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:

10 Consecutive numbers are given. If the average of the two numbers given in the middle is 13.5, then what is the sum of the first 6 numbers?

A) 65 B)  59
C) 69 D) 80
 
Answer & Explanation Answer: C) 69

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Exam Prep: Bank Exams

3 880
Q:

1.1 + 12.12 + 123.123 = ?

A) 134.343 B) 133.433
C) 132.123 D) 136.343
 
Answer & Explanation Answer: D) 136.343

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2 652
Q:

Which of the following is in ascending order?

A) 2/3, 3/4, 4/5, 1/2 B) 3/4, 4/5, 1/2, 2/3
C) 1/2, 2/3, 3/4, 4/5 D) 4/5, 1/2, 2/3, 3/4
 
Answer & Explanation Answer: C) 1/2, 2/3, 3/4, 4/5

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Exam Prep: Bank Exams

1 565
Q:

Find the least number to be added to 1739 so that it is exactly divisible by 11.

A) 11 B) 2
C) 1 D) 10
 
Answer & Explanation Answer: D) 10

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Exam Prep: Bank Exams

1 897
Q:

Which instrument is used for viewing the sun?

A) Stroboscope B) Telescope
C) Helioscope D) Sun meter
 
Answer & Explanation Answer: C) Helioscope

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Exam Prep: Bank Exams

1 588
Q:

Which of the following is the least of all?

A) 0.5 B) 1/0.5
C) 0.5 * 0.5 D) 0.5 * 2
 
Answer & Explanation Answer: C) 0.5 * 0.5

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Exam Prep: Bank Exams

1 606
Q:

If the sum of digits is 9 and the difference between the digit in the ten's place and unit's place is 1, then the two-digit number is?

A) 45 B) 63
C) 54 D) 72
 
Answer & Explanation Answer: C) 54

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1 622
Q:

Which of the following numbers is composite?

 

A) 47 B) 57
C) 37 D) 67
 
Answer & Explanation Answer: A) 47

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0 4826