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Q:

"I would like to study the impact of pay revision on job satisfaction of employees." - A tells B

Assumptions:

1. Job epairing and painting of office building require funds

2. A has necessary competence to undertake such study

A) Only 1 is true B) Only 2 is true
C) Either 1 or 2 is true D) Both 1 and 2 follow
 
Answer & Explanation Answer: D) Both 1 and 2 follow

Explanation:

Clearly A whishes to study the degree of effect of pay revision on job satisfaction of employees.This means that job satisfaction can be measured and A is capable of making such a study.So,both are not implicit

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Filed Under: Statement and Assumptions
Exam Prep: GRE

Q:

In Bombay,railway trains are indespenible for people in the subrubs to reach their places of work on time

Assumptions:

1. Railway trains are the only mode of transport available in the subrubs of Bombay

2. Only railway trains run punctually

A) Only 1 is true B) Only 2 is true
C) Either 1 or 2 is true D) Neither 1 nor 2 is true
 
Answer & Explanation Answer: B) Only 2 is true

Explanation:

The railway trains are indespinsible for people to reach the place on time does not mean that there are no other means of transport but shows that trains alone run on time.So, 1 is not true

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Filed Under: Statement and Assumptions
Exam Prep: GRE

Q:

If the city bus which runs between Ramnagar and Sant colony is extended to vasant vihar,it will be convenient . Appeal of residents of ramnagar to city bus company

Assumptions:

1. The convenience of city bus company is much more important than the needs of consumers

2. The city bus company is indifferent to the aspirations of the residents of Sant colony

A) Only 1 is true B) Only 2 is true
C) Neither 1 nor 2 is true D) Both 1 and 2 follow
 
Answer & Explanation Answer: C) Neither 1 nor 2 is true

Explanation:

Clearly the city bus company is intended  to provide bus services according to the needs as per local residents and not as per their own convenience.So 1 is not true.In the same way 2 is not true

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Filed Under: Statement and Assumptions
Exam Prep: GRE

Q:

There are eight boxes of chocolates, each box containing distinct number of chocolates from 1 to 8. In how many ways four of these boxes can be given to four persons (one boxes to each) such that the first person gets more chocolates than each of the three, the second person gets more chocolates than the third as well as the fourth persons and the third person gets more chocolates than fourth person? 

A) 70 B) 40
C) 72 D) 80
 
Answer & Explanation Answer: A) 70

Explanation:

All the boxes contain distinct number of chocolates.
For each combination of 4 out of 8 boxes, the box with the greatest number has to be given to the first person, the box with the second highest to the second person and so on.

 

The number of ways of giving 4 boxes to the 4 person is: 8C4= 70

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Q:

If each side of a square is increased by 25%, find the percentage change in its area?

A) 65.25 B) 56.25
C) 65 D) 56
 
Answer & Explanation Answer: B) 56.25

Explanation:

let each side of the square be a , then area = a2 

As given that The side is increased by 25%, then 

New side = 125a/100 = 5a/4 

 

New area = 5a42  

 

Increased area= 25a216-a2 

 

Increase %=9a2/16a2*100  % = 56.25%

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

Q:

A tea expert claims that he can easily find out whether milk or tea leaves were added first to water just by tasting the cup of tea. In order to check this claims 10 cups of tea are prepared, 5 in one way and 5 in other. Find the different possible ways of presenting these 10 cups to the expert.

A) 340 B) 210
C) 290 D) 252
 
Answer & Explanation Answer: D) 252

Explanation:

Since there are 5 cups of each kind,prepared with milk or tea leaves added first,are identical hence,total number of different people ways of presenting the cups to the expert is 10!/(5! x 5!)= 252

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Q:

A team of 8 students goes on an excursion, in two cars, of which one can seat 5 and the other only 4. In how many ways can they travel?

A) 126 B) 120
C) 146 D) 156
 
Answer & Explanation Answer: A) 126

Explanation:

There are 8 students and the maximum capacity of the cars together is 9.


We may divide the 8 students as follows


Case I: 5 students in the first car and 3 in the second
Case II: 4 students in the first car and 4 in the second


Hence, in Case I: 8 students are divided into groups of 5 and 3 in8C3 ways.


Similarly, in Case II: 8 students are divided into two groups of 4 and 4 in 8C4ways.


Therefore, the total number of ways in which 8 students can travel is:
8C3+8C4=56 + 70= 126

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Q:

In how many ways can 5 different toys be packed in 3 identical boxes such that no box is empty, if any of the boxes may hold all of the toys?

A) 15 B) 10
C) 25 D) 20
 
Answer & Explanation Answer: C) 25

Explanation:

The toys are different; The boxes are identical
If none of the boxes is to remain empty, then we can pack the toys in one of the following ways
a. 2,2,1
b. 3,1,1

Case a. Number of ways of achieving the first option 2−2–1

Two toys out of the 5 can be selected in5C2 5 ways. Another 2 out of the remaining 3 can be selected in3C2 ways and the last toy can be selected in 1C1  way.

However, as the boxes are identical, the two different ways of selecting which box holds the first two toys and which one holds the second set of two toys will look the same. Hence, we need to divide the result by 2.

Therefore, total number of ways of achieving the 2−2–1 option is:

5C2*3C22=10*32=15 ways.

Case b. Number of ways of achieving the second option 3−1–1

Three toys out of the 5 can be selected in 5C3  ways. As the boxes are identical, the remaining two toys can go into the two identical looking boxes in only one way.
Therefore, total number of ways of getting the 3−1–1 option is5C3=10 ways.

Total ways in which the 5 toys can be packed in 3 identical boxes
=number of ways of achieving Case a + number of ways of achieving Case b
=15 + 10 = 25 ways

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