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 sum of all prime numbers between 18 and 32 is:

A) 99 B) 100
C) 102 D) 97
 
Answer & Explanation Answer: C) 102

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0 968
Q:

Product of digits of a 2-digit number is 24. 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) 64
C) 46 D) 38
 
Answer & Explanation Answer: D) 38

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0 764
Q:

Find the number that is as much greater than 49 as is less than 95.

A) 23 B) 55
C) 72 D) 76
 
Answer & Explanation Answer: C) 72

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0 1242
Q:

Three consecutive natural numbers are such that the square of the greatest is greater than the product of the other two by 19. The smallest of these numbers is

A) 5 B) 6
C) 7 D) 4
 
Answer & Explanation Answer: A) 5

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0 765
Q:

A number is greater than thrice its reciprocal by 26/3. What is the number?

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

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0 1172
Q:

The sum of the digits of a 2-digit number is 8. If we add 36 to the number, the new number obtained is a number formed by interchange of the digits. What is the number?

A) 26 B) 62
C) 34 D) 43
 
Answer & Explanation Answer: A) 26

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0 913
Q:

The first and last terms of an arithmetic progression are 29 and -49. If the sum of the series is -140, then it has how many terms?

A) 13 B) 14
C) 12 D) 11
 
Answer & Explanation Answer: B) 14

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0 929
Q:

The sum of all prime numbers between 58 and 62 is

A) 116 B) 114
C) 120 D) 111
 
Answer & Explanation Answer: C) 120

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