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 sum of the first 12 terms of an arithmetic progression if the first term is 3 and last term is 47?

A) 260 B) 300
C) 280 D) 220
 
Answer & Explanation Answer: B) 300

Explanation:
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0 917
Q:

A non-zero number is greater than 7 times its reciprocal by 9.3. What is the number?

A) 10 B) 20
C) 5 D) 14
 
Answer & Explanation Answer: A) 10

Explanation:
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0 1021
Q:

What is the largest 4 digit number which is exactly divisible by 81?

A) 9993 B) 9936
C) 9918 D) 9963
 
Answer & Explanation Answer: D) 9963

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0 917
Q:

The least number that must be substracted from 63520 to make the result a perfect square is

A) 30 B) 24
C) 14 D) 16
 
Answer & Explanation Answer: D) 16

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0 878
Q:

The least number to be added to 13851 to get a number which is divisible by 87 is

A) 18 B) 43
C) 54 D) 69
 
Answer & Explanation Answer: D) 69

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0 1045
Q:

What least value must be assigned to '*' so that the number 63576 * 2 is divisible by 8?

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

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1 1156
Q:

Which one of the following is the minimum value of the sum of two integers whose product is 24?

A) 25 B) 11
C) 8 D) 10
 
Answer & Explanation Answer: D) 10

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0 1004
Q:

The numbers x, y, z are respectively proportional to 2, 3, 5 and the sum of x, y and z is 80. If the number z is given by the equation z = ax­-8, then a is

A) 6 B) 3/2
C) 3 D) 5/2
 
Answer & Explanation Answer: A) 6

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