Quant Test for IBPS RRB 2018 Prelim Exam Set – 9

Institute of Banking Personnel Selection (IBPS) had released the official notification for the Common Recruitment Process for RRBs (CRP RRBs VII) for the recruitment of Group “A”-Officers (Scale-I, II & III) and Group “B”-Office Assistant (Multipurpose)

Click here to know the details of the Examination

The examination will be held in two phases i.e. Preliminary Examination and Main Examination. The RRB Scale I Preliminary Exam is scheduled on 11th, 12th & 18th of August 2018. And RRB Assistant Preliminary Exam is scheduled on 19th, 25th August & 1st September 2018Details of the exam are as under:

Practice the questions so as to familiarize yourself with the pattern of questions to be asked in the exam. 


 

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

  1. I. 15x² – 34x + 15 = 0
    II. 15y² + 22y + 8 = 0

    y>x
    x>=y
    x>y
    y>=x
    x=y or relation cannot be established.
    Option C
    I. 15x²- (9+25)x + 15 =0
    15x² – 9x – 25x + 15 = 0
    3x (5x-3)-5 (5x-3)=0
    (3x-5) (5x-3)=0
    II. 15y² +(10+12)y + 8 = 0
    15y² + 10y + 12y + 8 = 0
    5y (3y+2) +4 (3y+2)=0
    (3y+2) (5y+4)=0
    x > y

     

  2. I. 4x^4 – 5x^2 + 1 = 0
    II. 2y^2 + 11y + 14 = 0

    y>x
    x=y or relation cannot be established.
    x>=y
    x>y
    y>=x
    Option D
    I.4x^4 – 5x^2 + 1 = 0
    (x^2 – 1)(4^2 – 1) = 0
    x = +1, -1, 1/2 or -1/2
    II.2y^2 + 11y + 14 = 0
    (y + 2)(2y + 7) = 0
    y = -2, -7/2
    x > y

     

  3. I. x^2 – 7 √3 x + 36 = 0
    II. y^2 – 11 √3 y + 84 = 0

    x=y or relation cannot be established.
    x>y
    y>=x
    y>x
    x>=y
    Option C
    I. x^2 – 7 √3 x + 36 = 0
    => x^2 – 4 √3 x – 3 √3 x + 36 = 0
    => x (x – 4 √3) – 3√3 (x – 4√3) = 0
    => (x – 3√3) (x – 4√3) = 0
    x = 3√3, 4√3
    II. y^2 – 11√3 y + 84 = 0
    => y^2 – 4√3 y – 7√3 y + 84 = 0
    => y (y – 4√3)– 7√3 (y – 4√3) = 0
    => (y – 7 √3) (y – 4√3) = 0
    y = 7 √3, 4√3
    y>=x

     

  4. I. x^2 = 361
    II. y^3 = 7269 + 731

    x=y or relation cannot be established.
    y>x
    y>=x
    x>=y
    x>y
    Option B
    I. x^2 = 361
    x = ± 19
    II. y^3 = 7269 + 731
    y^3 = 8000
    y = 20
    x < y

     

  5. I. x^2 – 6x + 135 = 0
    II. y^2–30y+225 = 0

    x>y
    y>=x
    y>x
    x>=y
    x=y or relation cannot be established.
    Option B
    I.x^ 2–6x + 135 = 0
    x^2 – 15x + 9x + 135 = 0
    x = +15, –9
    II.y^2–30y+225 = 0
    y^2–15y–15y+225 = 0
    y = +15, +15
    y>=x

     


  6. Directions(6-10):
    Study the following graph carefully and answer the questions given below.
    Percentage growth in the population of six villages A, B, C, D, E and F from 2011 to 2012 and 2012 to 2013.

    Actual Population of these villages in three different years:

  7. Which of the following villages had maximum population in the year 2011?
    B
    A
    D
    C
    E
    Option C
    Population in 20011 A = 3000 × 100/120 = 2500
    B = 1980 × 100/110 = 1800
    C = 2400 × 100/120 = 2000
    D = 3000
    E = 1250
    F = 1200

     

  8. What was the population of village ‘F’ in 2013?
    2025
    2525
    2020
    3025
    2000
    Option A
    F’s population in 2012 = 1620
    In 2013 = 1620 × 125/100 = 2025

     

  9. Population of village ‘E’ in 2011 was approximately what per cent of its population in 2013?
    63%
    66%
    70%
    64%
    60%
    Option D
    E’s population in 2011 = 1250
    2012 = 1500
    2013 = 1500 × 130/100 = 1950
    Required % = 1250/1950*100 = 64.1% == 64%

     

  10. If the populations of villages ‘C’ and ‘D’ in 2012 are in the ratio of 2 : 3 respectively, what was the population of village ‘D’ in 2011?
    4000
    5000
    2000
    3000
    1000
    Option D
    C’s population in 2013 = 2760
    C’s population in 2012 = 2760 × 100/115 = 2400
    D’s population in 2012 = 2400 × 3/2 = 3600
    D’s population in 2011 = 3600 × 100/120 = 3000

     

  11. Which of the following villages had minimum population in the year 2012?(Refer previous question)
    E
    B
    A
    C
    D
    Option A
    A’s population = 3750 × 100/125 = 3000
    B’s population = 1980
    C’s population = 2400
    D’s population = 3600
    E’s population = 1250 × 120/100 = 1500
    F’s population = 1200 × 135/100 = 1620
    In village E the population is minimum.

     


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