Directions: In each of the following questions two equations are given. You have to solve them and give answer.
A) If x > y
B) If x < y
C) If x = y or relation cannot be established
D) If x ≥ y
E) If x ≤ y
1.
I. 8x+y=10
II. 4x+2y=13
Explanation
B from both equation
x=7/12, y=16/3
y>x
2.
I. 9x – 15.45 = 54.55 + 4x
II. √(y+155) – 6 = 7.
Explanation
C. X = Y or relation cannot be established
Explanation:
9x – 15.45 = 54.55 + 4x
9x – 4x = 54.55 + 15.45
5x = 70 => x= 14
√(y+155) – 6 = 7
√(y+155) = 13
Squaring on both sides
y + 155 = 169
y = 14
Question3
X: Number of children in the row facing North
Vishakha who is fifth from the left end is eighth to the left of Ashish who is twelfth from the right end.
Y: Number of children in the row facing North
Rohit is fifth to the left of Nisha who is seventh from the right end and eighteenth from the left end.
Explanation
C
X: Since 8th to the left of 12th from the right is 20th from the right, so from I, we know that Vishakha is 5th from left and 20th from right i.e. there are 4 children to the left and 19 to the right of Vishakha. So, there are (4 + 1 + 19) i.e. 24 children in the row.
Y: Nisha is 7th from right and 18th from left end of the row. So, there are (6 + 1 + 17) = 24 children in the row.
4.
X: Roots of x: x2 + 13x = – 42
Y: Roots of y: y2 + 16y + 63 = 0
Explanation
D
