The problem is a coding-decoding question where letters are assigned specific numerical codes. We need to identify the pattern of coding from the given examples and then apply the same pattern to decode the target word.
Thus, SIREN is coded as 83427.
D) 83427 is the correct code for SIREN based on the established pattern.
Which of the following is not true about Frictional force?
Friction is the force which opposes the relative motion of two surfaces in contact.
The force of friction that acts when a body is moving on a surface is called sliding friction.
Friction in machines wastes energy and also causes wear and tear.
Rolling friction is much more than sliding friction, use of ball bearings considerably reduces friction.
The question asks to identify the statement that is NOT true about frictional force. We need to evaluate each option based on the fundamental principles and characteristics of friction.
Correct Option: D) Rolling friction is much more than sliding friction, use of ball bearings considerably reduces friction.
This statement is incorrect because rolling friction is actually much less than sliding friction. Ball bearings are indeed used to reduce friction by converting sliding motion into rolling motion, but the premise that rolling friction is greater than sliding friction is false.
The question asks for the year in which Ole Rømer made the first measurement of the speed of light. This is a historical fact related to the development of physics and astronomy. We need to identify the correct year from the given options.
B) 1676 — Ole Rømer presented his groundbreaking work on the finite speed of light, based on observations of Jupiter's moon Io, in 1676. This marked the first time in history that the speed of light was measured.
Calculate the simple interest if Rs. 1,800 is invested for 10 years at a rate of 5% per annum.
To calculate the simple interest, we use the standard formula for simple interest, which involves the principal amount, the rate of interest per annum, and the time period in years.
The formula for simple interest is:
\[ \text{SI} = \frac{P \times R \times T}{100} \]Substitute the given values of \(P\), \(R\), and \(T\) into the formula:
\[ \text{SI} = \frac{1800 \times 5 \times 10}{100} \]Perform the multiplication and division:
\[ \text{SI} = \frac{1800 \times 50}{100} \]\[ \text{SI} = \frac{90000}{100} \]\[ \text{SI} = 900 \]The simple interest is Rs. 900.
Correct Option: A) Rs. 900
The question asks for the headquarters of the Indira Gandhi National Centre for the Arts (IGNCA). This is a factual question requiring knowledge of the locations of prominent cultural institutions in India.
Correct Option: A) New Delhi
To find the greatest four-digit number that leaves a remainder of 2 when divided by 8, 12, and 16, we first need to find the Least Common Multiple (LCM) of 8, 12, and 16. Then, we find the greatest four-digit multiple of this LCM and add the remainder 2 to it.
Find the LCM of 8, 12, and 16:
Prime factorization of each number:
The LCM is the product of the highest powers of all prime factors involved:
\[ \text{LCM}(8, 12, 16) = 2^4 \times 3^1 = 16 \times 3 = 48 \]Find the greatest four-digit number:
The greatest four-digit number is 9999.
Divide the greatest four-digit number by the LCM:
Divide 9999 by 48 to find the largest multiple of 48 less than or equal to 9999.
\[ 9999 \div 48 \]\[ 9999 = 48 \times 208 + 15 \]Here, 208 is the quotient and 15 is the remainder.Find the greatest four-digit multiple of the LCM:
Subtract the remainder from 9999 to get the largest multiple of 48:
\[ 9999 - 15 = 9984 \]This is the greatest four-digit number exactly divisible by 8, 12, and 16.Add the required remainder:
Since the number must leave a remainder of 2 in each case, add 2 to the multiple found in the previous step:
\[ 9984 + 2 = 9986 \]Thus, 9986 is the greatest four-digit number that leaves a remainder of 2 when divided by 8, 12, and 16.
C) 9986 is the correct answer as determined by the step-by-step calculation.
The question asks about the formation location of the Indian Independence League in 1907. This requires knowledge of historical organizations and their origins, specifically those formed by Indian nationalists abroad.
C) California — The Indian Independence League was founded in California in 1907 by Lala Hardayal and other Indian nationalists. This was a significant early organization aiming for India's complete independence from British rule, primarily operating from the United States.
To find the rate of compound interest, we will use the compound interest formula. We are given the principal amount, the final amount, and the time period. We need to solve for the rate of interest.
The formula for compound interest is:
\[ A = P \left(1 + \frac{r}{100}\right)^n \]Divide both numerator and denominator by 5:
\[ \frac{134}{61} = \left(1 + \frac{r}{100}\right)^3 \]Calculating the value of \(\frac{134}{61}\):
\[ \frac{134}{61} \approx 2.1967 \]We need to find a value \(x\) such that \(x^3 \approx 2.1967\). Let's test the options or recognize common cube roots.
We know that \((1.3)^3 = 2.197\). This is very close to 2.1967.
So, we can write:
\[ \left(1 + \frac{r}{100}\right)^3 \approx (1.3)^3 \]Taking the cube root on both sides:
\[ 1 + \frac{r}{100} \approx 1.3 \]\[ \frac{r}{100} \approx 1.3 - 1 \]\[ \frac{r}{100} \approx 0.3 \]\[ r \approx 0.3 \times 100 \]\[ r \approx 30\% \]A) 30% is the calculated rate of compound interest, which perfectly matches our approximation.
The question asks to identify the Chinese player whom Pankaj Advani defeated to win his 13th World title in the World 6-Red Snooker Championship. This is a factual question related to sports achievements and requires knowledge of specific event outcomes.
Pankaj Advani won his 13th World title by defeating Yan Bingtao of China in the final of the 2014 IBSF World 6-Red Snooker Championship. This victory marked a significant milestone in his illustrious career.
C) Yan Bingtao — Pankaj Advani defeated Yan Bingtao of China in the final of the 2014 IBSF World 6-Red Snooker Championship to clinch his 13th World title.
The question asks about the pH value of acid rain. To answer this, we need to recall the definition of acid rain and the pH scale.
A) 5.5 or less — This is the widely accepted pH range for acid rain. Normal rain has a pH of about 5.6 due to dissolved carbon dioxide. When the pH drops below this, typically to 5.5 or lower, it is considered acid rain, primarily due to the presence of stronger acids like sulfuric and nitric acids.