**Dear Aspirants,**

### Quantitative Aptitude Quiz For Uttarakhand District Cooperative Banks Prelims

**Directions (1-5): In each of the following questions two equations are given. You have to solve the equations and Give answer – **

**Q1. 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

**Q2. 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

**Q3. 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

**Q4. I. 6x² + 19x + 15 = 0 **

**II. 24y² + 11y + 1 = 0 **

⇒ 6x² + 9x + 10x + 15 = 0

⇒ (2x + 3) (3x + 5) = 0

⇒ x = –3/2, –5/3

II. 24y² + 11y + 1 = 0

⇒ 24y² + 8y + 3y + 1= 0

⇒ (3y + 1) (8y + 1) = 0

⇒ y = –1/3, –1/8

y > x

**Q5. I. 2x² + 11x + 15 = 0 **

**II. 4y² + 22y + 24 = 0 **

⇒ 2x² + 6x + 5x + 15 = 0

⇒ (x + 3) (2x + 5) = 0

⇒ x = – 3, –5/2

II. 4y² + 22y + 24 = 0

⇒ 2y² + 11y + 12 = 0

⇒ 2y² + 8y + 3y + 12 = 0

⇒ (y + 4) (2y + 3) = 0

⇒ y = –4, –3/2

No relation

**Directions (6-10): What will come in place of (?) in the following no. series? **

**Q6. 121, 144, 190, 259, ? , 466**

**Q7. 8, 64, 216, 512, 1000, 1728, ?**

2³, 4³, 6³, 8³, 10³, 12³, 14³

∴ ? = 2744

**Q8. 3, 4, 10, 33, 136, 685, ?**

×1+1, ×2+2, ×3+3, ×4+4, ×5+5, ×6+6

∴ ? = 685 ×6 + 6

? = 4116

**Q9. 16, 12, 18, 40.5, 121.5, 455.625, ?**

**Q10. 4, 18, 48, 100, 180, 294, ?**

**Directions (11-15): The bar graph shows the sales of six different car-manufacturers in 2016 (in thousand units) in India. The pie-chart shows the break-up of sales of Brand Mahindra in 2016 in different states of India. **

**Note→ All manufactured cars are sold in these given 7 states. **

**Q11. What is the difference between the sales of Mahindra in West Bengal and that in Goa?**

**Q12. By what percent should the sales of brand Mahindra is increased so that its sales volume in Punjab becomes 15000, while the volume of sales in all other state remains the same (approximately)**

**Q13. If in 2017, the total sale of Brand Mahindra increases by 12%, while its sale in Maharashtra is increased by 34% and in M.P. by 22%, what is the approximate sales increase in the rest of the states together? **

**Q14. Total sale of Audi, Acura and Toyota in 2016 is what percent of the total sales of Mahindra in all states together in that year, 2016. (approximately)**

**Q15. If total sale of all brands together increases by 20% in 2017 and sale of Mahindra in West Bengal increase by 10% keeping percentage distribution of Mahindra in these seven states same as previous then, what is the total sale of all cars in 2017 of all brands except brand Mahindra.**