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 average of first 19 odd numbers?

A) 9.5 B) 15.5
C) 19 D) 38
 
Answer & Explanation Answer: C) 19

Explanation:
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0 861
Q:

What is the remainder when 6729 is divided by 35?

A) 11 B) 7
C) 19 D) 13
 
Answer & Explanation Answer: C) 19

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0 1142
Q:

The least number that must be added to 8961 to make it exactly divisible by 84 is

A) 27 B) 57
C) 141 D) 107
 
Answer & Explanation Answer: A) 27

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0 1249
Q:

Find the least number which must be subtracted from 18265 to make it a perfect square

A) 30 B) 38
C) 40 D) 45
 
Answer & Explanation Answer: C) 40

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0 984
Q:

The sum of a fraction and 3 times its reciprocal is 19/4. What is the fraction?

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

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0 1343
Q:

Convert decimal 99 to binary.

A) 1100101 B) 1101001
C) 11100011 D) 1100011
 
Answer & Explanation Answer: D) 1100011

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0 749
Q:

Number of composite numbers lying between 67 and 101 is

A) 27 B) 24
C) 26 D) 23
 
Answer & Explanation Answer: A) 27

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0 1365
Q:

What is the sum of the first 9 terms of an arithmetic progression if the first term is 7 and last term is 55?

A) 219 B) 137
C) 231 D) 279
 
Answer & Explanation Answer: D) 279

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