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:

Find the smallest of the following decimals.

A) 0.2 x 0.2 x 0.2 B) 0.02/3
C) 0.01/2 D) 0.1 x 0.02 x 2
 
Answer & Explanation Answer: D) 0.1 x 0.02 x 2

Explanation:
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0 682
Q:

The denominator of a rational number exceeds its numerator by 10. If the numerator is increased by 4 and the denominator is reduced by3, the number obtained is 5/6. The original rational number is

A) 11/12 B) 7/17
C) 9/19 D) 13/23
 
Answer & Explanation Answer: A) 11/12

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0 701
Q:

By dividing 14528 by a certain number, Suresh gets 83 as quotient and 3 as remainder. What is the divisor?

A) 165 B) 185
C) 195 D) 175
 
Answer & Explanation Answer: D) 175

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0 753
Q:

If x2 + ax + b, when divided by x + 3, leaves a remainder of -1 and x2 + bx + a, when divided by x - 3, leaves a remainder of 39, then a+ b = ?

 

A) -14 B) -38
C) 14 D) 38
 
Answer & Explanation Answer: C) 14

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0 805
Q:

To get number 40, the number 56/9 should be multiplied with

A) 52/7 B) 26/7
C) 45/6 D) 45/7
 
Answer & Explanation Answer: A) 52/7

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2 883
Q:

Which of the following will give a terminating decimal?

A) 3/36 B) 9/36
C) 12/36 D) 6/36
 
Answer & Explanation Answer: B) 9/36

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3 793
Q:

If the number x4441 is divisible by 11, what is the face value of x?

A) 2 B) 5
C) 4 D) 3
 
Answer & Explanation Answer: D) 3

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0 628
Q:

Find the least number among  59, 949, 0.43 and 0.72.

A) 5/9 B) 0.72
C) 949 D) 0.43
 
Answer & Explanation Answer: C) 949

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