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

**Q1. A trader bought two buffalo for Rs 19,500. He sold one at a loss of 20% and the other at a profit of 15%. If the selling price of each buffalo is the same, then their cost prices are respectively?**

**Q2. A bath tub can be filled by the cold water pipe in 40 minutes and by the hot water pipe in 60 minutes. A person leaves the bathroom after turning on both pipes simultaneously and returns at the moment when the bath should be full. Finding, however, that the waste pipe has been open, he now closes it. In 12 minutes more the bath tub is full. In what time would the waste pipe empty it?**

**Q3. 25 men can do a work in 20 days, when should 15 men leave the work, if the whole work is to be completed in****after they leave the work?**

**Q4. Two equal sums of money are lent at the same times at 8% and 7% per annum simple interest. The former is recovered 6 months earlier than the latter and the amount in each case is Rs. 2560. The sums of money are lent out are : **

**Q5. A person invested some amount at the rate of 12% simple interest and a certain amount at the rate of 10% simple interest. He received yearly interest of Rs. 130. But if he had interchanged the amounts invested, he would have received Rs. 4 more as interest. How much did he invest at 12% simple interest? **

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

**Q6. I. 9x² – 36x + 35 = 0 **

**II. 2y² – 15y – 17 = 0**

⇒ 9x² - 21x – 15x + 35 = 0

⇒ 3x (3x – 7) -5 (3x – 7) = 0

⇒ (3x- 7) (3x – 5) = 0

⇒ x = 5/3, 7/3

II. 2y² – 15y – 17 = 0

⇒ 2y² - 17y + 2y – 17 = 0

⇒ (y + 1) (2y – 17) = 0

⇒ y = -1, 17/2

No relation

**Q7. I. 2x² – 7x + 3 = 0 **

**II. 2y² – 7y + 6 = 0 **

⇒ 2x² - 6x – x +3 = 0

⇒ (x – 3) (2x – 1) = 0

⇒ x = 3, 1/2,

II. 2y² - 7y +6 = 0

⇒ 2y² - 4y – 3y + 6 =0

⇒ (y – 2) (2y – 3) = 0

⇒ y = 2, 3/2

No relation

**Q8. I. 4x² + 16x + 15 = 0 **

** II. 2y² + 3y + 1 = 0 **

⇒ 4x² + 10x + 6x + 15 = 0

⇒ 2x (2x + 5) + 3 (2x + 5) = 0

⇒ (2x + 5) (2x + 3) = 0

⇒ x= -5/2, -3/2

II. 2y² + 3y + 1 = 0

⇒ 2y² + 2y + y + 1 = 0

⇒ (y + 1) (2y + 1) = 0

⇒ y = -1, -1/2

y > x

**Q9. I. 9x² – 45x + 56 = 0 **

**II. 4y² – 17y + 18 = 0 **

⇒ 9x² - 24x – 21x + 56 = 0

⇒ 3x (3x – 8) – 7 (3x – 8) = 0

⇒ (3x – 8) (3x – 7) = 0

⇒ x = 8/3, 7/3

II. 4y² - 17y + 18 = 0

⇒ 4y² - 8y – 9y + 18 = 0

⇒ (y – 2) (4y – 9) = 0

⇒ y = 2, 9/4

x>y

**Q10. I. 2x² + 11x + 14 = 0 **

**II. 2y² + 15y + 28 = 0 **

⇒ 2x² + 4x + 7x + 14= 0

⇒ (x + 2) (2x + 7) = 0

⇒ x = -2, -7/2

II. 2y² + 15y + 28= 0

⇒ 2y² + 8y + 7y + 28 = 0

⇒ (y + 4) (2y + 7) = 0

⇒ y = -4, -7/2

⇒ x ≥ y

**Directions (11-15): Find the approximate value of the following questions. **

**Q11. 21 + 4.9 × 7.9 + 9.88 =? **

≃ 71

**Q14. 31.95² – 12.05² + ? = 900 **

⇒ ? ≃ 900 - 880

⇒ ? ≃ 20

**Q15. 1576 ÷ 45.02 + 23.99 × √255=?**