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

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

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?
  1. 4/3 hours
  2.  4 hours
  3. 3 hours
  4.  5/3 hours
  5.  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?
  1.  20º
  2.  30º
  3.  25º
  4.  40º
  5.  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?
  1. 52 years
  2.  58 years
  3.  60 years
  4.  54 years
  5.  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?
  1.  165 : 325 : 576
  2.  160 : 315 : 576
  3.  18 : 63 : 160
  4.  170 : 315 : 576
  5.  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?
  1.  4 km/hr
  2.  6 km/hr
  3.  14 km/hr
  4.  10 km/hr
  5.  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:
  1.  13.25%
  2.  12%
  3.  10%
  4.  14%
  5.  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 :
  1. If x > y
  2.  If x ≥ y
  3.  If x ≤ y
  4.  If x < y
  5. 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
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