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:

Product of digits of a 2-digit number is 15. If we add 18 to the number, the new number obtained is a number formed by interchange of the digits. Find the number.

A) 35 B) 15
C) 51 D) 21
 
Answer & Explanation Answer: A) 35

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0 1121
Q:

What least number must be added to 1039, so that the sum obtained is completely divisible by 29?

A) 4 B) 5
C) 8 D) 6
 
Answer & Explanation Answer: B) 5

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1 2044
Q:

If in a two digit number, the digit at unit place is z and the digit at tens place is 8, then the number is

A) 80z + z B) 80 + z
C) 8z + 8 D) 80z + 8
 
Answer & Explanation Answer: B) 80 + z

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4 2050
Q:

Among three numbers , second is twice the first and also thrice the third . If the average of the three numbers is 33 , then the largest number is

A) 36 B) 54
C) 62 D) 72
 
Answer & Explanation Answer: B) 54

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0 967
Q:

The 4th term of an arithmetic progression is 15, 15th term is -29, find the 10th term?

A) -5 B) -13
C) -17 D) -9
 
Answer & Explanation Answer: D) -9

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0 837
Q:

How many numbers are there from 2000 to 7000 which are both perfect squares and perfect cubes?

A) 0 B) 1
C) 2 D) 3
 
Answer & Explanation Answer: B) 1

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2 1609
Q:

If 7 times the seventh term of an Arithmetic Progression (AP) is equal to 11 times its eleventh term, then the 18th term of the AP will be

A) 1 B) 0
C) 2 D) -1
 
Answer & Explanation Answer: B) 0

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0 1048
Q:

One number is 25% of another number. The larger number is 12 more than the smaller. The large number is

A) 48 B) 16
C) 4 D) 12
 
Answer & Explanation Answer: B) 16

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1 1421