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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:

"If it does not rain throughout this month ,most farmers would be in trouble this year"

Assumptions:

1. Timely rain is essential for farming

2. Most farmers are generally dependent on rains

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:

It is mentioned that farmers will be in troble without rain .This means that timely rain is essential.Also,it shows that farmers are dependent on rain.So,both 1 and 2 are true

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Filed Under: Statement and Assumptions
Exam Prep: GRE

Q:

The 'M' Cooperative housing society has put up a notice at its gate that sales persons are not allowed inside the society

Assumptions:

1. All the sales persons stay away from 'M' Cooperation society

2. The security guard posted at the gate may be able to stop the sales persons entering the society

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:

Since both the assumptions follow from the given statement,So both 1 and 2 are implicit

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Filed Under: Statement and Assumptions
Exam Prep: GRE

Q:

The diagonals of two squares are in the ratio of 2:5. Find the ratio of their areas.

A) 2:25	B) 3:25
C) 4:25	D) 6:25

Answer & Explanation Answer: C) 4:25

Explanation:

let the diagonals of the squares be 2x and 5x respectively

ratio of their areas = $\frac{1}{2} * {(2 x)}^{2} : \frac{1}{2} * {(5 x)}^{2}$ = 4:25

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

Q:

A sector of 120, cut out from a circle, has an area of $\frac{66}{7} c m^{2}$ . Find the radius of the circle ?

A) 1	B) 2
C) 3	D) 4

Answer & Explanation Answer: C) 3

Explanation:

Let the radius of the circle be r cm. Then,

$\frac{120}{360} {πr}^{2} = \frac{66}{7}$

$r^{2} = \frac{66}{7} * \frac{7}{22} * 3$

r=3.

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Filed Under: Area
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

Q:

Two concentric circles form a ring. The inner and outer circumferences of ring are $\frac{518}{7}$ m and $\frac{352}{7}$ m respectively. Find the width of the ring.

A) 4	B) 5
C) 6	D) 7

Answer & Explanation Answer: A) 4

Explanation:

Let the inner and outer radii be r and R metres.

Then $2 πR = \frac{352}{7} = > R = \frac{352}{7} * \frac{7}{22} * \frac{1}{2} = 8 m$

$2 πR = \frac{528}{7} = > R = \frac{528}{7} * \frac{7}{22} * \frac{1}{2} = 12 m$

=> Width of the ring = (R - r) = (12 - 8) m = 4 m.

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Filed Under: Area
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

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 in $5 C_{2}$ 5 ways. Another 2 out of the remaining 3 can be selected in $3 C_{2}$ ways and the last toy can be selected in $1 C_{1}$ 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:

$\frac{5 C_{2} * 3 C_{2}}{2} = \frac{10 * 3}{2} = 15$ ways.

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

Three toys out of the 5 can be selected in $5 C_{3}$ 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 is $5 C_{3}$ =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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Filed Under: Permutations and Combinations

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