# 170+ Quantitative Aptitude Questions and Answers for SBI PO 2020 | IBPS PO 2020 For Free at Smartkeeda

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1
The average age of a family of 5 members was 32 years. 3 years later, the oldest member of the family died at the age of 60. On the same day, a child was born in the family. What would be the average age of the family 20 years after the death of the oldest member?
» Explain it
B
The average age of the family of 5 was 32 years. Hence, the sum of the ages of these 5 people must have been 32 × 5 = 160.
3 years later, each person will grow older by 3 years. Hence, the sum of the ages must be 160 + 15 = 175.

Now, the eldest member has died. So the sum of the ages of all the members of the family will become 175 – 60 = 115

20 years from now, each member will grow older by 20 years. Hence, the sum of the ages of 5 people will be 115 + 20 × 5 = 215

Hence, the average age of the family will be

 215 = 43 years 5

Hence, option B is correct.

2
Amit, Shubham, Rakesh and Ramesh are 4 brothers. Their father divided his property among his four sons such that Amit share is 40% more than Ramesh’s share. Rakesh got 20% of the total property and his share is 5/8 times the share of Shubham. What percent of total property did Amit get?
» Explain it
B
Let the total property of their father be 100x

So, Rakesh will get 20x. Now Rakesh’s share is 5/8 of the share of Shubham. Hence, Shubham’s share must be

 20x × 8 = 32x 5

Thus, their combined share is 52x

Hence, the combined share of Amit and Ramesh is 48x

Now we know that Amit’s share is 40 % more than Ramesh’s share

Thus, y + 1.4y = 48x

⇒ y = 20x

Hence, Amit’s share will be 28x and Ramesh’s share will be 20x

Thus, Amit gets 28% share in the property.

Hence, option B is correct.

3
A man deposited Rs. 40,000 in a bank at 10% per annum, compounded annually for two years. He wanted to keep the amount deposited at the end of the two years, but there was a new law in place that for any amount in the account that date onwards, any annual interest greater than Rs.2,500 would be taxed. Also, the rate of interest was reduced to 8% per annum. What amount should he remove from his account to ensure that he just avoids paying the tax? Assume that his account had zero balance before he deposited Rs. 40,000.
» Explain it
E
To just avoid paying tax, the interest for the third year should be exactly Rs. 2,500.

This interest is being calculated on the amount collected by the end of the second year i.e. just for one year.

For one year, simple and compound interest give the same value.

Hence, let the amount that gives exactly Rs. 2,500 as interest for 1 year at 8% be Rs. x.

 ∴ x = 2500 × 100 = Rs. 31,250 8

Actual amount collected at 10% compounded annually for 2 years = 40000 × (1.1)2 = Rs. 48,400

Hence, the amount that he should remove = 48000 − 31250 = Rs. 17,150

Hence, option E is correct.

4
Find the height of equilateral triangle if its area is 36√3 m2?
» Explain it
D
We know that,

 Area of an equilateral triangle of side ‘a’ = √3a2 4

 ⇒ 36√3 = √3a2 4

⇒ a2 = 144

⇒ a = 12 m

We know that,
 Height of an equilateral triangle = √3a 2

 ⇒ Height of the equilateral triangle = √3 × 12 = 6 √3 m 2

∴ Height of the equilateral triangle = 6√3 m

Hence, option D is correct.

5
By selling a car for Rs 405000 a man gets 10% loss, and then at what price (in Rs) should he sell to gain 20% ?
» Explain it
C
Given Selling Price = 405000

Let us assume Cost Price of car is X

We know, Selling Price = Cost Price – Cost Price x loss

 ∴ 405000 = X – (X × 10 %) = 9X 10

∴ X = 450000

Cost Price = Rs. 450000

So, Selling Price to get 20% profit = 450000 + (450000 × 20%)

 = 450000 + 450000 × 20 = 540000 100

Hence, option C 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