# Quant Test for IBPS PO 2018 Prelim Exam Set – 30

Directions(1-5): Find the relation between I and II and choose a correct option.

1. I. 4x^2 – 25x + 36 = 0
II.2x^2 – 19x + 44 = 0

I=II or relation cannot be established.
II>I
I>II
II>=I
I>=II
Option D
I. 4x^2 – 25x + 36 = 0
=>4x^2 – 16x – 9x + 36 = 0
=> x = 9/4, 4
II.2x^2 – 19x + 44 = 0
=>2x^2 – 8x – 11x + 44 = 0
=> x = 11/2, 4
II>=I

2. I. x^2 – 30x + 224 = 0
II.x^2 – 32x + 255 = 0

II>I
II>=I
I>=II
I>II
I=II or relation cannot be established.
Option E
I. x^2 – 30x + 224 = 0
=>X^2 – 14x – 16x + 224 = 0
=>x = 14,16
II.x^2 – 32x + 255 = 0
=> x^2 – 17x – 15x + 255 = 0
=> x = 17, 15
No relation.

3. I.x^2 – 20x + 99 = 0
II.x^2 + 13x + 42 = 0

I>II
I=II or relation cannot be established.
II>=I
II>I
I>=II
Option A
I.x^2 – 20x + 99 = 0
=>X^2 – 11x – 9x + 99 = 0
=> x = 11, 9
II.x^2 + 13x + 42 = 0
=>x^2 +6x + 7x + 42 = 0
=> x = 7,6
I>II

4. I. (x-6)^2 –x = 0
II.(x-20)^2 = 10x

II>I
I>=II
I=II or relation cannot be established.
II>=I
I>II
Option A
I. (x-6)^2 –x = 0
=>x^2 – 13x + 36 = 0
=> x^2 – 9x – 4x + 36 = 0
=> x = 4,9
II.(x-20)^2 = 10x
=>x^2 – 50x + 400 = 0
=>x^2 – 10x – 40x + 400 = 0
=> x = 10,40
II>I

5. I.x^2 – 21x + 110 = 0
II.x^2 – 26x + 168 = 0

I>=II
I>II
II>=I
I=II or relation cannot be established.
II>I
Option E
I.x^2 – 21x + 110 = 0
=>x^2 – 10x – 11x +110 = 0
=> x = 10, 11
II.x^2 – 26x + 168 = 0
=>x^2 – 12x – 14x + 168 = 0
=> x = 12,14
II>I

6. Directions(6-10): Study the following graph carefully and answer the questions that follow :
Production of A.C and T.V (In thousand) :

Percentage of exported AC’s and T.V :

7. T.V used for Domestic purpose of Sony and Samsung is approximately what percent of the TV used for domestic purpose of Onida and Philips ?
77%
62%
70%
66%
75%
Option E
Required% = [60* 62% +40 *78%]/[ 63* 75% +60.4* 73%]*100 = 75%

8. Total T.V produced by Sony, Samsung and Onida is how much more than T.V produced by Taxla and Philips ?
40000
80000
70000
60000
50000
Option D
Required answer = (60 + 40 + 63) – (42.6 + 60.4)
= 163 – 103 = 60000

9. What is average number of AC’s produced by Samsung, Onida, Taxla and Philips together ?
55500
63100
44500
63200
50500
Option E
Average number of AC’s
= [36.2+58.8+52.6+54.4]/4 = 50500

10. AC’s exported by Taxla and Philips is what per cent more/less than the AC’s exported by Sony and Samsung ?
130%
126%
115%
106%
120%
Option B
Required% = [52.6*40% +54.4*22%]/[50*25% + 36.2*38%]*100 = 126%

11. What is the respective ratio between T.V exported by Samsung, Onida and AC’s exported by same companies ?
12275 : 13346
12335 : 13056
12355 : 13241
12130 : 13250
11175 : 13044
Option A
Required ratio
=(40 × 22% + 63 × 25 %) : (36.2 × 38% + 58.8 × 22%)
= 24550 : 26692 = 12275 : 13346