PYQ Vault
EbooksTutor

Day 328: NDA Maths

5 questions. Try each one first, then open its answer.

  1. Question 1

    Properties of Triangle. Asked once: NDA 1 2020

    29
    Consider the following statements: 1. If ABC is a right-angled triangle, right-angled at A and if sin⁡B=13\sin B=\frac{1}{3}, then csc⁡C=3\csc C=3. 2. If bcos⁡B=ccos⁡Cb\cos B=c\cos C and if the triangle ABC is not right-angled, then ABC must be isosceles. Which of the above statements is/are correct?

    Tap an option to check your answer.

  2. Question 2

    Quadratic Equations. Asked once: NDA 1 2022

    19
    If the roots of the equation x2−ax−bx−cx+bc+ca=0x^2-ax-bx-cx+bc+ca=0 are equal, then which one of the following is correct?

    Tap an option to check your answer.

  3. Question 3

    Sequence & Series. Asked once: NDA 2 2019

    8
    A geometric progression (GP) consists of 200 terms. If the sum of odd terms of the GP is mm, and the sum of even terms of the GP is nn, then what is its common ratio ?

    Tap an option to check your answer.

  4. Question 4

    Statistics. Asked once: NDA 1 2021

    106
    If MM is the mean of nn observations x1−k,x2−k,x3−k,…,xn−kx_1-k, x_2-k, x_3-k, \ldots, x_n-k, where kk is any real number, then what is the mean of x1,x2,x3,…,xnx_1, x_2, x_3, \ldots, x_n?

    Tap an option to check your answer.

  5. Question 5

    Trigonometric Equations. Asked once: NDA 1 2018

    47
    If sin⁡α+sin⁡β=0=cos⁡α+cos⁡β\sin\alpha + \sin\beta = 0 = \cos\alpha + \cos\beta, where 0<β<α<2π0 < \beta < \alpha < 2\pi, then which is correct?

    Tap an option to check your answer.