This is an analogy question where we need to find the relationship between the first pair of words and apply the same relationship to the second pair. The relationship is based on the characteristic movement of the animal.
D) Walk — Cows are large mammals that typically move by walking on four legs. 'Walk' describes their characteristic mode of locomotion, similar to how 'Crawl' describes the movement of beetles.
To find the area of a square, we first need to determine the length of its side. The perimeter of a square is given by the sum of the lengths of its four equal sides. Once the side length is known, the area can be calculated by squaring the side length.
Understand the formula for the perimeter of a square:
The perimeter \(P\) of a square with side length \(s\) is given by:
\[ P = 4s \]Use the given perimeter to find the side length:
We are given that the perimeter \(P = 20 \text{ cm}\). Substitute this value into the perimeter formula:
\[ 20 \text{ cm} = 4s \]Solve for the side length \(s\):
Divide both sides of the equation by 4:
\[ s = \frac{20 \text{ cm}}{4} \]\[ s = 5 \text{ cm} \]Understand the formula for the area of a square:
The area \(A\) of a square with side length \(s\) is given by:
\[ A = s^2 \]Calculate the area using the side length found:
Substitute the value of \(s = 5 \text{ cm}\) into the area formula:
\[ A = (5 \text{ cm})^2 \]\[ A = 25 \text{ cm}^2 \]Correct Option: C) 25 cm²
What is the value of 1 - \( \frac{5}{6} \)2?
\( \frac{1}{6} \)
\( \frac{11}{36} \)
\( \frac{1}{36} \)
\( \frac{4}{9} \)
To solve this problem, we need to follow the order of operations (BODMAS/PEMDAS). First, we evaluate the exponent, then perform the subtraction.
Correct Option: B) \( \frac{11}{36} \)
The question asks to identify the incorrect statement among the given options related to Buddhism and ancient Indian history. We need to evaluate each statement for its historical accuracy.
Based on the evaluation, statement C is the one that is not correct.
Correct Option: C) Charak was the personal physician of Gautam Buddha.
Which of the following options is 6th to the right of the 17th letter from the left in the English alphabet?
To solve this problem, we need to first identify the 17th letter from the left in the English alphabet. Then, from that letter, we count 6 positions to its right to find the final answer.
Correct Option: A) W is the 6th letter to the right of the 17th letter from the left in the English alphabet.
The question asks about the extent of National Highway 48 (NH 48) in India. To answer this, one needs to have knowledge of the major National Highways and their routes.
Correct Option: C) Delhi to Chennai. NH 48 is a major National Highway that connects Delhi to Chennai, passing through several states in western and southern India.
The question asks to identify the correct statement among the given options regarding the location of various power stations in India. This requires knowledge of the geographical distribution of major power projects.
D) Narora Atomic Power Station is in Uttar Pradesh. This statement is correct. The Narora Atomic Power Station (NAPS) is indeed located in Narora, Bulandshahr district, Uttar Pradesh, India.
The question asks to identify the satellite operated by the Indian Institute of Technology Kanpur (IIT Kanpur). This requires knowledge of specific Indian satellite missions and their developing organizations.
Correct Option: B) Jugnu — Jugnu was a nanosatellite developed by the Indian Institute of Technology Kanpur (IIT Kanpur) as a student project. It was launched by ISRO on October 12, 2011, aboard PSLV-C18.
The problem involves simple interest. We are given the amounts (Principal + Simple Interest) at two different time periods. We can use these two amounts to find the simple interest earned over the difference in time periods. Once the simple interest for a certain period is known, we can find the annual simple interest, the principal, and finally the rate of interest (x%).
The difference in time is \(11 - 6 = 5\) years. The difference in amounts is the simple interest earned during these 5 years.
\[ \text{Simple Interest for 5 years} = A_2 - A_1 = \text{₹}3,008 - \text{₹}2,368 = \text{₹}640 \]Since the simple interest for 5 years is ₹640, the simple interest for 1 year is:
\[ \text{Simple Interest for 1 year} = \frac{\text{₹}640}{5} = \text{₹}128 \]Using the annual simple interest, we can find the simple interest for 6 years:
\[ \text{Simple Interest for 6 years} = 6 \times \text{₹}128 = \text{₹}768 \]The amount after 6 years is \(P + \text{Simple Interest for 6 years}\). So,
\[ P = A_1 - \text{Simple Interest for 6 years} \]\[ P = \text{₹}2,368 - \text{₹}768 = \text{₹}1,600 \]The formula for simple interest is \(SI = \frac{P \times R \times T}{100}\). We know \(SI\) for 1 year is ₹128, \(P = \text{₹}1,600\), and \(T = 1\) year. Let \(R = x\).
\[ 128 = \frac{1600 \times x \times 1}{100} \]\[ 128 = 16 \times x \]\[ x = \frac{128}{16} \]\[ x = 8 \]A) The calculated rate of interest \(x\) is 8. Therefore, the value of x is 8.
Rohan had to travel from A to B. He covers 75% of the distance at a speed of 60 km/h and the remaining distance at a speed of 40 km/h. What was his average speed for the entire journey?
50 km/h
53 \( \frac{1}{3} \) km/h
55 km/h
54 \( \frac{2}{3} \) km/h
To find the average speed for the entire journey, we need to calculate the total distance traveled and the total time taken. The average speed is then the total distance divided by the total time. We can assume a total distance to simplify calculations, as the final average speed will be independent of the actual distance chosen.
Let the total distance from A to B be \(D\) km. For easier calculation, let's assume \(D = 400\) km (a multiple of 40 and 60, and 100 for percentage calculation).
Correct Option: B) 53 \( \frac{1}{3} \) km/h