GRE Questions

Q:

If a positive integer n, divided by 5 has a remainder 2, which of the following must be true?

A) n is odd B) n + 1 cannot be a prime number
C) (n + 2) divided by 7 has remainder 2 D) n + 3 is divisible by 5
 
Answer & Explanation Answer: D) n + 3 is divisible by 5

Explanation:

You can find the integers which when divided by 5 have a remainder 2 by adding 2 to all multiples of 5. So we have n = 7 , 12, 17, 22 etc.

From this series we can see that n does not have to be odd.

Also n + 1 can be a prime because, for example, 12 + 1 = 13

And (n + 2) / 7 has a remainder 2 in some cases but not all.

Remember the question asks us for what MUST be true, and we see that none of the statements are true in all cases. However, adding 3 to any of the values of n will always give a multiple of 5.

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Filed Under: Numbers
Exam Prep: GRE

4 11204
Q:

Fill in the blank with suitable preposition in the following sentence.

 

____ the two I prefer tea.

A) From B) In
C) Between D) Among
 
Answer & Explanation Answer: C) Between

Explanation:

Between the two I prefer tea is the correct sentence with suitable preposition.

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31 11201
Q:

_ tu _ rt _ s _ _ usrtu _

A) rsutrr B) rsurtr
C) rsurts D) rtusru
 
Answer & Explanation Answer: C) rsurts

Explanation:

The series rtus/rtus/rtus/rtus. Thus, the pattern 'rtus' is repeated.

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Filed Under: Number Series
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27 11150
Q:

When I went back to my hometown three years ago, I found that a lot of changes ______.

A) were taken place B) are taken place
C) had taken place D) have taken place
 
Answer & Explanation Answer: C) had taken place

Explanation:

Since he is telling about the thing that had happened in past.

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Filed Under: Analogy
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11 11133
Q:

In a certain code ARCHIVE is written as DSBGFWJ. How is SYSTEMS is written in that code ?

A) TZTSTUN B) TZTSTNF
C) TZTUTNF D) TZTNTFS
 
Answer & Explanation Answer: B) TZTSTNF

Explanation:

ARC -> CRA ->(+1) DSB
    H ->     H ->(-1) G
IVE  ->  EVI ->(+1) FWJ

 Similarly,

 SYS -> SYS ->(+1) TZT
    T ->     T ->(-1) S
EMS -> SME ->(+1) TNF

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Filed Under: Alphabet Test
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18 11132
Q:

What kind of crystalline solid is graphite?

A) Metallic B) Ionic
C) Molecular D) Covalent- network
 
Answer & Explanation Answer: D) Covalent- network

Explanation:

Graphite is a covalent-network type of crystalline solid.

 

There are two main categories of solids.

1. Crystalline solids and

2. Amorphous solids.

Crystalline solids are those in which the atoms, ions, or molecules that make up the solid exist in a regular, well-defined arrangement.

There are four types of crystalline solids :


Ionic solids :— Made up of positive and negative ions and held together by electrostatic attractions. They’re characterized by very high melting points and brittleness and are poor conductors in the solid state. An example of an ionic solid is table salt, NaCl.

Molecular solids :— Made up of atoms or molecules held together by London dispersion forces, dipole-dipole forces, or hydrogen bonds. Characterized by low melting points and flexibility and are poor conductors. An example of a molecular solid is sucrose.

Covalent-network (also called atomic) solids :— Made up of atoms connected by covalent bonds; the intermolecular forces are covalent bonds as well. Characterized as being very hard with very high melting points and being poor conductors. Examples of this type of solid are diamond and graphite, and the fullerenes. As you can see below, graphite has only 2-D hexagonal structure and therefore is not hard like diamond. The sheets of graphite are held together by only weak London forces!

Metallic solids :— Made up of metal atoms that are held together by metallic bonds. Characterized by high melting points, can range from soft and malleable to very hard, and are good conductors of electricity.

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Filed Under: Physics
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16 11100
Q:

What was the day on 2nd Jan 1901 ?

A) Tuesday B) Wednesday
C) Monday D) Thursday
 
Answer & Explanation Answer: B) Wednesday

Explanation:

2nd Jan 1901 means
(1900 years and 2 day)
Now, 1600 years have 0 odd day
300 years have 1 odd day
2 days has 2 odd day
Total no. of odd days = 0 + 1 + 2 = 3 days
Hence, the day on 2nd Jan 1901 was Wednesday.

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Filed Under: Calendar
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24 11077
Q:

Sullen is to moody as monotonous is to what

A) Repetitious B) Attractive
C) Drab D) Varied
 
Answer & Explanation Answer: A) Repetitious

Explanation:

Here the given words, sullen and moody are synonyms to each other which means that gloomy, resentful. Similarly, repetitious and monotonous are synonyms to each other which means dull, tedious.

 

Hence, Sullen : moody :: monotonous : repetitious.

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Filed Under: Analogy
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