Day 226: NDA Maths

5 questions (6 parts). Try each one first, then open its answer.

Question 1
Definite Integration. Asked once: NDA 1 2021 (same type asked 6 times)
80 $\int_0^a[f(x)+f(-x)]\,dx=\int_{-a}^a g(x)\,dx$
Tap an option to check your answer.
Question 2 (case study, 2 parts)
Matrices & Determinants. Asked once: NDA 1 2019 (same type asked 6 times)
Consider the following for the next 02 (two) items: Let A and B be (3×3) matrices with det A = 4 and det B = 3.
27 $\det(2AB)$
Tap an option to check your answer.
28 $\det(3AB^{-1})$
Tap an option to check your answer.
Question 3
Sequence & Series. Asked once: NDA 1 2021 (same type asked 6 times)
48 $If the first term of an AP is 2 and the sum of the first five terms is equal to one-fourth of the sum of the next five terms, then what is the sum of the first ten terms?$
Tap an option to check your answer.
Question 4
Statistics. Asked once: NDA 2 2025 (same type asked 6 times)
115 $The standard deviation of 100 observations is 10. If 20 is added to each observation, then what will be the new standard deviation?$
Tap an option to check your answer.
Question 5
3D Geometry. Asked once: NDA 1 2019 (same type asked 6 times)
62 $x^2+y^2+z^2-6x+8y-10z+1=0$
Tap an option to check your answer.

Question 1