The father’s age is six times his son’s age. Four years hence, the age of the father will be four times his son’s age. The present ages, in years, of the son and the father are, respectively
(A) 4 and 24 (B) 5 and 30
(C) 6 and 36 (D) 3 and 24
Aruna has only Re 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 Re 1 and Rs 2 coins are, respectively
(A) 35 and 15 (B) 35 and 20
(C) 15 and 35 (D) 25 and 25
If x = a, y = b is the solution of the equations x – y = 2 and x + y = 4, then the values of a and b are, respectively
(A) 3 and 5 (B) 5 and 3
(C) 3 and 1 (D) –1 and –3
A pair of linear equations which has a unique solution x = 2, y = –3 is
(A) x + y = –1, 2x – 3y = –5
(B) 2x + 5y = –11 , 4x + 10y = –22
(C) 2x – y = 1 , 3x + 2y = 0
(D) x – 4y –14 = 0, 5x – y – 13 = 0
One equation of a pair of dependent linear equations is –5x + 7y = 2. The second equation can be
(A) 10x + 14y + 4 = 0 (B) –10x – 14y + 4 = 0
(C) –10x + 14y + 4 = 0 (D) 10x – 14y = –4
The value of c for which the pair of equations cx – y = 2 and 6x – 2y = 3 will have infinitely many solutions is
(A) 3 (B) – 3 (C) –12 (D) no value
For what value of k, do the equations 3x – y + 8 = 0 and 6x – ky = –16 represent coincident lines?
(A) 1/2 (B) –1/2 (C) 2 (D) –2
The pair of equations x = a and y = b graphically represents lines which are
(A) parallel (B) intersecting at (b, a)
(C) coincident (D) intersecting at (a, b)
The pair of equations y = 0 and y = –7 has
(A) one solution (B) two solutions
(C) infinitely many solutions (D) no solution
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