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:

Product of digits of a 2­digit number is 12. 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) 62 B) 34
C) 26 D) 43
 
Answer & Explanation Answer: C) 26

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0 895
Q:

The reciprocal of the sum of the reciprocals of 2/9 and 7/10 is

A) 14/83 B) 83/14
C) 90/83 D) 83/90
 
Answer & Explanation Answer: A) 14/83

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0 1081
Q:

The largest 5 digit number exactly divisible by 84 is:

A) 99960 B) 99955
C) 99952 D) 99956
 
Answer & Explanation Answer: A) 99960

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0 1038
Q:

What is the sum of the first 11 terms of an arithmetic progression if the 4th term is 11 and the 7th term is -4?

A) -75 B) 55
C) 11 D) 100
 
Answer & Explanation Answer: C) 11

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0 743
Q:

What is the quotient when 7251 is divided by 66?

A) 110 B) 109
C) 111 D) 112
 
Answer & Explanation Answer: B) 109

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0 867
Q:

N is the largest two digit number, which when divided by 3, 4 and 6 leaves the remainder 1, 2 and 4 respectively. What is the remainder when N is divided by 5?

A) 4 B) 2
C) 0 D) 1
 
Answer & Explanation Answer: A) 4

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2 2218
Q:

What is the unit digit of (217)413 × (819)547 × (414)624 × (342)812?

A) 2 B) 4
C) 6 D) 8
 
Answer & Explanation Answer: D) 8

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8 2740
Q:

How many 100 digit positive number are there?

A) 9 × 1099 B) 9 × 10100
C) 10100 D) 11 × 1098
 
Answer & Explanation Answer: A) 9 × 1099

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2 1980