Directions for the following 3 (three) items: (Covers Questions 31 to 34)
Read the passage given below study the graph that follows and answer the three items given below the figure
During a party, a person was exposed to contaminated water. A few days later, he developed fever and loose motions. He suffered for some days before going to a doctor for treatment. On starting the treatment, he soon become battery and recovered completely a few days later. The following graph shows different phases of the person's disease condition as regions A, B, C, D and E of the curve. 
Which region/regions of the curve correspond/corresponds to incubation phase of the infection?
A only
B only
B and C
No part of the curve indicates the incubation phase
To determine which region of the curve corresponds to the incubation phase of the infection, we need to understand the characteristics of this phase. The incubation phase is the period between exposure to an infection and the appearance of the first symptoms. During this phase, the pathogen is present but not yet causing noticeable symptoms.
Correct Option: A) A only
The question asks to identify the region on the provided curve that indicates when a person starts showing symptoms of infection. This requires understanding the typical progression of an infection as represented by a graph, where the y-axis likely represents the pathogen load or immune response, and the x-axis represents time.
Correct Option: B) Region B indicates that the person began showing the symptoms of infection. This is because, after an initial incubation period (Region A), the pathogen load increases, leading to the manifestation of symptoms.
The question asks to identify the region on the given curve that indicates effective relief from a treatment. Effective relief would be represented by a decrease in the symptom or condition being treated. We need to analyze the curve's trend in different regions to find where such a decrease occurs.
Correct Option: C) E. Region E shows a significant downward trend, indicating a decrease in the symptom or condition, which translates to effective relief from the treatment.
This problem can be solved using the fundamental principle of counting, specifically the multiplication principle. If there are multiple independent choices to be made, the total number of ways to make all choices is the product of the number of ways for each individual choice.
Therefore, there are 24 possible routes to travel from city A to city C.
Correct Option: A) 24
A contract on construction job specifies a penalty for delay in completion of the work beyond a certain date is as follows: ₹ 200 for the first day, ₹250 for the second day, ₹300 for the third day etc., the penalty for each succeeding day being ₹50 more than that of the preceding day. How much penalty should the contractor pay if he delays the work by 10 days?
The problem describes a penalty structure where the penalty increases by a fixed amount each day. This indicates an arithmetic progression (AP). We need to find the sum of the penalties for a delay of 10 days.
Correct Option: B) ₹ 4,250
Consider the figure given below and answer the item that follows:
In the figure shown above, OP1 and OP2 are two plane mirrors kept perpendicular to each other. S is the direction of a beam of light falling on the mirror OP1. The direction of the reflected beam of light from the mirror OP2 will be
Perpendicular to the direction S.
At 45o to the direction S
Opposite and parallel to the direction S.
At 60o to the direction S.
To determine the direction of the reflected beam of light from mirror OP2, we need to understand the behavior of light when it reflects off two perpendicular mirrors.
Correct Option: C) Opposite and parallel to the direction S.
Consider the following figure and answer the item that follows: 
What is the minimum number of different colours required to paint the figure given above such that no two adjacent regions have the same colour?
The problem is to determine the minimum number of different colors required to paint the given figure such that no two adjacent regions share the same color. This is a classic problem of graph coloring, where each region represents a vertex and each boundary between regions represents an edge.
Correct Option: A) 3
Consider the following figure and answer the item that follows: 
A square is divided into four rectangles as shown above. The lengths of the sides of rectangles are natural numbers. The areas of two rectangles are indicated in the figure. What is the length of each side of the square?
10
11
15
Cannot be determined as the given data are insufficient
The problem involves finding the side length of a square divided into four rectangles, with given areas for two of them. We use these areas to determine the dimensions of the rectangles and ultimately the side of the square.
Correct Option: B) 11
We can solve this problem by setting up a system of two linear equations based on the given information: one equation for the total number of coins and another for the total amount of money. Then, we can solve these equations simultaneously to find the number of ₹1 and ₹2 coins.
Let \(x\) be the number of ₹1 coins.
Let \(y\) be the number of ₹2 coins.
From the problem statement, the total number of coins is 50. So, we can write the first equation:
\[ x + y = 50 \quad \text{(Equation 1)} \]From the problem statement, the total amount of money is ₹75. The value contributed by ₹1 coins is \(1 \times x = x\) rupees, and the value contributed by ₹2 coins is \(2 \times y = 2y\) rupees. So, we can write the second equation:
\[ x + 2y = 75 \quad \text{(Equation 2)} \]Now we have a system of two linear equations:
Equation 1: \(x + y = 50\)
Equation 2: \(x + 2y = 75\)
Subtract Equation 1 from Equation 2 to eliminate \(x\):
\[ (x + 2y) - (x + y) = 75 - 50 \]\[ x + 2y - x - y = 25 \]\[ y = 25 \]Substitute the value of \(y\) back into Equation 1 to find \(x\):
\[ x + 25 = 50 \]\[ x = 50 - 25 \]\[ x = 25 \]So, the number of ₹1 coins is 25 and the number of ₹2 coins is 25.
D) 25 and 25. This matches our calculated values for \(x\) (number of ₹1 coins) and \(y\) (number of ₹2 coins).
A) 15 and 35. If there are 15 ₹1 coins and 35 ₹2 coins, the total number of coins is \(15 + 35 = 50\). The total amount of money is \((1 \times 15) + (2 \times 35) = 15 + 70 = 85\). This is not ₹75.
B) 35 and 15. If there are 35 ₹1 coins and 15 ₹2 coins, the total number of coins is \(35 + 15 = 50\). The total amount of money is \((1 \times 35) + (2 \times 15) = 35 + 30 = 65\). This is not ₹75.
C) 30 and 20. If there are 30 ₹1 coins and 20 ₹2 coins, the total number of coins is \(30 + 20 = 50\). The total amount of money is \((1 \times 30) + (2 \times 20) = 30 + 40 = 70\). This is not ₹75.
To find the minimum distance each person should walk so that they cover the same distance in complete steps, we need to find the Least Common Multiple (LCM) of their individual step lengths. This LCM will be the shortest distance that is a multiple of all three step lengths.
A) 25 m 20 cm is the correct answer. The minimum distance is 2520 cm, which is 25 meters and 20 centimeters.