(Mathematics) NDA/NA SOLVED PAPER 2023 – II (51 to 100)

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Total Questions: 50

21. What is a₁ + a₅ - a₁₀ - a₁₅ - a₂₀ - a₂₅ + a₃₀ + a₃₄ equal to?

Let a₁, a₂, a₃____be in AP such that
a₁ + a₅ + a₁₀ + a₁₅ + a₂₀ + a₂₅ + a₃₀ + a₃₄ = 300.

Correct Answer: (a) 0
Solution:

22. equal to?

Let a₁, a₂, a₃____be in AP such that
a₁ + a₅ + a₁₀ + a₁₅ + a₂₀ + a₂₅ + a₃₀ + a₃₄ = 300.

Correct Answer: (d) 1275
Solution:

23. What is the value of p + q?

Correct Answer: (c) 0
Solution:

24. What is the value of pq?

Correct Answer: (a) -1/16
Solution:

25. What is pq equal to?

Correct Answer: (d) -8/3
Solution:

26. For how many values of x does 1/p become zero?

Correct Answer: (c) Only two values
Solution:

27. What is a value of sin 3x + sin 3y?

Correct Answer: (b) 0
Solution:

28. What is a value of cos³x + cos³y?

Correct Answer: (b) 3√6/8
Solution:

29. What is the value of a + b + √2c equal to?

The angles A, B and C of a triangle ABC are in ration 3 : 5 : 4.

Correct Answer: (c) 3b
Solution:

30. What is the ratio of a² : b² : c²?

The angles A, B and C of a triangle ABC are in ration 3 : 5 : 4.

Correct Answer: (a) 2 : 2 + √3 : 3
Solution: