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Algebra Questions and Answers

Algebra Questions

Formula

Definition of Algebra

Algebra starts with a methodical learning of the uses along with the rules of arithmetic. The operations of multiplication, subtraction, addition as well as division functions as the foundation for all mathematical calculations.

Rules

For achieving simplification, characters of the alphabet are taken in algebra in order to signify values or digits. The alphabets like x, y, a, or b are used for a specific value (known or unknown), or else it could represent for any value at all. An alphabet or variable that signifies a random number is known as a variable. The difference, quotient, sum, and product of two digits, xand y, can be represented in the form of x + y, x – y, xy and x÷y.

Question 1

Time: 00:00:00
If l + m + n = 0 then l3+m3+n3 would be equal to:

3lmn

3lmn

(lm+ln+mn)/lmn

(lm+ln+mn)/lmn

lmn(ln+lm+mn)

lmn(ln+lm+mn)

(l^2+m^2+n^2)/lmn

(l^2+m^2+n^2)/lmn

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Question 2

Time: 00:00:00
If a-(1/a) =2 then calculate the value of a4+1/a4?

14

14

85

85

34

34

zero

zero

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Question 3

Time: 00:00:00
If b –1/b = 3 then calculate the value of b6+1/b6?

322

322

422

422

413

413

523

523

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Question 4

Time: 00:00:00
Calculate the value of p, if f(p)= P2 – 28p+196.

74

74

14

14

52

52

12

12

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Question 5

Time: 00:00:00
The unique solution for equation pm+qn= 1 and pm-qn = 1 will be:

p=1 and q= 1

p=1 and q= 1

P= 0 and q- 2

P= 0 and q- 2

P= 0 and q= -1

P= 0 and q= -1

None

None

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Question 6

Time: 00:00:00
Calculate the value of r from the equation ab - 3a + 5b + r?

-15

-15

7

7

-9

-9

31

31

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Question 7

Time: 00:00:00
Adam is twice good in working as Smith. If by working together on the same task, they can finish the same in 14 days. If Adam is not well than Smith does the work alone. How much time would he require to finish the task?

41

41

43

43

42

42

40

40

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Question 8

Time: 00:00:00
A mother said to her daughter, "When you were born, I was as old as you are now.” If the mother's age is 36 years at present, find the daughter’s age four years back.

12 years

12 years

18 years

18 years

14 years

14 years

21 years

21 years

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Question 9

Time: 00:00:00
30 students can write a thesis in 18 days when they study for 7 hours. How many days will 21 students who study for 8 hours take to finish that thesis assignment?

22.5

22.5

22.1

22.1

20

20

22.6

22.6

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Question 10

Time: 00:00:00
Sam purchased some tennis balls for Rs 450. He could have managed to buy 5 more balls by spending the same amount of money if each ball was marked Rs 15 low. Calculate the total number of balls bought by Sam?

15

15

10

10

45

45

50

50

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Question 11

Time: 00:00:00
A reduction is a 20% rate of Maize allows the consumer to acquire an additional 8 kg. for Rs 160. What is the reduced price per kg?

4 per Kg

4 per Kg

5 per Kg

5 per Kg

10 per Kg

10 per Kg

2 per Kg

2 per Kg