Algebra Test 3

Welcome to your Algebra Test 3

Question No. 1

In the given question, two equations numbered l and II are given. You have to solve both the equations and mark the appropriate answer.

I. (169)^1/2a + √289 = 134II. (361)^1/2b² – 270 = 1269

A. a ≥ b

B. a ≤ b

C. a > b

D. a < b

E. a = b or relationship between a and b cannot be established

Question No. 2

In the given question, two equations numbered l and II are given. You have to solve both the equations and mark the appropriate answer

I. (6a² + 17) – (3a² + 20) = 0

II. (9b² + 12) – (5b² + 16) = 0

A. a ≥ b

B. a ≤ b

C. a > b

D. a < b

E. a = b or relationship between a and b cannot be established

Question No. 3

In the given question, two equations numbered l and II are given. You have to solve both the equations and mark the appropriate answer.

I. √(x + 153) - 6 = 7

II. √(y - 12) = √1156 - √1024

A. If x > y

B. If x < y

C. If x ≥ y

D. If x ≤ y

E. If x = y or no relation can be established.

Question No. 4

In the given question, two equations numbered l and II are given. You have to solve both the equations and mark the appropriate answer.

I. a² - 5a - 266 = 0II. b² + 38b + 361 = 0

A. a < b

B. a > b

C. a ≤ b

D. a ≥ b

E. a = b or the relationship cannot be determined

Question No. 5

In the given question, two equations numbered l and II are given. You have to solve both the equations and mark the appropriate answer

I. a²- 1024 = 0II. b² - 64b = 0

A. a < b

B. a > b

C. a ≤ b

D. a ≥ b

E. a = b or the relationship cannot be determined

Question No. 6

6. In the given question, two equations numbered l and II are given. You have to solve both the equations and mark the appropriate answer.

A. if x < y

B. if x ≥ y

C. if x ≤ y

D. if x > y

E. if x = y or no relationship can be established

Question No. 7

In the given question, two equations numbered l and II are given. You have to solve both the equations and mark the appropriate answer.

I. √x – √6/√x = 0

II. y³ – 6^3/2 = 0

A. If x > y

B. If x < y

C. If x ≥ y

D. If x ≤ y

E. If x = y or relation cannot be established

Question No. 8

In the given question, two equations numbered l and II are given. You have to solve both the equations and mark the appropriate answer.

I. (x + y)³= 1331II. xy = 28

A. x > y

B. x < y

C. x ≥ y

D. x ≤ y

E. x = y or relation cannot be established

Question No. 9

In the given question, two equations numbered l and II are given. You have to solve both the equations and mark the appropriate answer.

I) 14x² = 7xII) y + x² = 0.75

A. if x < y

B. if x > y

C. if x ≤ y

D. if x ≥ y

E. if x = y or if the relationship cannot be established

Question No. 10

If α and β are the zeros of x² + 8x + 12, then the value of (α + β) is:

A. -3

B. 3

C. 8

D. -8

E. 9

Question No. 11

In the given question, two equations numbered l and II are given. You have to solve both the equations and mark the appropriate answer.

I) x⁴ – 13x² + 36 = 0II) y² + 7y + 12 = 0

A. x > y

B. x < y

C. x ≤ y

D. x ≥ y

E. x = y or the relationship cannot be established.

Question No. 12

In the given question, two equations numbered l and II are given. You have to solve both the equations and mark the appropriate answer.

I. x² – 5√5x + 30 = 0II. y² – 5√5y +30 = 0

A. x > y

B. x < y

C. x ≤ y

D. x ≥ y

E. No relation can be established

Question No. 13

In the given question, two equations numbered l and II are given. You have to solve both the equations and mark the appropriate answer.

I. √(24x²) – 48√6 = 0

II. √92 y – 46 = 0

A. If x > y

B. If x ≥ y

C. If x < y

D. If x ≤ y

E. relationship cannot be established.

Question No. 14

In the given question, two equations numbered l and II are given. You have to solve both the equations and mark the appropriate answer.

I. 2x² - x - 231 = 0II. 2y² + 43y + 231 = 0

A. x > y

B. x < y

C. x ≥ y

D. x ≤ y

E. x = y or relation cannot be established

Question No. 15

In a test, Kate has got 2 marks more than Stacy. If each of them gets 3 marks more, then twice the product of their marks will be 1350 more than the product of their actual marks. Minimum marks that can be obtained in test is 0. What is the sum of marks obtained by them?

A. 54

B. 58

C. 62

D. 66

E. 74

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