क्या आप UP TGT Mathematics परीक्षा की तैयारी की शुरुआत कर रहे हैं? किसी भी प्रतियोगी परीक्षा में सफलता पाने के लिए सबसे पहले बेसिक और आसान स्तर (Easy Level) के प्रश्नों पर पकड़ मजबूत करना बेहद जरूरी है। आपकी इसी शुरुआत को आसान बनाने के लिए, हम लेकर आए हैं UP TGT Math Mock Test 1 (Easy Level)। इस क्वेश्चन फॉर्मेट में हमने परीक्षा के पाठ्यक्रम पर आधारित 90 चुनिंदा और महत्वपूर्ण प्रश्न शामिल किए हैं, साथ में उनके विस्तृत हल (Solutions) भी दिए गए हैं। इन प्रश्नों को पढ़कर आप अपने कॉन्फिडेंस को बढ़ा सकते हैं और परीक्षा के पैटर्न को समझ सकते हैं। आइए, बिना किसी देरी के इस पहले टेस्ट सेट को पढ़ना शुरू करें!
📝 Questions (1-90)
Q1. If α and β are roots of the equation x² - 5x + 6 = 0, then the value of α + β is:
(a) 5
(b) -5
(c) 6
(d) -6
Q2. The HCF of polynomials x² - 4 and x² - 5x + 6 is:
(a) x - 2
(b) x + 2
(c) x - 3
(d) x + 3
Q3. The value of determinant | 1 2 | | 3 4 | is:
(a) -2
(b) 2
(c) 0
(d) 4
Q4. If A = | 1 2 | | 3 4 |, then A² is:
(a) | 7 10 | | 15 22 |
(b) | 1 0 | | 0 1 |
(c) | 0 0 | | 0 0 |
(d) | 1 2 | | 3 4 |
Q5. The solution of equations 2x + y = 5 and x - y = 1 is:
(a) (2, 1)
(b) (1, 2)
(c) (3, -1)
(d) (-1, 3)
Q6. The 10th term of AP: 2, 5, 8, 11, ... is:
(a) 29
(b) 26
(c) 32
(d) 23
Q7. The sum of first 10 natural numbers is:
(a) 55
(b) 45
(c) 50
(d) 60
Q8. The value of √4 × √9 is:
(a) 6
(b) 12
(c) 3
(d) 9
Q9. If log₁₀ 2 = 0.3010, then log₁₀ 4 is:
(a) 0.6020
(b) 0.9030
(c) 0.3010
(d) 1.2040
Q10. In how many ways can the letters of the word "CAT" be arranged?
(a) 6
(b) 3
(c) 9
(d) 12
Q11. The coefficient of x in the expansion of (1 + x)⁴ is:
(a) 4
(b) 6
(c) 1
(d) 2
Q12. A man completes 1/4 work in 2 hours. Total time to complete work is:
(a) 8 hours
(b) 6 hours
(c) 10 hours
(d) 4 hours
Q13. Simple interest on ₹1000 for 3 years at 5% per annum is:
(a) ₹150
(b) ₹100
(c) ₹200
(d) ₹50
Q14. Compound interest on ₹1000 for 2 years at 10% per annum is:
(a) ₹210
(b) ₹200
(c) ₹100
(d) ₹300
Q15. If CP = ₹500 and SP = ₹600, profit percentage is:
(a) 20%
(b) 25%
(c) 15%
(d) 10%
Q16. The distance between points (2, 3) and (5, 7) is:
(a) 5
(b) 4
(c) 6
(d) 7
Q17. The midpoint of (4, -2) and (-2, 6) is:
(a) (1, 2)
(b) (2, 4)
(c) (1, 4)
(d) (2, 2)
Q18. The slope of line through (1, 2) and (3, 6) is:
(a) 2
(b) 3
(c) 4
(d) 1
Q19. The area of triangle with vertices (0,0), (4,0), (0,3) is:
(a) 6
(b) 12
(c) 3
(d) 8
Q20. The equation of circle with center (0,0) and radius 5 is:
(a) x² + y² = 25
(b) x² + y² = 5
(c) x² + y² = 10
(d) x² + y² = 50
Q21. If sin θ = 3/5, then cos θ is:
(a) 4/5
(b) 3/5
(c) 5/4
(d) 5/3
Q22. The value of sin 30° is:
(a) 1/2
(b) √3/2
(c) 1/√2
(d) 1
Q23. The value of cos 60° is:
(a) 1/2
(b) √3/2
(c) 1/√2
(d) 0
Q24. The derivative of x³ is:
(a) 3x²
(b) 3x³
(c) x²
(d) 2x²
Q25. The derivative of sin x is:
(a) cos x
(b) -cos x
(c) sin x
(d) -sin x
Q26. The slope of tangent to y = x² at x = 1 is:
(a) 2
(b) 1
(c) 0
(d) 3
Q27. The integral ∫ x² dx is:
(a) x³/3 + C
(b) x³ + C
(c) x² + C
(d) x⁴/4 + C
Q28. The integral ∫ 2x dx is:
(a) x² + C
(b) 2x² + C
(c) x²/2 + C
(d) 2x + C
Q29. The value of ∫₀¹ x dx is:
(a) 1/2
(b) 1
(c) 0
(d) 2
Q30. The order of differential equation dy/dx = 2x is:
(a) 1
(b) 2
(c) 3
(d) 0
Q31. The mean of 2, 4, 6, 8, 10 is:
(a) 6
(b) 7
(c) 5
(d) 8
Q32. The median of 3, 5, 7, 9, 11 is:
(a) 7
(b) 5
(c) 9
(d) 8
Q33. The probability of getting head in a single coin toss is:
(a) 1/2
(b) 1/3
(c) 1/4
(d) 2/3
Q34. The probability of drawing a king from 52 cards is:
(a) 1/13
(b) 4/13
(c) 1/52
(d) 1/4
Q35. If A = {1, 2, 3} and B = {2, 3, 4}, then A∪B is:
(a) {1, 2, 3, 4}
(b) {2, 3}
(c) {1, 4}
(d) {1, 2, 3}
Q36. The number of elements in power set of {1, 2} is:
(a) 4
(b) 2
(c) 3
(d) 6
Q37. The identity element for addition is:
(a) 0
(b) 1
(c) -1
(d) Does not exist
Q38. The limit of 1/n as n → ∞ is:
(a) 0
(b) 1
(c) ∞
(d) -∞
Q39. The limit of (sin x)/x as x → 0 is:
(a) 1
(b) 0
(c) ∞
(d) -1
Q40. The function f(x) = |x| is continuous at x = 0.
(a) True
(b) False
(c) Neither
(d) Depends on domain
Q41. The magnitude of vector 3i + 4j is:
(a) 5
(b) 7
(c) 25
(d) 12
Q42. The dot product of (1, 2) and (2, 1) is:
(a) 4
(b) 3
(c) 5
(d) 6
Q43. The vector perpendicular to i + j and i - j is:
(a) k
(b) -k
(c) i + j
(d) i - j
Q44. The sum of interior angles of a triangle is:
(a) 180°
(b) 360°
(c) 90°
(d) 270°
Q45. The number of diagonals in a quadrilateral is:
(a) 2
(b) 1
(c) 3
(d) 4
Q46. If sin x = 1/2 and x is acute, then x is:
(a) 30°
(b) 45°
(c) 60°
(d) 90°
Q47. The value of tan 45° is:
(a) 1
(b) 0
(c) ∞
(d) √3
Q48. If z = 1 + i, then |z| is:
(a) √2
(b) 2
(c) 1
(d) 0
Q49. The value of i² is:
(a) -1
(b) 1
(c) 0
(d) i
Q50. The HCF of 12 and 18 is:
(a) 6
(b) 3
(c) 2
(d) 4
Q51. The LCM of 4 and 6 is:
(a) 12
(b) 24
(c) 6
(d) 8
Q52. The value of 2³ + 3² is:
(a) 17
(b) 13
(c) 15
(d) 11
Q53. The number of prime numbers between 1 and 10 is:
(a) 4
(b) 3
(c) 5
(d) 6
Q54. The value of √16 + √9 is:
(a) 7
(b) 5
(c) 6
(d) 8
Q55. The sum of first 5 odd numbers is:
(a) 25
(b) 15
(c) 20
(d) 30
Q56. The value of sin 0° is:
(a) 0
(b) 1
(c) 1/2
(d) √3/2
Q57. The value of cos 0° is:
(a) 1
(b) 0
(c) 1/2
(d) √3/2
Q58. The derivative of 2x is:
(a) 2
(b) 2x
(c) x²
(d) 1
Q59. The integral ∫ 1 dx is:
(a) x + C
(b) 0
(c) 1
(d) x²/2 + C
Q60. The probability of getting an even number on a die is:
(a) 1/2
(b) 1/3
(c) 1/6
(d) 2/3
Q61. The probability of getting sum 7 when two dice are thrown is:
(a) 1/6
(b) 1/12
(c) 5/36
(d) 1/9
Q62. The mean of first 5 natural numbers is:
(a) 3
(b) 2.5
(c) 4
(d) 5
Q63. The median of 2, 4, 6, 8, 10 is:
(a) 6
(b) 5
(c) 7
(d) 8
Q64. The mode of 1, 2, 2, 3, 3, 3, 4 is:
(a) 3
(b) 2
(c) 1
(d) 4
Q65. The distance between (0,0) and (3,4) is:
(a) 5
(b) 4
(c) 3
(d) 7
Q66. The midpoint of (0,0) and (4,6) is:
(a) (2, 3)
(b) (4, 6)
(c) (0, 0)
(d) (1, 2)
Q67. The slope of line through (0,0) and (2,4) is:
(a) 2
(b) 4
(c) 1
(d) 0
Q68. The area of rectangle with length 5 and breadth 3 is:
(a) 15
(b) 8
(c) 10
(d) 16
Q69. The perimeter of square with side 4 is:
(a) 16
(b) 8
(c) 12
(d) 20
Q70. The volume of cube with side 3 is:
(a) 27
(b) 9
(c) 18
(d) 36
Q71. The sum of angles of a quadrilateral is:
(a) 360°
(b) 180°
(c) 540°
(d) 270°
Q72. The number of sides in a pentagon is:
(a) 5
(b) 4
(c) 6
(d) 8
Q73. The value of sin 90° is:
(a) 1
(b) 0
(c) 1/2
(d) √3/2
Q74. The value of cos 90° is:
(a) 0
(b) 1
(c) 1/2
(d) √3/2
Q75. If z = 2 + 3i, then |z| is:
(a) √13
(b) 5
(c) 13
(d) √5
Q76. The value of (1 + i)² is:
(a) 2i
(b) 2
(c) 0
(d) -2i
Q77. The HCF of 24 and 36 is:
(a) 12
(b) 6
(c) 8
(d) 4
Q78. The LCM of 3 and 5 is:
(a) 15
(b) 8
(c) 10
(d) 20
Q79. The value of 4! is:
(a) 24
(b) 12
(c) 6
(d) 48
Q80. The value of 5C₂ is:
(a) 10
(b) 20
(c) 5
(d) 15
Q81. The value of 5P₂ is:
(a) 20
(b) 10
(c) 30
(d) 5
Q82. The derivative of x² is:
(a) 2x
(b) x²
(c) 2
(d) x
Q83. The integral ∫ x dx is:
(a) x²/2 + C
(b) x² + C
(c) 2x + C
(d) x + C
Q84. The value of ∫₀¹ 1 dx is:
(a) 1
(b) 0
(c) 2
(d) 1/2
Q85. The order of differential equation d²y/dx² + dy/dx = 0 is:
(a) 2
(b) 1
(c) 3
(d) 0
Q86. The probability of getting a prime number on a die is:
(a) 1/2
(b) 1/3
(c) 2/3
(d) 1/6
Q87. The variance of 2, 2, 2, 2, 2 is:
(a) 0
(b) 2
(c) 4
(d) 1
Q88. The mean of 10, 20, 30, 40, 50 is:
(a) 30
(b) 20
(c) 40
(d) 25
Q89. The median of 1, 3, 5, 7, 9 is:
(a) 5
(b) 3
(c) 7
(d) 6
Q90. The sum of roots of equation x² - 5x + 6 = 0 is:
(a) 5
(b) 6
(c) -5
(d) -6
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