# Quantitative Aptitude for IBPS RRB PO and Clerk Mains: 22nd September 2018

**Dear Students,**

**Numerical Ability**or Quantitative Aptitude Section has given heebie-jeebies to the aspirants when they appear for a banking examination. As the level of every other section is only getting complex and convoluted, there is no doubt that this section, too, makes your blood run cold. The questions asked in this section are calculative and very time-consuming. But once dealt with proper strategy, speed, and accuracy, this section can get you the maximum marks in the examination. Following is the

*Quantitative Aptitude quiz to help you practice with the best of latest pattern questions.*

**Directions (1-5): 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 or no relation can be established between x and y.

(d) if y > x

(e) if y ≥ x

**Q1. (i)**x² – 12x + 32 = 0

**(ii)**y² – 20y + 96 = 0

**Q2. (i)**2x² – 3x – 20 = 0

**(ii)**2y² + 11y + 15 = 0

**Q3. (i)**x² – x – 6 = 0

**(ii)**y² – 6y + 8 = 0

**Q4. (i)**x² + 14x - 32 = 0

**(ii)**y² – y – 12 = 0

**Q5. (i)**x² – 9x + 20 = 0

**(ii)**2y² – 12y + 18 = 0

**Solutions (1-5):**

**Q6. Aniruddh can finish a job in 20 days. Ritika and Sakshi can finish the same job in 10 days. If ratio of efficiency of Ritika and Sakshi is 1:3 respectively, then find the time taken by all three to complete the same job working together.**

(a) 20/3 days

(b) 5 days

(c) 17/3 days

(d) 23/3 days

(e) 6 days

**Q7. Two containers contain honey and milk in the ratio 7:3 and 2:3 respectively. In what ratio should the contents of the containers be mixed such that the final ratio of honey and milk in the resultant solution becomes 23:17.**

(a) 5 : 3

(b) 7 : 5

(c) 4 : 3

(d) 11 : 9

(e) 7 : 6

**Q8. The curved surface area of a cylinder is equal to the curved surface area of a cone. If radius of both is equal and radius of cone is twice of its height, then find the ratio of height of cylinder to that of cone.**

(a) 2: √5

(b) 1: 2

(c) √5: 2

(d) √3: 1

(e) √5: 3

**Q9. Bhuvan can swim 24 km upstream and 36 km downstream in 9 hours. If the difference between upstream speed and downstream speed of Bhuvan is 8 km/hr, then find the speed of Bhuvan in still water.**

(a) 6 km/hr

(b) 9 km/hr

(c) 10 km/hr

(d) 8 km/hr

(e) 7 km/hr

**Q10. Neha’s present age is 20% of Simaran’s present age. After some years, Neha’s age will become 60% of Simaran’s age at that time. By what percent will Simaran’s age increase during this period?**

(a) 100 %

(b) 120 %

(c) 80 %

(d) 90 %

(e) 125 %

**Solutions (6-10):**

**Directions (11-15): The bar graph given below shows the total number of employees who are newly employed in different companies of their Delhi branch and the table shows the percentage of employees who got their first incentive in each company.**

**Q11. What is the percentage of employees in HCL and ADDA 247 together who got their first incentive out of total employees working in these two companies?**

(a) 65%

(b) 58%

(c) 43%

(d) 34%

(e) none of these

**Q12. If 20% of employees out of those employees of TCS who did not get their first incentive are fired, then find the ratio of no. of employees who remain in TCS without getting their first incentive to the number of employees who got their first incentive in BPL.**

(a) 2∶15

(b) 1∶5

(c) 8∶15

(d) 1∶3

(e) none of these

**Q13. The employees who got their first incentive in Wipro are of different age – 24 years, 26 years and 28 years in ratio 3 : 1 : 2 respectively. Find the difference between number of employees of age 24 years and those who are of age 26 years out of the total employees who got their first incentive in Wipro.**

(a)12

(b)15

(c)13

(d)10

(e) none of these

**Q14. If none of the employees from each company is fired, then what’s the percentage of employees in TCS, HCL, ADDA 247 and BPL together who got their first incentive out of total employees working in these companies.**

(a) 53 1/7%

(b) 52 1/7%

(c) 51 1/7%

(d) 50 1/7%

(e) none of these

**Q15. The probability of an employee who has got first incentive in Wipro to leave the company is ⅓ and that of an employee who has not got first incentive is ½, then find the probability of an employee in Wipro leaving the company.**

(a) 2/9

(b) 4/9

(c) 1/2

(d) 1/3

(e) None of these