3
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:

If (8, 2) is a solution of x + 4y - 2k = 0 then find the value of k2.

 

A) 36 B) 49
C) 64 D) 81
 
Answer & Explanation Answer: C) 64

Explanation:
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0 16702
Q:

The sum of the square of three consecutive odd numbers is 2195. Find the numbers.

 

A) 21, 23, 25   B) 23, 25, 27  
C) 25, 27, 29   D) 27, 29, 31
 
Answer & Explanation Answer: C) 25, 27, 29  

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1 1756
Q:

The sum of a fraction and its reciprocal is 113/56. Find the fraction.

 

A) 7/8   B) 5/8  
C) 8/9   D) 3/7
 
Answer & Explanation Answer: A) 7/8  

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0 3979
Q:

If the number x4562 is divisible by 9, what is the face value of x?

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

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3 341
Q:

The smallest number by which 1875 must be divided to obtain a perfect square is

A) 3 B) 2
C) 7 D) 5
 
Answer & Explanation Answer: A) 3

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0 265
Q:

The sum of numbers from 1 to 100 (inclusive of both) is

A) 5050 B) 5500
C) 5005 D) 5505
 
Answer & Explanation Answer: A) 5050

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0 296
Q:

The least number that must be subtracted from 202 to make it a perfect square is

A) 10 B) 8
C) 14 D) 6
 
Answer & Explanation Answer: D) 6

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0 321
Q:

Find the greatest number which on dividing 391 and 318 leaves remainders 7 and 6 respectively.

A) 20 B) 23
C) 24 D) 32
 
Answer & Explanation Answer: C) 24

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1 299