Pair of Linear Equations in Two Variables (IMO- Mathematics Olympiad Class 10): Questions 17 - 21 of 82

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 889 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 400.00 or

Question number: 17

» Pair of Linear Equations in Two Variables

MCQ▾

Question

The value of k, for which the system of equations x+ky+30=0,5x+30y150=0 represent parallel lines is ________

Choices

Choice (4) Response
a.

13

b.

9

c.

16

d.

6

Question number: 18

» Pair of Linear Equations in Two Variables

MCQ▾

Question

The denominators of a rational number is greater than its numerator by 5. If 5 is subtracted from the numerator and 10 is added to the denominator, the new number becomes 111 . Then the original number was ________

Choices

Choice (4) Response
a.

712

b.

1412

c.

1318

d.

135

Question number: 19

» Pair of Linear Equations in Two Variables

MCQ▾

Question

Bhavesh and Mihir have some books with them. Once Mihir said to Bhavesh that if Bhavesh gives 5 books to Mihir then Bhavesh will have only 14 of the books that Mihir will have with him. Then Bhavesh asked frankly that if Mihir gives him only five books (to Bhavesh), then Mihir will have as many books as Bhavesh will have. The total number of books that Bhavesh and Mihir have with them is ________

Choices

Choice (4) Response
a.

23

b.

8

c.

34

d.

10

Question number: 20

» Pair of Linear Equations in Two Variables

MCQ▾

Question

If ambl , then the system of equations ax+by=c,lx+my=n ________

Choices

Choice (4) Response
a.

May or may not have a solution

b.

Has a unique solution

c.

Has infinitely many solutions

d.

Has no solution

Question number: 21

» Pair of Linear Equations in Two Variables

MCQ▾

Question

Solve for x and y in the following question:

50axy+66x+y=30,60xy+77x+y=33

Choices

Choice (4) Response
a.

x=5,y=2

b.

x=45,y=2

c.

x=5,y=6

d.

x=2,y=45

Sign In