The question asks for the specific number of "First Ladies" felicitated by President Ram Nath Kovind at Rashtrapati Bhavan. This is a factual question related to a specific event and requires knowledge of current affairs or historical events of that period.
Correct Option: B) 112
The question asks for the HCF (Highest Common Factor) of two co-prime numbers. To answer this, we need to understand the definitions of HCF and co-prime numbers.
D) 1. The HCF of two co-prime numbers is always 1, as they share no common factors other than 1.
The resistance of a conductor is determined by its physical dimensions, material properties, and temperature. We need to identify which of the given options does NOT influence the resistance.
Correct Option: C) Pressure
The resistance of a conductor is primarily determined by its length, area of cross-section, and the resistivity of its material. Pressure does not significantly affect the resistance under normal conditions.
\(\left(\cos^{2}\phi+\frac{1}{\operatorname{cosec}^{2}\phi}\right)\) + 17 = x. What is the value of x²?
The problem asks us to find the value of \(x^2\) given an equation involving trigonometric identities. We need to simplify the given trigonometric expression using fundamental identities and then solve for \(x\) and \(x^2\).
We know that \(\sin^2\phi + \cos^2\phi = 1\).
We also know that \(\operatorname{cosec}\phi = \frac{1}{\sin\phi}\). Therefore, \(\operatorname{cosec}^2\phi = \frac{1}{\sin^2\phi}\).
The given expression is \[\left(\cos^{2}\phi+\frac{1}{\operatorname{cosec}^{2}\phi}\right) + 17 = x\].
Substitute \[\frac{1}{\operatorname{cosec}^{2}\phi} = \sin^2\phi\] into the equation:
\[ \left(\cos^{2}\phi+\sin^{2}\phi\right) + 17 = x \]Using the identity \(\sin^2\phi + \cos^2\phi = 1\), the expression simplifies to:
\[ 1 + 17 = x \]We need to find the value of \(x^2\). So, we square the value of \(x\):
\[ x^2 = (18)^2 \] \[ x^2 = 324 \]Correct Option: B) 324
The question asks for the term that describes the force with which the Earth attracts a body towards itself. This is a fundamental concept in physics, specifically related to gravity.
Correct Option: D) Weight is the force with which the earth attracts a body towards itself. It is a vector quantity, acting downwards towards the center of the Earth.
Which of the option figure is the closest resemblance to the question figure?
Problem Figure:
Option Figures:
To determine which option figure most closely resembles the problem figure, we need to analyze the shapes and their arrangements in each diagram.
Correct Option: A) Option A is the closest resemblance to the problem figure due to the similar trapezoidal shape and symmetrical extensions.
The question asks for the theme of the 2016 Indian Film Festival of Melbourne (IFFM), specifically mentioning Sonam Kapoor's Best Actress Award for 'Neerja'. To answer this, one needs to recall the specific theme associated with that particular year's festival.
B) Female Empowerment — The 2016 Indian Film Festival of Melbourne (IFFM) indeed had "Female Empowerment" as its central theme. Sonam Kapoor's award-winning performance in 'Neerja' was a strong representation of this theme.
How many triangles are there in the following figure?
To find the total number of triangles in the given figure, we need to systematically count all possible triangles formed by the intersecting lines.
After counting carefully, the total number of triangles is found to be 27.
Correct Option: D) 27
The question asks to identify the Indian badminton player who secured his first Super Series title in Singapore in April 2017. This requires knowledge of specific achievements of prominent Indian badminton players around that period.
B. Sai Praneeth defeated his compatriot Kidambi Srikanth in an all-Indian final at the Singapore Open Super Series in April 2017. This victory marked Praneeth's first-ever Super Series title.
A) Sai Praneeth — B. Sai Praneeth won his maiden Super Series title at the Singapore Open in April 2017, defeating Kidambi Srikanth in the final.
You are given a question and two statements. Identify which of the statements is/are necessary/sufficient to answer the question.
Question:
What is the total weight of 20 cartons of vegetables? Each of them weighs equal.
Statements:
1) Of the first 10 boxes, one-third of each box weighs 10 kg.
2) The total weight of 6 boxes is 40 kg more than the total weight of 4 boxes.
Both Statements 1 and 2 alone are sufficient
Statement 2 alone is sufficient
Statement 1 alone is sufficient
Statement 1 and 2 are not sufficient
The problem asks for the total weight of 20 cartons of vegetables, given that each carton weighs equally. We need to determine if Statement 1, Statement 2, or both are sufficient to find the weight of one carton, and consequently, the total weight of 20 cartons.
Let \(W\) be the weight of one carton.
Statement 1 says: "Of the first 10 boxes, one-third of each box weighs 10 kg."
Statement 2 says: "The total weight of 6 boxes is 40 kg more than the total weight of 4 boxes."
Since both Statement 1 and Statement 2 individually provide enough information to determine the weight of one carton and thus the total weight of 20 cartons, each statement alone is sufficient.
A) Both Statements 1 and 2 alone are sufficient