Quant Test for SBI PO 2018 Prelim Exam Set – 69

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): In the following questions, two equations numbered are given in variables x and y. You have to solve both the equations and find out the relationship between x and y. Then give answer accordingly.

1. I. x² + 29x + 208 = 0
   II. y² + 19y + 78 = 0
   y>=x
   y>x
   x>y
   x=y or relation cannot be established.
   x>=y
   Option A
   x² + 29x + 208 = 0
   x = -13, -16
   y² + 19y + 78 = 0
   y = -13, -6
   x ≤ y

    

2. I. 3x² + 19x + 28 = 0
   II. 3y² + 13y + 14 = 0
   x=y or relation cannot be established.
   x>=y
   y>x
   y>=x
   x>y
   Option D
   3x² + 19x + 28 = 0
   3x² + 12x + 7x + 28 = 0
   x = -4, -7/3
   3y² + 13y + 14 = 0
   3y² + 6y + 7y + 14 = 0
   y = -7/3, -2
   x ≤ y

    

3. I. 2x² – 19x + 42 = 0
   II. 3y² – 13y + 12 = 0
   x>y
   x=y or relation cannot be established.
   y>=x
   y>x
   x>=y
   Option A
   2x² – 19x + 42 = 0
   2x² – 12x – 7x + 42 = 0
   x = 7/2, 6
   3y² – 13y + 12 = 0
   3y² – 9y + 4y + 12 = 0
   y = 4/3, 3
   x > y

    

4. I. 4x² + 3x – 27 = 0
   II. 15y² – 38y – 21 = 0
   x=y or relation cannot be established.
   x>y
   x>=y
   y>x
   y>=x
   Option A
   4x² + 3x – 27 = 0
   4x² + 12x – 9x – 27 = 0
   x =2.25, -3
   15y² – 38y – 21 = 0
   15y² – 45y + 7y – 21 = 0
   y = 3, – 0.46
   x = y or relation cannot be established .

    

5. I. 6×2 + 7x -3 = 0
   II. y (10y – 1) = 2
   x>=y
   y>x
   y>=x
   x>y
   x=y or relation cannot be established.
   Option E
   6 x² + 7x -3 = 0
   6 x² + 9x – 2x – 3 = 0
   x = -1.5, 0.3
   y (10y – 1) = 2
   10y² – y – 2 = 0
   10y² – 5y + 4y – 2 = 0
   y = 0.5, -0.4
   x = y or relation cannot be established .

    


Directions(6-10): Study the information carefully and answer the questions that
follow:
The following pie-chart shows the percentage of employees of Bank X who are interested in
different sports activities.



6. The number of employees interested in Gymnastics is what percentage of the number of employees interested in Hockey? (Calculate approximate percentage)
   12%
   21%
   19%
   33%
   10%
   Option B
   Number of employees interested in Gymnastics
   = 65000 * 2.5/100 = 1625
   Number of employees interested in Hockey
   = 65000 * 12/100 = 7800
   Required % = 1625/7800 × 100
   = 20.83% == 21%

    

7. What is the difference between the number of employees interested in Cricket and the total number of employees interested in Baseball, Hockey and Gymnastics together?
   850
   900
   700
   450
   650
   Option E
   Required difference
   = 65000/100*{30 – (14.5 + 12 + 2.5)}
   = 65000/100* (30 – 29) = 650

    

8. The number of employees interested in Hockey is approximately what per cent of the employees interested in Football, Atheletics and Baseball together?
   22%
   40%
   15%
   30%
   24%
   Option A
   Number of employees interested in Hockey
   = 65000 * 12/100 = 7800
   Number of employees interested in Football, Athletics and Baseball together = 65000(21 + 20 + 14.5)/100
   = 650 × 55.5 = 36075
   Required % = 7800/36075 × 100 = 21.62 == 22%

    

9. The number of employees interested in Athletics is approximately what per cent of the number of employees interested in Baseball?
   133%
   128%
   100%
   138%
   150%
   Option D
   Number of employees interested in Athletics
   = 65000 * 20/100 = 13000
   Number of employees interested in Baseball = 65000 * 14.5/100 = 9425
   Required % = 13000/9425*100 = 137.93 = 138%

    

10. What is the ratio of employees interested in Gymnastics to the number of employees interested in Baseball?
    5 : 22
    5 : 29
    4 : 19
    3 : 17
    7 : 23
    Option B
    Required ratio = 2.5/14.5
    =25/145 = 5 : 29