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:

What is the value of 9991 x 10009?

A) 99999099 B) 99999819
C) 99999919 D) 99999019
 
Answer & Explanation Answer: C) 99999919

Explanation:
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0 927
Q:

The sum of a fraction and 7 times its reciprocal is 11/2. What is the fraction?

A) 7/2 B) 2/7
C) 3/4 D) 4/3
 
Answer & Explanation Answer: A) 7/2

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0 1160
Q:

Convert binary 1101111 to decimal.

A) 111 B) 101
C) 110 D) 100
 
Answer & Explanation Answer: A) 111

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0 1033
Q:

Of the 3 numbers whose average is 40, the first is 1/3 rd the sum of other 2. What is the first number?

A) 20 B) 50
C) 25 D) 30
 
Answer & Explanation Answer: D) 30

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0 946
Q:

What is the remainder when 2468 is divided by 37?

A) 26 B) 36
C) 18 D) 14
 
Answer & Explanation Answer: A) 26

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2 1477
Q:

The average of four consecutive odd numbers is 40. What is the largest number?

A) 42 B) 45
C) 43 D) 44
 
Answer & Explanation Answer: C) 43

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3 1998
Q:

The sum of a non-zero number and 9 times its reciprocal is 10. What is the number?

A) 10 B) 11
C) 9 D) 90
 
Answer & Explanation Answer: C) 9

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0 1205
Q:

What least number must be subtracted from 210, so that the sum is completely divisible by 11?

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

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0 1456