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:

Which of the following numbers is not composite?

A) 209 B) 203
C) 161 D) 109
 
Answer & Explanation Answer: D) 109

Explanation:
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Exam Prep: Bank Exams

1 714
Q:

In the below series how many numbers are completely divisible by the number on right?

 

563248889266588343

 

A) 5 B) 4
C) 3 D) 6
 
Answer & Explanation Answer: A) 5

Explanation:
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Exam Prep: Bank Exams

1 4774
Q:

The ratio of two numbers is 5 : 9 and their difference is 44. What will be the smaller number among both the numbers?

 

A) 50 B) 65
C) 55 D) 70
 
Answer & Explanation Answer: C) 55

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0 724
Q:

Find the remainder, when (37+57+78+75+179) is divided by 17.

 

A) 1 B) 2
C) 5 D) 7
 
Answer & Explanation Answer: A) 1

Explanation:
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Exam Prep: Bank Exams

0 5421
Q:

Find the remainder when 413 divided by 3?

A) 1 B) 2
C) 0 D) 3
 
Answer & Explanation Answer: A) 1

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Exam Prep: Bank Exams

1 1020
Q:

What is the average of first 30 multiples of 9?

A) 142 B) 138.5
C) 139.5 D) 143.5
 
Answer & Explanation Answer: C) 139.5

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Exam Prep: Bank Exams

0 1109
Q:

Find the least number which when divided by 12, 15, 18 and 27 leaves remainders 10, 13, 16 and 25 respectively.

A) 540 B) 538
C) 542 D) 552
 
Answer & Explanation Answer: B) 538

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Exam Prep: Bank Exams

1 795
Q:

Among the following which is a rational number?

 

A) 23 B) 123
C) 83 D) 43
 
Answer & Explanation Answer: C) 83

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