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 35º. What is the value of the third angle of the triangle?
- 20º
- 30º
- 25º
- 40º
- 50º
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 = 360º
∴ 24x = 360º
x = 15º
Hence the largest angle of the triangle = 8 × 15 = 120º
Third angle = 180º – 120º – 35º = 25º
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
