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 sum of three numbers is 252. If the first number is thrice the second and third number is two-third of the first, then the second number is

A) 41 B) 21
C) 42 D) 84
 
Answer & Explanation Answer: C) 42

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0 909
Q:

On dividing a certain number by 342 we get 47 as remainder. If the same number is divided by 18, what will be the remainder ?

A) 15 B) 11
C) 17 D) 13
 
Answer & Explanation Answer: B) 11

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0 886
Q:

When a number x is divided by a divisor it is seen that the divisor = 4 times the quotient = double the remainder. If the remainder is 80 then the value of x is

A) 6480 B) 9680
C) 8460 D) 4680
 
Answer & Explanation Answer: A) 6480

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0 924
Q:

A number when divided by the sum of 555 and 445 gives two times their difference as quotient and 30 as the remainder. The number is

A) 220030 B) 22030
C) 1220 D) 1250
 
Answer & Explanation Answer: A) 220030

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0 906
Q:

The numerator of a fraction is multiple of two numbers. One of the numbers is greater than the other by 2. The greater number is smaller than the denominator by 4. If the denominator 7+C (C > -7) is a constant, then the minimum value of the fraction is

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

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0 905
Q:

If 27N4 is divisible by 11, then what is the value of N?

A) 2 B) 7
C) 9 D) 6
 
Answer & Explanation Answer: C) 9

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2 1239
Q:

What is the remainder when 6910 is divided by 81?

A) 25 B) 23
C) 21 D) 19
 
Answer & Explanation Answer: A) 25

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1 1532
Q:

What is the quotient when 7251 is divided by 66?

A) 110 B) 109
C) 111 D) 112
 
Answer & Explanation Answer: B) 109

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0 968