# Free High-Level Quantitative Aptitude Questions For SBI PO 2020, IBPS PO 2020 at Smartkeeda

Important for :
1
Two inlet pipes P and Q can fill an empty tank in 18 hours and 20 hours respectively. Both the two pipes were opened simultaneously but as soon as the tank was half filled a leak was detected in the bottom of the tank. After closing that leak, the two inlet pipes took 1 hour less to fill the remaining half of the tank than they had taken to fill the first half of the tank. Find how much time the leak would take to empty the filled tank?
» Explain it
A
Let the capacity of the tank = lcm of 18 and 20 = 180 litres

 Efficiency of P = 180 = 10 litres/hr 18

 Efficiency of Q = 180 = 9 litres/hr 20

If there is no leak then the total time taken by (P + Q) to fill half of the tank
 = 90 = 90 hrs 10 + 9 19

When there is leak then according to the question, the total time taken by them
 = 90 + 1 hr = 109 hrs 19 19

 Efficiency of (P + Q) + leak = 90 109 19

{because 109/19 hrs is taken by P, Q, and leak to fill half of the tank}

 = 90 × 19 litres/hr = 1710 litres/hr 109 109

We know that the efficiency of (P + Q) = (10 + 9) = 19 litres/hr

So, the efficiency of the leak
 = 19 – 1710 = 361 litres/hr 109 109

So the total time taken by the leak to empty the filled tank
 = 180 = 19620 hrs = 54 126 hrs 361 361 361 109

Hence, option A is correct.

2
The perimeter of a square field is 8cm more than the perimeter of a rectangle. The length of the rectangle is 51 cm which is 300% of its width. If a street of width 10 cm surrounds from outside the square,  then find the total cost of constructing the street at the rate of Rs. 25 per sq. cm?
» Explain it
C
Let the width of the rectangle = x cm

Then, 300% of x = 51

 x = 51 × 100 = 17 cm 300

Perimeter of the rectangle = 2(length + width) = 2 × (51 + 17) = 136 cm

Perimeter of the square = (136 + 8) = 144 cm

 The sides of the square = 144 = 36 cm 4
The area of the square field without street = (36)2 sq. cm = 1296 sq. cm

The area of the square field with street = (36 + 20)2 sq. cm = 3136 sq. cm

The area of the street = 3136 – 1296 = 1840 sq. cm

The total cost of constructing the street = 1840 × 25 = Rs. 46,000

Hence, option C is correct.

3
Three friends Anjali, Pooja and Kriti decide to pay their travel fare during a trip in the ratio of 2 : 3 : 4. Anjali pays the first day’s fare which amounts to Rs 500, Pooja pays the second day’s fare which amounts to Rs 600 and Kriti pays the third day’s fare which amounts to Rs 700. When they settle their accounts, how much money does Kriti has to pay to Anjali?
» Explain it
D
Total fare for 3 days = Rs. (500 + 600 + 700) = Rs. 1800/–

According to their agreement,

 Anjali has to pay = 2 × 1800 = 400/– 2 + 3 + 4

 Pooja has to pay = 3 × 1800 = 600/– 2 + 3 + 4

 Kriti has to pay = 4 × 1800 = 800/– 2 + 3 + 4

 Person Amount Paid during the trip Due amount according to ratio Anjali 500 400 Pooja 600 600 Kriti 700 800

But we can see that Anjali paid 100/– more and Kriti paid 100/– less than the amounts they should have paid. Hence Kriti has to pay 100/– to Anjali.

Hence, option (D) is correct.

4
A father stated, “thrice my father’s age is 7 times my age. And my son’s age is cube root of my age. Also, nine years ago, my age was one-third of my father’s age then.” Find the ratio between the age of the father’s father, the father’s son and the father himself is
» Explain it
D
Let father’s age be x, and father’s father age be y.

Then, ATQ,

 7x = 3y or, y = 7x 3

Nine years ago,

ATQ,
 (x – 9) = 1 (y – 9) 3

Replacing the value of y, and simplifying, we get,
 3 (x – 9) = 7x – 9 3

3 (3x – 27) = 7x – 27

9x – 81 = 7x – 27

2x = 81 – 27 = 54

 x = 54 = 27 years 2

 father’s father’s age = 7x = 7 × 9 = 63 years 3

father’s son’s age = (27)1/3 = 3 years

Ratio of ages (in required sequence) = 63 : 3 : 27 = 21 : 1 : 9

Hence, option D is correct.

5
A and B started a business with initial investment in the respective ratio of 3 : 1. After four months from the start of the business, A invests Rs. 2000 more and after two more months B invested Rs. 6000 more. If A's profit share is double of B's share after a year, then what was A's initial investment?
» Explain it
A
In the case of compound partnerships, the profits are shared in the ratio of capital invested. Here capital is a unit calculated as capital = (sum invested) × (time period)

Let the amounts initial amounts invested by A and B be 3t and t respectively. A later invested Rs. 2000 for 8 months and B invests Rs. 6000 for 6 months.

It is given that A's share is double of B's share:

 ∴ A"s investment = 2 B"s investment 1

 ∴ 3t × 12 + 2000 × 8 = 2 t × 12 + 6000 × 6 1

 ∴ 36t + 16000 = 2 12t + 36000 1

24t + 72000 = 36t + 16000

12t = 56000

 3t = 56000 4

3t = 14000

Thus, A's initial investment will be = 3t = Rs. 14000

Hence, option A is correct.

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Welcome to the www.smartkeeda.com, In this article we are going to practice different type of Miscellaneous Arithmetic Questions with Solution for SBI PO Pre 2020, These questions also important for other Bank exams like SBI PO, IBPS PO, IBPS Clerk, SBI Clerk, NIACL, NABARD, LIC etc.

Its a very important topic for SBI PO Aspirants to practice. Miscellaneous Arithmetic  Questions are generally called Word problems which belongs Average, Percentage, Ratio and Proportion,  Profit and Loss, Compound Interest, Simple Interest etc.
This Article will you to understand what type question is being asked in the form miscellaneous in SBI PO Pre, SBI Clerk 2020 Exams. You will also get here Miscellanenous Quesiton for All Bank PO Exams 2020.

Here are the various links that refers to miscellaneous quiz for SBI PO Pre, In this link we will discuss word problems chapter individually one by one.

Average Question and answers for SBI PO Pre 2020

Profit and Loss Questions for SBI PO Pre 2020

Time and Work Questions and Answer for SBI PO Pre 2020

Probability Questions and Answer for SBI PO Pre 2020

Time and Distance Questions and Answer for SBI PO Pre 2020

Compound Interest Questions and Answer for SBI PO Pre 2020

Percentage Questions and Answer for SBI PO Pre 2020

Ration and Proportion Questions and Answer for SBI PO Pre 2020

Permutation and Combination Questions and Answer for SBI PO Pre 2020