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 HCF (highest common factor) of 77 and 275?

A) 12 B) 11
C) 7 D) 25
 
Answer & Explanation Answer: B) 11

Explanation:
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0 820
Q:

In an arithmetic progression, if 9 is the 5th term, -26 is the 12th term, then -6 is which term?

A) 11 B) 8
C) 10 D) 7
 
Answer & Explanation Answer: B) 8

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2 833
Q:

When 0.363636.....is converted into a fraction, then the result is _____.

A) 7/11 B) 4/11
C) 14/33 D) 8/33
 
Answer & Explanation Answer: B) 4/11

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0 932
Q:

Between 50 and 150 how many numbers are divisible by 7?

A) 15 B) 16
C) 17 D) 14
 
Answer & Explanation Answer: D) 14

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0 1275
Q:

Two numbers are 35% and 40% lesser than a third number. By how much percent is the second number to be enhanced to make it equal to the first number?

A) 7.69 percent B) 5 percent
C) 8.33 percent D) 12.5 percent
 
Answer & Explanation Answer: C) 8.33 percent

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0 904
Q:

Which of the following numbers is not a prime number?

A) 197 B) 313
C) 439 D) 391
 
Answer & Explanation Answer: D) 391

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Exam Prep: Bank Exams

1 863
Q:

Three consecutive natural numbers are such that the square of the greatest is greater than the product of the other two by 16. The smallest of these numbers is

A) 5 B) 6
C) 7 D) 4
 
Answer & Explanation Answer: D) 4

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4 1150
Q:

The sum of twice a number and thrice its reciprocal is 25/2. What is the number?

A) 7 B) 6
C) 5 D) 4
 
Answer & Explanation Answer: B) 6

Explanation:
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