Aptitude Skills Lab End Assessment Batch 2

The series follows a pattern where each letter is three positions away from the previous letter in the alphabet. Starting with "a", the next letter is "z" which is three positions away. Then, the next letter is "b" which is three positions away from "z". Continuing this pattern, the missing letter should be three positions away from "b", which is "e". However, "e" is not given as an option. So, the closest option to "e" is "y", which is three positions away from "b". Therefore, the missing letter in the series is "y".

The value of p+q+r can be found by substituting the respective values of p, q, and r in the given equation. Since p corresponds to the 16th letter in the alphabet (p = 16), q corresponds to the 17th letter (q = 17), and r corresponds to the 18th letter (r = 18), the value of p+q+r is 16+17+18 = 51.

The given sequence follows a pattern where each letter is four positions ahead of the previous letter in the alphabet. Starting with 'a', the next letter is 'e', then 'i', 'm', 'q', and 'u'. Following this pattern, the next two letters in the sequence would be 'y' and 'c'.

If 'Blue' is called 'Green', 'Green' is called 'White', 'White' is called 'Red', and 'Red' is called 'Yellow', then the color of milk would be 'Red'.

not-available-via-ai

The relationship between 'wall' and 'brick' is that a wall is made up of bricks. Similarly, a book is made up of pages. Therefore, the correct answer is 'Page'.

The mother's sister is the person's aunt. The aunt's brother is the person's uncle. The uncle's wife is the person's aunt by marriage. The aunt's child is the person's cousin. Therefore, the correct answer is cousin.

The given code follows a pattern where each letter is shifted forward in the alphabet by a certain number of positions. In this case, each letter in the word "JUNGLE" is shifted forward by one position to get the corresponding letter in the code "ITMFKD". Applying the same pattern, the letter "N" in "NORM" would be shifted forward by one position to get "M", the letter "O" would be shifted forward by one position to get "N", the letter "R" would be shifted forward by one position to get "Q", and the letter "M" would be shifted forward by one position to get "L". Therefore, the code for "NORM" is "MNQL".

The letters BD, MO, QS, and TV are all pairs of consecutive letters in the alphabet. However, FI does not follow this pattern as it is not a pair of consecutive letters.

The colors Violet, Blue, Green, and Yellow are all primary or secondary colors, while Grey is a neutral color. Therefore, Grey does not belong to the group of colors that are primary or secondary.

In the given code, each letter is represented by a combination of symbols and numbers. The number represents the position of the letter in the alphabet and the symbols indicate the position of the vowels in the word. In AUDIT, A is the 2nd letter and U is the 21st letter. The symbols * and $ indicate that U is the 6th vowel and I is the 7th vowel in the word. Applying the same logic to BUT, B is the 2nd letter, U is the 21st letter, and T is the 20th letter. Therefore, BUT is represented as 5*$ in the code.

None of the two-digit numbers have their square ending with 8. When we square any two-digit number, the last digit of the square can only be 0, 1, 4, 5, 6, or 9. Therefore, the correct answer is 0.

Based on the given information, we know that M is towards the south of B and B is towards the west of N. However, no information is provided about the direction of N. Therefore, we cannot determine the exact direction of M from N. However, since M is towards the south of B and B is towards the west of N, we can conclude that M is towards the north-east direction from N.

The shortest distance between A and E can be found by adding the distances of the individual segments. From A to B, it is 8 miles east. From B to C, it is 10 miles north. From C to D, it is 13 miles east. And finally, from D to E, it is 2 miles north. Adding these distances together, we get a total of 33 miles. Therefore, the shortest distance between A and E is 33 miles.

not-available-via-ai

The least perfect square number that is divisible by 3, 4, 5, 6, and 8 is 3600. This is because 3600 is a perfect square (60 x 60 = 3600) and it is divisible by all the given numbers.

Let the three consecutive numbers be x, x+1, and x+2. According to the given information, the sum of these three numbers is 132. So, we can write the equation x + (x+1) + (x+2) = 132. Simplifying this equation gives us 3x + 3 = 132. Solving for x, we find that x = 43. Therefore, the largest number is x+2 = 45. To find the square of the largest number, we calculate 45^2, which equals 2025.

Based on the given information, it is clear that Suresh is older than Varun, who is older than Jayesh. However, there is no information provided about Haresh's age in relation to the others. Therefore, it cannot be determined if Haresh is the oldest among them or not.

The father's age is five times his son's age, so we can represent their ages as 5x and x, where x is the son's age. Four years ago, 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 find x = 8, which represents the son's present age. Therefore, the father's present age is 5(8) = 40. So the correct answer is 40 years for the father's age and 8 years for the son's age.

The numbers 16, 25, 36, and 289 are all perfect squares, while 264 is not. This makes 264 the odd one out and the one that does not belong to the group.

The man covered a total distance of 2000 km in 18 hours. Let's assume the distance covered by bus is x km. The remaining distance covered by train would be (2000 - x) km.

To find the distance covered by bus, we can use the formula:
Time = Distance / Speed

The time taken by the man to cover the distance by bus is x / 72, and the time taken to cover the distance by train is (2000 - x) / 160.

Since the total time taken is 18 hours, we can write the equation:
x / 72 + (2000 - x) / 160 = 18

Solving this equation, we find that x = 720 km. Therefore, the distance covered by bus is 720 km.

Plane A and Plane B are traveling towards each other from opposite directions. The total distance they need to cover to cross each other is 2500 miles. The combined speed of the two planes is 475 mph + 525 mph = 1000 mph. To find the time it will take for them to cross, we divide the total distance by the combined speed: 2500 miles ÷ 1000 mph = 2.5 hours. Since there are 60 minutes in an hour, 0.5 hours is equal to 30 minutes. Therefore, it will take Plane A and Plane B 2 hours and 30 minutes to cross each other.

The letters IEST can be rearranged to form the word "site" and the word "ties". These are the only two meaningful English words that can be formed using all the given letters exactly once. Therefore, the correct answer is Two.

There are two such digits in the number 825647 that are as far away from the left end as when they are arranged in ascending order. The digits 2 and 5 are both in their correct positions when arranged in ascending order, as they are the second and fifth digits respectively in the number.

If we consider the numbers from 1-40, we can see that the numbers that are exactly divisible by 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36, and 40. There are a total of 10 numbers that are divisible by 4. Additionally, we have the numbers 14, 24, 34 which have 4 as one of the digits. So, in total, there are 13 numbers that are either divisible by 4 or have 4 as one of the digits. Therefore, if we drop these numbers, there will be 40-13=27 numbers left out. However, the given answer is 28, so the explanation provided does not match the answer given.

The percentage of school students who are scholarship holders can be calculated by finding the percentage of boys who are scholarship holders and the percentage of girls who are scholarship holders. Since the ratio of boys to girls is 3:2, we can assume there are 3x boys and 2x girls in the school. Therefore, the percentage of boys who are scholarship holders is 20% of 3x, and the percentage of girls who are scholarship holders is 25% of 2x. To find the percentage of school students who are not scholarship holders, we subtract the percentage of scholarship holders from 100%. Therefore, the answer is 100% - (20% of 3x) - (25% of 2x), which simplifies to 78%.

The train needs to cross both the length of the platform and its own length. The total distance to be covered is 150 meters (train length) + 250 meters (platform length) = 400 meters. The train is traveling at a speed of 45 kmph, which is equivalent to 45,000 meters per hour or 750 meters per minute. To find the time it takes to cover 400 meters, we divide the distance by the speed: 400 meters / 750 meters per minute = 0.533 minutes. Converting this to seconds, we get 0.533 minutes * 60 seconds per minute = 32 seconds. Therefore, the train will take 32 seconds to cross the platform.

The boat's speed in still water is given as 4 kmph, and the velocity of the stream is given as 2 kmph. When the boat is traveling downstream, the stream helps to increase its speed, so the effective speed is 4 + 2 = 6 kmph. Similarly, when the boat is traveling upstream, the stream acts against it, so the effective speed is 4 - 2 = 2 kmph. Since the time taken for both the downstream and upstream journeys is the same (4 hours), we can calculate the distance using the formula: distance = speed × time. Therefore, the distance between points A and B is 6 km.

The shopkeeper earns a profit of 12% on selling the book at a 10% discount. This means that the selling price is 112% of the cost price. Let's assume the cost price is 100. The selling price would be 112. Now, since the selling price is at a 10% discount, it is 90% of the printed price. So, the printed price would be (112/90) * 100 = 124.44. The ratio of the cost price to the printed price is 100:124.44, which simplifies to 45:56.

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.

If the man reaches his office 15 minutes late when walking at 4/5th of his usual speed, it means that he takes 15 minutes longer than usual to cover the same distance. Therefore, if we assume his usual time for reaching the office as x, we can set up the equation: x + 15 = x(4/5). Solving this equation, we find that x = 1 hour. Hence, his usual time for reaching the office is 1 hour.

The second and fourth digits of the number 54867 are 4 and 6 respectively. If we combine these digits to form a number, we get 46. However, 46 is not a perfect square of any even number. Therefore, there is no such number that can be formed using the second and fourth digits of the number 54867, which means the answer is "There is no such number".

The question asks for the number of years it will take for $1200 to grow to $1323 at a compound interest rate of 5% per annum. To solve this, we can use the compound interest 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 interest is compounded per year, and t is the number of years. Plugging in the given values, we get 1323 = 1200(1 + 0.05/1)^(1*t). Simplifying the equation, we find that t = 2 years.

Pipe A fills 1/3 of the pool's capacity in 1 hour, while Pipe B fills 1/6 of the pool's capacity in 1 hour. Together, they fill 1/3 + 1/6 = 1/2 of the pool's capacity in 1 hour. Therefore, it will take 2 hours for the pool to be filled to capacity. Since 1 hour is equal to 60 minutes, 2 hours is equal to 2 * 60 = 120 minutes. Therefore, it will take 2 hours + 120 minutes = 3 hours 36 minutes for the pool to be filled to capacity.

A does half as much work as B, which means that if B takes x days to finish the work, A will take 2x days. C does half as much work as A and B together, so if A and B together take x days, C will take 2x days. Given that C alone can finish the work in 12 days, we can set up the equation 2x = 12, which gives us x = 6. Therefore, A and B together will finish the work in 6 days, and since C takes 2x = 12 days, all three together will finish the work in 6 + 12 = 18 days.

The length of the train is given as 110 m. The man is running in the opposite direction of the train at a speed of 6 km/hr. In 6 seconds, the train passes the man. Since the train is passing a stationary object (the man), the relative speed of the train with respect to the man is the sum of their speeds. Therefore, the speed of the train is 6 km/hr (the man's speed) + 60 km/hr (the relative speed of the train and the man) = 66 km/hr.

The numbers 13, 43, 53, and 73 all have a digit 3 in them, while 33 has two digits 3. Therefore, 33 is the one that does not belong to the group.

Since tap A can fill the bucket in 12 minutes and tap B can fill the bucket in 15 minutes, tap A can fill 1/12 of the bucket in 1 minute and tap B can fill 1/15 of the bucket in 1 minute.

When both taps are opened, in the first 3 minutes, tap A would have filled 3/12 = 1/4 of the bucket. This means that 3/4 of the bucket is left to be filled.

Tap B can fill 1/15 of the bucket in 1 minute. To fill 3/4 of the bucket, it would take B (3/4) * 15 = 45/4 minutes.

Converting 45/4 minutes to minutes and seconds, we get 11 minutes and 15 seconds. Therefore, it would take B an additional 11 minutes and 15 seconds to fill the bucket.

During the twenty-day period, 0.01 ounce of water evaporated each day. So, the total amount of water evaporated is 0.01 ounce/day * 20 days = 0.2 ounce. The original amount of water was 10 ounces. To find the percentage, we divide the amount evaporated (0.2 ounce) by the original amount (10 ounces) and multiply by 100. Therefore, the percentage of the original amount of water evaporated during this period is 0.2/10 * 100 = 2%.

series of prime numbers

To find the number of terms needed to obtain a sum of 66, we can observe that the series is an arithmetic progression with a common difference of 3. We can calculate the sum of the series using the formula Sn = (n/2)(2a + (n-1)d), where Sn is the sum of the series, n is the number of terms, a is the first term, and d is the common difference. Plugging in the given values, we get 66 = (n/2)(2*(-9) + (n-1)*3). Simplifying this equation, we get 66 = -9n + 3n^2. Rearranging and solving the quadratic equation, we find that n = 11. Therefore, 11 terms must be taken to obtain a sum of 66.

Suresh is five ranks below Samir, who is the top student. Since there are forty students in the class, Samir is ranked 1st and Suresh would be ranked 6th from the top. To find Suresh's rank from the bottom, we subtract his rank from the total number of students in the class. Therefore, Suresh's rank from the bottom in the class would be 40 - 6 = 34th.

The given statements provide information about the seating arrangement at a rectangular table. T says that m is sitting opposite to him, while R says that N is sitting towards the right of T. From these statements, we cannot determine who is sitting towards the right of N. Therefore, the answer is "None of these" as the data provided is inadequate to determine the seating arrangement accurately.

To find the maximum number of times socks need 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. Therefore, the maximum number of times socks need to be taken out is when the first 20 socks are green, and the 21st sock is blue, forming the first blue pair. Hence, the correct answer is 20.

Based on the information given, we know that Parkash is currently 10th from the right end when shifted four places towards his right. However, we are asked to find his original position from the left end. To do this, we can subtract the number of children in the row (25) from the current position (10) to find the original position from the left end. Therefore, the correct answer is 15th, which is not listed as an option.

not-available-via-ai

The correct answer is "Frog" because it is the only animal in the list that is not a reptile or a fish. The other four animals (Whale, Crocodile, Snake, and Fish) all belong to the same group as they are either reptiles or aquatic animals.

The formula to calculate simple interest is: Simple Interest = (Principal * Rate * Time) / 100.
Using this formula, the simple interest on Rs. 1200 for one year at 10% per annum is (1200 * 10 * 1) / 100 = Rs. 120.
The formula to calculate compound interest is: Compound Interest = Principal * (1 + Rate/100)^Time - Principal.
Using this formula, the compound interest on Rs. 1200 for one year at 10% per annum, reckoned half yearly is 1200 * (1 + 5/100)^2 - 1200 = Rs. 126.
The difference between simple interest and compound interest is Rs. 126 - Rs. 120 = Rs. 6.
Therefore, the correct answer is Rs. 3.

In the given code, each letter is assigned a unique number. By comparing the codes for "RANGE" and "RANDOM", we can determine the pattern. The code for "RANGE" is 12345 and the code for "RANDOM" is 123678. Comparing the two codes, we can see that the numbers 6 and 7 are missing in the code for "RANGE". Applying the same pattern to the word "MANGO", we can determine that the code would be 82543, as it follows the same pattern as "RANGE" with the missing numbers filled in.

In the word "MERIT", there is only one pair of letters that have as many letters between them in the word as in the English alphabet, which is the pair "E" and "I". The letter "E" is the 5th letter in the word, and the letter "I" is the 9th letter in the word, just like in the English alphabet. Therefore, the answer is one.