4
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:   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

Subject: Problems on Numbers
Exam Prep: GRE
Q:

The average of 25 consecutive odd integers is 55. The highest of these integers is

A) 79 B) 105
C) 155 D) 109
 
Answer & Explanation Answer: A) 79

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6 1844
Q:

The sum of all prime numbers between 58 and 68 is

A) 179 B) 178
C) 187 D) 183
 
Answer & Explanation Answer: C) 187

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3 1341
Q:

The largest 5 digit number exactly divisible by 89 is:

A) 99947 B) 99940
C) 99938 D) 99939
 
Answer & Explanation Answer: A) 99947

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1 1237
Q:

Find 2 consecutive natural numbers, sum of whose squares is 25.

A) 2, 3 B) 3, 4
C) 4, 5 D) 1, 4
 
Answer & Explanation Answer: B) 3, 4

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0 791
Q:

A number is greater than five times its reciprocal by 19/2. Find the number.

A) 11 B) 9
C) 10 D) 8
 
Answer & Explanation Answer: C) 10

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2 1226
Q:

Determine the largest 4 digit number which is a perfect square.

A) 9999 B) 9702
C) 9604 D) 9801
 
Answer & Explanation Answer: D) 9801

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1 771
Q:

The sum of the digits of a 2­digit number is 17. If we add 9 to the number, the new number obtained is a number formed by interchange of the digits. Find the number.

A) 89 B) 98
C) 78 D) 87
 
Answer & Explanation Answer: A) 89

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0 914
Q:

What is that least number that must be added to the product 684 × 686 to make it a perfect square?

A) 685 B) 1
C) 684 D) 686
 
Answer & Explanation Answer: B) 1

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1 1061