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:

A number 35786X625 is completely divisible by 9, find the smallest whole digit number in the place of ‘X’.

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

Explanation:
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Exam Prep: Bank Exams

1 842
Q:

Find the remainder in the expression 550×651×6627?

A) 5 B) 4
C) 0 D) 3
 
Answer & Explanation Answer: C) 0

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Exam Prep: Bank Exams

4 1343
Q:

Divide 150 into two parts such that the sum of their reciprocals is 3/112. Calculate both the parts.

A) 50, 90 B) 70, 80
C) 60, 90 D) 50, 100
 
Answer & Explanation Answer: B) 70, 80

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Exam Prep: Bank Exams

1 1193
Q:

Find the unit place digit in the expression given below:


1! + 2! + 3! + 4! + ..... + 20!

 

A) 5 B) 0
C) 3 D) 9
 
Answer & Explanation Answer: C) 3

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Exam Prep: Bank Exams

2 4117
Q:

The addition of a rational number and its reciprocal is 61/30. Calculate the number.

A) 5/6, 6/5 B) 5/6, 7/5
C) 7/6, 6/5 D) 7/6, 7/5
 
Answer & Explanation Answer: A) 5/6, 6/5

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Exam Prep: Bank Exams

0 1073
Q:

The sum of two numbers is 25 and sum of their square is 313. Calculate the numbers.

A) 15, 10 B) 18, 7
C) 11, 14 D) 12, 13
 
Answer & Explanation Answer: D) 12, 13

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams , CAT

1 789
Q:

The ratio of two numbers is 3 : 7. If their product is 1344, then what is the sum of both the numbers?

A) 80   B) 60
C) 30 D) 168
 
Answer & Explanation Answer: A) 80  

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Exam Prep: Bank Exams , CAT

0 1163
Q:

1595 is the sum of the square of three consecutive odd numbers. Find the numbers.

 

A) 19, 21, 23 B) 17, 19, 21
C) 21, 23, 25 D) 23, 25, 27
 
Answer & Explanation Answer: C) 21, 23, 25

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3 6996