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:

How many prime numbers are there between the positive integers 60 and 100?

A) 9 B) 6
C) 7 D) 8
 
Answer & Explanation Answer: D) 8

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0 625
Q:

The sum of two fractions is 3/4. One of them is 2/3. What is the other fraction?

A) 1/12 B) 1/1
C) 1/10 D) 1/5
 
Answer & Explanation Answer: A) 1/12

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0 586
Q:

The sum of 5/8 and 8/5 is

A) 80/40 B) 13/40
C) 13/13 D) 89/40
 
Answer & Explanation Answer: D) 89/40

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1 652
Q:

If the number x3451 is divisible by 3, where x is a digit, what can be the sum of all such values of x?

 

 

A) 15 B) 16
C) 11 D) 14
 
Answer & Explanation Answer: A) 15

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1 682
Q:

If 70% of 5/7th of a number is 90, find the number.

A) 150 B) 180
C) 160 D) 190
 
Answer & Explanation Answer: B) 180

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1 591
Q:

In a number system, on dividing 11509 by a certain number, Mukesh gets 71 as quotient and 7 as remainder. What is the divisor?

A) 132 B) 172
C) 182 D) 162
 
Answer & Explanation Answer: D) 162

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0 610
Q:

Three numbers are given in which the second is triple the first and is also double the third. If the average of the three numbers is 66. Find the first number.

A) 36 B) 54
C) 108 D) 72
 
Answer & Explanation Answer: A) 36

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0 544
Q:

In a fraction when 3 is added to its numerator and denominator it becomes 4/5. And it becomes 1/2 when 2 is subtracted from both the numerator and denominator. Find the fraction.

 

A) 15/16   B) 14/16  
C) 11/16   D) 9/16
 
Answer & Explanation Answer: C) 11/16  

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