Aptitude Test (Online) - 1

Explanation
C is sitting three places on the right of D because D is in the center, E is to the right of D, and F is to the right of E. Since C is the only remaining option, C must be sitting three places on the right of D.

Explanation
Aryan is the son of the old woman. This is because he states that her son is his son's uncle, which means that the old woman's son is Aryan's brother. Since Aryan is referring to the old woman as his son's uncle's mother, it implies that he himself is the son of the old woman. Therefore, Aryan is the son of the old woman.

Explanation
In a 12-hour clock, the hour and minute hands coincide 11 times. However, in a 24-hour clock, the hands coincide an additional 11 times. This is because the hands coincide at each hour mark twice - once during the first 12 hours and again during the second 12 hours. Therefore, the total number of times the hands coincide in 24 hours is 11 + 11 = 22.

Explanation
According to the given information, if 'dog' is called 'lion', 'lion' is called 'bison', 'bison' is called 'snake', 'snake' is called 'mongoose', and 'mongoose' is called 'crocodile', then the animal that is reared as pets would be 'lion'.

Explanation
The hour hand of a clock completes a full rotation of 360 degrees in 12 hours. Therefore, in 6 hours (from 9 o'clock in the morning to 3 o'clock in the afternoon), the hour hand will rotate half of its full rotation, which is 180 degrees.

Explanation
Based on the given information, we can conclude that B is east of A and A is north of C. Since P is south of C, it means that P is in the opposite direction of north, which is south. Furthermore, since B is east of A, and P is south of C, P must be in the southwest direction of B. Therefore, the correct answer is South-West.

Explanation
In this group, all the numbers are multiples of 7 except for 50. 35, 63, and 140 are all divisible by 7, while 39 is a multiple of 3 and 50 is not a multiple of either 3 or 7. Therefore, 50 is the number that is different from the others in the group.

Explanation
The code form seems to be based on assigning a numerical value to each letter of the word, where A=1, B=2, C=3, and so on. By applying this pattern to the word MANIAC, we can assign the values M=13, A=1, N=14, I=9, A=1, and C=3. Adding up these values gives us 13+1+14+9+1+3=41, which matches the given answer.

Explanation
The words in the pairs "Profit-Loss," "Virtue-Vice," and "Wise-Foolish" are all antonyms, meaning they have opposite meanings. However, "Seduce-Attract" is not an antonym pair. While "Attract" can have a positive connotation, "Seduce" typically implies manipulation or deception, making it a different type of relationship than the other pairs. Therefore, "Seduce-Attract" is the odd pair of words.

Explanation
A x B ÷ C means A is the brother of B and B is the mother of C. Therefore, A is the uncle of C.

Explanation
The ball costs $0.05. If we let the cost of the ball be x, then the cost of the bat would be x + $1. We know that the total cost of the bat and ball together is $1.10. So we can set up the equation x + (x + $1) = $1.10. Simplifying this equation, we get 2x + $1 = $1.10. Subtracting $1 from both sides, we get 2x = $0.10. Dividing both sides by 2, we find that x = $0.05, which is the cost of the ball.

Explanation
The average salary of three employees is $1000 per week. If one employee earns $1100 and the other earns $500, the sum of their salaries is $1100 + $500 = $1600. To find the salary of the third employee, we subtract the sum of the salaries of the first two employees from the average salary of $1000 per week. Therefore, the third employee will earn $1000 - $1600 = $1400.

Explanation
The given sequence follows a pattern of decreasing numbers. Each number is obtained by subtracting a certain value from the previous number. The pattern seems to be subtracting 66, 55, 44, 33, and 22 successively. Therefore, to find the missing number, we subtract 11 from the previous number (127) which gives us 116. However, this does not match any of the given options. Hence, the correct answer is 105, which is the only option that follows the pattern of decreasing by 11.

Explanation
The pattern in the given sequence is that each number is obtained by adding 2 to the previous number. For example, 1 + 2 = 3, 3 + 2 = 5, 5 + 2 = 7, and so on. Therefore, to find the missing number, we need to add 2 to the previous number in the sequence. In this case, 4 + 2 = 6, so the missing number is 6. However, none of the options given match this result, so the correct answer is not available.

Explanation
Let's assume the two-digit number as 10x + y, where x and y represent the tens and units digits respectively. According to the given information, the number is three times the sum of its digits, so we can write the equation as 10x + y = 3(x + y). Simplifying this equation, we get 7x = 2y. Additionally, if 45 is added to the number, the digits are reversed, so we can write another equation as 10y + x + 45 = 10x + y. Simplifying this equation, we get 9x - 9y = 45. Solving these two equations simultaneously, we find that x = 9 and y = 3, which gives us the number 27. Therefore, the correct answer is 27.

Explanation
For a binary search algorithm to work, it is necessary that the array (list) must be sorted. This is because binary search relies on dividing the array in half and comparing the target value with the middle element. If the array is not sorted, the algorithm cannot accurately determine which half of the array to search in, leading to incorrect results. Therefore, sorting the array beforehand is essential for the binary search algorithm to function correctly.

Explanation
Selection Sort is not a stable sorting algorithm because it does not preserve the relative order of elements with equal keys. In selection sort, the smallest element is repeatedly selected and swapped with the element in the current position, which can lead to the rearrangement of elements with equal keys. Therefore, Selection Sort is not stable.

Explanation
The output of the code will be 0. This is because there is a nested block within the main function that declares a new variable x and initializes it to 0. When the printf statement is executed within this nested block, it will print the value of this inner x, which is 0. The outer x variable with the value of 10 is not accessible within the nested block.

Explanation
The code declares a variable "x" with a value of 10 outside the main function, and another variable "x" with a value of 0 inside the main function. When the printf statement is executed, it prints the value of the variable "x" inside the main function, which is 0. Therefore, the output will be 0.

Explanation
The output of this code will be 3. This is because when the expression 10/3 is evaluated, the result is an integer division, which truncates the decimal part and only keeps the whole number. Therefore, the value of 'a' will be 3. When the value of 'a' is printed using the "%d" format specifier, it will be displayed as 3.