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Q:

Is the Government justified in spending so much on defence?

Arguments:

I. Yes. Safety of the country is of prime importance.

II. No. During peace, this money could be used for the development of the country.

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: A) Only argument I is strong

Explanation:

Clearly, defence is necessary for the safety of the country, which is of prime importance. So, argument I holds. Also, a country can concentrate on internal progress and development only when it is safe from external aggressions. So, argument II does not hold.

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Filed Under: Statement and Arguments
Exam Prep: GRE

Q:

 (3x + 2) (2x - 5) = ax² + kx + n .

What is the value of a - n + k ?

A) 5 B) 8
C) 9 D) 10
 
Answer & Explanation Answer: A) 5

Explanation:

This is a quadratic equation. To find n we multiply the last terms in each bracket together (2 times -5) = -10

To find ‘a’ we multiply the first terms in each bracket together (3x times 2x) = 6x2, So a = 6.

Thus a - n = 16

To find k we multiply the first term in the first bracket by the second term in the second bracket and add the result to the product of the second term in the first bracket and the first term in the second. (-15x + 4x) = -11x. So k = -11

16 - 11 = 5

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Filed Under: Problems on Numbers
Exam Prep: GRE

Q:

The first term in a sequence is 1 and the second term is 5. From the third term on each term is the average (arithmetic mean) of all preceding terms. What is the 25th term in the sequence?

A) 2.5 B) 3
C) 5 D) 2.5
 
Answer & Explanation Answer: B) 3

Explanation:

Start constructing the sequence until you see the pattern

1...5...(average of 1 and 5 = 3)...(average of 1, 5, and 3 = 3)...(average of 1,5,3 and 3 = 3)

now you can see that all subsequent terms will be 3

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Filed Under: Sequential Output Tracing
Exam Prep: GRE

Q:

The total weight of a tin and the cookies it contains is 2 pounds. After ¾ of the cookies are eaten, the tin and the remaining cookies weigh 0.8 pounds. What is the weight of the empty tin in pounds?

A) 0.2 B) 0.3
C) 0.4 D) 0.5
 
Answer & Explanation Answer: C) 0.4

Explanation:

Let the weight of the empty tin = w

(2 - w) = weight of the cookies; and one quarter of the cookies weigh (2 - w)/4

One quarter of the cookies + tin = 0.8 = w + (2 - w)/4

Multiply through by 4; 3.2 = 4w + 2 - w

1.2 = 3w; w = 0.4

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Filed Under: Problems on Numbers
Exam Prep: GRE

Q:

What is the simplified result of following the steps below in order?

       1.Add 5y to 2x

       2.Multiply the sum by 3

       3.Substract x+y from the product

A) 5x + 14y B) 5x + 16y
C) 5x + 5y D) None
 
Answer & Explanation Answer: A) 5x + 14y

Explanation:

Step 1 :2x + 5y

Step 2 :3(2x + 5y) = 6x + 15y

Step 3 :(6x + 15y) - (x +y) = 6x + 15y - x - y (watch that last minus sign!)

This gives 5x + 14y

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Filed Under: Numbers
Exam Prep: GRE

Q:

What is the average of four tenths and five thousandths

A) 25002 B) 2502
C) 0.2025 D) none
 
Answer & Explanation Answer: C) 0.2025

Explanation:

Four tenths = 0.4

Five thousandths = 0.005

The average is (0.4 + 0.005)/2 = 0.2025

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Filed Under: Average
Exam Prep: GRE

Q:

If x / y is an integer, which of the following statements need NOT always be true?

A) both x and y are integers B) only x is a integer
C) both are negative D) none
 
Answer & Explanation Answer: A) both x and y are integers

Explanation:

In case (A), x and y could, for example, both be equal fractions and x/y would be an integer.

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Filed Under: Numbers
Exam Prep: GRE

Q:

Courier charges for packages to a certain destination are 65 cents for the first 250 grams and 10 cents for each additional 100 grams or part thereof. What could be the weight in grams of a package for which the charge is $1.55 ?

A) 1155 B) 1145
C) 1040 D) None
 
Answer & Explanation Answer: B) 1145

Explanation:

The weight will be 250g plus (1.55 - 0.65)/0.10 units of 100g

250 + 900 = 1150

This is the maximum weight that can be sent at that price. But, weights exceeding

250 + 800 will also get charged this amount (that is what the ‘part thereof’ implies).

Hence a package weighing 1145 will be charged $1145

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Filed Under: Numbers
Exam Prep: GRE