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 product of two numbers is 40. One of them is 2.50. What is the other number?

A) 14 B) 15
C) 16 D) 12
 
Answer & Explanation Answer: C) 16

Explanation:
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0 740
Q:

The smallest number that must be subtracted from 2800 so that the obtained number is a perfect square is

A) 9 B) 69
C) 96 D) 73
 
Answer & Explanation Answer: B) 69

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0 951
Q:

If the 8 digit number 136P5785 is divisible by 15, then find the least possible value of P?

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

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2 939
Q:

Which of the following is the largest number among 2, 33, 4, 53

A) √2 B) 33
C) √4 D) 53
 
Answer & Explanation Answer: C) √4

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0 820
Q:

Find the number which is NOT a prime number.

A) 89 B) 87
C) 79 D) 97
 
Answer & Explanation Answer: B) 87

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0 625
Q:

The product of two numbers is 0.324. One of the numbers is 1.2. What is the other number?

A) 2.7 B) 0.27
C) 0.027 D) 27
 
Answer & Explanation Answer: B) 0.27

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0 677
Q:

In which quadrant, will the point (4, -2) be located?

A) I B) II
C) III D) IV
 
Answer & Explanation Answer: D) IV

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0 704
Q:

What number, from the following should be deducted from 1184 to make it exactly divisible by 21?

A) 15 B) 12
C) 8 D) 7
 
Answer & Explanation Answer: C) 8

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