SBI PO Quantitative Aptitude For Prelims: 8th March 2019

Dear Aspirants,
SBI PO Quantitative Aptitude For Prelims: 8th March 2019

Quantitative Aptitude Quiz For SBI PO 

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 pipes A and B can fill a tank in 15 hours and 20 hours respectively while a third pipe C can empty the full tank in 25 hours. All the three pipes are opened in the beginning. After 10 hours, C is closed, In how much time, will the tank be full?

12 hrs
13 hrs
16 hrs
18 hrs
8 hrs
Solution:

Q2. Two pipes can fill a cistern in 14 and 16 hours respectively. The pipes are opened simultaneously and it is found that due to leakage in the bottom of the cistern, it takes 32 minutes extra for the cistern to be filled up. When the cistern is full, in what time will the leak empty it ?

114 hr
112 hr
100 hr
80 hr
12 hr
Solution:

Q3. The ratio between the speed of a train and a car is 6 : 1 respectively. Also, a bus covered a distance of 480 kms in 12 hours. The speed of the bus is five–ninths the speed of the train. How much distance will the car cover in 5 hours?

250 kms.
280 kms.
260 kms.
Cannot be determined
None of these
Solution:



Q4. Train-A crosses a pole in 25 seconds and another Train-B crosses as pole in 1 minute and 15 seconds. The Length of the train-A is half the length of the train-B. What is the respective ratio between the speed of the train-A and the train-B ?

3 : 2
3 : 4
4 : 3
5 : 2
Cannot be determined
Solution:

Q5. A, B and C can do a work in 8, 16 and 24 days respectively. They all begin together. A continues to work till it is finished, C leaving off 2 days and B one day before its completion. In what time is the work finished?

3 days
4 days
5 days
8 days
2 days
Solution:

Directions (6-10): In each of these questions, two equations numbered I and II are given. You have to solve both the equation and give answer 


Q6. I. x² + x - 12 = 0
II. y² - 5y + 6 = 0

if x < y
if x ≤ y
if x > y
if x ≥ y
if x = y or the relationship cannot be established
Solution:

Q7. I. x² + 9x + 18 = 0 
 II. y² - 13y + 40 = 0

if x < y
if x ≤ y
if x > y
if x ≥ y
if x = y or the relationship cannot be established
Solution:

Q8. I. x² – 6x = 7 
II. 2y² + 13y + 15 = 0

if x < y
if x ≤ y
if x > y
if x ≥ y
if x = y or the relationship cannot be established
Solution:

x² – 6x – 7 = 0
⇒ x² – 7x +x– 7 = 0
⇒ x (x – 7) +1(x – 7) = 0
⇒ (x + 1) (x – 7) = 0
⇒ x = –1 or 7
II. 2y² + 13y + 15 = 0
⇒ 2y² + 3y + 10y + 15 = 0
⇒ y (2y + 3) + 5 (2y + 3) = 0
⇒ (y + 5) (2y + 3) = 0
⇒ y = –5 or -3/2
∴ x > y

Q9. I. x² – (1+√2) x + √2 = 0 
II. y² – 3y + 2 = 0

if x < y
if x ≤ y
if x > y
if x ≥ y
if x = y or the relationship cannot be established
Solution:

I. x² - x -√2 x +√2 = 0
⇒ x (x - 1) – √2 (x - 1) = 0
⇒ (x - √2)(x - 1) = 0
⇒ x = √2 or 1
II. y² – 3y +2 = 0
⇒ y² - 2y – y+ 2 = 0
⇒ y (y – 2) – 1 (y - 2) = 0
⇒ (y - 1) (y - 2) = 0
⇒ y = 1 or 2
∴ Relation cannot be established between x and y.

Q10. I. x² – 463 = 321 
II. y² – 421 = 308

if x < y
if x ≤ y
if x > y
if x ≥ y
if x = y or the relationship cannot be established
Solution:

I. x² = 463 + 321 = 784
∴ x = ±28
II.y² = 308 + 421 = 729
∴ y = ±27
Relation cannot be established between x and y.

Directions (11-15): Study the following graph carefully and answer the questions given below: 




Q11. What was the average profit earned by all the three companies in the year 2008 ?

Rs. 300 crore
Rs. 400 crore
Rs. 350 crore
Rs. 520 crore
Rs. 450 crore
Solution:

Q12. In which of the following years was the difference between the profits earned by company B and company A the minimum ?

2003
2004
2005
2008
2007
Solution:

From line graph, it is clear that in the year 2007, the difference is minimum.

Q13. In which of the following years was the total profit earned by all three companies together the highest ?

2004
2007
2008
2009
2003
Solution:

From graph, the highest total profit is earned in 2009 and it is
= 400 + 425 + 475
= 1300

Q14. What was the approximate percentage increase in the profit earned by Company A from 2006 to 2007 ?

36
24
40
20
54
Solution:

Q15. What was the difference between the profit earned by company A in 2004 and the profit earned by company C in 2009 ?

Rs. 50 crore
Rs. 1 crore
Rs. 100 crore
Rs. 200 crore
Rs. 25 crore
Solution:

Required difference = (Profit earned by A in 2004) ~ (Profit earned by C in 2009)
= 400 – 300
= 100 crore

               






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