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 that least digit that must be added to the product 5786 × 5784 to make it a perfect square?

 

A) 1 B) 6
C) 5 D) 4
 
Answer & Explanation Answer: A) 1

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2 951
Q:

There are two numbers such that the first number is half of the second number. If their average is 57, then what is the first number?

A) 19 B) 38
C) 21 D) 29
 
Answer & Explanation Answer: B) 38

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1 853
Q:

If the sum of squares of three consecutive natural number is 2702. Then, what will be the middle number?

 

A) 29 B) 30
C) 31 D) 32
 
Answer & Explanation Answer: B) 30

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0 944
Q:

If 169 is subtracted from the square of a number, then the result obtained is 7056. What is the number?

A) 75 B) 78
C) 85 D) 87
 
Answer & Explanation Answer: C) 85

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0 1167
Q:

Which of the following is NOT prime number?

A) 251 B) 571
C) 331 D) 341
 
Answer & Explanation Answer: D) 341

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Exam Prep: Bank Exams

2 880
Q:

Find the number of prime factor of 1024.

A) 9 B) 10
C) 11 D) 12
 
Answer & Explanation Answer: B) 10

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2 844
Q:

Sum of four consecutive odd numbers is 208. Find the largest number.

A) 55 B) 57
C) 59 D) 61
 
Answer & Explanation Answer: A) 55

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0 1962
Q:

The sum of a proper fraction and its reciprocal is 61/30. Find the fraction.

 

A) 1/3 B) 5/6
C) 3/10 D) 3/5
 
Answer & Explanation Answer: B) 5/6

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