Quadratic Equations Quiz for IBPS PO / SBI PO 2017

Directions (Q. 1–4): 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.

1. 

I. x^2 + x – 20 = 0

II. y^2 + 13y + 40 = 0

1. b

I. x^2 + 5x – 4x – 20 = 0

(x – 4) (x + 5) = 0

x = 4, – 5

II. y^2 + 8y + 5y + 40 = 0

(y + 8) (y + 5) = 0

y = –8, – 5

x >= y

2. 

I. x^2 – 11x + 30 = 0

II. y^2 – 13y + 40 = 0

2. e

I. x^2 – 6x – 5x + 30 = 0

(x – 5) (x – 6) = 0

x = 5, 6

II. y^2 – 8y – 5y + 40 = 0

(y – 8) (y – 5) = 0

y = 8, 5

No relationship between ‘x’ and ‘y’ exits.

3. 

I. x^2 + 10x + 25 = 0

II. 5y^2– √60 y + 3 = 0

3. c

I. (x + 5)^2 = 0

x = –5

II. (√5y – √3)^2 = 0

y = √3/√5

y>x

4. 

I. 10x^2 – 29x – 21 = 0

II. y^2 + 13y – 68 = 0

4. e

I. 10x^2 – 35x + 6x – 21 = 0

(5x + 3) (2x – 7) = 0

x = -3/5, 7/2

II. y^2 + 17y – 4y – 68 = 0

(y – 4) (y + 17) = 0

y = 4, –17

No relationship between x and y exists.

Directions (Q. 5–7): What value should come in the place of question mark (?) in the following number series?

5. 362, 452, 550, 656, ?

a) 770 

b) 772 

c) 670 

d) 870 

e) 790

5. a

 

6. 25, 28, 26, ?, 27, 30

a) 28 

b) 32 

c) 34 

d) 29 

e) 36

6. d

7. 9, 12, 30, 99, ?

a) 406 

b) 418 

c) 408 

d) 416 

e) 424

7. c

Directions (Q. 8–10): What value should come in the place of question mark (?) in the following questions?

8. 168.781 – 112.412 – 8.409 – 1.150 = ?

a) 44.81 

b) 46.81 

c) 40.81 

d) 47.81 

e) 46.61

8. b

? = 46.81

9. 2.01*8.96 + 128.12/(2.05*1.97) = ?

a) 50 

b) 11 

c) 21 

d) 44 

e) 23

9. a

2.01*8.96 + 128.12/(2.05*1.97) = ?

Or, 2*9 + 128/(2*2) = 18 + 32 = 50 (approx.)

10. 8.5% of 160 – 0.42% of 750 = ?

a) 11.45 

b) 12.45 

c) 13.45 

d) 9.45 

e) 10.45

10. e

? = 8.5/100 * 160 - 0.42/100 * 750

= 13.6 - 3.15 = 10.45

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