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**Quantitative Aptitude Quiz For NIACL AO**

**Directions (1-5): Two equations I and II are given below in each question. You have to solve these equations and give answer **

**Q1. **

**Q2. I. y² - x² = 32 **

**II. y - x = 2**

**Q3. I. x² - 5x - 14 = 0 **

**II. y² + 7y + 10 = 0**

**Q4. I. 8x² + 78x + 169 = 0 **

**II. 20y² - 117y + 169 = 0**

**Q5. I. 5x² + 2x - 3 = 0 **

**II. 2y² + 7y + 6 = 0**

**Directions (6-7): Compare the value (only magnitude) of 2 quantities given in the question and give answer **

**Q6. Quantity I: **‘x’: X, Y and Z can finish a work alone in 12, 18 and 9 days respectively. X started the work and Y and Z together assisted him on every 3rd day. ‘x’ is total days in which work is completed.

**Quantity II: **‘y’: A, B and C can finish a work alone in 20, 12 and 15 days respectively. All three starts working together, after 2 days B left the work, after 4 more days C left and remaining work is completed by A alone. A worked for ‘y’ days.

**Q7- There are 5 Red pens, 4 Black pens & 3Green pens in a bag. Four pens are chosen at random **

**Quantity I: **The probability of being 2 Red pens and 2 Black pens.

**Quantity II: **The probability of being 2 Red pens, 1 Green pen & 1 blacks pen.

Quantity II. (5C2 * 4C1 *3C1)/12C4 =120/495=8/33

Quantity II > Quantity I

**Q8. Manoj incurred a loss of 40 percent on selling an article for Rs. 5,700. At what price should he have sold the item to have profit of 30%?**

**Q9. The difference between Circumference of circle A and diameter is 90 cm . If Radius of Circle B is 7 cm less than circle A then find area of Circle B? **

ATQ

2πr - 2r = 90

r = 21 cm

Radius of circle B = 14 cm

Area of circle B = 616 cm²

**Q10. Rita and Gita enter into a partnership with their initial investments of Rs. 24000 and Rs. 40,000 respectively. They decided to distribute 40% of profit equally between them and rest according to their investment ratio. If total profit after a year was Rs. 16,800 then find profit of Rita. **

**Directions (11-15): What should come in the place of question mark (?) in the following number series problems? **

**Q11. 325, 314, 288, 247, 191, ?**

**Q12. 620, 632, 608, 644, 596, ?**

**Q13. 120, 320, ?, 2070, 5195, 13007.5**

**Q14. 6, 4, 8, 23, ?, 385.25**

**Q15. 5, 11, 32, 108, 444, ?**