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:

Two fractions are such that their product is ­9/10 and sum is ­13/40. What are the two fractions.

A) 2/5, ­9/4 B) 1/5, ­-9/2
C) 4/5, ­-9/8 D) -2/5, ­9/4
 
Answer & Explanation Answer: C) 4/5, ­-9/8

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0 765
Q:

The sum of the digits of a 2-digit number is 11. If we add 45 to the number, the new number obtained is a number formed by interchange of the digits. What is the number?

A) 83 B) 38
C) 64 D) 46
 
Answer & Explanation Answer: B) 38

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1 1505
Q:

What is the value of 5/9 + 7/8?

A) 103/72 B) 97/42
C) 12/17 D) 15/13
 
Answer & Explanation Answer: A) 103/72

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0 1012
Q:

Two fractions are such that their product is ­4 and sum is ­32/15. Find the two fractions.

A) 6/15, ­-10/3 B) 6/5, ­-10/3
C) 7/2, ­-8/7 D) -10/7, 14/5
 
Answer & Explanation Answer: A) 6/15, ­-10/3

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0 1000
Q:

Of the 3 numbers whose average is 70, the first is 1/9 times the sum of other 2. The first number is

A) 32 B) 21
C) 14 D) 42
 
Answer & Explanation Answer: B) 21

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0 1065
Q:

The sum of thrice a number and twice its reciprocal is 97/4. What is the number?

A) 9 B) 10
C) 8 D) 7
 
Answer & Explanation Answer: C) 8

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0 913
Q:

Of the 3 numbers whose average is 72, the first is 2/7 times the sum of other 2. The first number is

A) 48 B) 72
C) 32 D) 96
 
Answer & Explanation Answer: A) 48

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0 850
Q:

Find the value of p, if 2x -­ 4, 4x + p and 6x -­ 12 are in arithmetic progression.

A) -9 B) -10
C) -11 D) -8
 
Answer & Explanation Answer: D) -8

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