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CBSE Questions for Class 10 Maths Pair Of Linear Equations In Two Variables Quiz 15 - MCQExams.com

Two lines x+2y+7=0 and 2x+ky+18=0 do not intersect each other. Find the value of k.
  • 3
  • 2
  • 1
  • 4
For what value of k the system of equation kx+2y=5 and 3x+y=1 has no solution?
  • k=3
  • k=6
  • k6
  • k=4
If 8x9y=20 and 7x10y=9, then what is 2xy equal to?
  • 10
  • 11
  • 12
  • 13
Sahil has Rs.12 less than three times what Sohan has. If both have a total of Rs.88, how many rupees each must have got?
  • Sohan Rs.25 , Sahil-Rs.63
  • Sohan Rs.25 , Sahil-Rs.33
  • Sohan Rs.55 , Sahil-Rs.63
  • Sohan Rs.25 , Sahil-Rs.55
Solve the following puzzles using the equations: 
The present age of Beena is 2 years more than Reeta.The present age of Teena is 3 years more than Beena.If the sum of the ages of Reeta , Beena , and Teena is 79 years, find the present age of all the three of them.
  • Reeta 24 years , Beena 26 years , Teena 29 years.
  • Reeta 24 years , Beena 21 years , Teena 29 years.
  • Reeta 24 years , Beena 29 years , Teena 29 years.
  • Reeta 24 years , Beena 26 years , Teena 30 years.
Solve the following puzzles using the equations: 
In a village , the number of women is 89 more than the number of men.The number of children is 400 more than the number of men.If the total population of the village isFind the number of men , women and children. 
  • Men-1500 , Women 1589 , Children 1900.
  • Men-1500 , Women 1600 , Children 1900.
  • Men-1500 , Women 1589 , Children 1200.
  • Men-1400 , Women 1589 , Children 1900.
Solve for x and y in the following question:
2x+2y+12xy+59=0, 9x+2y+62xy+4=0
  • x=1,y=2
  • x=2,y=1
  • x=2,y=12
  • x=12,y=2
When a bucket is half full, the weight of the bucket and the water is 10 kg. When the bucket is two-thirds full, the total weight is 11 kg. What is the total weight, in kg, when the bucket is completely full?
  • 12 kg
  • 1212 kg
  • 1223 kg
  • 13 kg
Let f(x) be a quadratic polynomial with f(2)=10 and f(2)=2. Then the coefficient of x in f(x) is ?
  • 1
  • 2
  • 3
  • 4
Choose the correct answer from the alternatives given.
If x+y82=x+2y143=3x+y1211 then find the values of x and y, respectively. 
  • 2,6
  • 4,8
  • 3,5
  • 4,5
Solve the following equations:
x2+y5=5.

2x+5y=56.
  • x=6;y=10
  • x=5;y=6
  • x=4;y=15
  • x=3;y=9
The sum of a two digit number and the number obtained by reversing the order of its digits is 121, and the two digits differ by 3. Find the number.
  • 47 
  • 74
  •  44
  •  34
ax+2y=5
3x6y=20
In the system of equations above, a is a constant. if the system has one solution, which of the following CANNOT be the value of a?
  • 1
  • 4
  • 1
  • 3
Ravish tells his daughter Aarushi, "Seven years ago, I was seven times as old as you were then. Also, three years from now, I shall be three times as old as you will be. If present ages of Aarushi and Ravish are x and years respectively, represent this situation algebraically and find their present ages.
  • x=12,y=49
  • x=12,y=42
  • x=10,y=49
  • x=10,y=42
22x+y+15xy=5
55x+y+45xy=14
  • x=8, y=3
  • x=3, y=8
  • x=8, y=3
  • x=8, y=3
Find the solution of pair of equations x10+y51=0 and x8+y6=15. Hence, find λ, if y=λx+5.
  • 16517
  • 12
  • 361696
  • 34017
Solve by using substitution method. 3x+4y=10 & 2x2y=2
  • x=2,y=1
  • x=1,y=2
  • x=1,y=0
  • x=2,y=3
Solve the following pair of equations graphically; 2x3y=1, & 4x3y+1=0
  • x=1  y=1
  • x=1  y=1
  • x=1  y=1
  • x=1  y=1
Solve each pair of equation by using the substitution method.
x+6y=6
3x8y=5
  • x=3 and y=2
  • x=30 and y=2
  • x=3 and y=2
  • None of these
Solve each pair of equation by using the substitution method.
0.2x+0.3y=1.3
0.4x+0.5y=2.3
  • x=3 and y=2
  • x=2 and y=2
  • x=3 and y=2
  • None of these
Solve each pair of equation by using the substitution method.
2x+3y=9
3x+4y=5
  • x=21 and y=7
  • x=1 and y=17
  • x=21 and y=17
  • None of these
Classes A and B have 35 students each. If seven girls shift from class A to class B, then the number of girls in the classes would interchange. If four girls shift from class B to class A, then the number of girls in class A would be twice the original number of girls in class B. What is the number of boys in Class A and in Class B?
  • 18 and 11
  • 24 and 19
  • 18 and 27
  • 17 and 24
A number is 25 times another number. If their sum is 70, Find the numbers.
  • 70 and 50
  • 20 and 30
  • 40 and 50
  • 20 and 50
Sum of two numbers is 407. The sum and difference of their LCM and HCF are 925 and 851 respectively. The difference of two numbers is
  • 518
  • 185
  • 158
  • 175
The liquids X and Y are mixed in the ratio of 3:2 and the mixture is sold at Rs11 per liter at a profit of 10%. If the liquid X costs Rs2 more per liter than Y, the cost of X per liter is (in Rs.):
  • 9.50
  • 10.80
  • 11.75
  • 11
Solve the following pair of linear equations in two variables (by graph) :
2x+3y=5, x+6y=25
  • (1,2)
  • (1,3)
  • (1,6)
  • None of these
At a zoo, there were parrots and rabbits in the same enclouser. Sravanthi counted 30 heads and 100 legs altogether. how many animals of each type were in the enclouser
  • 9 parrots 21 rabbits
  • 10 parrots and 20 rabbits
  • 20 parrots and 19 rabbits
  • 11 rabbits and 19 parrots
IF x2y=1, y=12, then find the value of x 
  • 2
  • 1
  • 0
  • 2
ax+by=c and mx+ny=d where anbm then these simultaneous equation have -
  • Only one common solution
  • No solution
  • Infinite number of solution
  • Only two solutions.
The system of linear equations 5x+my=10 and 4x+ny=8 have infinitely many solutions, where m and n are positive integers. Then the minimum possible value of (m+n) is equal to
  • 9
  • 5
  • 6
  • 10
0:0:2


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