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**Quantitative Aptitude Quiz For NIACL AO**

**Q1. A, B and C can complete a piece of work in 10, 12 and 15 days respectively. A left the work 5 days before the work was completed and B left 2 days after A had left. Number of days required to complete the whole work was:**

**Q2. Two trains R and S having their lengths in the ratio of 9 : 11 are running towards each-other from two opposite stations. They cross a platform which length is 50% more than the average length of trains in 16 and 24 seconds respectively. Find the ratio of speed of train R to that of train S.**

**Q3. How many numbers of five digits can be formed by using the digits 1, 0, 2, 3, 5, 6 which are between 50000 and 60000 without repeating the digits?**

**Q4. The ratio of efficiencies of two filling pipes is 4 : 5. There is a third emptying pipe which efficiency is two third of the average efficiency of first two filling pipes can empty a filled tank in 36 minutes. In how much time both the filling pipes can fill the tank when it is empty?**

**Q5. Mr. Harshit can make 40 questions in 5 hours and Mr. Akash can make 45 questions in 9 hours. If Mr. Harshit takes help of Mr. Brijendra then both can complete 40 questions in 2 hours and if Mr. Akash takes help of Mr. Prabhat then both can complete 45 questions in 5 hours. Find in how much time Mr. Brijendra and Mr. Prabhat can complete a set of 24 questions together? **

**Directions (6-10): In each of the following questions two equations are given. You have to solve the equations and Give answer – **

**Q6. I. 3x² + 16x + 21 = 0 **

**II. 6y² + 17y + 12 = 0 **

⇒ 3x² + 9x + 7x + 21 = 0

⇒ (x + 3) (3x + 7) = 0

⇒ x = –3, –7/3

II. 6y² + 17y + 12 = 0

⇒ 6y² + 9y + 8y + 12 = 0

⇒ 3y (2y + 3) + 4 (2y + 3) = 0

⇒ y = – 3/2, –4/3

y > x

**Q7. I. 16x² + 20x + 6 = 0 **

**II. 10y² + 38y + 24 = 0 **

⇒ 8x² + 10x + 3 = 0

⇒ 8x² + 4x + 6x + 3 = 0

⇒ (2x + 1) (4x + 3) = 0

⇒ x = –1/2, –3/4

II. 10y² + 38y + 24 = 0

⇒ 5y² + 19y + 12 = 0

⇒ 5y² + 15y + 4y + 12 = 0

⇒ (y + 3) (5y + 4) = 0

y = –3, –4/5

x > y

**Q8. I. 8x² + 6x = 5 **

**II. 12y² – 22y + 8 = 0 **

⇒ 8x² + 10x – 4x – 5 = 0

⇒ (4x + 5) (2x – 1) = 0

⇒ x = ½, –5/4

II. 12y² – 22y + 8 = 0

⇒ 6y² – 11y + 4 = 0

⇒ 6y² – 3y – 8y + 4 = 0

⇒ (2y – 1) (3y – 4) = 0

⇒ y = 1/2, 4/3

y ≥ x

**Q9. I. 17x² + 48x = 9 **

**II. 13y² = 32y – 12**

⇒ 17x² + 51x – 3x – 9 = 0

⇒ (x + 3) (17x – 3) = 0

⇒ x = 3/17, – 3

II. 13y² – 32y + 12 = 0

⇒ 13y² – 26y – 6y + 12 = 0

⇒ (y – 2) (13y – 6) = 0

⇒ y = 2, 6/13

y > x

**Q10. I. 8x² + 26x + 15 = 0 **

**II. 4y² + 24y + 35 = 0 **

⇒ 8x² + 20x + 6x + 15 = 0

⇒ 4x (2x + 5) + 3(2x + 5) = 0

⇒ (2x + 5) (4x + 3) = 0

⇒ x = – 5/2, –3/4

II. 4y² + 24y + 35 = 0

⇒ 4y² + 10y + 14y + 35 = 0

⇒ 2y (2y + 5) + 7 (2y + 5) = 0

⇒ (2y + 5) (2y + 7) = 0

⇒ y = –5/2, –7/2

x ≥ y

**Directions (11-15): Study the following graph and answer the questions accordingly: **

The following pie-chart shows the production of slippers in India during the month of March 2018

**Q11. What is the difference between the sale of Relaxo in Metro cities and that of UCB in Non Metro cities ? **

**Q12. Which company sells maximum number of slippers in Non Metro cities ? **

**Q13. What percent of the total number of slippers were sold in Metro cities ? **

**Q14. The sale of Sketchers slippers in Metro cities is how much percent less/more than sale of Rupani in Metro cities? **

**Q15. How many Paragon slippers sold in Non- Metro cities? **