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Q:

A picture is copied onto a sheet of paper 8.5 inches by 10 inches. A 1.5 inch margin is left all around. What area in square inches does the picture cover?

A) 76 B) 35
C) 49 D) 38.5
 
Answer & Explanation Answer: D) 38.5

Explanation:

Draw out the diagram and you will see that the width of the picture becomes 8.5 - 3 = 5.5

The length becomes 10 - 3 = 7. The area is now 5.5 x 7 = 38.5

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Filed Under: Image Analysis
Exam Prep: GRE

Q:

Should cutting of trees be banned altogether?

Arguments:

I. Yes. It is very much necessary to do so to restore ecological balance.

II. No. A total ban would harm timber based industries.

A) Only argument I is strong B) Only argument II is strong
C) Neither I nor II is strong D) Both I and II are strong
 
Answer & Explanation Answer: D) Both I and II are strong

Explanation:
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Filed Under: Statement and Arguments
Exam Prep: GRE

Q:

 What is the greatest of 3 consecutive integers whose sum is 24 ?

A) 6 B) 7
C) 8 D) 9
 
Answer & Explanation Answer: D) 9

Explanation:

The sum of three consecutive integers can be written as n + (n + 1) + (n + 2) = 3n + 3

If the sum is 24, we need to solve the equation 3n + 3 = 24;

=> 3n = 21;

=> n = 7

The greatest of the three numbers is therefore 7 + 2 = 9

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Filed Under: Numbers
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:

A solid cube of side 6 is first painted pink and then cut into smaller cubes of side 2. How many of the smaller cubes have paint on exactly 2 sides?

A) 30 B) 24
C) 12 D) 8
 
Answer & Explanation Answer: C) 12

Explanation:

When the larger cube is cut into smaller cubes, the corner cubes will have paint on three sides. The cubes in the middle of the faces will have paint on only one side, but the cubes cut from the edges will have paint on two sides. In this case, there will be only one cube one each edge (excluding the corners), and since there are 12 edges, there will be 12 cubes with paint on two sides.

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Filed Under: Numbers
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:

Branch of biology in which we study about relationship between living and their environment

A) Physiology B) Genetics
C) Ecology D) Geology
 
Answer & Explanation Answer: C) Ecology

Explanation:
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Filed Under: Biology

Q:

If the product of 6 integers is negative, at most how many of the integers can be negative?

A) 2 B) 3
C) 4 D) 5
 
Answer & Explanation Answer: D) 5

Explanation:

Multiplying two negatives (or any even multiple) results in a positive. But multiplying three negatives (or any odd multiple) gives a negative. If the result of multiplying 6 negatives is odd, the largest number of negative integers will be the largest odd number (i.e.5)

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Filed Under: Problems on Numbers
Exam Prep: GRE