# HackerRank Algebra and Calculus Quiz- 1

Question 1

Time: 00:00:00
Ben Foster appeared in a test for jobs before joining hollywood. He struck in a question which was as follows: If a and b are roots of $P^2- 4P - 21 = 0$, where a > b, find the equation whose roots are a/b and b/a.

$21 P^2 + 58P + 21 = 0$

$21 P^2 + 58P + 21 = 0$

$25 P^2 + 58P + 21 = 0$

$25 P^2 + 58P + 21 = 0$

$21 P^2 - 58P + 21 = 0$

$21 P^2 - 58P + 21 = 0$

$21 P^2 - 58P - 21 = 0$

$21 P^2 - 58P - 21 = 0$

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Question 2

Time: 00:00:00
If $x+\frac{1}{x}=7$, then find the value of  $x^2+\frac{1}{x^2}$

47

47

43

43

56

56

32

32

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Question 3

Time: 00:00:00
Julie Delpy was asked a question by one of the students during her school visit in 2017. The question was “If  $5a+\frac{1}{3a}=5$, then find the value of $9a^2+\frac{1}{25a^2}$

$\frac{39}{5}$

$\frac{39}{5}$

$\frac{36}{5}$

$\frac{36}{5}$

$\frac{32}{7}$

$\frac{32}{7}$

$\frac{31}{9}$

$\frac{31}{9}$

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Question 4

Time: 00:00:00
Stanley Tucci buys 3 cows and 18 goats for Rs. 47,200. Instead if he would have bought 8 cows and 3 goats, he would have had to pay Rs. 53,000 more. Cost of one cow is:

Rs. 14000

Rs. 14000

Rs. 12880

Rs. 12880

Rs. 12000

Rs. 12000

Rs. 15670

Rs. 15670

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Question 5

Time: 00:00:00
If a-b=2, $a^3-b^3=98$ ,determine the value of ab.

21

21

19

19

18

18

15

15

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Question 6

Time: 00:00:00
If $\frac{a}{b}+\frac{b}{a}=2,find the value of (a-b)^2$

1

1

5

5

3

3

'0'

'0'

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Question 7

Time: 00:00:00
If $x+\frac{1}{x}=2$,then the value of $x^5+\frac{1}{x^5}$ is equal to?

3

3

2

2

5

5

7

7

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Question 8

Time: 00:00:00
Jeff Daniels asked a question to a student who he met in a school event.”If m + n = 1, then the value of $m^3 + n^3 + 3mn$ is equal to”

5

5

1

1

4

4

8

8

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Question 9

Time: 00:00:00
Norman Reedus was struck in the middle of a question,the question is as follows:  If $(a+\frac{1}{a})^2=3$ ,then the value of $a^6-\frac{1}{a^6}$ will be

3

3

1

1

'0'

'0'

2

2

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Question 10

Time: 00:00:00
Sean Astin was trying to solve a question which was as follows:

If a + b + c = 1, ab + bc + ca = – 1 and abc = –1, then the value of $a^3 + b^3 + c^3$ is :

2

2

1

1

5

5

3

3

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["0","40","60","80","100"]
["Need more practice!","Keep trying!","Not bad!","Good work!","Perfect!"]

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