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

     


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