30
Minutes
50
Questions
1 / -0
Marking
Q1. A train overtakes two persons who are walking at the rate of 8 kmph and 12 kmph in the same direction in which the train is going, and passes them completely in 9 and 10 seconds respectively. What is the length of the train?
200 m
500 m
100 m
300 m
Q2. If a pair of linear equations is consistent, then the lines will be
always coincident
parallel
always intersecting
intersecting or coincident
Q3. Two equations in two variables taken together are called
linear equations
quadratic equations
simultaneous equations
none of these
Q4. The pairs of equations x+2y-5 = 0 and -4x-8y+20=0 have:
Unique solution
Exactly two solutions
Infinitely many solutions
No solution
Q5. Aruna has only Rs 1 and Rs 2 coins with her. If the total number of coins that she has is 50 and the amount of money with her is Rs 75, then the number of Rs 1 and Rs 2 coins are respectively
35 and 15
35 and 20
15 and 35
25 and 25
Q6. Which of following is not a solution of 3a + b = 12?
(3, 3)
(5, -3)
(4, 0)
(2, 4)
Q7. The pair of linear equations 3x + 5y = 3, 6x + ky = 8 do not have any solution if –
k = 5
k = 10
k ≠ 10
k ≠ 5
Q8. The sum of ages of A and B is 49 years. A said to B, “I am twice as old as you were when I was as old as you are. Find the present age of B.
28
21
24
12
Q9. If the lines given by 3x + 2ky = 2 and 2x + 5y + 1 = 0 are parallel, then the value of k is
5/4
2/5
15/4
3/2
Q10. If the lines 3x+2ky – 2 = 0 and 2x+5y+1 = 0 are parallel, then what is the value of k?
4/15
15/4
4/5
5/4
Q11. If x = a, y = b is the solution of the equations x + y = 5 and 2x – 3y = 4, then the values of a and b are respectively
6, -1
2, 3
1, 4
19/5, 6/5
Q12. One equation of a pair of dependent linear equations is –5x + 7y – 2 = 0. The second equation can be
10x + 14y + 4 = 0
–10x – 14y + 4 = 0
–10x + 14y + 4 = 0
10x – 14y = –4
Q13. The pair of equation x = – 4 and y = – 5 graphically represents lines which are
intersecting at (- 5, – 4)
intersecting at (- 4, – 5)
intersecting at (5, 4)
intersecting at (4, 5)
Q14. If the system of equations 2x + 3y = 7 and 2ax + (a + b)y = 28 has infinitely many solutions, then
a = 2b
b = 2a
a + 2b = 0
2a + b = 0
Q15. Which of the following pair of linear equations is inconsistent?
2x + 3y = 7; 4x + 6y = 5
x – 2y = 6; 2x + 3y = 4
9x – 8y = 17; 18x -16y = 34
5x – 3y =11; 7x + 2y =13
...and 35 more challenging questions available in the interactive simulator.