5 years
  • 16 years and 8 years
Divide 32 into two parts such that if the larger is divided by the smaller, the quotient is 2 and the remainder is 5.
  • 13 and 5
  • 23 and 9
  • 17 and 39
  • 28 and 45
A and B each have a certain number of mangoes. A says to B, "if you give 30 of your mangoes, I will have twice as many as left  with you". B replies, "if you give meI will have thrice as many as left with you." How many mangoes does each have ?
  • A has 34 Mangoes and B has 62 Mangoes
  • A has 14 Mangoes and B has 35 Mangoes
  • A has 70 Mangoes and B has 148 Mangoes
  • A has 96 Mangoes and B has 182 Mangoes
Divide 184 into two parts such that one- third of one part may exceed one-seventh of the other part by 4.
  • 61.6 and 120.4
  • 62.6 and 120.4
  • 63.6 and 120.4
  • 64.6 and 120.4
Graphically, the pair of equations 6x3y+10=0,2xy+9=0 represents two lines which are
  • Intersecting at exactly one point
  • Intersecting at exactly two points
  • Coincident
  • Parallel
Two articles A and B are sold for Rs. 1,167 making 5% profit on A and 7% profit on B. If the two articles are sold for Rs. 1,165, a profit of 7% is made on A and a profit of 5% is made on B. Find the cost price of each article.
  • A= Rs. 200  and B= Rs. 300
  • A= Rs. 600 and B= Rs.700
  • A= Rs.100  and B= Rs.200
  • A= Rs. 500 and B= Rs. 600
The class XI students of a school wanted to give a farewell party to the out going students of class XII. They decided to purchase two kinds of sweets, one costing Rs. 250 per kg and the other costing Rs. 350 per kg. They estimated that 40 kg of sweets were needed. if the total budget for the sweets was Rs. 11,800; find how much sweets of each kind were bought ?
  • 20 kg and 18 kg
  • 22 kg and 18 kg
  • 28 kg and 18 kg
  • 26 kg and 18 kg
The difference between two whole numbers is 26 and one number is three times the other. Find the numbers.
  • 45 and 15
  • 48 and 12
  • 60 and 20
  • 39 and 13
1250 persons went to see a circus-show. Each adult paid Rs. 75 and each child paid Rs. 25 for the admission ticket. Find the number of adults and number of children, if the total collection from them amounts to Rs. 61,250.
  • Adults =600  and children =650
  • Adults =300  and children =450
  • Adults =800  and children =700 
  • Adults =640  and children =800
The pair of linear equations 13x+ky=k,39x+6y=k+4 has infinitely many solutions if
  • k=1
  • k=2
  • k=4
  • k=6
The pair of equations 3x+4y=k,9x+12y=6 has infinitely many solutions if
  • k=2
  • k=6
  • k6
  • k=3
The pair of linear equations 2x+5y=k,kx+15y=18 has infinitely many solutions if
  • k=3
  • k=6
  • k=9
  • k=18
The pair of linear equations 3x+7y=k,12x+2ky=4k+1 do not have any solution if
  • k=7
  • k=14
  • k=21
  • k=28
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Practice Class 10 Maths Quiz Questions and Answers