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:

If () stands for division, (+) stands for multiplication, (÷) stands for subtraction and (×) stands for addition, which one of the following equations is correct?

A) 100+5−10×250÷200 = 100 B) 200+10−20×200÷100 = 150
C) 50×5÷10+100−75 = 50 D) 300+5−20×200÷100 = 200
 
Answer & Explanation Answer: A) 100+5−10×250÷200 = 100

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3 979
Q:

If 17 + 17 = 2895 18 + 18 = 3245 19 + 19 = 3615 then 23 + 23 = ?

A) 5765 B) 2565
C) 4005 D) 5295
 
Answer & Explanation Answer: D) 5295

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15 1417
Q:

In the following problem, '=' stands for '÷' , '+' stands for '­' , 'x' stands for '=', '­' stands for '+' and '÷' stands for 'x'. Find the correct equation.

A) 8 ÷ 4 + 1 ­- 5 = 6 x 4 B) 4 x 6 ÷ 4 + 4 = 7
C) 5 ÷ 3 ­- 25 + 20 = 20 x 39 D) 96 ÷ 2 x 6 ÷105 + 1
 
Answer & Explanation Answer: C) 5 ÷ 3 ­- 25 + 20 = 20 x 39

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1 867
Q:

In this question, some equations are solved on the basis of a certain system. On the same basis find out the correct answer from amongst the four alternatives for the unsolved equation.

15 x 26 = 6512

29 x 36 = 6923,

46 x 54 = ?

A) 5464 B) 4645
C) 4564 D) 4465
 
Answer & Explanation Answer: B) 4645

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0 908
Q:

If 3 # 4 % 8 = 6 and 9 % 4 # 3 = 12, then 12 % 6 # 24 = ?

A) 4 B) 3
C) 5 D) 6
 
Answer & Explanation Answer: B) 3

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2 990
Q:

If "+" means "minus", "x" means "divided by", "÷" means "plus" and "-" means "multiplied by", then 81 x 9 + 10 – 6 ÷ 5 = ?

A) 46 B) -46
C) 47 D) -45
 
Answer & Explanation Answer: B) -46

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6 2384
Q:

In the following question, select the number which can be placed at the sign of ? from the given alternatives.

A) 17 B) 18
C) 22 D) 25
 
Answer & Explanation Answer: D) 25

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2 753
Q:

In a certain code language, '-' represents 'x', '÷' represents '+', '+' represents '÷' and 'x' represents '-'. Find out the answer to the following question.19 ÷ 2 - 35 + 10 x 6 = ?

A) 20 B) 14
C) 32 D) 16
 
Answer & Explanation Answer: A) 20

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17 6449