48
Q:

Find the quadratic equations whose roots are the reciprocals of the roots of 2x2+5x+3?

A)  3x2+5x+2=0   

B) 5x2+3x+2=0 

C) 3x2-5x-2=0   

D)  None



A) A B) B
C) C D) D

Answer:   A) A



Explanation:

The quadratic equation whose roots are reciprocal of 2x2+5x+3=0 can be obtained by replacing x by 1/x.

 

Hence, 2(1/x)(1/x)+ 5(1/x) + 3 = 0

 

=> 3x2+5x+2=0

 

 

Subject: Mathematical Operations
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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Q:

Select the Missing number?

A) 9 B) 201
C) 65 D) 101
 
Answer & Explanation Answer: C) 65

Explanation:
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3 972
Q:

In a certain code language, '+' represents 'x', '-' represents '+', 'x' represents '÷' and '÷' represents '-'. What is the answer to the following question?
72 x 9 - 14 + 2 = ?

A) 26 B) 80
C) 30 D) 36
 
Answer & Explanation Answer: D) 36

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5 803
Q:

The following equation is incorrect. Which two signs should be interchanged to correct the equation?

10 x 4 + 5 - 30 ÷ 6 = 31

A) x and - B) ÷ and -
C) + and ÷ D) - and +
 
Answer & Explanation Answer: A) x and -

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6 5783
Q:

In a certain code language, 'x' represents '+', '÷' represents 'x', '-' represents '÷' and '+' represents '-'. Find out the answer to the following question.

5 + 10 x 21 ÷ 5 - 15 = ?

A) 49 B) 2
C) 20 D) 34
 
Answer & Explanation Answer: B) 2

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2 901
Q:

Which of the following interchanges in signs and numbers will make the given equation correct?
8 x 9 + 2 = 74

A) x and =, 2 and 9 B) x and +, 8 and 2
C) + and x, 8 and 9 D) + and =, 74 and 2
 
Answer & Explanation Answer: B) x and +, 8 and 2

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7 2397
Q:

If "+" means "minus", "x" means "divided by", "÷" means "plus" and "-" means "multiplied by", then 38 x 2 – 6 + 19 ÷ 35 = ?

A) 130 B) 140
C) 135 D) 145
 
Answer & Explanation Answer: A) 130

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4 1054
Q:

The following equation is incorrect. Which two signs should be interchanged to correct the equation?

1 ÷ 14 x 30 + 20 - 10 = 12

A) - and + B) ÷ and x
C) x and - D) + and ÷
 
Answer & Explanation Answer: D) + and ÷

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15 9011
Q:

In a certain code language, '-' represents'+', '+' represents 'x', 'x' represents '÷' and '÷'represents '-'. Find out the answer to the following question.

2 - 12 + 10 x 5 ÷ 12 = ?

A) 32 B) 8
C) 4 D) 14
 
Answer & Explanation Answer: D) 14

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1 774