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:

If the number x3331 is divisible by 11, what is the face value of x?

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

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Exam Prep: Bank Exams

2 779
Q:

Find the number of prime factor of 20790.

A) 7 B) 9
C) 11 D) 13
 
Answer & Explanation Answer: A) 7

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0 827
Q:

'P' is the smallest positive integer such that every positive integer N greater than 'P' can be written as a sum of two composite numbers. Then 'P' is

A) 10 B) 3
C) 11 D) 6
 
Answer & Explanation Answer: C) 11

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0 653
Q:

Assuming that the numbers in each of the following figures follow a similar pattern, select the option that can replace the question mark in figure B.

 

 

A) 142   B) 127
C) 128 D) 136
 
Answer & Explanation Answer: A) 142  

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Exam Prep: Bank Exams

0 533
Q:

Find the least number which when divided by 20, 25, 35 and 40 leaves remainder 14, 19, 29 and 34 respectively?

A) 1394 B) 1384
C) 1364 D) 1374
 
Answer & Explanation Answer: A) 1394

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Exam Prep: Bank Exams

0 942
Q:

The sum of digits of a two-digit number is 9. When the digits are reversed, the number decreases by 45. Find the changed number.

A) 45 B) 72
C) 63 D) 27
 
Answer & Explanation Answer: D) 27

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Exam Prep: Bank Exams

0 783
Q:

The average of first 20 multiples of 12 is

A) 124 B) 120
C) 126 D) 130
 
Answer & Explanation Answer: C) 126

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0 1077
Q:

If R019 is divisible by 11, find the value of the smallest natural number R?

A) 5 B) 6
C) 7 D) 8
 
Answer & Explanation Answer: D) 8

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0 852