Quant for IBPS PO/CLERK/RRB/SBI/SO-PRE/MAINS

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

SOLUTIONS

1. (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

  

2. (c)

I. x^17/2 = (24)^17/2

x = 24

II. y = 29

y > x

3. (a)

I. 13x = 2197

x = 169

II. 22y = – 132

y = – 6

x > y

4. (a)

I. √ (25)x +35 = 155

x = 120/5 = 24

II. 15y = 261

y = 17.4

x > y

5.  (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

6. (b)

The series is:

7. (d)

The series is:

 

8. (a)

The series is:

 

9. (b)

The series is:

10. (e)

The series is: