IBPS RRB PO Prelims 12 sep 2020 Questions and Answers Detailed Explanation

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Directions:

In the following question two equations are given in variables X and Y. You have to solve these equations and determine the relation between X and Y.

[IBPS RRB (PO) Prelims 2020]

The following question based on IBPS RRB PO topic of previous year question answers

Questions : I. x2 – 11x + 30 = 0 and II. y2 + 12y + 36 = 0

(a) y > x

(b) y < x

(c) y ≥ x

(d) y ≤ x

e) x = y or no relation can be established

The correct answers to the above question in:

Answer: (b)

x2 – 11x + 30 = 0

x2 – 5x – 6x + 30 = 0

x(x – 5) – 6(x – 5) = 0

(x – 5)(x – 6) = 0

x = 6, 5

y2 + 12y + 36 = 0

y2 + 6y + 6y + 36 = 0

y(y + 6) + 6(y + 6) = 0

(y + 6)(y + 6) = 0

y = -6, -6

So, x > y.

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Read more ibps rrb po prelims 12 sep 2020 Based Previous Year Questions and Answers

Question : 1

I. x2 + 9x + 20 = 0 and II. 8y2 – 15y + 7 = 0

a) y > x

b) y < x

c) y ≥ x

d) y ≤ x

e) x = y or no relation can be established

Answer: (a)

x2 + 9x + 20 = 0

x2 + 4x + 5x + 20 = 0

x(x + 4) + 5(x + 4) = 0

(x + 5)(x + 4) = 0

x = – 4 , –5

8y2 – 15y + 7 = 0

8y2 – 8y – 7y + 7 = 0

8y(y – 1) – 7(y – 1) = 0

(8y – 7)(y – 1) = 0

y = $7/8$ , 1

So, y > x

Question : 2

I. x2 + 13x + 40 = 0 and II. y2 + 7y + 10 = 0

a) y > x

b) y < x

c) y ≥ x

d) y ≤ x

e) x = y or no relation can be established

Answer: (c)

x2 + 13x + 40 = 0

x2 + 8x + 5x + 40 = 0

x(x + 8) + 5 (x + 8) = 0

(x + 5) (x + 8) = 0

X = –5, – 8

y2 + 7y + 10 = 0

y2 + 2y + 5y + 10 = 0

y (y+2) + 3 (y + 2) = 0

y = – 2, – 5

so, y ≥ x

Question : 3

I. x2 – 20x + 91 = 0 and II. Y2 + 16y + 63 = 0

a) y > x

b) y < x

c) y ≥ x

d) y ≤ x

e) x = y or no relation can be established

Answer: (b)

x2 – 20 + 91 = 0

x2 – 13x – 7x + 91 = 0

x (x –13) – 7 ( x –13) = 0

(x –7) (x –13) = 0

X = 13, 7

Question : 4

I. x2 – x – 12 = 0 and II. y2 + 5y + 6 =0

a) y > x

b) y < x

c) y ≥ x

d) y ≤ x

e) x = y or no relation can be established

Answer: (e)

x2 – 4x + 3x – 12 = 0

x (x –4) + 3(x –4) = 0

(x +3) (x –4) = 0

X = – 3, 4

y2 + 5y + 6 = 0

y2 + 2y + 3y + 6 = 0

y (y + 2) + 3 (y + 2) = 0

(y+2)(y+3) = 0

y = – 2, – 3

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IBPS RRB PO Prelims 12 sep 2020

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