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 three digit numbers are there in which all the digits are odd?

A) 100 B) 125
C) 500 D) 250
 
Answer & Explanation Answer: B) 125

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0 1068
Q:

If the number 247_679 is completely divisible by 9, then the smallest whole number in the place of the blank digit will be

A) 2 B) 7
C) 1 D) 5
 
Answer & Explanation Answer: C) 1

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0 899
Q:

If 8/5 of 4/3 of a number is 192, then 5/6 of that number is

A) 75 B) 192
C) 180 D) 65
 
Answer & Explanation Answer: A) 75

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0 1165
Q:

Of the 5 numbers whose average is 78, the first is 2/11 times the sum of other 4. The first number is

A) 90 B) 40
C) 60 D) 120
 
Answer & Explanation Answer: C) 60

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1 1243
Q:

How many natural numbers are there between √261 and √45109?

A) 144 B) 196
C) 168 D) 195
 
Answer & Explanation Answer: B) 196

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1 1213
Q:

The average of three consecutive odd numbers is 52 more than 1/3rd of the largest of these numbers. What is the smallest of these numbers?

A) 79 B) 75
C) 81 D) 77
 
Answer & Explanation Answer: D) 77

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Exam Prep: Bank Exams

4 1652
Q:

Of the 3 numbers whose average is 22, the first is 3/8th the sum of other 2. What is the first number?

A) 16 B) 20
C) 22 D) 18
 
Answer & Explanation Answer: D) 18

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4 1593
Q:

Two numbers are 40% and 80% lesser than a third number. By how much percent is the second number to be enhanced to make it equal to the first number?

A) 100 B) 33.3
C) 66.6 D) 200
 
Answer & Explanation Answer: D) 200

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2 1237