Mckvie - 23-24 April 2018- Pre-training Assessment - 1

The correct answer is "Vision : Sight" because just like illiteracy is the state of being uneducated, vision is the state of having sight. Both pairs have a similar relationship where one term represents a state or condition and the other term represents the characteristic or ability associated with that state.

The selling price of the cycle can be found by subtracting the loss from the original price. The loss is calculated by multiplying the original price by the loss percentage (15% of Rs. 1400 = Rs. 210). Subtracting the loss from the original price gives us Rs. 1400 - Rs. 210 = Rs. 1190, which is the selling price of the cycle.

A memory chip with 8 data lines can store 2^8 = 256 different combinations of data. Similarly, a memory chip with 9 address lines can address 2^9 = 512 different locations. Since each location can store one byte of data, the memory chip can store a total of 512 bytes.

The code snippet declares a character array `s` with the value "man". It then uses a for loop to iterate through each character of the array. Inside the loop, it uses the `printf` function to print the characters in a specific pattern. The pattern is "%c%c%c%c", where the first `%c` represents the current character `s[i]`, the second `%c` represents the character at the memory location `s+i`, the third `%c` represents the character at the memory location `i+s`, and the fourth `%c` represents the character at the memory location `i[s]`. Since the value of `i` changes in each iteration, the output will be a series of characters based on this pattern. The correct answer "mmmm aaaa nnnn" matches the output of the code.

The phrase "God in man" implies that there are divine qualities present in man. This suggests that humans have the potential to possess and exhibit godly characteristics or qualities. It does not necessarily mean that God has assumed the shape of man or that man has been transformed into God.

The ratio of the first number to the second number is 5:03. This can be determined by setting up an equation based on the given information. Let's assume the first number is x and the second number is y. We are told that 40% of x is equal to two-thirds of y. Mathematically, this can be written as 0.4x = (2/3)y. To find the ratio, we can simplify this equation by multiplying both sides by 10/4, resulting in x = (5/3)y. Therefore, the ratio of the first number to the second number is 5:03.

To find the least number that satisfies the given conditions, we need to find the least common multiple (LCM) of 5, 6, 7, and 8. The LCM of these numbers is 840. Adding 3 to this number will give us the desired number that leaves a remainder of 3 when divided by 5, 6, 7, and 8. Therefore, the correct answer is 840 + 3 = 843. However, this number does not leave a remainder of 0 when divided by 9. The next multiple of 840 is 1680, which also does not satisfy the condition. The next multiple, 2520, also does not work. Finally, the next multiple, 3360, satisfies the condition as it leaves a remainder of 3 when divided by 5, 6, 7, and 8, and leaves no remainder when divided by 9. Hence, the correct answer is 3360 + 3 = 3363.

The present ages of the three persons are in the ratio 4:7:9. Let's assume the ages of the three persons to be 4x, 7x, and 9x respectively.

Eight years ago, their ages would have been (4x-8), (7x-8), and (9x-8) respectively.

According to the given information, the sum of their ages eight years ago was 56.

So, (4x-8) + (7x-8) + (9x-8) = 56.

Simplifying the equation, we get 20x = 80.

Dividing both sides by 20, we find x = 4.

Therefore, the present ages of the three persons are 4x = 16, 7x = 28, and 9x = 36 respectively.

Hence, the correct answer is 16, 28, 36.

The author believes that the "salvation" of human beings lies in the spiritual transformation of life. This suggests that the author believes that true fulfillment and happiness can be achieved through a deep inner change and connection with something greater than oneself. This is in contrast to the other options, which focus on external factors such as trade relations, national pride, and political participation.

Let's assume the two consecutive even numbers as x and x+2. The difference of their squares can be written as (x+2)^2 - x^2 = 84. Expanding this equation, we get x^2 + 4x + 4 - x^2 = 84. Simplifying further, we get 4x + 4 = 84. Subtracting 4 from both sides, we get 4x = 80. Dividing both sides by 4, we get x = 20. Therefore, the sum of the two consecutive even numbers is 20 + (20+2) = 42.

If 6 identical machines can produce 270 bottles per minute, then each machine can produce 270/6 = 45 bottles per minute. Therefore, in 4 minutes, each machine can produce 45 x 4 = 180 bottles. Since there are 10 machines, the total number of bottles produced in 4 minutes by 10 machines is 180 x 10 = 1800 bottles.

The sum of the squares of the three numbers can be represented as (3x)^2 + (4x)^2 + (5x)^2 = 1250, where x is the common ratio. Simplifying the equation, we get 9x^2 + 16x^2 + 25x^2 = 1250. Combining like terms, we have 50x^2 = 1250. Dividing both sides by 50, we find that x^2 = 25. Taking the square root of both sides, we get x = 5. Therefore, the three numbers are 15, 20, and 25. The sum of these numbers is 15 + 20 + 25 = 60.

To find the required run rate for the remaining 40 overs, we need to calculate the total runs required in those overs. Since the first 10 overs had a run rate of 3.2, the total runs scored in those overs would be 10 * 3.2 = 32. Therefore, the remaining runs required to reach the target of 282 would be 282 - 32 = 250. To calculate the run rate, we divide the remaining runs by the number of overs, which gives us 250 / 40 = 6.25. Therefore, the required run rate in the remaining 40 overs to reach the target is 6.25.

The third statement is true. This can be deduced by comparing the statements. Since blueberries cost more than strawberries and raspberries cost more than blueberries, it can be concluded that raspberries cost more than strawberries and blueberries.

The winning candidate received 11628 votes out of a total of (1136+7636+11628) = 20400 votes. To find the percentage, we divide the winning candidate's votes by the total votes and multiply by 100. So, the winning candidate received (11628/20400) * 100 = 57% of the total votes.

The author's use of the expression "ugly deformities" suggests that they are expressing strong disapproval or anger towards something. Out of the given options, the expression is most likely used to show the author's indignation at the selfishness and materialism of the people. This implies that the author finds these traits to be morally repugnant and believes that they are negatively impacting society.

Since the money is distributed in the proportion of 5:2:4:3, we can assume that the total amount is 14x (where x is a constant). Therefore, A's share is 5x, B's share is 2x, C's share is 4x, and D's share is 3x.

Given that C gets Rs. 1000 more than D, we can write the equation 4x = 3x + 1000. Solving this equation, we find that x = 1000.

Therefore, B's share is 2x = 2 * 1000 = Rs. 2000.

The greatest number that will divide all three given numbers and leave the same remainder in each case is the highest common factor (HCF) of the numbers. In this case, the HCF of 43, 91, and 183 is 4. This means that 4 is the largest number that can evenly divide all three numbers and leave the same remainder.

To obtain an income of Rs. 650 from a 10% stock at Rs. 96, we can use the formula: Investment = (Income / Rate) * 100. Plugging in the given values, we get Investment = (650 / 10) * 100 = Rs. 6500. However, this is the total investment required. To find the initial investment, we need to subtract the income from the total investment. Therefore, the initial investment required is Rs. 6500 - Rs. 650 = Rs. 6240.

To find the greatest number of four digits that is divisible by 15, 25, 40, and 75, we need to find the least common multiple (LCM) of these numbers. The LCM of 15, 25, 40, and 75 is 600. To find the greatest four-digit number divisible by 600, we divide 9999 by 600 and find that the quotient is 16. Therefore, the greatest number of four digits divisible by 15, 25, 40, and 75 is 600 multiplied by 16, which is 9600.

The word 'LOGARITHMS' has 10 letters. We need to form 4-letter words without repetition. The number of ways to select the first letter is 10. After selecting the first letter, we have 9 letters left to choose from for the second letter. Similarly, we have 8 choices for the third letter and 7 choices for the fourth letter. Therefore, the total number of 4-letter words without repetition is 10 * 9 * 8 * 7 = 5040.

The code starts by initializing the variable x to 0. Then, it checks if x is equal to 0. Since x is indeed equal to 0, the condition is true and the code inside the if statement is executed. The printf statement inside the if statement prints "hi". After that, the code continues to execute the printf statement outside the if statement, which prints "hello". Therefore, the output of the code is "hihello".

POP stands for Post Office Protocol. It is a protocol used for retrieving email from a mail server. It allows users to download their email messages to their local devices, such as computers or mobile devices, and read them offline. The other options, Peer over peer, Private Office Protocol, and Post Optical Protocol, are not correct explanations for the acronym POP.

The correct answer is "put off." This means that even if it rains all day, the person will not be able to postpone or delay their journey.

20% of the numbers from 1 to 70 have 1 or 9 in the unit's digit. To find this percentage, we need to count the numbers from 1 to 70 that have 1 or 9 in the unit's digit and divide it by the total number of numbers from 1 to 70. The numbers with 1 or 9 in the unit's digit are 1, 9, 11, 19, 21, 29, ..., 61, 69. There are 7 numbers with 1 or 9 in the unit's digit. So, the percentage is 7/70 = 0.1 or 10%. However, the question asks for the percentage of numbers with 1 or 9 in the unit's digit, so we need to double this percentage since there are two digits (1 and 9) that satisfy the condition. Therefore, the correct answer is 20%.

The two trains are crossing each other in opposite directions, so their relative speed is the sum of their individual speeds. Since the lengths of the trains are equal, the total distance they need to cross each other is 2 times the length of one train.

Let's calculate the speed of each train first. The speed of the first train is 120 meters divided by 10 seconds, which is 12 m/s. The speed of the second train is 120 meters divided by 15 seconds, which is 8 m/s.

To find the time it takes for the trains to cross each other, we need to divide the total distance they need to cross (2 times the length of one train) by their relative speed.

The total distance is 2 times 120 meters, which is 240 meters.

The relative speed is 12 m/s plus 8 m/s, which is 20 m/s.

Dividing the total distance by the relative speed, we get 240 meters divided by 20 m/s, which is 12 seconds.

Therefore, the two trains will cross each other in 12 seconds.

Let's assume the two numbers are x and y. We are given that the product of the two numbers is 9375, so we have xy = 9375. We are also given that the quotient when the larger number is divided by the smaller number is 15, so we have x/y = 15. From these two equations, we can solve for x and y. By substituting y = 9375/x into the second equation, we get x/(9375/x) = 15. Simplifying this equation, we get x^2 = 9375*15 = 140625. Taking the square root of both sides, we get x = 375. Substituting this value back into the equation xy = 9375, we get 375y = 9375, so y = 25. The sum of the numbers is x + y = 375 + 25 = 400. Therefore, the correct answer is 400.

The father's age at the time of the son's birth was 38 years. Since the father stated that he was as old as the son is now at the time of the son's birth, it means that the son's current age is 38 years. Therefore, five years back, the son's age would have been 38 - 5 = 33 years.

The flagstaff and the building are similar triangles since they are both casting shadows under similar conditions. The ratio of the height of the flagstaff to its shadow is the same as the ratio of the height of the building to its shadow. Therefore, we can set up a proportion: (17.5 m / 40.25 m) = (x / 28.75 m). Solving for x, we find that x is approximately 12.5 m. Therefore, the height of the building is 12.5 m.

The man has an equal number of one-rupee notes, five-rupee notes, and ten-rupee notes. Let's assume that he has x number of each denomination. Therefore, the total value of the one-rupee notes is x, the total value of the five-rupee notes is 5x, and the total value of the ten-rupee notes is 10x. The sum of these values should equal Rs. 480. So, x + 5x + 10x = 480. Simplifying this equation, we get 16x = 480, which means x = 30. Since he has an equal number of each denomination, the total number of notes he has is 30 + 30 + 30 = 90.

When the cost increases by 25%, the new cost becomes 125% of the original cost. Since the selling price remains constant, the profit is still 320% of the original cost. To find the percentage of the selling price that is the profit, we can divide the profit by the selling price.

Let's assume the selling price is 100. The original cost would then be 100/4.2 = 23.81 (approximately). After the cost increases by 25%, the new cost becomes 23.81 * 1.25 = 29.76 (approximately). The profit is still 23.81 * 3.2 = 76.19 (approximately).

Therefore, the percentage of the selling price that is the profit is 76.19/100 * 100 = 76.19% (approximately), which is closest to 70%.

To calculate the least number of complete years in which a sum of money put out at 20% compound interest will be more than doubled, we need to find the number of years it takes for the amount to reach or exceed twice the initial sum. Since the interest is compounded annually, the amount will double after 5 years (20% interest compounded annually for 5 years will result in a doubling of the initial sum). However, the question asks for the least number of complete years, so the correct answer is 4.

The train crosses a 250 m long platform in 26 seconds. This means that the train covers a distance equal to its own length plus the length of the platform in 26 seconds. Since the length of the platform is given as 250 m, the train must have covered a distance of 250 m + its own length in 26 seconds. We can set up the equation 250 + length = speed × time, where the speed is given as 72 kmph and the time is given as 26 seconds. By solving this equation, we can find the length of the train, which is 270 m.

The question asks how many ways a committee can be formed from a group of 8 men and 10 women. Since the committee consists of 5 men and 6 women, we need to choose 5 men from the 8 available and 6 women from the 10 available. The number of ways to choose k items from a set of n items is given by the combination formula nCk = n! / (k!(n-k)!). Therefore, the number of ways to form the committee is 8C5 * 10C6 = (8! / (5!(8-5)!)) * (10! / (6!(10-6)!)) = 56 * 210 = 11,760.

The code declares an integer variable x and a pointer variable p, which points to the address of x. The printf statement uses the prefix increment operator to increment the value stored at the address pointed to by p, which is x. Therefore, the value of x is incremented by 1 before being printed. The output will be 6.

Since A works twice as fast as B, it means that A can complete the work in half the time it takes B. If B can complete the work in 12 days, then A can complete it in 6 days. Therefore, if A and B work together, their combined speed is the sum of their individual speeds, which means they can finish the work in 4 days.

Let the price of the third variety be Rs. x per kg. Since the ratio of the first variety to the second variety to the third variety is 1:1:2, we can set up the following equation: (126 + 135 + 2x)/4 = 153. Solving this equation, we get 261 + 2x = 612. Simplifying further, we find that 2x = 351. Dividing both sides by 2, we get x = 175.50. Therefore, the price of the third variety per kg is Rs. 175.50.

The ratio of the speeds of the two trains can be determined by comparing the time taken for them to cross the man on the platform. Since the trains are running in opposite directions, their combined speed is the sum of their individual speeds. Therefore, the ratio of their speeds is equal to the inverse ratio of the time taken to cross the man. In this case, the first train takes 27 seconds to cross the man and the second train takes 17 seconds. So, the ratio of their speeds is 17:27, which simplifies to 3:2.

The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. This means that the original number is greater than the number obtained by interchanging its digits. Let's assume the original number is AB, where A is the tens digit and B is the units digit. The number obtained by interchanging the digits is BA. The difference between these two numbers is (10A + B) - (10B + A) = 9A - 9B = 36. Simplifying this equation, we get A - B = 4. Therefore, the difference between the two digits is 4.

Let's assume Rahul's savings in National Savings Certificate is x. According to the given information, one-third of x is equal to one-half of his savings in Public Provident Fund. So, (1/3)x = (1/2)(150000 - x). Solving this equation, we get x = 60000. Therefore, Rahul has saved Rs 60000 in Public Provident Fund.

The train is 360 m long and is running at a speed of 45 km/hr. To pass a bridge that is 140 m long, the train needs to cover a total distance of 360 m + 140 m = 500 m. The speed of the train is given in km/hr, so it needs to be converted to m/s by dividing it by 3.6. Therefore, the speed of the train is 45 km/hr ÷ 3.6 = 12.5 m/s. To find the time it takes for the train to pass the bridge, we divide the total distance by the speed: 500 m ÷ 12.5 m/s = 40 sec.

176 has the most number of divisors compared to the other given numbers. The number 176 can be divided evenly by 1, 2, 4, 8, 11, 16, 22, 44, 88, and 176, totaling 10 divisors. In contrast, the other numbers have fewer divisors. 99 has 6 divisors (1, 3, 9, 11, 33, 99), 101 has 2 divisors (1, 101), and 182 has 8 divisors (1, 2, 7, 13, 14, 26, 91, 182). Therefore, 176 has the most number of divisors.

The speed of the boat in still water is given as 15 km/hr and the rate of the current is 3 km/hr. When the boat is moving downstream, the speed of the boat relative to the ground is the sum of the speed of the boat in still water and the rate of the current, which is 15 km/hr + 3 km/hr = 18 km/hr.

To find the distance traveled downstream in 12 minutes, we need to convert the time to hours. There are 60 minutes in an hour, so 12 minutes is equal to 12/60 = 0.2 hours.

The distance traveled downstream is given by the formula: distance = speed x time. Plugging in the values, we get: distance = 18 km/hr x 0.2 hr = 3.6 km.

Therefore, the distance traveled downstream in 12 minutes is 3.6 km.

The given information states that the ratio of Ravi's salary to Sumit's salary is 2:3. This means that if Ravi's salary is represented by 2x, then Sumit's salary would be 3x.

The question also states that when both of their salaries are increased by Rs. 4000, the new ratio becomes 40:57. This means that the new salaries would be 2x + 4000 and 3x + 4000 respectively.

To find the value of x, we can set up the equation (2x + 4000)/(3x + 4000) = 40/57. Solving this equation gives x = 7000.

Therefore, Sumit's salary (3x) would be 3 * 7000 = Rs. 21000.

The sum of three numbers can be found by dividing the product of the first two numbers and the product of the last two numbers by the common factor. In this case, the common factor is 1 because the numbers are co-prime. Therefore, the sum of the three numbers is (551/1) + (1073/1) = 551 + 1073 = 1624.

If 4 mat-weavers can weave 4 mats in 4 days, it means that each mat-weaver can weave 1 mat in 4 days. Therefore, if there are 8 mat-weavers, they can weave 8 mats in 4 days. Since the rate of weaving is the same, in 8 days, they would be able to weave double the number of mats, which is 16.

The speed of the boat in standing water is 9 kmph and the speed of the stream is 1.5 kmph. When the boat is rowing upstream against the stream, its effective speed is reduced by the speed of the stream, so the speed is 9 - 1.5 = 7.5 kmph. When the boat is rowing downstream with the stream, its effective speed is increased by the speed of the stream, so the speed is 9 + 1.5 = 10.5 kmph. The total distance traveled by the man is 105 km, so the total time taken is 105 / (7.5 + 10.5) = 105 / 18 = 5.83 hours. Since the man also has to row back to the starting point, the total time taken is 5.83 hours x 2 = 11.67 hours, which is approximately 12 hours. Therefore, the correct answer is 24 hours.

To find the average percent increase of the population per year, we need to calculate the total percent increase over the decade and then divide it by 10. The initial population is 1,75,000 and the final population is 2,62,500. The total increase in population is 2,62,500 - 1,75,000 = 87,500. To find the percent increase, we divide the total increase by the initial population: 87,500 / 1,75,000 = 0.5. Finally, we divide the percent increase by 10 to get the average percent increase per year: 0.5 / 10 = 0.05 or 5%.

The ratio of the two numbers is 3:4, which means that one number is 3x and the other number is 4x, where x is a common factor. The highest common factor (H.C.F) of the two numbers is 4, which means that 4 is a common factor of both numbers. The least common multiple (L.C.M) is the smallest number that is divisible by both numbers. Since the H.C.F is 4, the L.C.M must be a multiple of 4. The only option that is a multiple of 4 is 48. Therefore, the L.C.M of the two numbers is 48.

The angle of elevation of the ladder leaning against the wall is given as 60º. This means that the ladder forms a right-angled triangle with the wall and the ground. The length of the ladder is the hypotenuse of this triangle. The foot of the ladder is 4.6 m away from the wall, which is the base of the triangle. Using trigonometry, we can find the length of the ladder by using the sine function: sin(60º) = opposite/hypotenuse. Solving for the hypotenuse, we get hypotenuse = opposite/sin(60º) = 4.6 m/sin(60º) ≈ 9.2 m. Therefore, the length of the ladder is 9.2 m.