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:

The smallest of the fractions among 5/8, 3/4, 13/16, 7/12 is ___.

A) 5/8 B) 3/4
C) 13/16 D) 7/12
 
Answer & Explanation Answer: D) 7/12

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0 313
Q:

____ are twin prime numbers.

A) (4,9) B) (2,3)
C) (4,6) D) (3,5)
 
Answer & Explanation Answer: D) (3,5)

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0 288
Q:

Find the remainder in the expression 557 x 653 x 6729?

 

A) 0 B) 3
C) 5 D) 6
 
Answer & Explanation Answer: D) 6

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1 3125
Q:

Which of the following numbers is divisible by 12?

A) 53412 B) 43412
C) 33412 D) 63412
 
Answer & Explanation Answer: A) 53412

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1 399
Q:

182/130 when written in the simplest form is:

A) 28/20 B) 91/65
C) 14/10 D) 7/5
 
Answer & Explanation Answer: D) 7/5

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1 258
Q:

Which of the following numbers is composite?

A) 241 B) 261
C) 271 D) 251
 
Answer & Explanation Answer: D) 251

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0 346
Q:

Which of the following is in ascending order?

A) 0.65, 0.76, 0.67, 0.86 B) 0.65, 0.86, 0.67, 0.76
C) 0.65, 0.67, 0.76, 0.86 D) 0.67, 0.65, 0.76, 0.86
 
Answer & Explanation Answer: C) 0.65, 0.67, 0.76, 0.86

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0 381
Q:

The sum of two positive integers is 34 and their difference is 8. Find their product.

A) 308 B) 273
C) 209 D) 345
 
Answer & Explanation Answer: B) 273

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0 413