Mckvie - 23-24 April 2018- Pre-training Assessment - 3

Politicians are often associated with corruption due to their position of power and influence. They have the ability to abuse their authority for personal gain, such as accepting bribes or engaging in fraudulent activities. This is not to say that all politicians are corrupt, but the question assumes that politicians are more likely to be involved in corrupt practices compared to businessmen, lawyers, or policemen.

252 can be expressed as a product of primes as 2 x 2 x 3 x 3 x 7. This is the correct answer because it is the only option that includes all the prime factors of 252 (2, 3, and 7) and their respective exponents. The other options either have missing prime factors or incorrect exponents, making them incorrect.

If a quarter kg of potato costs 60 paise, it means that 250 grams of potato costs 60 paise. To find out how many paise 200 grams of potato will cost, we can set up a proportion.

250 grams / 60 paise = 200 grams / x paise

Cross-multiplying, we get:

250x = 60 * 200

Simplifying, we find:

x = (60 * 200) / 250 = 48 paise

Therefore, 200 grams of potato will cost 48 paise.

Let's assume the present age of Arun is 4x and the present age of Deepak is 3x. After 6 years, Arun's age will be 4x+6=26 years. Solving this equation, we find that x=5. Therefore, the present age of Deepak is 3x=3*5=15 years.

The boat's speed in still water is 13 km/hr, and the speed of the stream is 4 km/hr. When the boat is traveling downstream, its effective speed is the sum of its speed in still water and the speed of the stream. Therefore, the boat's speed downstream is 13 km/hr + 4 km/hr = 17 km/hr. To find the time taken by the boat to go 68 km downstream, we divide the distance by the speed: 68 km / 17 km/hr = 4 hours.

The lowest common multiple (LCM) is the smallest number that is divisible by all the given numbers. To find the LCM of 24, 36, and 40, we can list the multiples of each number and find the smallest number that appears in all three lists. The multiples of 24 are 24, 48, 72, 96, 120, 144, 168, 192, 216, 240, 264, 288, 312, 336, 360, ... The multiples of 36 are 36, 72, 108, 144, 180, 216, 252, 288, 324, 360, ... The multiples of 40 are 40, 80, 120, 160, 200, 240, 280, 320, 360, ... The smallest number that appears in all three lists is 360, so the correct answer is 360.

The question is asking for the other number when one of the numbers is given as 275. The highest common factor (H.C.F.) of the two numbers is 11, which means that both numbers are divisible by 11. The least common multiple (L.C.M.) of the two numbers is 7700. Since 275 is one of the numbers and it is divisible by 11, the other number must also be divisible by 11. Looking at the answer choices, only 308 is divisible by 11. Therefore, the other number is 308.

A memory chip with 8 data lines and 9 address lines can store 2^9 bytes, which is equal to 512 bytes. Each address line doubles the number of possible addresses, and since there are 9 address lines, it can address 2^9 different locations. Since each location can store 1 byte, the total number of bytes that can be stored is 512.

If one-third of one-fourth of a number is 15, it means that (1/3) * (1/4) * x = 15, where x is the number. Simplifying this equation, we get (1/12) * x = 15. To find three-tenths of the number, we multiply the number by (3/10). Therefore, (3/10) * x = (3/10) * (12/1) * 15 = 54. Hence, the correct answer is 54.

The number must be a two-digit number with a product of 8, meaning the digits must be 2 and 4. When 18 is added to the number, the digits are reversed. Therefore, the number must be 42.

The number has 3 digits and the sum of these digits is 10. The middle digit is equal to the sum of the other two digits, which means that it must be 5. If we reverse the digits of the number, we get a new number that is 99 greater than the original number. The only number that satisfies these conditions is 253.

Teachers are not high on the list of corruption because they do not have opportunities. This implies that corruption requires certain circumstances or situations in order to occur, and teachers do not typically find themselves in such positions. Unlike other professions or individuals who may have access to resources or power that can be exploited for personal gain, teachers are generally limited in their opportunities to engage in corrupt practices. Therefore, the lack of opportunities for corruption acts as a deterrent for teachers, keeping them lower on the list of corrupt individuals or professions.

The correct answer is 42, 33. This answer satisfies the given conditions where one student secures 9 marks more than the other and his marks are 56% of the sum of their marks. In this case, 42 is 9 marks more than 33, and 42 is 56% of the sum of 42 and 33.

To find the least number that leaves a remainder of 8 when divided by 12, 15, 20, and 54, we need to find the least common multiple (LCM) of these numbers. The LCM of 12, 15, 20, and 54 is 540. Adding 8 to this number gives us 548, which is the least number that satisfies the given conditions. Therefore, the correct answer is 548.

The loom weaves 0.128 metres of cloth every second. To find out how many seconds it will take to weave 25 metres of cloth, we can divide 25 by 0.128. This gives us approximately 195 seconds. Therefore, it will take approximately 195 seconds for the loom to weave 25 metres of cloth.

The question provides information about the sum of the ages of R and T, but it does not provide any specific information about the ages of Q, R, or T individually. Without knowing the individual ages of Q, R, and T, it is not possible to determine the difference between R and Q's age. Therefore, the answer is Data Inadequate.

A can complete 1/15th of the work in one day and B can complete 1/10th of the work in one day. Together, they can complete (1/15 + 1/10) = 1/6th of the work in one day. After working together for 2 days, they completed 2/6th of the work. The remaining work is 4/6th. Since A is completing the remaining work alone, he will take (4/6)/(1/15) = 10 days to complete it. Therefore, the whole work was completed in 2 + 10 = 12 days.

The code is using a for loop to iterate through the characters in the string "man". It then uses printf to print out the characters in various ways. The first printf statement will print "m" four times, because it is printing s[i], *(s+i), *(i+s), and i[s], all of which refer to the first character in the string. The second printf statement will print "a" four times, because it is printing the second character in the string. The third printf statement will print "n" four times, because it is printing the third character in the string. Therefore, the output of the code will be "mmmm aaaa nnnn".

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Let's assume that Sameer's present age is 5x and Anand's present age is 4x. According to the given information, 3 years from now, Sameer's age will be 5x+3 and Anand's age will be 4x+3. The ratio of their ages at that time will be 11:9. Therefore, we can set up the equation (5x+3)/(4x+3) = 11/9. By solving this equation, we find that x = 3. Substituting x = 3 into Anand's present age, we get 4x = 4*3 = 12. Therefore, Anand's present age is 12 years.

The intense Middle Class intensely yearns for a clean honest society because they value integrity and transparency. They desire a society where corruption is not prevalent and where individuals are held accountable for their actions. This reflects their belief in fairness and justice, and their aspiration for a society that upholds moral values and promotes the well-being of its citizens.

The total cost of the items purchased is Rs. 25. The sales tax on taxable purchases is 30 paise, which is 6% of the cost of taxable items. Therefore, the cost of taxable items is (30 paise * 100) / 6 = Rs. 5. The cost of tax-free items can be calculated by subtracting the cost of taxable items from the total cost of items purchased, which is Rs. 25 - Rs. 5 = Rs. 20. However, the question asks for the cost of tax-free items, so we need to subtract the sales tax from the cost of tax-free items. Therefore, the cost of tax-free items is Rs. 20 - Rs. 0.30 = Rs. 19.70.

The word 'OPTICAL' has 7 letters, including 3 vowels (O, I, A) and 4 consonants (P, T, C, L). To arrange the letters such that the vowels always come together, we can consider the group of vowels as a single entity. This entity can be arranged in 3! = 6 ways. Within this entity, the vowels can be arranged in 3! = 6 ways. The remaining 4 consonants can be arranged in 4! = 24 ways. Therefore, the total number of arrangements is 6 * 6 * 24 = 720.

The given numbers are in the ratio of 3 : 4 : 5. Let's assume the numbers to be 3x, 4x, and 5x. The LCM of these numbers is 2400. So, we can write the equation as 3x * 4x * 5x = 2400. Solving this equation, we get x = 4. Therefore, the numbers are 12, 16, and 20. The HCF of these numbers is 4. Hence, the correct answer is 40.

The correct answer is "homogeneous." This means that the Indian middle class is similar or uniform in nature. They share similar characteristics, values, and lifestyles. This can be seen in their consumption patterns, aspirations, and social behavior. The Indian middle class is often referred to as a single entity due to their commonalities, such as education levels, income levels, and urban lifestyles.

The speed of the boat in still water can be found by taking the average of the speeds of the boat along the stream and against the stream. In this case, the boat goes 11 km/hr along the stream and 5 km/hr against the stream. The average of these two speeds is (11+5)/2 = 8 km/hr. Therefore, the speed of the boat in still water is 8 km/hr.

The man is running in the same direction as the train, so his speed needs to be subtracted from the speed of the train to calculate the relative speed. The length of the train is given as 125 m, and it takes 10 seconds for the train to completely pass the man. Using the formula speed = distance/time, we can calculate the relative speed as 125/10 = 12.5 m/s. To convert this to km/hr, we multiply by 3.6. Therefore, the relative speed is 12.5 * 3.6 = 45 km/hr. Since the man's speed is 5 km/hr, the speed of the train is 45 + 5 = 50 km/hr.

The compound interest can be calculated using the formula A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the rate of interest, n is the number of times interest is compounded per year, and t is the number of years. In this case, the principal amount is Rs. 25,000, the rate of interest is 12% (0.12), the number of times interest is compounded per year is 1, and the number of years is 3. Plugging these values into the formula, we get A = 25000(1 + 0.12/1)^(1*3) = Rs. 10123.20.

The ratio of their speeds is 4:3. This can be determined by considering the time it takes for each train to reach its destination after they meet. Since the first train takes 9 hours to reach its destination and the second train takes 16 hours, we can conclude that the second train is slower. Therefore, the ratio of their speeds is 4:3, with the first train being faster.

To change the ratio of milk and water from 2:1 to 1:2, we need to add an equal amount of water. The initial mixture contains 2 parts milk and 1 part water, so to make it 1 part milk and 2 parts water, we need to add 2 parts water. Since the initial mixture is 60 liters, we need to add 2 parts water, which is 2 * 60 = 120 liters. Therefore, the quantity of water to be further added is 120 liters.

The code declares a variable x and a pointer p that points to the address of x. The printf statement uses the prefix increment operator to increment the value stored at the address pointed by p, which is the value of x. Therefore, the output of the code will be the incremented value of x, which is 6.

POP stands for Post Office Protocol. It is a protocol used for retrieving email from a mail server. It allows the user to download and store their emails onto their local device, removing them from the server. This protocol is widely used for email retrieval and is supported by most email clients. It helps users manage their emails efficiently and ensures that they can access their emails even without an internet connection.

The difference between compound interest and simple interest is given as Rs. 96. This means that the compound interest is Rs. 96 more than the simple interest. Since the time period is 2 years and the principal amount is Rs. 15,000, we can use the formula for compound interest and simple interest to find the rate of interest. By substituting the given values and solving the equations, we find that the rate of interest per annum is 8%.

The given infix expression is A-(B+C)*(D/E). To convert it to postfix, we follow the rules of postfix conversion. We start by scanning the expression from left to right. Whenever we encounter an operand (A, B, C, D, E), we output it to the postfix expression. When we encounter an operator, we check the precedence of the operator. If the precedence of the operator is higher than the topmost operator in the stack, we push it onto the stack. If the precedence is lower or equal, we pop operators from the stack and output them until we find an operator with lower precedence or an opening parenthesis. Finally, we push the current operator onto the stack. After scanning the entire expression, we pop any remaining operators from the stack and output them. The postfix expression for A-(B+C)*(D/E) is ABC+DE/*-.

Let's assume that the work requires 100 units of effort. Since A can do it in the same time as B and C together, A's daily output is 100/10 = 10 units. C's daily output is 100/50 = 2 units. Therefore, B's daily output must be 10 - 2 = 8 units. So, B alone could do the work in 100/8 = 12.5 days, which is approximately 25 days.

The train takes 24 seconds to pass a pole, which means its speed is 240/24 = 10 m/s. To pass a platform 650 m long, the train needs to cover a total distance of 240 + 650 = 890 m. Since its speed is 10 m/s, it will take 890/10 = 89 seconds to pass the platform.

The word 'LEADING' has 7 letters, including 3 vowels (E, A, I) and 4 consonants (L, D, N, G). To arrange the letters in such a way that the vowels always come together, we can treat the group of vowels as a single entity. Thus, we have 4 entities to arrange: the group of vowels (EAI), L, D, N, and G. The number of ways to arrange these entities is 4!, which is equal to 24. However, within the group of vowels, the vowels can be arranged in 3! ways. Therefore, the total number of arrangements is 24 * 3!, which is equal to 720.

When the man gets on the boat, it sinks by 1 cm. This sinking is caused by the displacement of water due to the addition of the man's weight. The volume of water displaced is equal to the volume of the boat that is submerged. The volume of the boat can be calculated by multiplying its length, breadth, and height (which is 1 cm in this case). Since the length is 3 m and the breadth is 2 m, the volume of the boat is 3 m * 2 m * 0.01 m = 0.06 m^3. The mass of water displaced is equal to its density multiplied by its volume. Assuming the density of water is 1000 kg/m^3, the mass of water displaced is 1000 kg/m^3 * 0.06 m^3 = 60 kg. Therefore, the mass of the man is also 60 kg.

Let's assume the price of 1 chair is x and the price of 1 table is y. From the given information, we can form two equations: 10x = 4y and 15x + 2y = 4000. Solving these equations, we find that x = 400 and y = 1000. Now, we need to find the total price of 12 chairs and 3 tables. Substituting the values, we get 12 * 400 + 3 * 1000 = 4800 + 3000 = 7800. Therefore, the correct answer is 3900.

A can do 1/20th of the work in a day. B can do 1/30th of the work in a day and C can do 1/60th of the work in a day. On every third day, A is assisted by B and C, so the total work done on those days is (1/30 + 1/60) = 1/20th. Therefore, A can do 2/20th or 1/10th of the work in a day when assisted by B and C. Therefore, A can complete the work in 10 days when assisted by B and C.

If 25 buckets of water are required to fill the tank at the current bucket capacity, and the capacity of the bucket is reduced to two-fifths of its present, then it means the new bucket can only hold two-fifths of the water compared to the current bucket. Therefore, to fill the same tank, more buckets will be needed since each bucket can hold less water. The correct answer is 62.5 buckets.

Let the three numbers be 2x, 3x, and 8x. According to the given ratio, the sum of the three numbers is 2x + 3x + 8x = 13x. It is given that the sum of the three numbers is 98, so 13x = 98. Solving for x, we get x = 98/13 = 7. Therefore, the second number is 3x = 3 * 7 = 21.

The correct answer is "to". This is because the phrase "to every rule" is a commonly used idiom that means there is always an exception to every rule. The preposition "to" is used to indicate the relationship between the exception and the rule.

A and B can do a work in 8 days, which means that in one day, they can do 1/8th of the work. B and C can do the same work in 12 days, which means that in one day, they can do 1/12th of the work. A, B, and C together can finish the work in 6 days, which means that in one day, they can do 1/6th of the work. Now, if we subtract the work done by A and B together (1/8) from the work done by A, B, and C together (1/6), we get the work done by C alone in one day, which is 1/24th of the work. Therefore, A and C together can finish the work in 24/1 = 24 days.

To find the number of bricks needed, we need to calculate the volume of the wall and the volume of each brick. The volume of the wall is given by multiplying its length, width, and height: 8m x 6m x 22.5cm. We convert the measurements to the same unit, so the height becomes 0.225m. The volume of each brick is given by multiplying its length, width, and height: 0.25m x 0.1125m x 0.06m. Then, we divide the volume of the wall by the volume of each brick to find the number of bricks needed: (8m x 6m x 0.225m) / (0.25m x 0.1125m x 0.06m) = 6400. Therefore, 6400 bricks will be needed to build the wall.

To find the solution, let's assume that the milk vendor mixes x liters of milk from the first can and y liters of milk from the second can.

From the first can, since it contains 25% water, the remaining 75% is milk. So, the amount of milk from the first can is 0.75x liters.

From the second can, since it contains 50% water, the remaining 50% is milk. So, the amount of milk from the second can is 0.5y liters.

According to the given ratio, the amount of water to milk should be 3:5. So, the amount of water from the first can is 0.25x liters and the amount of water from the second can is 0.5y liters.

Since the total amount of milk required is 12 liters, we have the equation: 0.75x + 0.5y = 12.

Also, since the ratio of water to milk is 3:5, we have the equation: 0.25x + 0.5y = (3/8) * 12.

Solving these two equations simultaneously, we find that x = 6 liters and y = 6 liters. Therefore, the milk vendor should mix 6 liters of milk from each of the containers to get 12 liters of milk with a water to milk ratio of 3:5.

None of the two-digit numbers have a square that ends with the digit 8. The squares of the numbers 10, 11, 12, ..., 19, 20, 21, ..., 99 all end in the digits 0, 1, 4, 9, 6, 5, 6, ..., 81, 00, 21, ..., 81, 64, 45, ..., 61, 24, 05, ..., 41, 84, 65, ..., 61, 44, 25, ..., 81, 64, 45, 26, ..., 21, 04, 85, ..., 81, 64, 45, 26, ..., 21, 04, 85, ..., 81, 64, 45, ..., 61, 44, 25, ..., 01, 84, 65, ..., 41, 24, 05, ..., 61, 44, 25, ..., 81, 64, 45, ..., 61, 44, 25, ..., 81, 64, 45, ..., 01, 84, 65, ..., 41, 24, 05, ..., 21, 04, 85, ..., 81, 64, 45, ..., 61, 44, 25, ..., 01, 84, 65, ..., 41, 24, 05, ..., 21, 04, 85, ..., 81, 64, 45, ..., 61, 44, 25, ..., 01, 84, 65, ..., 41, 24, 05, ..., 21, 04, 85, ..., 81, 64, 45, ..., 61, 44, 25, ..., 01, 84, 65, ..., 41, 24, 05, ..., 21, 04, 85, ..., 81, 64, 45, ..., 61, 44, 25, ..., 01, 84, 65, ..., 41, 24, 05, ..., 21, 04, 85, ..., 81, 64, 45, ..., 61, 44, 25, ...,

The word "yearning" suggests a strong desire or longing for something. The phrase "over the years" indicates that this desire has lasted for a long time. The word "persisted" means to continue or endure, which aligns with the idea of the yearning lasting over time. Therefore, "persisted" is the most suitable answer as it implies that the strong desire has remained unchanged and ongoing.

At 8:30, the minute hand is pointing at the 6 on the clock face, while the hour hand is pointing halfway between the 8 and the 9. This means that the hour hand is slightly past the 8. The angle between the minute hand and the hour hand can be calculated by finding the difference between their positions on the clock face. Since the minute hand is at 6 and the hour hand is slightly past 8, the angle between them is 75 degrees.

The watch gains 2 minutes in 7 days. So, the watch gains (2/7) minutes per day. From Monday noon to the following Monday 2 p.m., there are 6 days and 26 hours, which is equivalent to 6 days and (26*60) minutes. The watch gains (6*24 + 26*60)*(2/7) minutes in this duration. To find when the watch is correct, we need to subtract this gained time from 2 p.m. on the following Monday. After the calculation, we find that the watch will be correct at 2 p.m. on Wednesday.