1
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language

If $p ^ x = q ^ y = r ^ z$ where x, y and z are in GP, then consider the following statements:

I. p, q and rare in AP.

II. In p, In q and Inrare in GP.

Which of the statements given above is/are correct?

1
I only
2
II only
3
Both I and II
4
Neither I nor II
2
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language

If A and B are non-empty subsets of a set, and $A ^ c$ and $ B ^ c$ represent their complements, then which of the following is/are correct?

I. A - B = $B ^ c - A ^ c$

II. $A - B ^ c = A ^ c - B$

Select the answer using the code given below.

1
I only
2
II only
3
Both I and II
4
 Neither I nor II
3
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
Let y=x! and z = (2x)! If (z / y) = 120 then what is the value of (3x)!?
1
362880
2
181440
3
90720
4
45360
4
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
Let n be a natural number. The number of consecutive zeros at the end of the expansion of n! is exactly 2. How many values of n are possible?
1
3
2
4
3
5
4
More than 5