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:

The greatest perfect square number of 6 digits is

A) 999001 B) 998001
C) 998009 D) 998101
 
Answer & Explanation Answer: B) 998001

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0 916
Q:

The sum of three consecutive natural numbers each divisible by 5, is 225. The largest among them is

A) 85 B) 75
C) 70 D) 80
 
Answer & Explanation Answer: D) 80

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0 955
Q:

Instead of multiplying by 25, a student multiplies that number by 52 and gets 324 more than correct answer. Then that number is

A) 15 B) 12
C) 25 D) 32
 
Answer & Explanation Answer: B) 12

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0 880
Q:

a and b are irrational numbers such that a+b = q is a rational number; then a­b is

A) always rational B) sometimes rational
C) always irrational D) some times irrational
 
Answer & Explanation Answer: C) always irrational

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0 1097
Q:

What least value must be assigned to '*' so that the numbers 451 *  603 is exactly divisible by 9?

A) 7 B) 8
C) 5 D) 9
 
Answer & Explanation Answer: B) 8

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0 1455
Q:

The sum of the cubes of two numbers in the ratio 3 : 4 is 5824. The sum of the numbers is:

A) 21 B) 28
C) 24 D) 14
 
Answer & Explanation Answer: B) 28

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0 816
Q:

Three numbers are in the ratio 1 : 2 : 3 and the sum of their cubes is 4500 .The smallest numbers is

A) 4 B) 5
C) 6 D) 10
 
Answer & Explanation Answer: B) 5

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0 1091
Q:

Sum of three consecutive integers is 51 . The middle one is:

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

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