Binomial Theorem (Algebra, Teaching Exam)

Total Questions: 75

51. The coefficient of the middle term in the expansion of (1+3x+3x²+x³)⁸ in powers of x is [UP PGT-2016 (02-02-2019)]

Correct Answer: (d) ²⁴C₁₂
Solution:

52. Solve the following equation? [DSSSB 23 SEP 2018 (9 AM-11 AM)]

Correct Answer: (c) 78133
Solution:


53. The total number of terms in the expansion of (x+a)⁵¹-(x- a)⁵¹ after simplification is- [SECTION B PGT TIER-I 31.11.2014]

Correct Answer: (c) 26
Solution:


54. The sum of ⁿ⁺¹c₁+ⁿ⁺¹c₂+......+ⁿ⁺¹cₙ₊₁ is equal to: [JDD-75-PGT TIER II-X-15 28.06.2015]

Correct Answer: (b) 2ⁿ⁺¹-1
Solution:

55. Solve the following equation? [JDD-75-PGT TIER II-X-15 28.06.2015, TGT 2011]

Correct Answer: (b) 55
Solution:

56. Solve the following equation? [PGT 2011]

Correct Answer: (a) 405/256
Solution:

57. If ²⁰Cᵣ₊₁= ²⁰Cᵣ₋₁ then the value of r is: [PGT 2011]

Correct Answer: (a) 10
Solution:

58. Solve the following equation? [PGT 2011]

Correct Answer: (c) x
Solution:

59. The coefficient of x⁵ in the expansion of (1+x²)⁵ (1+x)⁴ is [PGT 2010]

Correct Answer: (b) 60
Solution:

60. The sum of coefficients of the polynomial (1+х-3x²)¹⁵ is [PGT 2010]

Correct Answer: (a) -1
Solution: