CHAPTER-3 PAIR OF LINEAR EQUATIONS IN TWO VARIABLES (SET-3)

Questions in this test

1. Half the perimeter of the garden, whose length is 4 cm more than its width is 36 cm, find the dimensions of the garden?
2. The larger angle of two supplementary angles exceeds the smaller by 18 degrees. Find them.
3. A takes 3 hours more than B to walk a distance of 30 km. But, if A doubles his pace $(speed)$ he is ahead of 3 by $1\frac{1}{2}$ hours find the speeds of A and B.
4. While covering a distance of 30 km, Ajeet takes 2 hours more than Amit, if Ajeet doubles his speed he would take 1 hour less than Amit. find the speeds of walking. Ajeet’s speed and Amit’s speed.
5. A father is 3 times as old as his son, after 12 years, his age will be twice as that of his son then, find the parent ages of the father and son.
6. Distance = ________
7. 4 tables and 3 chairs together, Cost Rs 2,250 and 3 tables and 4 Chairs cost Rs. 1950. find the cost of 2 chairs and 1 table.
8. 5 books and 7 pens together cost Rs. 79 whereas 7 books and 5 pens cost Rs. 77. find the total cost of 1 book and 2 pens.
9. Find the values of K for system of equations has no solutions $kx-5y = 2,$ $6x+2y=7$
10. Determine the value of k for linear equation have no solutions $(3x+1)x+3y-2=0 ,$ $(k^2+1)x+(k-2)y-5=0$