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 3 ­digit numbers are completely divided by 4.

A) 225 B) 224
C) 223 D) 222
 
Answer & Explanation Answer: A) 225

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0 752
Q:

Two numbers are 50% and 75% 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) 50 B) 25
C) 75 D) 100
 
Answer & Explanation Answer: D) 100

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5 1948
Q:

When a number is increased by 20, it becomes 116% of itself. What is the number?

A) 100 B) 250
C) 125 D) 400
 
Answer & Explanation Answer: C) 125

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0 1527
Q:

If the least common multiple of two numbers, 1728 and K is 5184, then how many values of K are possible?

A) 11 B) 8
C) 6 D) 7
 
Answer & Explanation Answer: D) 7

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1 1939
Q:

What is the sum of all natural numbers between 100 and 400 which are divisible by 13?

A) 5681 B) 5334
C) 5434 D) 5761
 
Answer & Explanation Answer: A) 5681

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0 1094
Q:

If A = 11x2+11x4+12x3+14x7+13x4+17x10... upto 20 terms, then what is the value of A?

A) 379/308 B) 171/140
C) 379/310 D) 420/341
 
Answer & Explanation Answer: D) 420/341

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Exam Prep: Bank Exams

0 1113
Q:

If N = 0.369369369369... and M = 0.531531531531..., then what is the value of (1/N) + (1/M)?

A) 11100/2419 B) 111/100
C) 1897/3162 D) 2419/11100
 
Answer & Explanation Answer: A) 11100/2419

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5 1792
Q:

If the sum of ten different positive integers is 100, then what is the greatest possible number among these 10 numbers?

A) 45 B) 91
C) 55 D) 64
 
Answer & Explanation Answer: C) 55

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0 1193