UP Polytechnic Entrance Exam Algebra Mock Test

Boost your preparation for the UP Polytechnic Entrance Exam 2024 with our comprehensive Algebra Mock Test. Practice essential algebraic concepts, solve diverse problems, and enhance your exam readiness for success. Access our UP Polytechnic Algebra Mock Test now

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Algebra

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1 / 25

द्विघात व्यंजक (x^2 + 6x + 9) का गुणनखंड करें:IFactorize the quadratic expression (x^2 + 6x + 9):

((x + 2)^2)

((x + 1)^2)

((x + 4)^2)

((x + 3)^2)

2 / 25

समीकरण (2(y - 1) = 4y) में (y) को हल करें:ISolve for (y) in the equation (2(y - 1) = 4y):

(y = 1)

(y = 2)

(y = 3)

(y = 4)

3 / 25

यदि (a^2 + 4a + 4 = 0), तो (a) का मान क्या है?IIf (a^2 + 4a + 4 = 0), what is the value of (a)?

(a = 2)

(a = -2)

(a = -4)

(a = 4)

4 / 25

अभिव्यक्ति को सरल बनाएं 2 /3 x 5/4ISimplify the expression 2/3 x 5/4

(frac{10}{12})

(frac{5}{6})

(frac{5}{8})

(frac{10}{9})

5 / 25

यदि (3(x - 1) = 2x + 5), तो (x) का मान क्या है?IIf (3(x - 1) = 2x + 5), what is the value of (x)?

(x = 3)

(x = 4)

(x = 6)

(x = 2)

6 / 25

यदि (2x + 3 = 7), तो (x) का मान क्या है?IIf (2x + 3 = 7), what is the value of (x)?

(x = 4)

(x = 3)

(x = 2)

(x = 5)

7 / 25

यदि (2y - 1 = 7), तो (y) का मान क्या है?IIf (2y - 1 = 7), what is the value of (y)?

(y = 5)

(y = 4)

(y = 3)

(y = 6)

8 / 25

समीकरण (2y/3 = 6) में (y) को हल करें:ISolve for (y) in the equation (2y/3 = 6):

(y = 6)

(y = 8)

(y = 4)

(y = 9)

9 / 25

असमानता को हल करें (3x - 2 < 7):ISolve the inequality (3x - 2 < 7):

(x < 3)

(x < 5)

(x > 5)

(x > 3)

10 / 25

द्विघात व्यंजक (x^2 - 5x + 6) का गुणनखंड करें:IFactorize the quadratic expression (x^2 - 5x + 6):

((x - 1)(x - 3))

((x - 2)(x - 6))

((x - 2)(x - 3))

((x - 1)(x - 6))

11 / 25

अभिव्यक्ति का गुणनखंड करें (4x^2 - 1):IFactorize the expression (4x^2 - 1):

((2x + 4)(2x - 4))

((2x + 1)(2x - 1))

((2x + 2)(2x - 2))

((2x + 3)(2x - 3))

12 / 25

यदि (3x - 7 = 5), तो (x) का मान क्या है?IIf (3x - 7 = 5), what is the value of (x)?

(x = 4)

(x = 2)

(x = 6)

(x = 3)

13 / 25

समीकरण (4(x - 2) = 12) में (x) को हल करें:ISolve for (x) in the equation (4(x - 2) = 12):

(x = 3)

(x = 5)

(x = 4)

(x = 2)

14 / 25

अभिव्यक्ति को सरल बनाएं (frac{2x^2 - 6x}{4x}):ISimplify the expression (frac{2x^2 - 6x}{4x}):

(frac{x}{6})

(frac{x}{8})

(frac{x}{2})

(frac{x}{4})

15 / 25

अभिव्यक्ति को सरल बनाएं (3(x + 4) - 2):ISimplify the expression (3(x + 4) - 2):

(3x + 12)

(3x + 8)

(3x + 6)

(3x + 10)

16 / 25

यदि (2(x + 1) = 4), तो (x) का मान क्या है?IIf (2(x + 1) = 4), what is the value of (x)?

(x = 1)

(x = 0)

(x = 2)

(x = -1)

17 / 25

अभिव्यक्ति का गुणनखंड करें (x^2 - 4):IFactorize the expression (x^2 - 4):

((x - 3)(x + 3))

((x - 2)(x + 2))

((x - 4)(x + 4))

((x - 1)(x + 1))

18 / 25

यदि (a + 2b = 10) और (2a - b = 5), तो (a) का मान क्या है?IIf (a + 2b = 10) and (2a - b = 5), what is the value of (a)?

(a = 6)

(a = 3)

(a = 5)

(a = 4)

19 / 25

समीकरणों की प्रणाली को हल करें: 2x - y = 3, x + y = 5ISolve the system of equations: 2x – y = 3, x + y = 5

(x = 2, y = 3)

(x = 4, y = 1)

(x = 3, y = 2)

(x = 1, y = 4)

20 / 25

असमानता को हल करें (4x + 1 > 9):ISolve the inequality (4x + 1 > 9):

(x < 2.5)

(x > 2)

(x > 2.5)

(x < 2)

21 / 25

अभिव्यक्ति को सरल बनाएं (5m^2 - 3m + 2m^2 - 7):ISimplify the expression (5m^2 - 3m + 2m^2 - 7):

(7m^2 - 2m - 7)

(7m^2 - 5m - 7)

(7m^2 - 3m - 7)

(7m^2 - m - 7)

22 / 25

(2x^2) और (3x) का गुणनफल क्या है?IWhat is the product of (2x^2) and (3x)?

(6x^2)

(5x^3)

(6x^3)

(5x^2)

23 / 25

अभिव्यक्ति को सरल बनाएं (2a^3 - 5a^2 + 3a^3 - a):ISimplify the expression (2a^3 - 5a^2 + 3a^3 - a):

(5a^3 - 5a^2 - a)

(5a^3 - 4a^2 - a)

(3a^3 - 5a^2 + a)

(5a^3 - 6a^2 - a)

24 / 25

अभिव्यक्ति को सरल बनाएं (3a^2 + 6a/a + 2):ISimplify the expression (3a^2 + 6a/a + 2):

(3a - 6)

(3a + 6)

(3a)

(3a + 2)

25 / 25

समीकरण (2x + 5 = 11) को हल करे?IWhat is the solution to the equation (2x + 5 = 11)?

(x = 6)

(x = 2)

(x = 3)

(x = -3)

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