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:

What is the unit digit of the sum of first 111 whole numbers?

A) 4 B) 6
C) 5 D) 0
 
Answer & Explanation Answer: C) 5

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Exam Prep: Bank Exams , CAT

2 1309
Q:

Convert decimal number 101 to binary.

A) 1100101 B) 1100111
C) 1101001 D) 1101011
 
Answer & Explanation Answer: A) 1100101

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Exam Prep: Bank Exams

0 866
Q:

The first and last terms of an arithmetic progression are 23 and ­42. What is the sum of the series if it has 14 terms?

A) ­91 B) -133
C) 93 D) 133
 
Answer & Explanation Answer: B) -133

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Exam Prep: Bank Exams

0 1127
Q:

The reciprocal of the sum of the reciprocals of 8/7 and 5/6 is:

A) 83/40 B) 42/83
C) 83/42 D) 40/83
 
Answer & Explanation Answer: D) 40/83

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Exam Prep: Bank Exams

0 1037
Q:

The reciprocal of the sum of the reciprocals of 3/8 and 8/11 is:

A) 97/24 B) 24/97
C) 88/97 D) 97/88
 
Answer & Explanation Answer: B) 24/97

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Exam Prep: Bank Exams

0 973
Q:

On dividing a number by 47, we get 75 as quotient and 18 as remainder. What is the number?

A) 3507 B) 3543
C) 3489 D) 3561
 
Answer & Explanation Answer: B) 3543

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Exam Prep: Bank Exams

1 978
Q:

Divide 32 into two parts such that the sum of the square of the parts is 674. What is the value of the parts?

A) 22, 10 B) 30, 2
C) 25, 7 D) 20, 12
 
Answer & Explanation Answer: C) 25, 7

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Exam Prep: Bank Exams

0 1088
Q:

Product of digits of a 2-digit number is 24. If we add 45 to the number, the new number obtained is a number formed by interchange of the digits.What is the original number?

A) 54 B) 83
C) 38 D) 45
 
Answer & Explanation Answer: C) 38

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Exam Prep: Bank Exams

0 998