Arun Sharma Solutions for Chapter: Quantitative Reasoning, Exercise 1: Exercise on Quantitative Reasoning

Five women decided to go shopping to M.G. Road, Bangalore. They arrived at the designated meeting place in the following order: $1.$ Archana, $2.$ Chellama, $3.$ Dhenuka, $4.$ Helen and $5.$ Sahnaz.

Each woman spent at least $₹1000.$ Below are some additional facts about how much they spent during their shopping spree.

(i) The woman who spent $₹2234$ arrive before the lady who spent $₹1193.$

(ii) One woman spent $₹1340$ and she was not Dhenuka.

(iii) One woman spent $₹1378$ more than Chellamma.

(iv) One woman spent $₹2517$ and she was not Archana.

(v) Helen spent more than Dhenuka.

(vi) Shahnaz spent the largest amount and Chellama the smallest.

The woman who spent $₹1193$ is

I have a total of $1000$. Item A costs $110$, item B costs, $90$, item C costs $70$, item D costs $40$, and item E costs $55$. For every item D that I purchase, I must also buy only two items of B. For every item A, I must buy one item of C. For every item, E, I must also buy two of item D and one of item B. For every item purchased I earn $1000$points and for every rupee not spent I earn a penalty of 1500 points. My objective is to maximise the points earned. What is the number of items that I must purchase to maxi- mise my points?

. Four friends Ashok, Bashir, Chirag and Deepak are out shopping. Ashok has less money than three times the amount that Bashir has. Chirag has more money than Bashir. Deepak has an amount equal to the difference of amounts with Bashir and Chirag. Ashok has three times the money with Deepak. Each of them have to buy at least one shirt, or one shawl, or one sweater, or one jacket that are priced 200, 3400, 600, and 1000 a piece, respectively. Chirag borrows 300 from Ashok and buys a jacket. Bashir buys a sweater after borrowing 100 from Ashok and is left with no money. Ashok buys three shirts. What is the costliest item that Deepak could buy with his own money?

A professor thinks of,  $2$ consecutive numbers between, $1$ and $10$(Both inclusive). Student "A" knows $1$ number and “B” knows another.

A: I do not know your number
B: Neither do I know your number
A: Now I know your number
There are $4$ solutions possible, what are they?

Armaan has two sons both born in the 1“' week of October in different years. The Date Of Birth (DOB) of his sons are two consecutive numbers. Now he tells the DOB of his first son to his friend Sumit and DOB of his second son to his friend Sunil. Sumit to Sunil: I don't know your number. Sunil to Sumit: Neither do I know your number. Sumit to Sunil: Now I know the DOB of both the sons. Find the maximum value of the sum of date of births of Armaan’s two sons?

$100$ criminals are sitting around a table in a circular arrangement with chair numbers marked from $1$ through $100$. The criminal sitting in Chair#$1$ has a gun with $100$bullets. He shoots dead the criminal sitting next to him in Chair#$2$ and passes on the pistol to the criminal in Chair#$3$. This criminal shoots the criminal in Chair# $4$ and passes on the pistol to the criminal in Chair# $5$ and so on. This activity is carried out until one criminal survives.

Find the chair number of this criminal.

Habibul is an orange trader who wants to transport $3000$ oranges to the market located $1000$ km away from his farm. For transportation, he owned a notorious horse. This horse can carry a maximum of $1000$oranges at a time and eats one orange for every $1$ kilometer it travels. If Habibul sells one orange at $1$Re. in the market, find the maximum amount he can earn?

A courier company XYZ has a fleet of$50$ cars each with a full fuel tank. The company wants to deliver a courier for the maximum possible distance. If they can transfer the courier from car to car and can also transfer fuel from car to car and each car can go$100$kms with tank full fuel, then what is the maximum distance (in Km) upto which the courier can be de- livered (rounded off to the nearest integer)?