To find the total amount Deksha will pay, we need to calculate the simple interest accrued over 4 years and then add it to the principal amount she borrowed. The formula for simple interest is Principal \(\times\) Rate \(\times\) Time / 100.
Therefore, Deksha will pay Rs. 600 to clear her debt after 4 years.
Correct Option: C) 600
To answer this question, one needs to recall the geographical knowledge of India, specifically identifying the states and Union Territories that have a coastline. We will list them out and then count them to match with the given options.
A) 9 States and 4 Union Territories. This option correctly identifies the number of Indian states and Union Territories that have a coastline.
A water tank has two holes. The 1st hole alone empties the tank in 9 minutes and 2nd hole alone empties the tank in 6 minutes. If water leaks out at a constant rate, how many minutes does it take if both the holes together empty the tank?
3 \( \frac{3}{5} \)
\( \frac{3}{5} \)
3 \( \frac{1}{5} \)
3\( \frac{2}{5} \)
This problem involves calculating the combined work rate of two holes emptying a tank. We can determine the individual rates (amount of tank emptied per minute) and then sum them to find the combined rate. Finally, we take the reciprocal of the combined rate to find the total time taken to empty the tank.
Correct Option: A) \(3 \frac{3}{5}\)
The calculation shows that both holes together will empty the tank in \(3 \frac{3}{5}\) minutes.
The question asks for the location of the Mahabodhi Temple Complex, which is a significant Buddhist holy site. To answer this, one needs to recall the geographical locations of major Buddhist pilgrimage sites in India.
Correct Option: A) The Mahabodhi Temple Complex is located in Bodh Gaya, a town in the state of Bihar, India. It is one of the four main pilgrimage sites related to the life of Lord Buddha, the others being Lumbini (birth), Sarnath (first sermon), and Kushinagar (parinirvana).
The question asks about the primary target of NASA's Messenger spacecraft, launched in 2004. This requires knowledge of major space missions and their objectives.
D) Mercury — The Messenger spacecraft was indeed launched by NASA in 2004 with the primary objective of studying Mercury. It successfully orbited Mercury and provided unprecedented data about the planet.
The question asks for the geographical location of Mount St. Helens, an active stratovolcano. This requires general knowledge of world geography and prominent geological features.
Correct Option: C) United States of America
Mount St. Helens is an active stratovolcano located in the state of Washington, which is part of the United States of America. It is renowned for its major eruption on May 18, 1980, which was one of the most significant volcanic events in U.S. history.
A woman invests Rs. 2,000 at the start of each year at 5% compound interest per annum. How much will her investments be at the end of the 2nd year?
This problem involves calculating the future value of investments made at the start of each year, compounded annually. We need to calculate the compound interest for each investment separately and then sum them up.
Correct Option: A) Rs. 4,305 is the total amount of her investments at the end of the 2nd year.
This is a blood relation problem. To solve it, we need to break down the statement given by Deepak and identify the relationships step-by-step, starting from the end of the statement and working backwards to connect it to Deepak.
B) Brother-in-law — Based on the step-by-step analysis, Raju is the husband of Deepak's sister, making him Deepak's brother-in-law.
When a tank containing liquid is subjected to uniform horizontal acceleration, the liquid surface tilts. This phenomenon can be understood by considering the forces acting on a fluid particle within the accelerating frame of reference. The effective gravity experienced by the fluid changes, leading to a new equilibrium surface that is perpendicular to the resultant of the gravitational acceleration and the pseudo-force due to acceleration.
Identify the forces: When the tank accelerates horizontally with acceleration \(a\), a fluid particle inside experiences two main forces in the accelerating frame of reference:
Determine the resultant force: The resultant force \(F_{\text{resultant}}\) on a fluid particle will be the vector sum of these two forces. If the tank accelerates in the positive x-direction, the pseudo-force acts in the negative x-direction.
Understand the effective gravity: The liquid surface aligns itself perpendicular to the effective gravitational force. The effective gravitational acceleration \(g_{\text{eff}}\) is the vector sum of the actual gravitational acceleration \(g\) (downwards) and the acceleration due to the pseudo-force \(-a\) (opposite to the direction of motion).
Analyze the tilt: Let \(\theta\) be the angle the liquid surface makes with the horizontal. For the surface to be in equilibrium, it must be perpendicular to the effective gravity. The tangent of this angle can be found by considering the components of the effective acceleration:
\[ \tan(\theta) = \frac{\text{horizontal acceleration}}{\text{vertical acceleration}} = \frac{a}{g} \]Conclude the surface shape: Since the pseudo-force acts opposite to the direction of motion, the liquid tends to pile up at the back of the tank (opposite to the direction of acceleration) and recedes from the front (in the direction of acceleration). Therefore, the liquid surface falls down in the direction of motion and rises up on the back side of the tank.
A) The liquid surface falls down on the direction of motion and rises up on the back side of the tank. This is consistent with the principle that the liquid surface aligns itself perpendicular to the effective gravitational force, which is tilted backward due to the horizontal acceleration.
To find the fourth proportional to three given numbers, we set up a proportion where the ratio of the first two numbers is equal to the ratio of the third number to the unknown fourth proportional. Then, we solve for the unknown value.
Thus, the fourth proportional to 2, 3, and 6 is 9.
Correct Option: A) 9