Mixed Quantitative Aptitude Questions Set 77

Hello Aspirants

State Bank of India (SBI) is going to conduct examination for its recruitment for the post of Probationary Officers (SBI PO 2018) for a total of 2000 vacancies.

Click here to know the details of the Examination

The examination will be held in three phases i.e. Preliminary Examination, Main Examination and Group Exercise & Interview. The Preliminary Exam is scheduled on 1st, 7th & 8th of July 2018. Details 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. 5x^2 – 29x + 36 = 0
   II. 10y^2 – 3y – 27 = 0
   y>x
   x=y or relation cannot be established.
   x>y
   y>=x
   x>=y
   Option E
   I. 5x^2 – 29x + 36 = 0
   => 5x^2 – 20x – 9x + 36 = 0
   => 5x(x-4) – 9(x-4) = 0
   => (x-4)(5x-9) = 0
   => x = 4 , 9/5
   II. 10y^2 – 3y – 27 = 0
   => 10y^2 – 18y + 15y – 27 = 0
   > 2y (5y-9) + 3(5y – 9) = 0
   => y = 9/5 , -3/2
   x>=y

    

2. I. 7x^2 – 54x + 99 =0
   II. 4y^2 – 16y + 15 = 0
   x>y
   x>=y
   y>=x
   y>x
   x=y or relation cannot be established.
   Option A
   I. 7x^2 – 54x + 99 =0
   => 7x^2 – 33x – 21x + 99 =0
   => x(7x – 33) – 3(7x – 33) = 0
   => x = 333/7 , 3
   II. 4y^2 – 16y + 15 = 0
   => 4y^2 – 10y – 6y + 15 = 0
   => 2y (2y – 5) – 3(2y-5) = 0
   => y = 5/2 , 3/2
   x>y

    

3. I. x^2 – 6x – 91 = 0
   II. y^2 – 32y + 247 = 0
   y>=x
   x>y
   x>=y
   x=y or relation cannot be established.
   y>x
   Option A
   I. x^2 – 6x – 91 = 0
   => x^2 – 13x + 7x – 91 = 0
   => x = 13, -7
   II. y^2 – 32y + 247 = 0
   => y^2 – 19y -13y + 247 = 0
   => y = 19, 13
   x ≤ y

    

4. I. x^2 + 5x – 14 = 0
   II. y^2 + 24y + 128 = 0
   x=y or relation cannot be established.
   y>x
   y>=x
   x>=y
   x>y
   Option E
   I.x^2 + 5x – 14 = 0
   => x^2 + 7x – 2x – 14 = 0
   => x = -7, 2
   II. y^2 + 24y + 128 = 0
   => y^2 + 16y + 8y + 128 = 0
   => y = -16, -8
   x > y

    

5. I. x^2 + x – 30 = 0
   II. y^2 – 11y + 30 = 0
   x=y or relation cannot be established.
   x>=y
   y>x
   x>y
   y>=x
   Option E
   I. x^2 + x – 30 = 0
   => x^2 + 6x – 5x – 30 = 0
   => x = – 6, 5
   II. y^2 – 11y + 30 = 0
   => y^2 – 5y – 6y + 30 = 0
   => y = 5, 6
   x ≤ y

    

Directions(6-10): Study the pie-chart carefully to answer the following questions.
Percentage of students studying different specialisations in a management institute.

Ratio of men to women in each specialisation


6. What is the total number of men studying Banking and International Business?
   1050
   1500
   1020
   1015
   1000
   Option D
   The required number of men
   = 675 + 340
   = 1015

    

7. In which specialisation do the maximum number of women study?
   Marketing
   Finance
   IT
   HR
   Banking
   Option C
   IT

    

8. What is the total number of men studying in the institute?
   2421
   2312
   2505
   2102
   2200
   Option A
   2421

    

9. The number of women studying Finance is what per cent of the number of men studying the same?
   70%
   50%
   30%
   60%
   80%
   Option E
   The required per cent
   = (4/5)*100 = 80%

    

10. The number of women studying Marketing is approximately what per cent of the total number of students in the institute?
    5%
    7%
    9%
    2%
    4%
    Option B
    The required per cent = 5/12*16%
    = 6(2/3)% == 7%