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**Quantitative Aptitude for IBPS PO/Clerk/SO/SEBI/Canara Bank 2018**

1. Three men A, B and C working together can do a job in 6 hrs less time than A alone, in 1 hr less time than B alone and in one half the time need by C when working alone. Then, A and B together can do the job in how many hours?

- 4/3 hours
- 4 hours
- 3 hours
- 5/3 hours
- 2 hours

2. The angles of a quadrilateral are in the ratio of 2 : 5 : 9 : 8. The second largest angle of the quadrilateral is equal to the largest angle of a triangle. One of the angles of the triangle is 35Âº. What is the value of the third angle of the triangle?

- 20Âº
- 30Âº
- 25Âº
- 40Âº
- 50Âº

3. The ratio of the ages of A and B at present is 9 : 4. After 6 years the ratio will become 2 : 1. What is the present age of A?

- 52 years
- 58 years
- 60 years
- 54 years
- 50 years

4. Three partners share the profit in a business in the ratio of 4 : 7 : 12. They partnered for 18 months, 16 months and 15 months respectively. What was the ratio of their investment?

- 165 : 325 : 576
- 160 : 315 : 576
- 18 : 63 : 160
- 170 : 315 : 576
- 180 : 315 : 575

5. A boat goes 24 km upstream and 28 km downstream in 6 hours. It goes 30 km upstream and 21 km downstream in 6 hours 30 min. What is the speed of boat in still water?

- 4 km/hr
- 6 km/hr
- 14 km/hr
- 10 km/hr
- 12 km/hr

6. A financer claims to be lending money at simple interest, but includes the interest every six months for calculating the principal. If he charges 12% interest p.a, then the effective rate of interest for a year becomes:

- 13.25%
- 12%
- 10%
- 14%
- 12.36%

*Directions (Q. 7-10): In each question two equations are provided on the basis of these you have to find the relation between x and y. Give answer :*

- If x > y
- If x ≥ y
- If x ≤ y
- If x < y
- If x = y or no relationship between x and y existsQuestion :

7. I. 5x2 + 23x + 24 = 0 II. y2 + y – 6 = 0

8. I. 4x2 + 5x + 1 = 0 II. y2 + 3y +2 = 0

9. I. 3x + 5y = 9 II. 4x +3y = 6

10. I. 2x2 + x – 3 = 0 II. y2 – 13y + 42 = 0

### Answers:

1. 1;

2. 3; 2x + 5x + 9x + 8x = 360Âº

∴ 24x = 360Âº

x = 15Âº

Hence the largest angle of the triangle = 8 × 15 = 120Âº

Third angle = 180Âº – 120Âº – 35Âº = 25Âº

3. 4;

4. 2;

5. 4;

6. 5;

7. 5; I. 5x2 + 23x + 24 = 0

⇒ 5x2 + 8x + 15x + 24 = 0

or (x + 3) (5x + 8) = 0

⇒ x = – 3, –8/5

II. y2 + y – 6 = 0

⇒ y2 + 3y – 2y – 6 = 0

or (y – 2) (y + 3) = 0

∴ y = 2, –3

∴ No relationship between x and y exists.

8. 2; I. 4x2 + 5x + 1 = 0

⇒ 4x2 + x + 4x + 1 = 0

⇒ (x + 1) (4x + 1) = 0

⇒ x = –1,

II. y2 + 3y +2 = 0

⇒ y2 + 2y + y + 2 = 0

⇒(y + 1) (y + 2) = 0

⇒ y = –1, –2

∴; x ≥ y

9. 4;

10. 4; I. 2x2 + x – 3 = 0

⇒ 2x2 + 3x – 2x – 3 = 0

⇒ (x – 1) (2x + 3) = 0

⇒ x = 1, – 3/2

II. y2 – 13y + 42 = 0

⇒ y2 – 7y – 6y + 42 = 0

⇒ (y – 6) (y – 7) = 0

⇒ y = 6, 7

∴ x < y