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:

In the given series, how many 8s are there that are not divisible by the number to its left but completely divisible by the number to its right.

563248889266588343

 

A) 4 B) 2
C) 1 D) 3
 
Answer & Explanation Answer: C) 1

Explanation:
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Exam Prep: Bank Exams

0 824
Q:

Find the fraction which is as much greater than 4/7 as it is less than 5/6

A) 58/84 B) 59/84
C) 59/85 D) 84/59
 
Answer & Explanation Answer: B) 59/84

Explanation:
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Exam Prep: Bank Exams

1 673
Q:

The sum of two fractions is 5/6. One of them is 3/4, what is the other fraction?

A) 2/5 B) 1/12
C) 2/2 D) 1/10
 
Answer & Explanation Answer: B) 1/12

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Exam Prep: Bank Exams

1 1024
Q:

The product of two numbers is 0.432. One of the numbers is 1.6. What is the other number?

A) 2.7 B) 0.027
C) 27 D) 0.27
 
Answer & Explanation Answer: D) 0.27

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Exam Prep: Bank Exams , CAT

1 848
Q:

Four numbers, when arranged in ascending order, are w, x, y and z. The average of the smallest three numbers is 18, while the average of the largest three was 22. What is the range of the data?

A) 10 B) 12
C) 13 D) 11
 
Answer & Explanation Answer: B) 12

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0 826
Q:

Find the missing digit if it has 11 and 13 as factors?

A) 2 B) 6
C) 8 D) 4
 
Answer & Explanation Answer: D) 4

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Exam Prep: Bank Exams

2 889
Q:

The difference between the place values of 9 and 5 in the number 428693745 is

A) 90995 B) 99995
C) 89995 D) 8995
 
Answer & Explanation Answer: C) 89995

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1 830
Q:

Factors of 36 - 

A) 72 B) 108
C) 144 D) 18
 
Answer & Explanation Answer: D) 18

Explanation:

From the given options, 

72, 108, 144 are multiples of 36.

18 is the only factor of 36.

 

Factors of 36 are -  1, 2, 3, 4, 6, 9, 12, 18.

 

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0 995