This is a blood relation question. To solve such problems, we break down the relationship described into smaller, more manageable parts, starting from the end of the statement and working backward to establish the connection between the two individuals.
C) Paternal Aunt — As derived, Meena is Sharad's father's sister, which makes her Sharad's paternal aunt.
The length of a diagonal in cm of a rectangle of length 9 cm and width 6 cm is:
3\(\sqrt{13}\)
±3\(\sqrt{13}\)
3\(\sqrt{5}\)
±3\(\sqrt{5}\)
To find the length of the diagonal of a rectangle, we can use the Pythagorean theorem. A rectangle's diagonal divides it into two right-angled triangles, where the length and width of the rectangle serve as the two legs (perpendicular sides) of the right triangle, and the diagonal is the hypotenuse.
The length of the rectangle is \(L = 9 \text{ cm}\).
The width of the rectangle is \(W = 6 \text{ cm}\).
For a right-angled triangle, the Pythagorean theorem states that the square of the hypotenuse (diagonal, \(D\)) is equal to the sum of the squares of the other two sides (length and width).
\[ D^2 = L^2 + W^2 \]To find \(D\), take the square root of both sides:
\[ D = \sqrt{117 \text{ cm}^2} \]Find the prime factorization of 117 to simplify the square root.
\[ 117 = 9 \times 13 \]\[ D = \sqrt{9 \times 13} \text{ cm} \]\[ D = \sqrt{9} \times \sqrt{13} \text{ cm} \]\[ D = 3\sqrt{13} \text{ cm} \]Since the diagonal represents a physical length, it must be a positive value. Therefore, we only consider the positive square root.
Correct Option: A) \(3\sqrt{13}\)
The calculated length of the diagonal is \(3\sqrt{13} \text{ cm}\), which corresponds to option A.
The question asks to identify which option is NOT a result of global environmental degradation. We need to evaluate each option to determine if it is a consequence of environmental degradation.
D) Landfills — Landfills are a method of waste disposal and a source of environmental problems if not managed properly. They are a consequence of human activity and waste generation, which can *contribute* to environmental degradation, but they are not a direct *result* or *outcome* of environmental degradation itself in the same way that biodiversity loss or increased CO\(_2\) are.
To solve this problem, we need to first convert all time durations into a single unit (seconds). Then, we can find the cost per second and use it to calculate the cost for the new duration.
The initial duration is 3 minutes 30 seconds.
\[ 3 \text{ minutes} = 3 \times 60 \text{ seconds} = 180 \text{ seconds} \]\[ \text{Total initial duration} = 180 \text{ seconds} + 30 \text{ seconds} = 210 \text{ seconds} \]The cost for 210 seconds is Rs 10.
\[ \text{Cost per second} = \frac{\text{Total Cost}}{\text{Total Duration}} = \frac{10 \text{ Rs}}{210 \text{ seconds}} \]The new duration is 4 minutes 10 seconds.
\[ 4 \text{ minutes} = 4 \times 60 \text{ seconds} = 240 \text{ seconds} \]\[ \text{Total new duration} = 240 \text{ seconds} + 10 \text{ seconds} = 250 \text{ seconds} \]Multiply the cost per second by the total new duration.
\[ \text{Cost for 250 seconds} = \text{Cost per second} \times 250 \text{ seconds} \]\[ \text{Cost for 250 seconds} = \frac{10}{210} \times 250 \]\[ \text{Cost for 250 seconds} = \frac{10 \times 25}{21} = \frac{250}{21} \]A) 11.9 — The calculated cost for 4 minutes 10 seconds, rounded to one decimal place, is Rs 11.9.
The question asks for the location of the Satish Dhawan Space Centre (SDSC). This is a factual question related to India's space program and its infrastructure. Knowledge of major scientific institutions and their geographical locations is important for competitive exams.
Correct Option: C) Andhra Pradesh
The question asks about the technology used for "bloodless surgery." This refers to surgical techniques that minimize or eliminate bleeding during an operation. We need to identify which of the given options is primarily associated with achieving this goal.
A) Lasers are widely used in modern surgery for their precision and ability to cut and coagulate tissue simultaneously. This property minimizes blood loss, making procedures often referred to as "bloodless surgery."
The problem requires us to perform a series of division operations. We need to follow the order of operations from left to right. First, divide 35968 by 562, and then divide the result by 8.
To simplify, we can try to estimate. \(500 \times 70 = 35000\). So the quotient should be around 70. Let's try multiplying 562 by 60 or 70.
\(562 \times 60 = 33720\)
\(562 \times 70 = 39340\)
Since 35968 is between 33720 and 39340, the quotient will be between 60 and 70. Let's try 64:
\(562 \times 64 = 35968\)
So, \(35968 \div 562 = 64\).
\(64 \div 8 = 8\).
C) 8 is the correct answer, as calculated through the step-by-step division.
This problem involves calculating time taken for different modes of travel. We are given two scenarios: walking one way and riding back, and walking both ways. We need to find the time taken to ride both ways. We can set up equations based on the given information and solve for the unknown times.
Correct Option: A) 7 hrs 18 min
Answer the next 3 Questions.
Comprehension:
The table below represents the distance (in km) travelled by six trucks on six different days of the week. Read the table and answer the questions based on it.
| Day | Truck | |||||
| P | Q | R | S | T | U | |
| Monday | 240 | 250 | 320 | 325 | 330 | 300 |
| Tuesday | 320 | 264 | 308 | 314 | 318 | 314 |
| Wednesday | 324 | 294 | 330 | 312 | 310 | 325 |
| Thursday | 288 | 300 | 310 | 278 | 260 | 275 |
| Friday | 366 | 302 | 288 | 292 | 270 | 268 |
| Saturday | 292 | 284 | 260 | 274 | 280 | 242 |
SubQuestion No: 1
If to travel the given distance, the time taken by Truck Q on Friday was 8 hours, then what was its average speed on that day?
To find the average speed of Truck Q on Friday, we need to determine the distance it traveled on Friday from the given table and use the provided time taken. The formula for average speed is given by:
\[ \text{Average Speed} = \frac{\text{Total Distance Traveled}}{\text{Total Time Taken}} \]We will extract the distance for Truck Q on Friday from the table and use the given time of 8 hours to calculate the speed.
A) 37.75 km/hr is the correct average speed calculated from the given distance and time.
SubQuestion No: 2
What is the average distance travelled by Truck S on all the days together?
To find the average distance travelled by Truck S on all days together, we need to sum the distances travelled by Truck S on each day and then divide by the total number of days.
B) \( \frac{1795}{6} \) km — The total distance travelled by Truck S over all 6 days is 1795 km. Dividing this by 6 days gives the average distance of \( \frac{1795}{6} \) km.