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:

Find the range of the data : 11,13, 9, 17, 13, 19, 10, 11

A) 9 B) 10
C) 11 D) 13
 
Answer & Explanation Answer: B) 10

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Exam Prep: Bank Exams

0 964
Q:

A prime number

A) Is not a positive integer B) Has no divisor at all
C) Has 1 and only itself as divisors D) Has more than 2 divisors
 
Answer & Explanation Answer: C) Has 1 and only itself as divisors

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Exam Prep: Bank Exams

0 610
Q:

The sum of three consecutive even numbers is 42. Find the middle number.

A) 12 B) 18
C) 16 D) 14
 
Answer & Explanation Answer: D) 14

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Exam Prep: Bank Exams

0 798
Q:

How many times does the number 5 occur in the range of numbers from 1 to 100?

A) 21 B) 22
C) 20 D) 19
 
Answer & Explanation Answer: C) 20

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Exam Prep: Bank Exams

1 679
Q:

The sum of two digits of a number is 10. If the digits are interchanged, then its value increases by 18. Find the number.

 

A) 46 B) 64
C) 19 D) 28
 
Answer & Explanation Answer: A) 46

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Exam Prep: Bank Exams

1 715
Q:

Find the mean of the first 6 prime numbers?

A) 14/3 B) 3
C) 41/6 D) 13/2
 
Answer & Explanation Answer: C) 41/6

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Exam Prep: Bank Exams

0 728
Q:

What smallest number should be added to the sum of squares of 15 and 14, so that the resulting number is a perfect square?

A) 17 B) 20
C) 11 D) 9
 
Answer & Explanation Answer: B) 20

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Exam Prep: Bank Exams

0 632
Q:

Which of the following numbers is a perfect square?

A) 441 B) 192
C) 333 D) 327
 
Answer & Explanation Answer: A) 441

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0 923