SubQuestion No: 3
The difference between people who prefer taxi to own car is?
The problem asks for the difference between the number of people who prefer a taxi and the number of people who prefer their own car. We need to extract these values from the provided data (presumably a bar graph or table, though not explicitly shown, the numbers are implied by the options and question context) and then calculate their difference.
Difference = (Number of people who prefer taxi) - (Number of people who prefer own car)
Difference = \(35 - 30 = 5\)
Therefore, the difference between people who prefer taxi to own car is 5.
Correct Option: A) 5
The question asks to identify the leader of the Salt Satyagraha in Tamil Nadu. This requires knowledge of key figures in the Indian independence movement, specifically their roles in regional protests during the Civil Disobedience Movement.
Correct Option: A) C. Rajagopalachari led the Salt Satyagraha in Tamil Nadu. He organized the famous Vedaranyam Salt March in April 1930, walking from Tiruchirappalli to Vedaranyam on the Tanjore coast to defy the salt laws.
This question tests the understanding of material properties and their application in everyday devices, specifically the incandescent light bulb. We need to evaluate both the assertion and the reason independently, and then determine if the reason correctly explains the assertion.
Correct Option: A) Both A and R are true and R is the correct explanation of A
The assertion that tungsten filaments are used in light bulbs is true. The reason that tungsten has a high melting point is also true. Furthermore, the high melting point is the primary characteristic that enables tungsten to be used as a filament in light bulbs, as it allows the filament to reach incandescence without melting. Thus, R correctly explains A.
The question asks to identify the action that the Esc key on a Windows keyboard is NOT used for. We need to evaluate each option based on the common functionalities of the Esc key in a Windows environment.
Correct Option: B) Run a selected command
Rs. 3,105 is due to be divided among K, L and M in the proportion of \( \frac{2}{3} \) : \( \frac{3}{4} \) : \( \frac{1}{2} \) respectively. How much will L get?
To divide the total amount according to the given fractional ratio, first convert the fractional ratio into a simple whole number ratio by finding the Least Common Multiple (LCM) of the denominators. Then, calculate each person's share based on this simplified ratio.
Identify the given ratio:
The amounts are to be divided among K, L, and M in the proportion of \[\frac{2}{3} : \frac{3}{4} : \frac{1}{2}\].
Find the LCM of the denominators:
The denominators are 3, 4, and 2. The LCM of 3, 4, and 2 is 12.
Convert the fractional ratio to a whole number ratio:
Multiply each fraction in the ratio by the LCM (12):
So, the simplified ratio K : L : M is \( 8 : 9 : 6 \).
Calculate the sum of the ratio parts:
Sum of ratio parts \( = 8 + 9 + 6 = 23 \).
Determine L's share:
The total amount to be divided is Rs. 3,105.
L's share is \[\frac{\text{L's ratio part}}{\text{Sum of ratio parts}} \times \text{Total amount}\].
\[ \text{L's share} = \frac{9}{23} \times 3105 \]\[ \text{L's share} = 9 \times \frac{3105}{23} \]\[ \text{L's share} = 9 \times 135 \]\[ \text{L's share} = 1215 \]C) Rs. 1,215 is the correct amount L will receive.
This is a coding-decoding problem where words are assigned specific codes. We need to find the code for the word 'you' by comparing the given statements and identifying common words and their corresponding common codes.
D) 'da' is the code for 'you', as determined by comparing the common words and codes across the given statements.
This problem can be solved using a fundamental algebraic identity: the square of a difference. We are given the values of \(a-b\) and \(a^2+b^2\), and we need to find the value of \(ab\). We can use the identity \((a-b)^2 = a^2 - 2ab + b^2\) to establish a relationship between the given values and the unknown \(ab\).
Recall the algebraic identity for the square of a difference:
\[ (a-b)^2 = a^2 - 2ab + b^2 \]Rearrange the identity to isolate the term \(2ab\):
\[ (a-b)^2 = (a^2 + b^2) - 2ab \]\[ 2ab = (a^2 + b^2) - (a-b)^2 \]Substitute the given values into the rearranged identity. We are given:
So, substitute these into the equation for \(2ab\):
\[ 2ab = 97 - (5)^2 \]Calculate the value:
\[ 2ab = 97 - 25 \]\[ 2ab = 72 \]Finally, solve for \(ab\):
\[ ab = \frac{72}{2} \]\[ ab = 36 \]C) 36 is the correct answer. By applying the algebraic identity \((a-b)^2 = a^2 - 2ab + b^2\) and substituting the given values, we find that \(ab = 36\).
This is a coding-decoding type of question where letters are assigned numerical values. We need to identify the pattern used to convert the words "CAR" and "BUS" into their respective numerical values and then apply the same pattern to find the value for "TRAM". The most common pattern involves assigning numerical values to letters based on their position in the English alphabet (A=1, B=2, C=3, ..., Z=26).
First, let's assign the standard alphabetical positions to each letter in the given words:
For CAR = 22:
If we sum these values: \(3 + 1 + 18 = 22\). This matches the given value for CAR.
For BUS = 42:
If we sum these values: \(2 + 21 + 19 = 42\). This also matches the given value for BUS.
The pattern is to sum the alphabetical positions of all letters in the word. Now, let's apply this to TRAM:
Summing these values: \(20 + 18 + 1 + 13 = 52\).
Therefore, TRAM = 52.
B) 52 is the correct answer, derived by summing the alphabetical positions of the letters in TRAM.
This problem involves the distribution of profit in a partnership. The profit share of each partner is directly proportional to the product of their investment and the time period for which the investment was made. We need to calculate the ratio of the (investment \(\times\) time) for each partner and then distribute the total profit according to this ratio.
Correct Option: D) Rs. 8,000