Dear Students,
Q1. Two trains start moving at same time from station A and station B towards each other. The distance between the station A and B is 160 km. If they meet at a point 100 km from station A then find the ratio of their speeds?
Q6. (i) 2x² + 13x + 21 = 0
(ii) 2y² + 3y – 20 = 0
(ii) 2y² – 9y + 9 = 0
(ii) y² + 11y + 18 = 0
(ii) 2y² – 13y + 21 = 0
y = √(5599–415)
Q11. 299.85 – 145.05 + 29.99 × 12.02 =?
Q12. 1441 ÷ 36 + 2/9 × 4049 – 125.01 =?
Q14. 9659 ÷ 20.99 + 7921 ÷ 11.97 =?
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.
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Q1. Two trains start moving at same time from station A and station B towards each other. The distance between the station A and B is 160 km. If they meet at a point 100 km from station A then find the ratio of their speeds?
5 : 9
3 : 5
6 : 5
5 : 3
11 : 17
Solution:
Q2. A car meets with an accident while going to its destination and moves at ⅖ of its actual speed. Also, due to accident, it is late by 60 minutes. Find the actual time taken by the car to reach its destination? 80 min.
40 min.
60 min.
30 min.
50 min.
Solution:
Q3. A bus travels at 40 km/hr from Delhi to Kanpur and 60 km/hr from Kanpur to Delhi. What is the average speed of bus for total journey ? 48 km/hr
40 km/hr
52 km/hr
20 km/hr
35 km/hr
Solution:
Q4. P can fill water in a tank in 12 days and Q can fill it in 18 days, while R can completely empty the tank in 36 days. If they start working together at same time, in how many days the tank fill completely ? 9 days
12 days
16 days
6 days
22 days
Solution:
Q5. 6 men can do a work in 18 days and 12 women can do the same work 15 days. In how many days can 12 men and 10 women complete the same work ? 6 days
10 days
12 days
3 days
9 days
Solution:
Directions (6-10): In the given question, two equations numbered I & II are given, solve the equation and mark the answer — Q6. (i) 2x² + 13x + 21 = 0
(ii) 2y² + 3y – 20 = 0
if x > y
if x ≥ y
if x = y or relationship between x and y cannot be determined
if x < y
if x ≤ y
Solution:
Q7. (i) 2x² + 19x + 44 = 0 (ii) 2y² – 9y + 9 = 0
if x > y
if x ≥ y
if x = y or relationship between x and y cannot be determined
if x < y
if x ≤ y
Solution:
Q8. (i) 5x² – 7x + 2 = 0 (ii) y² + 11y + 18 = 0
if x > y
if x ≥ y
if x = y or relationship between x and y cannot be determined
if x < y
if x ≤ y
Solution:
Q9. (i) x² – 11x + 24 = 0 (ii) 2y² – 13y + 21 = 0
if x > y
if x ≥ y
if x = y or relationship between x and y cannot be determined
if x < y
if x ≤ y
Solution:
Q10. x² = 5184 y = √(5599–415)
if x > y
if x ≥ y
if x = y or relationship between x and y cannot be determined
if x < y
if x ≤ y
Solution:
Directions (11-15): What will come in place of question mark (?) in the following questions (you are not expected to find exact value)? Q11. 299.85 – 145.05 + 29.99 × 12.02 =?
515
395
475
425
575
Solution:
? ≃ 300 – 145 + 360
? ≃ 515
? ≃ 515
Q12. 1441 ÷ 36 + 2/9 × 4049 – 125.01 =?
830
815
840
850
755
Solution:
Q13. √325× 7 .99 + 705.97 =? 895
750
675
850
800
Solution:
? ≃ 18 × 8 + 706
? ≃ 850
? ≃ 850
Q14. 9659 ÷ 20.99 + 7921 ÷ 11.97 =?
1140
1160
1120
1150
1245
Solution:
Q15. 1401 ÷ 34.97 + 21.98 × √626 =? 590
700
540
550
650
Solution:
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