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

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

(x = 4)

(x = 3)

(x = 6)

(x = 2)

2 / 25

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

(y = 6)

(y = 8)

(y = 9)

(y = 4)

3 / 25

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

(x = 2)

(x = 5)

(x = 3)

(x = 4)

4 / 25

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

(y = 2)

(y = 1)

(y = 3)

(y = 4)

5 / 25

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

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

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

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

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

6 / 25

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

(x > 3)

(x < 5)

(x > 5)

(x < 3)

7 / 25

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

(x = 5)

(x = 2)

(x = 4)

(x = 3)

8 / 25

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

(x = 4, y = 1)

(x = 2, y = 3)

(x = 3, y = 2)

(x = 1, y = 4)

9 / 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 - 3m - 7)

(7m^2 - m - 7)

(7m^2 - 5m - 7)

10 / 25

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

(frac{5}{6})

(frac{10}{9})

(frac{5}{8})

(frac{10}{12})

11 / 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)

12 / 25

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

(x = -3)

(x = 2)

(x = 3)

(x = 6)

13 / 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 = 5)

(a = 3)

(a = 4)

14 / 25

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

(3x + 12)

(3x + 10)

(3x + 6)

(3x + 8)

15 / 25

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

((x + 1)^2)

((x + 2)^2)

((x + 4)^2)

((x + 3)^2)

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 = 0)

(x = 2)

(x = -1)

(x = 1)

17 / 25

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

(y = 4)

(y = 3)

(y = 6)

(y = 5)

18 / 25

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

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

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

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

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

19 / 25

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

(3a + 6)

(3a)

(3a - 6)

(3a + 2)

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 (2a^3 - 5a^2 + 3a^3 - a):ISimplify the expression (2a^3 - 5a^2 + 3a^3 - a):

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

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

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

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

22 / 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 = 2)

(x = 6)

(x = 4)

23 / 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 = 4)

(a = 2)

(a = -2)

(a = -4)

24 / 25

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

(frac{x}{2})

(frac{x}{6})

(frac{x}{8})

(frac{x}{4})

25 / 25

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

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

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

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

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

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