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 divisible by 12?

A) 73412 B) 63412
C) 83412 D) 93412
 
Answer & Explanation Answer: C) 83412

Explanation:
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Exam Prep: Bank Exams

0 736
Q:

What is the difference between the place value and face value of 3 in 273965

 

A) 2997 B) 2035
C) 0 D) 3962
 
Answer & Explanation Answer: A) 2997

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Exam Prep: Bank Exams

2 5909
Q:

How many three digit whole numbers are there between 75 and 405?

A) 305 B) 307
C) 304 D) 306
 
Answer & Explanation Answer: A) 305

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1 689
Q:

In the series 5442673314884743581,the number of 4s that are completely divisible by the number on their right but not divisible by the number on their left is

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

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Exam Prep: Bank Exams

1 817
Q:

If an = 1n + 1 + 1 then find the value of a1 + a3 + a5.

 

 

A) 17/12 B) 27/12
C) 37/12 D) 47/12
 
Answer & Explanation Answer: D) 47/12

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Exam Prep: Bank Exams

0 6771
Q:

Which of the following number is largest among all?

 

0.7,0.77,0.077, 0.070707

 

A) 0.070707 B) 0.077
C) 0.77 D) 0.7
 
Answer & Explanation Answer: C) 0.77

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Exam Prep: Bank Exams

0 4557
Q:

How many natural numbers between 15 and 85 are divisible by 7?

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

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1 722
Q:

Which of the following numbers is divisible by 9?

A) 12321 B) 12345
C) 45654 D) 45678
 
Answer & Explanation Answer: A) 12321

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1 659