Below are the first 5 questions from the UPSC NDA 2023 (NDA 2) Mathematics paper. Practice each question below, check your answers, and read the step-by-step explanations written by our subject matter experts.

Question 1 of 5 UPSC Official PYQ

If z z̄ = |z + z̄|,

where z = x + iy and i = √(−1),

then the locus of z is a pair of:

Question 2 of 5 UPSC Official PYQ

If 1 ! + 3! + 5! + 7! + ,… + 199! is divided by 24,what is the remainder?

Question 3 of 5 UPSC Official PYQ

What is the value of

√(12 + 5i) + √(12 − 5i),

where i = √(−1) ?

Question 4 of 5 UPSC Official PYQ

Question 5 of 5 UPSC Official PYQ

If A, B and C are square matrices of order 3 and

det(BC) = 2 det(A),

then what is the value of

det(2A⁻¹BC) ?

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The full NDA 2023 (NDA 2) Mathematics PYQ paper contains 120 questions. Practice all of them with timers, performance analytics, and immediate explanations on the SenaPrep App.

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