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 first and last terms of an arithmetic progression are 32 and ­-43. If the sum of the series is ­-88, then it has how many terms?

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

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0 1568
Q:

The ten's digit of a 2-digit number is greater than the units digit by 7. If we subtract 63 from the number, the new number obtained is a number formed by interchange of the digits. Find the number.

A) 81 B) 18
C) 62 D) 26
 
Answer & Explanation Answer: A) 81

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1 1312
Q:

(91 + 92 + 93 + ......... +110) is equal to

A) 4020 B) 2010
C) 6030 D) 8040
 
Answer & Explanation Answer: B) 2010

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5 1834
Q:

The ten's digit of a 2­digit number is greater than the units digit by 4. If we subtract 36 from the number, the new number obtained is a number formed by interchange of the digits. Find the number.

A) 37 B) 18
C) 81 D) 73
 
Answer & Explanation Answer: D) 73

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3 1154
Q:

Find the value of p if 3x + p, x -­ 10 and ­x + 16 are in arithmetic progression.

A) 16 B) 36
C) -16 D) -36
 
Answer & Explanation Answer: D) -36

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0 794
Q:

What should be the missing digit so that the number 347_547 becomes exactly divisible by 11?

A) 5 B) 3
C) 9 D) 2
 
Answer & Explanation Answer: B) 3

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0 1184
Q:

Among three numbers, the first is twice the second and thrice the third. If the average of three numbers is 506, then what is the difference between the first and the third number?

A) 759 B) 585
C) 755 D) 552
 
Answer & Explanation Answer: D) 552

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1 1431
Q:

Between 200 and 400 how many numbers are divisible by 7?

A) 28 B) 29
C) 30 D) 31
 
Answer & Explanation Answer: B) 29

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0 1043