Directions (Q. 1–5): In each of these questions, two equations numbered I and II with variables x and y are given. You have to solve both the equations to find the value of x and y. Give answer
(a) if x > y
(b) if x >= y
(c) if x <y
(d) if x <= y
(e) if x = y or relationship between x and y cannot be determined.
Q1.
I. 5x2 – 8x + 3 = 0
II. 3y2 + 5y – 2 = 0
Q2.
I. x8 – (3 * 8)17/2/√x = 0
II. 11/√y + 18/√y = √y
Q3.
I. √169 x2– 2197 = 0
II. √ (484) y + 132 = 0
Q4.
I. (625)(1/4) x + √ (1225) = 155
II. 225y2 + 18 = 279
Q5.
I. x2 – 7x + 12 = 0
II. y2 – 9y + 20 = 0
Directions(6-10): What value should come in the place of question mark (?) in the following number series?
Q6. 139, 175, 126, 190, 109, ?
(a) 219
(b) 209
(c) 201
(d) 212
(e) 203
Q7. 448, 225, 76, ?, 5
(a) 45
(b) 15
(c) 18
(d) 20
(e) 55
Q8. 342, ?, 396, 450, 522, 612
(a) 360
(b) 370
(c) 348
(d) 380
(e) 350
Q9. 219, 220, 247, 372, ?, 1444
(a) 615
(b) 715
(c) 815
(d) 425
(e) 625
Q10. 41, 85, 175, 357, 723, ?
(a) 1475
(b) 1437
(c) 1427
(d) 1587
(e) 1457
Answers:
Q1.
I. 5x2 – 8x + 3 = 0
II. 3y2 + 5y – 2 = 0
S1. Ans (a)
I. 5x2 – 5x – 3x + 3 = 0
5x(x – 1) –3 (x – 1) = 0
x = 1, 3/5
II. 3y2 + 6y – y – 2 = 0
3y (y + 2) –1 (y + 2) = 0
(y + 2) (3y – 1) = 0
y = –2, 1/3
x > y
Q2.
I. x8 – (3 * 8)17/2/√x = 0
II. 11/√y + 18/√y = √y
S2. Ans (c)
I. x17/2 = (24)17/2
x = 24
II. y = 29
y > x
Q3.
I. √169 x2– 2197 = 0
II. √ (484) y + 132 = 0
S3. Ans (a)
I. 13x = 2197
x = 169
II. 22y = – 132
y = – 6
x > y
Q4.
I. (625)(1/4) x + √ (1225) = 155
II. 225y2 + 18 = 279
S4. Ans (a)
I. √ (25)x +35 = 155
x = 120/5 = 24
II. 15y = 261
y = 17.4
x > y
Q5.
I. x2 – 7x + 12 = 0
II. y2 – 9y + 20 = 0
S5. Ans (d)
I. x2 – 4x – 3x + 12 = 0
(x – 4) (x – 3) = 0
x = 4, 3
II. y2 – 5y – 4y + 20 = 0
(y – 5) (y – 4) = 0
y = 5, 4
y >=x
Directions(6-10): What value should come in the place of question mark (?) in the following number series?
Q6. 139, 175, 126, 190, 109, ?
(a) 219
(b) 209
(c) 201
(d) 212
(e) 203
S6. Ans (b)
The series is:
Q7. 448, 225, 76, ?, 5
(a) 45
(b) 15
(c) 18
(d) 20
(e) 55
S7. Ans (d)
The series is:
Q8. 342, ?, 396, 450, 522, 612
(a) 360
(b) 370
(c) 348
(d) 380
(e) 350
S8. Ans (a)
The series is:
Q9. 219, 220, 247, 372, ?, 1444
(a) 615
(b) 715
(c) 815
(d) 425
(e) 625
S9. Ans (b)
The series is:
Q10. 41, 85, 175, 357, 723, ?
(a) 1475
(b) 1437
(c) 1427
(d) 1587
(e) 1457
S10. Ans (e)
The series is:
