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__Quantitative Aptitude Practice Questions for Bank Exams, IPPB and RBI Assistant__

**Directions (1 – 5): Study the following graph carefully and answer the questions given below:**

The following Pie- charts show the
distribution of candidates enrolled for Engineering (Chart-I) and the
candidates who have successfully completed the course (Chart-II) from different
institutes.

**Candidates enrolled = 12000**

**Candidates who have successfully completed the course = 9000**

**1. Which institute has the highest percentage of students successful with respect to those enrolled?**

a) V

b) U

c) R

d) S

e) None of these

**2. What percent of candidates from institutes T have come out to be successful out of the total candidates enrolled in the institutes?**

a) 60%

b) 75%

c) 45%

d) 55%

e) None of these

**3. In which of the following institutes, the number of successful candidates is equal to the number of enrolled candidates in institute S?**

a) P

b) Q

c) R

d) T

e) None of these

**4. What is the ratio candidates successful to those enrolled for institute U and V together?**

a) 45 : 46

b) 35 : 48

c) 33 : 47

d) 35 : 42

e) None of these

**5. If there were 15% candidates enrolled in institute S in place of 16%, then what would be the success percentage in institute S?**

a) 20%

b) 40%

c) 60%

d) 70%

e) None of these

**Directions (6 – 10): In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer:**

a) if x > y

b) if x ≥ y

c) if x < y

d) if x ≤ y

e) if x = y or relationship cannot be established

**6. I. 5x**

^{2}- 29x + 20= 0 II. 6y^{2}- 23y+7 = 0**7. I. x =**

^{3}√6859 II. y^{2}= 361**8. I.x**

^{2}- 6x - 27=0 II.y^{2}+9y+20=0**9. I.2x**

^{2}+ 19x +42 = 0 II. 4y^{2}+43y+30=0**10. I.x**

^{2}-30x+200=0 II.3y^{2}-40y+125=0**Solutions:**

**1. C)**Here, we use simply divide the % number of successful candidatesthe by the % number of candidates enrolled in the same institute then we got R has maximum percentage.

**2. A)**Required Percentage = (9000*8%)/(12000*10%) *100 = 720/1200 *100 = 60 %

**3. E)**No any institute of successful candidates is equal to the number of enrolled candidates in institutes S

**4. B)**Total successful candidates for institute U and V = (9000*35)/100 = 3150

Total enrolled candidates for
institute U and V = (12000*36)/100 = 4320

Required ratio = 3150/4320 = 35 : 48

**5. D)**The success percentage in Institute S = (9000*14%)/(12000*15%) *100 = 70%

**6. E)**I.5x

^{2}- 29x+20=0

(5x-4) (x-5)

x = +4/5, +5

II. 6y

^{2}- 23y+7 = 0
(3y-1) (2y-7)

y = +1/3, +7/2

So answer is no relation.

**7. B)**x = 19; y = ± 19 so x ≥ y

**8. A)**I.x

^{2}- 6x - 27=0

(x+3) (x-9)

x = -3, +9

II.y

^{2}+9y+20=0
(y+4) (y+5)

y = -4, -5

So answer is x>y

**9. E)**I. 2x

^{2}+ 19x +42 = 0

(2x+7) (x+6)

x = -7/2, -6

II. 4y

^{2}+43y+30=0
(4y+3) (y+10)

y = -3/4, -10

So answer is no relation.

**10. A)**I.x

^{2}-30x+200=0

(x-10) (x-20)

x = +10, +20

II.3y

^{2}-40y+125=0
(y-5) (3y-25)

y = +5, +25/3

So answer is x>y