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Q:

As per Census 2001, among the following hill states of India, which one has the highest literacy rate

A) Arunachal Pradesh B) Himachal Pradesh
C) Sikkim D) Uttarakhand
 
Answer & Explanation Answer: B) Himachal Pradesh

Explanation:
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Filed Under: Indian Economy

Q:

Which one among the following states has the highest density of population

A) Bihar B) Kerala
C) Punjab D) Uttar Pradesh
 
Answer & Explanation Answer: A) Bihar

Explanation:
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Filed Under: Indian Economy

Q:

Which State of India has the largest area

A) Uttar Pradesh B) Madhya Pradesh
C) Maharashtra D) Rajasthan
 
Answer & Explanation Answer: D) Rajasthan

Explanation:
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Filed Under: Indian Economy

Q:

Paint needs to be thinned to a ratio of 2 parts paint to 1.5 parts water. The painter has by mistake added water so that he has 6 litres of paint which is half water and half paint. What must he add to make the proportions of the mixture correct?

A) 1 litre paint B) 1 litre water
C) ½ litre water and one litre paint D) ½ litre paint and one litre water
 
Answer & Explanation Answer: A) 1 litre paint

Explanation:

At the moment the paint is 3 liters of paint and 3 liters of water. We need to add to this to make the new ratio 2 liters paint to 1.5 liters water. As this is equivalent to 4 : 3 we can see that we have the right amount of water, and just need 1 liter of paint to make it correct.

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Filed Under: Ratios and Proportions
Exam Prep: GRE

Q:

A triangle has a perimeter 13. The two shorter sides have integer lengths equal to x and x + 1. Which of the following could be the length of the other side?

A) 4 B) 6
C) 8 D) None of the above
 
Answer & Explanation Answer: B) 6

Explanation:

The measure of the third side of a triangle must lie between the sum and the difference of the other two sides. Using this fact along with the answer choices, we can eliminate the wrong answers. 

 

    • Option A  cannot be correct because 4 would not be the longest side.(sides 4, 5, and 4)   

 

    • Option B could be correct because the other two sides would be 3 and 4.  

 

    • Option C cannot be correct because this third side would be greater than the sum of the other two sides.

 

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Filed Under: Area
Exam Prep: GRE

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

Q:

One side of a triangle has length 8 and a second side has length 5. Which of the following could be the area of the triangle?

A) 24 B) 20
C) 26 D) 34
 
Answer & Explanation Answer: B) 20

Explanation:

The maximum area of the triangle will come when the given sides are placed at right angles. If we take 8 as the base and 5 as the height the area = ½ x 8 x 5=20

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Filed Under: Volume and Surface Area
Exam Prep: GRE

Q:

An atom has 7 electrons in its M - shell and contains 18 neutrons in its nucleus. What is its mass number

A) 25 B) 27
C) 35 D) 43
 
Answer & Explanation Answer: C) 35

Explanation:

According to Bohr model, Each shell can occupy 2n2 electrons in their orbits where n=1,2,3.. for K,L,M,..

 

The atom has 2 electrons in k, 8 electrons in L and 7 electrons in M = 2 + 8 + 7 = 17

 

And given that its nucleus has 18 neutrons

 

=> its mass number = number of (electrons + neutrons ) = 17 + 18 = 35

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Filed Under: Chemistry