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:

M is the largest three digit number which when divided by 6 and 5 leaves remainder 5 and 3 respectively. What will be the remainder when M is divided by 11?

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: D) 4

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2 1839
Q:

How many natural numbers are there between 1000 to 2000, which when divided by 341 leaves remainder 5?

A) 3 B) 2
C) 4 D) 1
 
Answer & Explanation Answer: A) 3

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0 1215
Q:

The product of two numbers is 48. If one number equals "The number of wings of a bird plus 2 times the number of fingers on your hand divided by the number of wheels of a Tricycle". Then the other number is

A) 9 B) 10
C) 12 D) 18
 
Answer & Explanation Answer: C) 12

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3 1033
Q:

The smallest number, which should be added to 756896 so as to obtain a multiple of 11, is

A) 1 B) 2
C) 3 D) 5
 
Answer & Explanation Answer: C) 3

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1 967
Q:

Twenty one times of a positive number is less than its square by 100. The value of the positive number is

A) 25 B) 26
C) 42 D) 41
 
Answer & Explanation Answer: A) 25

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0 939
Q:

If the sum of squares of two real numbers is 41 and their sum is 9. Then the sum of cubes of these two numbers is

A) 169 B) 209
C) 189 D) 198
 
Answer & Explanation Answer: C) 189

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0 900
Q:

The sum of three numbers is 2, the 1st number is 1/2 times the 2nd number and the 3rd number is 1/4 times the 2nd number. The 2nd number is

A) 7/6 B) 8/7
C) 9/8 D) 10/9
 
Answer & Explanation Answer: B) 8/7

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1 881
Q:

The sum of squares of three positive integers is 323. If the sum of squares of two numbers is twice the third, their product is

A) 255 B) 260
C) 265 D) 270
 
Answer & Explanation Answer: A) 255

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