# 2 Linear Equations Solution MCQ Questions & Answers

2 Linear Equations Solution MCQs : This section focuses on the "2 Linear Equations Solution". These Multiple Choice Questions (MCQs) should be practiced to improve the 2 Linear Equations Solution skills required for various interviews (campus interview, walk-in interview, company interview), placement, entrance exam and other competitive examinations.

Question 1

10 years ago, a woman was thrice the age of her daughter. Two years later her daughter’s age will be 30 more than the age of the mother. What are the present ages of the woman and the daughter?

A. 70 years, 40 years
B. 60 years, 40 years
C. 55 years, 25 years
D. 45 years, 20 years

Question 2

A father gives Rs. 500 to his children every month. If the boy gets Rs. 100 then, the girl gets Rs. 200 and if the boy gets Rs. 100 the girl gets Rs. 150. How many children does he have?

A. 0
B. 3
C. 2
D. 1

Question 3

In a piggy bank the total number of coins of Rs. 5 and Rs. 1 is 100. If the total coins amount is 300, then what is the number of coins of each denomination?

A. 30, 70
B. 50, 50
C. 45, 55
D. 60, 40

Question 4

It takes 10 men and 6 women to finish a piece of work in 4 days, while it takes 5 men and 7 women to finish the same job in 6 days. What will be the time taken by 1 man and 1 woman to finish the job?

A. Man = 34 days, Woman = 45 days
B. Man = 45 days, Woman = 34 days
C. Man = 53 days, Woman = 96 days
D. Man = 54 days, Woman = 96 days

Question 5

The lines 2x+5y=17 and 5x+3y=14 are consistent.

A. FALSE
B. TRUE

Question 6

The lines 5x-7y=13 and 10x-14y=15 are inconsistent.

A. TRUE
B. FALSE

Question 7

The sum of a two digit number and the number obtained by reversing the order of the digits is 187. If the digits differ by 1, then what will be the number?

A. 67
B. 54
C. 89
D. 67

Question 8

What will be the nature of the graph lines of the equations 2x+5y+15 and 6x+15y+45?

A. Parallel
B. Coincident
C. Intersecting
D. Perpendicular to each other

Question 9

What will be the nature of the graph lines of the equations 5x-2y+9 and 15x-6y+1?

A. Parallel
B. Coincident
C. Intersecting
D. Perpendicular to each other

Question 10

What will be the nature of the graph lines of the equations x+3y-2 and 2x-y+5?

A. Parallel
B. Coincident
C. Intersecting
D. Perpendicular to each other

Question 11

What will be the value of k, if the lines given by (5+k)x-3y+15 and (k-1)x-y+19 are parallel?

A. 5
B. 4
C. 6
D. 7