**Dear Aspirants,**

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**Quantitative Aptitude Quiz For IBPS PO/Clerk Prelims**

**Q1. 16 men and 12 women can complete a work in 8 days. If 20 men can complete the same work in 16 days, in how many days 20 women can complete the same price of work?**

**Q2. A and B together can do a work in 10 days. C can destroy the same work in 28 days. A and B started the work and work for 12 days simultaneously and C started with them for destroying the work for same 12 days. After that A and C leave and B complete the remaining work in 4 days in how many days A alone can complete the same work. **

**Q3. In how many different ways can the letters of the word ‘VIRTUAL’ be arranged such that all the vowels come together?**

∴ Required number of arrangements = 5! × 3!

= 5 × 4 × 3 × 2 × 1 × 3 × 2 × 1

= 720

**Q4.A and B can complete a work in 12 days together, B and C can complete the same work in 15 days together and A and C can complete that work in 20 days together. In how many days A can complete the same work alone?**

**Q5. Out of 5 women and 4 men, a committee of three members is to be formed in such a way that at least one member is a woman. In how many different ways can this be done?**

**Q6. A and B are two pipes which can fill a tank individually in 15 minutes and 25 minutes respectively, however there is a leakage at the bottom of tank which can empty the filled tank in 30 minutes. If the tank is empty initially, how much time will both the taps take to fill the tank (leakage is still there)?**

**Q7. In how many different ways can the letters of the word ‘TOTAL’ be arranged?**

**Q8. In how many ways I can make to seat my 7 friends around a circular table for a tea party such that my best friend always seats in front of me? **

Note: Here, we will not multiply by 2! As it is already included in the total no. of ways.

**Q9. 2 men can complete a piece of work in 6 days. 2 women can complete the same piece of work in 9 days, whereas 3 children can complete the same piece of work in 8 days. 3 women and 4 children worked together for 1 day. If only men were to finish the remaining work in a day, how many total men would be required? **

**Q10. In how many ways the letters of the word ‘PLUMBER’ be arranged such that U, M always come together and P and R always come at end places? **

**Directions (11-15): In the following questions two equations numbered I and II are given. You have to solve both the equations and– **

**Q11. I. 6p² + 5p + 1 = 0 **

**II. 20q² + 9q = -1 **

**Q12. I. 3p² + 17p + 10 = 0 **

**II. 10q² + 9q + 2 = 0 **

**Q13. I. p² + 24 = 10p **

**II. 2q² + 18 = 12q **

**Q14. I. 5p + 2q = 96 **

**II. 3 (7p + 5q) = 489 **

**Q15. **