Aptitude Quiz Test

Explanation
The value of p+q+r can be found by substituting the corresponding values for p, q, and r in the given equation. Since p = 16, q = 17, and r = 18, the sum of these values would be 16 + 17 + 18 = 51.

Explanation
To find the shortest distance between A and E, we can draw a diagram. A is 8 miles east of B, so we can mark A 8 miles to the right of B. C is 10 miles north of B, so we can mark C 10 miles above B. D is 13 miles east of C, so we can mark D 13 miles to the right of C. Finally, E is 2 miles north of D, so we can mark E 2 miles above D. By connecting A and E, we can see that the shortest distance between them is a straight line that connects A and E, which measures 13 miles. Therefore, the correct answer is 13 miles.

Explanation
To find the maximum number of times socks have to be taken out to find at least 1 blue pair, we need to consider the worst-case scenario. Since 60% of the socks are green, the remaining 40% must be blue. To ensure we find at least 1 blue pair, we need to take out all the green socks first. So, we would need to take out 60% of 30 socks, which is 18 socks, to guarantee that we have taken out all the green socks. After taking out the green socks, the next sock we pick will definitely be blue, giving us our first blue pair. Therefore, the maximum number of times socks have to be taken out is 18 + 1 = 19.

Explanation
None of the two-digit numbers have their square ending with 8. The square of any number ending with 0, 1, 4, 5, 6, or 9 will end with 0, 1, 6, 5, 6, or 1 respectively. Therefore, the answer is 0.

Explanation
To find twenty percent of 25% of 20, we first calculate 25% of 20, which is 5. Then, we find 20% of 5, which is 1. Therefore, the correct answer is 1.

Explanation
The given sequence follows a pattern where each letter is the fifth letter after the previous one in the English alphabet. Starting with "a", the next letter is "e", then "i", "m", "q", "u". Following this pattern, the next letter would be "y" and the one after that would be "c".

Explanation
series of prime numbers

Explanation
The person in question is the child of my mother's sister's brother's wife. This means that the person is the child of my mother's sibling's spouse. Since the person is the child of my mother's sibling's spouse, they would be my cousin.

Explanation
Let the first number be x. The next two consecutive numbers will be x+1 and x+2. According to the given information, x + (x+1) + (x+2) = 132. Simplifying this equation, we get 3x + 3 = 132, which gives x = 43. Therefore, the largest number is 45. The square of 45 is 2025.

Explanation
The correct answer is 40 years and 8 years. The father's age is five times his son's age, so let's assume the son's age is x. This means the father's age is 5x. Four years back, the father was 9 times older than his son, so we can set up the equation 5x - 4 = 9(x - 4). Solving this equation, we get x = 4. Therefore, the son's present age is 4 years, and the father's present age is 5 * 4 = 20 years.

Explanation
The correct answer is 2 years because compound interest is calculated by the formula A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years. In this case, the principal amount is $1200, the final amount is $1323, the annual interest rate is 5%, and the interest is compounded annually. By substituting these values into the formula, we can solve for t and find that it takes 2 years for $1200 to amount to $1323.

Explanation
To find the sum of a series, we can use the formula for the sum of an arithmetic series: Sn = (n/2)(2a + (n-1)d), where Sn is the sum of the series, a is the first term, n is the number of terms, and d is the common difference. In this case, the first term is -9 and the common difference is 3. We need to find the value of n that makes Sn equal to 66. Plugging in the values, we get 66 = (n/2)(2(-9) + (n-1)3). Simplifying the equation, we get -9n + 3n^2 - 3n + 6 = 0. Solving for n, we find that n = 11. Therefore, 11 terms must be taken in order for the sum to be 66.

Explanation
The train's length and the platform's length are given. To calculate the time it takes for the train to cross the platform, we need to consider the relative speed between the train and the platform. The train is traveling at a speed of 45 kmph, which is equivalent to 45 * (5/18) m/s. The total distance the train needs to cover is the sum of its own length and the platform's length, which is 150 + 250 = 400 meters. Dividing the total distance by the relative speed gives us the time taken, which is 400 / (45 * (5/18)) = 32 seconds. Therefore, the correct answer is 32 secs.

Explanation
If the man reaches his office 15 minutes late while walking at 4/5th of his usual speed, it means that he would have reached on time if he had walked at his usual speed. Therefore, his usual time for reaching the office is 1 hour.

Explanation
The correct code for the word "MANGO" would be 82357.To understand the code, let's compare the given words and their codes:RANGE → 12345RANDOM → 123678From this, we can see that each letter corresponds to a specific digit:R → 1A → 2N → 3G → 4E → 5O → 6M → 7D → 8Now, we can apply this code to the word "MANGO":M → 7A → 2N → 3G → 4O → 6However, since the question asks for the code of "MANGO" in the same format as "RANGE" and "RANDOM," we need to adjust the code to match the original pattern:M → 8 (as it is in the second position)A → 2N → 3G → 5 (as it is in the fourth position)O → 7 (as it is in the fifth position)So, the code for the word "MANGO" would be 82357.