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:

What is the least number that should be added to the product 11 x 12 x 13 x 14 to make it a perfect square?

 

A) 1 B) 311
C) 5 D) 0
 
Answer & Explanation Answer: A) 1

Explanation:
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Exam Prep: Bank Exams

0 911
Q:

Read the following question and decide which of the given statements is/are sufficient.

 

If X is a natural number, is X+6 odd?

 

Statements :

 

1. X - 15 is a whole number.

2. X - 6 is an odd number.

 

A) 2 alone is sufficient while 1 alone is not sufficient to answer the question B) Both 1 and 2 together are sufficient to answer the question
C) Either 1 or 2 is sufficient to answer the question D) 1 alone is sufficient while 2 alone is not sufficient to answer the question
 
Answer & Explanation Answer: A) 2 alone is sufficient while 1 alone is not sufficient to answer the question

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Exam Prep: Bank Exams

0 5161
Q:

The least number that must be subtracted from 7577 to get a perfect square is

 

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

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Exam Prep: Bank Exams

4 8674
Q:

The average of ten numbers is 18. If one number is removed, then the average becomes 16, then what is the removed number?

 

A) 36 B) 40
C) 48 D) 52
 
Answer & Explanation Answer: A) 36

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Exam Prep: Bank Exams

2 653
Q:

If the arithmetic mean of two numbers is 7 and the geometric mean of the same two numbers is 2√10. Then find the numbers x and y respectively, such that x>y.

 

A) 4, 10 B) 2, 5
C) 5, 2 D) 10, 4
 
Answer & Explanation Answer: D) 10, 4

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams , CAT

1 843
Q:

Which is the correct ascending order of the given numbers?

 

A) 2/3, 5/6, 3/4 B) 3/4, 2/3, 5/6
C) 2/3, 3/4, 5/6 D) 5/6, 3/4, 2/3  
 
Answer & Explanation Answer: C) 2/3, 3/4, 5/6

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Exam Prep: Bank Exams

1 4942
Q:

If a number 6573547x45 is divisible by 9, then find the value of x.

 

A) 7 B) 0
C) 8 D) 6
 
Answer & Explanation Answer: C) 8

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Exam Prep: Bank Exams

1 9104
Q:

What is the least number consisting of five digits that is exactly divisible by 12, 18, 20 and 25?

 

A) 10800 B) 11250
C) 10000 D) 10680  
 
Answer & Explanation Answer: A) 10800

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Exam Prep: Bank Exams

0 5872