Pair of Linear Equations in Two Variables (IMO- Mathematics Olympiad Class 10): Questions 11 - 16 of 82

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Question number: 11

» Pair of Linear Equations in Two Variables

MCQ▾

Question

The digit at the ten’s place of a two digit number is twice the digit at the unit’s place. If the sum of this number and the number formed by reversing the digits is 165, find the number.

Choices

Choice (4) Response
a.

63

b.

24

c.

105

d.

52

Question number: 12

» Pair of Linear Equations in Two Variables

MCQ▾

Question

The value of k for which the system of equations 3x+5y=0andkx+10y=0 has a non-zero solution, is ________

Choices

Choice (4) Response
a.

2

b.

0

c.

6

d.

8

Question number: 13

» Pair of Linear Equations in Two Variables

MCQ▾

Question

The value of k for which the system of equations 2x+3y=5 , 4x+ky=10 has infinite number of solutions, is ________

Choices

Choice (4) Response
a.

1

b.

0

c.

3

d.

6

Question number: 14

» Pair of Linear Equations in Two Variables

MCQ▾

Question

A boat goes 30 km upstream and 44 km downstream in 10 hours. In 13 hours, it can go 40 km upstream and 55 km downstream. If x represents the speed of the boat in still water in km/hr and y represent the speed of the stream in km/hr, then ________

Choices

Choice (4) Response
a.

x+y=11,xy=5

b.

x+y=10,xy=6

c.

x+y=5,xy=11

d.

x+y=6,xy=10

Question number: 15

» Pair of Linear Equations in Two Variables

MCQ▾

Question

The value of k for which the system of equations 5x+2y=0andkx+20y=0 has a non-zero solution, is ________

Choices

Choice (4) Response
a.

50

b.

60

c.

20

d.

80

Question number: 16

» Pair of Linear Equations in Two Variables

MCQ▾

Question

Value of x in pair of linear equations 170x396y=169and396x+170y=735 is ________

Choices

Choice (4) Response
a.

3.2

b.

2.5

c.

1.3

d.

2.4

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