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

    

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 :


6. 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%

    

7. 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

    

8. 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

    

9. 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%

    

10. 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