CBSE Questions for Class 12 Commerce Applied Mathematics Linear Equations Quiz 10 - MCQExams.com

The expression $$ax + b$$ is equal to $$13$$ when $$x$$ is $$5$$ and $$ax + b$$ is equal to $$29$$ when $$x$$ is $$13$$. The value of expression when $$x$$ is $$0.5$$
  • $$2.9$$
  • $$\dfrac {29}{5}\times 13$$
  • $$4$$
  • $$\dfrac {29\times 5}{13}$$
When one is added to each of two given numbers, their ratio becomes $$3 : 4$$ and when $$5$$ is subtracted from each, the ratio becomes $$7:10$$. The numbers are
  • $$8, 11$$
  • $$11, 15$$
  • $$26, 35$$
  • $$27, 36$$
The ratio of the ages of A and B ten years before was $$3 : 5$$. The ratio of their present ages is $$2 : 3$$ . Their ages are respectively
  • $$30,50$$
  • $$20,30$$
  • $$40,60$$
  • $$16,24$$
Solve equations using substitution method: $$x-y = 3$$ and $$x + y = 0$$
  • $$\dfrac{3}{2}$$ and $$1$$
  • $$\dfrac{-3}{2}$$ and $$-1$$
  • $$\dfrac{3}{2}$$ and $$-\dfrac{3}{2}$$
  • $$0$$ and $$\dfrac{3}{2}$$
In a zoo there are some pigeons and some rabbits. If the total number of heads is $$300$$ and the total number of legs is $$750$$, then how many pigeons are there?
  • $$150$$
  • $$175$$
  • $$200$$
  • $$225$$
The total salary of $$15$$ men and $$8$$ women is $$Rs.\ 3050$$. The difference of salaries of $$5$$ women and $$3$$ men is $$Rs.\ 50$$. Find the sum of the salaries of $$3$$ men and $$3$$ women
  • $$Rs.\ 900$$
  • $$Rs.\ 850$$
  • $$Rs.\ 750$$
  • $$Rs.\ 1000$$
Solve for $$x$$ and $$y$$, if $$2x+ 3y= 8$$ and $$x+2y=5$$.
  • $$x=1, y=2$$
  • $$x=-1, y=-2$$
  • $$x=-2, y=2$$
  • $$x=-1, y=2$$
Solve equations using substitution method:
$$2x + y = 5$$ and $$2x-  3y = 3$$
  • $$\frac{1}{4}$$ and $$\frac{-1}{2}$$
  • $$\frac{1}{4}$$ and $$\frac{1}{2}$$
  • $$\frac{-9}{4}$$ and $$\frac{-1}{2}$$
  • $$\frac{9}{4}$$ and $$\frac{1}{2}$$
Solve equations using substitution method:
$$2x -y = 3$$ and $$4x + y = 3$$
  • $$-1$$ and $$1$$
  • $$-2$$ and $$1$$
  • $$1$$ and $$-1$$
  • $$-1$$ and $$-1$$
If $$2$$ tables and $$3$$ chairs cost $$Rs. 4500$$ and $$3$$ tables and $$2$$ chairs cost $$Rs. 5000$$, then how much does a table cost?
  • Rs. $$1100$$
  • Rs. $$1200$$
  • Rs. $$1150$$
  • Rs. $$1300$$
Father says to son "I am $$5$$ times as old as you were when i was as old as you are". If sum of their ages is $$48$$, what is the age of the father?
  • $$20$$
  • $$9$$
  • $$45$$
  • $$40$$
Find the value of x and y using substitution method:
$$5x - 6y = 2$$ and $$6x - 5y = 9$$
  • $$4$$ and $$-3$$
  • $$-3$$ and $$-4$$
  • $$-4$$ and $$-3$$
  • $$4$$ and $$3$$
Using substitution method find the value of x and y:
$$2x - 3y = 2$$ and $$5x - 6y = 2$$
  • -4 and -1
  • -2 and 10
  • -2 and -11
  • -2 and -2
Using substitution method find the value of $$x$$ and $$y:$$
$$x + 4y = -4$$ and $$2x-  3y = 2$$
  • $$\dfrac{-4}{11}$$ and $$\dfrac{-10}{11}$$
  • $$\dfrac{-2}{11}$$ and $$\dfrac{10}{11}$$
  • $$\dfrac{-2}{11}$$ and $$\dfrac{-10}{11}$$
  • $$\dfrac{2}{11}$$ and $$\dfrac{-2}{11}$$
Using substitution method find the value of x and y:
$$3x+5y$$  $$= 1$$ and $$4x + 5y $$$$= 2$$
  • $$-1$$ and $$\dfrac{-2}{5}$$
  • $$-1$$ and $$\dfrac{2}{5}$$
  • $$1$$ and $$\dfrac{-2}{5}$$
  • $$1$$ and $$\dfrac{2}{5}$$
Using substitution method find the value of x and y:
$$4x + 9y = 5$$ and $$-5x + 3y = 8$$
  • $$-1$$ and $$\dfrac{-2}{5}$$
  • $$-1$$ and $$\dfrac{2}{5}$$
  • $$-1$$ and $$1$$
  • $$1$$ and$$\dfrac{2}{5}$$
Using substitution method find the value of x and y:
$$x - 9y = 18$$ and $$-x + 3y = -15$$
  • $$-13.5 $$ and $$-3.5$$
  • $$-13.5$$ and $$2.5$$
  • $$13.5$$ and $$-2.5$$
  • $$13.5$$ and $$-0.5$$
Solve the equations using the method of substitution method :
$$3x+4y=-43$$ and $$-2x+3y=11$$
  • 7 and 5
  • 5 and -7
  • -5 and 7
  • 5 and 7
Find the value of a and b using substitution method:
$$a + b = 3$$ and $$-3a + 2b = 1$$
  • 1 and 2
  • 2 and 1
  • -2 and -1
  • 2 and -1
Solve the equation using substitution method:
$$3x-5y =11$$ and $$+10y+6x=7$$ 
  • $$\left(\frac{29}{12}, \frac{3}{4}\right)$$
  • $$\left(\frac{3}{4}, \frac{29}{12}\right)$$
  • $$\left(\frac{-29}{12}, \frac{3}{4}\right)$$
  • $$\left(\frac{29}{12}, \frac{-3}{4}\right)$$
Solve the following equations using substitution method:
$$2x+3y=13$$  and $$4x+5y=23$$
  • (-2, 3)
  • (2, 3)
  • (2, -3)
  • (-2, -3)
Solve the equation using substitution method:
$$4x-6y=-4$$  and  $$8x-2y=48$$
  • 5.6 and 7.4
  • -7.4 and 5.6
  • 7.4 and 5.6
  • 8.6 and 5.6
Solve the equation using substitution method:
$$3x+y+1=0$$  and  $$3x-4y=10$$ 
  • (0.4, 2.2)
  • (0.4, -2.2)
  • (0.4, 1.2)
  • (-0.4, 2.2)
The sum of unit place and tens place digits of a two digit number is $$12$$. If the new number formed by reversing those digits is less than the original number by $$18$$. Find the original number.
  • $$70$$
  • $$75$$
  • $$80$$
  • $$85$$
Two lines are represented by the equations $$2x-y=1$$ and $$x+2y=2$$. Represent this situation graphically and check if the system has....
  • No solution
  • Unique Solution
  • Infinite Solutions
  • None of the these
Solve the equation using substitution method:
$$x+y=-3$$ and $$x+2y=4$$
  • -10 and 7
  • 10 and 7
  • 10 and -7
  • -10 and -7
Find the value x and y using substitution method:
$$2x-5y=9$$   and  $$5x+6y=8$$
  • $$94$$ and $$199$$
  • $$\cfrac{94}{43}$$ and $$\cfrac{199}{215}$$
  • $$\cfrac{-94}{43}$$ and $$\cfrac{199}{215}$$
  • $$\cfrac{-94}{43}$$ and $$\cfrac{-199}{215}$$
If the sum of $$2$$ real numbers is $$20$$ and their difference is $$6$$, find the value of their product.
  • $$51$$
  • $$64$$
  • $$75$$
  • $$84$$
  • $$91$$
Two bus tickets from city A to B and three tickets from city A to C cost Rs. 77 but three tickets from city A to B and two tickets from city A to C cost Rs.What are the fares for cities B and C from A ?
  • Rs. $$4$$, Rs. $$23$$
  • Rs. $$13$$, Rs. $$17$$
  • Rs. $$15$$, Rs. $$14$$
  • Rs. $$17$$, Rs. $$13$$
$$3x+y=19$$, and $$x+3y=1$$. Find the value of $$2x+2y$$.
  • $$20$$
  • $$18$$
  • $$11$$
  • $$10$$
  • None of the above
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