49
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
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Q:

In a certain code language, '÷' represents '+', '-' represents 'x', '+' represents '÷' and 'x' represents '-'. Find out the answer to the followingquestion. 8 ÷ 14 - 20 + 5 x 2 = ?

A) 46 B) 62
C) 32 D) 14
 
Answer & Explanation Answer: B) 62

Explanation:
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5 1421
Q:

If 324⊕289 = 35, 441⊕484 = 43, then 625⊕400 = ?

A) 431 B) 413
C) 341 D) 143
 
Answer & Explanation Answer: D) 143

Explanation:
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24 3159
Q:

If the signs + and / and the numbers 2 and 4 are interchanged, which one of the following four equations would be correct?

A) 4/2+3 = 6 B) 2+4/3 = 3
C) 4+2/6 = 1.5 D) 2+4/6 = 8
 
Answer & Explanation Answer: D) 2+4/6 = 8

Explanation:
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1 780
Q:

1/2 - 1/8 =

A) 1/2 B) 3/8
C) 2/3 D) 3/2
 
Answer & Explanation Answer: B) 3/8

Explanation:

Now to find the difference in the given fractions, 1/2 - 1/8

First take the LCM of 2 & 8

LCM of 2 & 8 is 8

Then,

1/2 - 1/8

= (4 - 1)/8

= 3/8

 

Hence, 1/2 - 1/8 = 3/8.

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11 1479
Q:

5068 / 37 x 4 = ?

A) 548 B) 625
C) 214 D) 745
 
Answer & Explanation Answer: A) 548

Explanation:

? = 5068 x 4/37

? = 548

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20 2162
Q:

X2+X2 =

A) 4X B) 2X
C) 2X^2 D) X/2
 
Answer & Explanation Answer: C) 2X^2

Explanation:

Here the given expression, 

X2 + X is an algebraic expression. Here in this expression the terms are like terms. Now to add them, add their coefficients.

Here in the given expression, the like terms are two X

Hence, adding their coefficients i.e, 1 + 1 = 2

Therefore, 

 

X2 + X2 = 2X2.

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14 2396
Q:

5x - 6 = 3x - 8

Solve the above equation.

A) 2 B) -1
C) -2 D) 1
 
Answer & Explanation Answer: B) -1

Explanation:

Given 5x - 6 = 3x - 8

5x - 3x = -8 + 6

2x = -2

=> x = -1.

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23 9258
Q:

3 x 3 + 3 - 3 + 3 = ?

A) 9 B) 12
C) -3 D) 3
 
Answer & Explanation Answer: B) 12

Explanation:

Using BODMAS law,

3 x 3 + 3 - 3 + 3 =

3 x 3 = 12

= 12 + 3 - 3 + 3

=  9 + 3

= 12

 

Hence, 3 x 3 + 3 - 3 + 3 = 12.

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19 2067