GRE Questions

Q:

There are three rooms in a Hotel: one single, one double and one for four persons. How many ways are there to house seven persons in these rooms ?

A) 105 B) 7! x 6!
C) 7!/5! D) 420
 
Answer & Explanation Answer: A) 105

Explanation:

Choose 1 person for the single room & from the remaining choose 2 for the double room & from the remaining choose 4 people for the four person room, 

 Then, 7C1 x 6C2 x 4C

= 7 x 15 x 1 = 105

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Filed Under: Permutations and Combinations
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Q:

Two boys starting from the same place walk at a rate of 5kmph and 5.5kmph respectively. What time will they take to be 8.5km apart, if they walk in the same direction?

A) 15 hours B) 16 hours
C) 17 hours D) 18 hours
 
Answer & Explanation Answer: C) 17 hours

Explanation:

In this type of questions we need to get the relative speed between them,
The relative speed of the boys = 5.5kmph – 5kmph
= 0.5 kmph

Distance between them is 8.5 km
Time = Distance/Speed
Time= 8.5km / 0.5 kmph = 17 hrs

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Filed Under: Time and Distance
Exam Prep: GRE

15 15390
Q:

Which of the following is an Autotroph?

A) Fish B) Algae
C) Butterfly D) Mushroom
 
Answer & Explanation Answer: B) Algae

Explanation:

Here from the above options, Algae is an Autotroph.

Autotrophs : 

An Autotroph is also called as Producer, is an organism that produces complex organic compounds from simple substances present in its surroundings, generally using energy from light or inorganic chemical reactions.

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Filed Under: Biology
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78 15332
Q:

Which sentence is capitalized correctly?

A) on a cloudless night, I studied pisces, a constellation in the north sky. B) On a cloudless night, I studied Pisces, a constellation in the North sky.
C) on a Cloudless Night, i studied Pisces, a constellation in the North Sky. D) On a cloudless night, I studied pisces, a constellation in the north sky.
 
Answer & Explanation Answer: B) On a cloudless night, I studied Pisces, a constellation in the North sky.

Explanation:
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14 15175
Q:

The price of a cycle is reduced by 25 per cent. The new price is reduced by a further 20 per cent. The two reductions together are equal to a single reduction of

A) 45% B) 40%
C) 35% D) 32.5%
 
Answer & Explanation Answer: B) 40%

Explanation:

Let the original price of the cycle be 100. After the first reduction the price will be 75.

This new price is then reduced by 20% = 0.8 x 75 = 60

60 represents a reduction of 40 percent on the original.

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Filed Under: Percentage
Exam Prep: GRE

18 15035
Q:

What will be the compound interest on a sum of Rs.25,000 after 3 years at the rate of 12 p.c.p.a?

A) Rs.10123.20 B) Rs.12100
C) Rs.12552 D) Rs.12665
 
Answer & Explanation Answer: A) Rs.10123.20

Explanation:

Amount

= Rs.(25000x(1+12/100)³

= Rs.(25000x28/25x28/25x28/25)

= Rs. 35123.20.

 

C.I = Rs(35123.20 -25000)

= Rs.10123.20

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Filed Under: Compound Interest
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17 15032
Q:

Which form of verb is used with had?

 

A) root B) past
C) past participle D) present participle
 
Answer & Explanation Answer: C) past participle

Explanation:
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Filed Under: English
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0 15026
Q:

Mirage is an example of

A) Reflection of light & Refraction of light B) Dispersion of light
C) Total Internal Reflection D) Refraction of light & Total Internal Reflection of light
 
Answer & Explanation Answer: D) Refraction of light & Total Internal Reflection of light

Explanation:

A Mirage is a naturally occurring optical phenomenon in which light rays bend to produce a displaced image of distant objects or the sky.




      • It is caused due to Total internal Reflection.

 

      • It is an optical illusion observed in deserts or hot summer days due to which a person sees a pond of water some distance ahead of him in which the surrounding objects appear inverted.

Mirage_is_an_example_of1556276063.jpg image


How Mirage Forms::

 

1. The temperature of other layers of atmosphere goes on decreasing as we go up.
2. Therefore density and refractive index of air changes as one goes up.
3. Thus a ray of light,gets refracted more and more away from the normal.
4. At a particular angle when a ray of light exceeds critical angle, total internal reflection takes place and ray of light gets reflected in the same medium.
5. when the reflected ray reaches our eye, it appears as coming from tree or sky .
6. Hence the inverted image of tree creates an impression from a pond of water.

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Filed Under: Physics
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