# Quantitative Aptitude For NIACL AO Prelims: 22nd January 2019

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**Quantitative Aptitude Quiz For NIACL AO**

Numerical Ability or Quantitative Aptitude Section has given heebie-jeebies to the aspirants when they appear for a banking examination. As the level of every other section is only getting complex and convoluted, there is no doubt that this section, too, makes your blood run cold. The questions asked in this section are calculative and very time-consuming. But once dealt with proper strategy, speed, and accuracy, this section can get you the maximum marks in the examination. Following is the Quantitative Aptitude quiz to help you practice with the best of latest pattern questions.

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

**Q1.**

if x<y

if x>y

if x≤y

if x≥y

if x=y or no relation can be established

**Q2. I. y² - x² = 32**

**II. y - x = 2**

if x<y

if x>y

if x≤y

if x≥y

if x=y or no relation can be established

**Q3. I. x² - 5x - 14 = 0**

**II. y² + 7y + 10 = 0**

if x<y

if x>y

if x≤y

if x≥y

if x=y or no relation can be established

**Q4. I. 8x² + 78x + 169 = 0**

**II. 20y² - 117y + 169 = 0**

if x<y

if x>y

if x≤y

if x≥y

if x=y or no relation can be established

**Q5. I. 5x² + 2x - 3 = 0**

**II. 2y² + 7y + 6 = 0**

if x<y

if x>y

if x≤y

if x≥y

if x=y or no relation can be established

**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.

Quantity I > Quantity II

Quantity I < Quantity II

Quantity I ≥ Quantity II

Quantity I ≤ Quantity II

Quantity I = Quantity II or No relation

**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 I > Quantity II

Quantity I ≥ Quantity II

Quantity II > Quantity I

Quantity II ≥ Quantity I

Quantity I = Quantity II or Relation cannot be established

Solution:

Quantity I. (5C2 * 4C2)/12C4 = 60/495=4/33

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

Quantity II > Quantity I

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%?**

Rs. 12,650

Rs. 9,500

Rs. 11,850

Rs. 11,450

Rs. 12,350

**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?**

556 cm²

616 cm²

588 cm²

532 cm²

630 cm²

Solution:

Let radius of circle A be r cm

ATQ

2Ï€r - 2r = 90

r = 21 cm

Radius of circle B = 14 cm

Area of circle B = 616 cm²

ATQ

2Ï€r - 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.**

Rs. 7,140

Rs. 8,140

Rs. 6,140

Rs. 7,410

Rs. 8,110

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

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

126

116

130

120

110

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

536

556

656

646

436

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

800

920

850

900

820

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

84.5

73

78.5

82

72.5

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

1780

2230

1784

2225

2245

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