Below are the first 5 questions from the UPSC NDA 2025 (NDA 1) 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 the sum of binomial coefficients in the expansion of (x + y)n is 256, then the greatest binomial coefficient occurs in which one of the following terms?

Question 2 of 5 UPSC Official PYQ

If k < ( 2+√1)3< 2+k, where k is a natural number, then what is the value of k?

Question 3 of 5 UPSC Official PYQ

then which one of the following is a value of x?

Question 4 of 5 UPSC Official PYQ

If A=Where x, y and z are integers, is an orthogonal matrix, then what is the value of x2 + y2 + z2?

Question 5 of 5 UPSC Official PYQ

Consider the following in respect of a non- singular matrix M:

 I. |M2| = |M|2

 II. |M| = |M–1|

llI. |M| = |MT|

How many of the above are correct?

Question 6 of 5 UPSC Official PYQ

If f(q) = then what is (f(p))2 equal to?

Question 7 of 5 UPSC Official PYQ

If A =then what is A2 – 4A equal to?

Question 8 of 5 UPSC Official PYQ

If the number of selections of r as well as (n + r) things from 5n different things are equal, then what is the value of r?

Question 9 of 5 UPSC Official PYQ

What is the number of selections of at most 3 things from 6 different things?

Question 10 of 5 UPSC Official PYQ

If A = where x, y and z are integers is an orthogonal matrix, then what is A2 equal to?

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The full NDA 2025 (NDA 1) 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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