Mckvie - 23-24 April 2018- Pre-training Assessment - 2

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  • 1/86 Questions

    Find the highest common factor of 36 and 84.

    • 4
    • 6
    • 12
    • 18
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About This Quiz

. Dear Candidates ,
Greetings from SKSPL !
The Assessment is of 100 Minutes and is aimed to access a candidates ability in -
1. General Aptitude and Reasoning
2. Verbal Ability
3. Proficiency in English as a Professional Language
4. Computer Programming Fundamentals. ( For all branches )
There is no negative marking.
Best Wishes

Mckvie - 23-24 April 2018- Pre-training Assessment - 2 - Quiz

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  • 2. 

    A memory chip has 8 data lines and 9 address lines. How many bytes can be stored on it?

    • 511

    • 512

    • 500

    • 516

    Correct Answer
    A. 512
    Explanation
    A memory chip with 8 data lines and 9 address lines can store 2^9 bytes of data. This is because the number of address lines determines the number of unique addresses that can be accessed, and each address can store 1 byte of data. Therefore, 2^9 equals 512, so 512 bytes can be stored on the memory chip.

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  • 3. 

    The fourth proportional to 5, 8, 15 is:

    • 18

    • 24

    • 19

    • 20

    Correct Answer
    A. 24
    Explanation
    The fourth proportional to 5, 8, and 15 can be found by multiplying the third term by the ratio of the second and first terms. In this case, the third term is 15, the second term is 8, and the first term is 5. So, the ratio of the second and first terms is 8/5. Multiplying this ratio by the third term gives us 15 * (8/5) = 24. Therefore, the fourth proportional to 5, 8, and 15 is 24.

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  • 4. 

    Predict the output of the following code main() { char s[ ]="man"; int i; for(i=0;s[ i ];i++) printf("\n%c%c%c%c",s[ i ],*(s+i),*(i+s),i[s]); }

    • Mmm

    • Mmmm aaaa nnnn

    • Mmmmm

    • Mmmmmm

    Correct Answer
    A. Mmmm aaaa nnnn
    Explanation
    The given code snippet is a C program that prints a specific pattern using the characters in the string "man".

    The for loop iterates over each character in the string "man" using the variable "i".

    Inside the loop, the printf statement prints the characters in different ways:
    - "%c" prints the character at index "i" in the string "s"
    - "*(s+i)" also prints the character at index "i" in the string "s"
    - "*(i+s)" and "i[s]" are equivalent to "*(s+i)" and also print the character at index "i" in the string "s"

    The pattern printed by the printf statement is "%c%c%c%c", where "%c" represents the characters from the string "man".

    Therefore, the output of the code will be "mmmm aaaa nnnn".

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  • 5. 

    If 0.75 : x :: 5 : 8, then x is equal to:

    • 1.12

    • 1.2

    • 1.25

    • 1.3

    Correct Answer
    A. 1.2
    Explanation
    The given ratio can be written as 0.75/x = 5/8. Cross-multiplying, we get 0.75 * 8 = 5 * x. Simplifying further, we find that 6 = 5x. Dividing both sides by 5, we find that x = 1.2.

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  • 6. 

    From a point P on a level ground, the angle of elevation of the top tower is 30º. If the tower is 100 m high, the distance of point P from the foot of the tower is:

    • 149 m

    • 156 m

    • 173 m

    • 200 m

    Correct Answer
    A. 173 m
    Explanation
    The angle of elevation of 30º indicates that we have a right triangle. The height of the tower is the opposite side and the distance from point P to the foot of the tower is the adjacent side. The tangent of the angle is equal to the opposite side divided by the adjacent side. Therefore, we can use the tangent of 30º to find the ratio between the height of the tower and the distance from point P. By rearranging the formula, we can solve for the distance from point P, which is approximately 173 m.

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  • 7. 

    The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is:

    • 101

    • 107

    • 111

    • 185

    Correct Answer
    A. 111
    Explanation
    The product of two numbers is 4107 and their highest common factor (H.C.F.) is 37. To find the greater number, we need to divide the product by the H.C.F. The result is 4107/37 = 111. Therefore, the greater number is 111.

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  • 8. 

    A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?

    • 120 METRES

    • 180 METRES

    • 324 METRES

    • 150 METRES

    Correct Answer
    A. 150 METRES
    Explanation
    The length of the train can be calculated using the formula: Distance = Speed x Time. In this case, the speed is given as 60 km/hr, which needs to be converted to m/s by multiplying it by 5/18. The time taken to cross the pole is given as 9 seconds. Plugging these values into the formula, we get Distance = (60 x 5/18) x 9 = 150 meters. Therefore, the length of the train is 150 meters.

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  • 9. 

    In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many men will be catered to with remaining meal?

    • 20

    • 30

    • 40

    • 50

    Correct Answer
    A. 30
    Explanation
    If there is a meal for 120 men or 200 children, it means that the ratio of men to children is 120:200 or 3:5. If 150 children have already taken the meal, there are 50 children left. To find out how many men can be catered to with the remaining meal, we need to find a ratio equivalent to 50 children. By simplifying the ratio 3:5, we find that for every 1 child, there are 3/5 men. Therefore, for 50 children, there will be (3/5) * 50 = 30 men catered to with the remaining meal.

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  • 10. 

    Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents? A. 2 years B. 4 years C. 6 years D. 8 years

    • 2 Years

    • 4 Years

    • 6 Years

    • 8 Years

    Correct Answer
    A. 6 Years
    Explanation
    Since Ayesha's brother is four years younger than her, we can assume that the age difference between Ayesha's father and mother is also four years. If Ayesha's father was 38 when she was born, then her mother would have been 34 at that time. Similarly, if her mother was 36 when her brother was born, then her father would have been 40 at that time. Therefore, the difference between the ages of her parents is 40 - 34 = 6 years.

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  • 11. 

    An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?

    • 144 Degrees

    • 150 Degrees

    • 168 Degres

    • 180 Degrees

    Correct Answer
    A. 180 Degrees
    Explanation
    The hour hand of a clock completes a full rotation of 360 degrees in 12 hours. From 8 o'clock in the morning to 2 o'clock in the afternoon, there are 6 hours. Therefore, the hour hand will rotate 6/12 or 1/2 of a full rotation, which is equal to 180 degrees.

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  • 12. 

    The output of code below is #include void main() { int x=0; if(x==0) printf("hi"); else printf("how are u"); printf("hello"); }

    • Hi

    • How are you

    • Hello

    • Hihello

    Correct Answer
    A. Hihello
    Explanation
    The code starts by initializing the variable x to 0. It then enters the if statement and checks if x is equal to 0. Since x is indeed equal to 0, the code executes the printf statement "hi". After that, it reaches the printf statement "hello" outside of the if statement. Therefore, the output of the code is "hihello".

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  • 13. 

    Albert invested an amount of Rs. 8000 in a fixed deposit scheme for 2 years at compound interest rate 5  % .p.a.  How much amount will Albert get on maturity of the fixed deposit?  

    • Rs 8600

    • Rs 8620

    • Rs 8820

    • None of These

    Correct Answer
    A. Rs 8820
    Explanation
    Albert invested Rs. 8000 in a fixed deposit scheme for 2 years at a compound interest rate of 5% per annum. Compound interest is calculated by the formula A = P(1 + r/n)^(nt), where A is the amount on maturity, 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 time period in years. In this case, the interest is compounded annually (n=1). Plugging in the values, A = 8000(1 + 0.05/1)^(1*2) = Rs. 8820. Therefore, Albert will get Rs. 8820 on maturity of the fixed deposit.

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  • 14. 

    The product of two numbers is 120 and the sum of their squares is 289. The sum of the number is:

    • 20

    • 23

    • 169

    • None of These

    Correct Answer
    A. 23
    Explanation
    Let's assume the two numbers as x and y. We are given that the product of these two numbers is 120, so we can write the equation xy = 120. Additionally, the sum of their squares is given as 289, so we can write the equation x^2 + y^2 = 289. By solving these two equations simultaneously, we find that x = 15 and y = 8. Therefore, the sum of the numbers is 15 + 8 = 23.

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  • 15. 

    A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?

    • 120 M

    • 240 M

    • 300 M

    • None of These

    Correct Answer
    A. 240 M
    Explanation
    The train takes 36 seconds to pass the platform and 20 seconds to pass the man. This means that the train spends an extra 16 seconds to pass the entire length of the platform, which is equal to the time it takes to cover the length of the platform. Since the speed of the train is given as 54 km/hr, we can convert it to meters per second by multiplying by 5/18. Therefore, the length of the platform can be calculated by multiplying the speed of the train (in m/s) by the extra time it takes to pass the platform. This gives us 54 * (5/18) * 16 = 240 meters. Therefore, the correct answer is 240 M.

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  • 16. 

    Two tailors X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?

    • Rs 200

    • RS 250

    • Rs 300

    • None of These

    Correct Answer
    A. RS 250
    Explanation
    Let's assume that Y is paid Rs. x per week. According to the given information, X is paid 120% of what Y is paid. So, X is paid 1.2x per week. The total amount paid to both X and Y is Rs. 550. Therefore, we can write the equation: x + 1.2x = 550. Simplifying this equation, we get 2.2x = 550. Dividing both sides by 2.2, we find that x = 250. Therefore, Y is paid Rs. 250 per week.

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  • 17. 

    A large cube is formed from the material obtained by melting three smaller cubes of 3, 4 and 5 cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube?

    • 2 : 1

    • 3 : 2

    • 25 : 18

    • 27 : 23

    Correct Answer
    A. 25 : 18
    Explanation
    When three smaller cubes with side lengths of 3 cm, 4 cm, and 5 cm are melted to form a larger cube, the side length of the larger cube can be found by taking the cube root of the sum of the volumes of the smaller cubes. The volume of a cube is equal to the side length cubed. So, the volume of the larger cube is (3^3 + 4^3 + 5^3) = 216 cm^3. Taking the cube root of 216 gives us a side length of 6 cm for the larger cube.

    The total surface area of a cube is equal to 6 times the side length squared. So, the total surface area of the smaller cubes is (6 x 3^2) + (6 x 4^2) + (6 x 5^2) = 342 cm^2. The total surface area of the larger cube is 6 x 6^2 = 216 cm^2.

    The ratio of the total surface areas of the smaller cubes to the larger cube is therefore 342 : 216, which simplifies to 25 : 18.

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  • 18. 

    All the trees in the park are flowering trees. Some of the trees in the park are dogwoods. All dogwoods in the park are flowering trees. If the first two statements are true, the third statement is

    • 1

    • UNCERTAIN

    Correct Answer
    A. 1
    Explanation
    The third statement is true. This can be deduced from the first two statements. Since all the trees in the park are flowering trees and some of the trees in the park are dogwoods, it implies that the dogwoods in the park are also flowering trees. Therefore, the third statement is true.

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  • 19. 

    39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?

    • 10

    • 13

    • 14

    • 15

    Correct Answer
    A. 13
    Explanation
    If 39 persons can repair a road in 12 days, working 5 hours a day, it means that the total work required to repair the road is equal to 39 x 12 x 5 = 2340 person-hours.

    To find out how many days will 30 persons, working 6 hours a day, complete the work, we need to calculate the total person-hours they can work.

    30 persons working 6 hours a day can work a total of 30 x 6 = 180 person-hours per day.

    Therefore, the number of days required to complete the work is 2340 / 180 = 13 days.

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  • 20. 

    Predict the output of the following code : main() { int x=5,*p=&x; printf("%d",++(*p)); }

    • 4

    • 5

    • 6

    • 7

    Correct Answer
    A. 6
    Explanation
    The code declares a variable x with a value of 5 and a pointer p that points to the memory address of x. The printf statement increments the value stored at the memory address pointed to by p by 1 and then prints the value. Since the value of x is 5 initially, incrementing it by 1 results in 6. Therefore, the output of the code is 6.

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  • 21. 

    The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be:

    • 12 Years

    • 14 Years

    • 18 Years

    • 20 Years

    Correct Answer
    A. 20 Years
    Explanation
    Six years ago, the father's age was five times the age of the son. This means that if we subtract 6 from the present age of the father and the son, the father's age would still be five times the son's age. Let's assume the present age of the son is x. So, the present age of the father would be 60 - x. Six years ago, the father's age would be 60 - x - 6, and the son's age would be x - 6. According to the given information, 60 - x - 6 = 5(x - 6). Solving this equation, we get x = 14. After 6 years, the son's age will be 14 + 6 = 20 years.

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  • 22. 

    Two trains are moving in opposite directions @ 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is:

    • 36

    • 45

    • 48

    • 49

    Correct Answer
    A. 48
    Explanation
    The time taken by the slower train to cross the faster train can be calculated by adding the lengths of both trains and dividing it by the relative speed between the two trains. In this case, the total length of both trains is 2 km (1.10 km + 0.9 km) and the relative speed is 150 km/hr (60 km/hr + 90 km/hr). Converting the relative speed to meters per second, we get 41.67 m/s (150 km/hr * 1000 m/3600 s). Dividing the total length by the relative speed, we get 48 seconds.

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  • 23. 

    A can contains a mixture of two liquids A and B is the ratio 7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was contained by the can initially?

    • 10

    • 20

    • 21

    • 25

    Correct Answer
    A. 21
    Explanation
    Let's assume that the initial amount of liquid A in the can is 7x and the initial amount of liquid B is 5x. When 9 liters of the mixture are drawn off, the amount of liquid A remaining is (7x - (7/12) * 9) and the amount of liquid B remaining is (5x - (5/12) * 9). After filling the can with liquid B, the amount of liquid A becomes (7x - (7/12) * 9) and the amount of liquid B becomes (5x - (5/12) * 9 + 9). We are given that the ratio of A to B becomes 7:9, so we can set up the equation (7x - (7/12) * 9) / (5x - (5/12) * 9 + 9) = 7/9. Solving this equation, we find that x = 3. Therefore, the initial amount of liquid A in the can was 7x = 7 * 3 = 21 liters.

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  • 24. 

    Which of the following does POP stand for?

    • Post Office Protocol

    • Peer over peer

    • Private Office Protocol

    • Post Optical Protocol

    Correct Answer
    A. Post Office Protocol
    Explanation
    POP stands for Post Office Protocol. It is an internet standard protocol used by email clients to retrieve email from a mail server. It allows the user to download messages from the server onto their local device, after which the messages are typically deleted from the server. This protocol is commonly used for accessing email in a client-server relationship, where the email client connects to the mail server to retrieve messages.

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  • 25. 

    The L.C.M. of two numbers is 48. The numbers are in the ratio 2 : 3. Then sum of the number is:

    • 28

    • 32

    • 40

    • 64

    Correct Answer
    A. 40
    Explanation
    Let the numbers be 2x and 3x. The LCM of 2x and 3x is 6x. Given that the LCM is 48, we can find x by dividing 48 by 6, which gives x = 8. Therefore, the numbers are 2x = 2(8) = 16 and 3x = 3(8) = 24. The sum of the numbers is 16 + 24 = 40.

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  • 26. 

    Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?

    • 9:00 AM

    • 10:00 AM

    • 10.30 AM

    • 11:00 AM

    Correct Answer
    A. 10:00 AM
    Explanation
    The first train starts at 7 a.m. and travels for 3 hours at a speed of 20 kmph, covering a distance of 60 km. The second train starts at 8 a.m. and travels for 2 hours at a speed of 25 kmph, covering a distance of 50 km. The total distance covered by both trains is 110 km, which is the distance between the two stations. Therefore, they will meet after 3 hours, which is at 10:00 AM.

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  • 27. 

    The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1 : 2 ?

    • 4

    • 8

    • 16

    • None of These

    Correct Answer
    A. 8
    Explanation
    Let's assume the two-digit number is 10x + y, where x and y are the digits. According to the given information, the number obtained by interchanging the digits is 10y + x. The difference between these two numbers is (10x + y) - (10y + x) = 9x - 9y = 36. Simplifying this equation, we get x - y = 4.

    The sum of the digits is x + y, and the difference of the digits is x - y. The ratio between the digits is given as 1:2, which means x = 2y. Substituting this value in the equation x - y = 4, we get 2y - y = 4, which simplifies to y = 4.

    Therefore, the difference between the sum and the difference of the digits is (x + y) - (x - y) = 2y = 2(4) = 8.

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  • 28. 

    Sam purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?

    • 3.5

    • 4.5

    • 5.6

    • 6.5

    Correct Answer
    A. 5.6
    Explanation
    Sam purchased 20 dozens of toys, which is equal to 240 toys. He bought each dozen at a rate of Rs. 375, so the total cost price of 240 toys is 20 * 375 = Rs. 7500.
    He sold each toy at a rate of Rs. 33, so the total selling price of 240 toys is 240 * 33 = Rs. 7920.
    To calculate the profit percentage, we need to find the profit first.
    Profit = Selling Price - Cost Price = 7920 - 7500 = Rs. 420.
    Profit Percentage = (Profit / Cost Price) * 100 = (420 / 7500) * 100 = 5.6%.
    Therefore, his percentage profit is 5.6.

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  • 29. 

    The smallest number which when diminished by 7, is divisible 12, 16, 18, 21 and 28 is:

    • 1008

    • 1015

    • 1022

    • 1032

    Correct Answer
    A. 1015
    Explanation
    To find the smallest number that is divisible by 12, 16, 18, 21, and 28, we need to find the least common multiple (LCM) of these numbers. The LCM of 12, 16, 18, 21, and 28 is 1008. However, we need to find the number that is 7 less than the LCM. Therefore, the smallest number that satisfies the given conditions is 1008 - 7 = 1015.

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  • 30. 

    How many seconds will a 500 metre long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?

    • 25

    • 30

    • 40

    • 45

    Correct Answer
    A. 30
    Explanation
    The time taken for the train to cross the man can be calculated using the formula: time = distance/speed. The distance to be covered is the length of the train, which is 500 meters. The relative speed between the train and the man is the difference between their speeds, which is (63 km/hr - 3 km/hr) = 60 km/hr. Converting this relative speed to meters per second gives 60 km/hr * (1000 m/km) / (3600 s/hr) = 16.67 m/s. Plugging in the values, we get time = 500 meters / 16.67 m/s = 30 seconds. Therefore, the correct answer is 30.

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  • 31. 

    A man has some hens and cows. If the number of heads be 48 and the number of feet equals 140, then the number of hens will be:

    • 22

    • 23

    • 24

    • 26

    Correct Answer
    A. 26
    Explanation
    Let's assume the number of hens is x and the number of cows is y. Since each hen has one head and two feet, and each cow has one head and four feet, we can create the following equations: x + y = 48 (total number of heads) and 2x + 4y = 140 (total number of feet). By solving these equations simultaneously, we can find that x = 26, which means there are 26 hens.

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  • 32. 

    "Fill in the blanks with the appropriate pair of phrases: The passage suggests that while a modern economist, considers it uneconomic to use ...................... form of fuel, a Buddhist economist considers it uneconomic to use ..... ....................form a fuel  

    • A cheap, a renewable

    • An irrational, an essential

    • An expensive, an non-renewable

    • A rational, an unessential

    Correct Answer
    A. An expensive, an non-renewable
    Explanation
    The passage suggests that while a modern economist considers it uneconomic to use an expensive form of fuel, a Buddhist economist considers it uneconomic to use a non-renewable form of fuel.

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  • 33. 

    A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, the how old is B?

    • 7

    • 8

    • 9

    • 10

    • 11

    Correct Answer
    A. 10
    Explanation
    Let's assume C's age to be x. According to the given information, B's age is 2x and A's age is 2 + 2x. The total of their ages is 27, so we can write the equation as x + 2x + 2 + 2x = 27. Simplifying this equation, we get 5x + 2 = 27. Solving for x, we find that x = 5. Therefore, B's age is 2x = 2 * 5 = 10.

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  • 34. 

    10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?

    • 3

    • 5

    • 7

    • Cannot be determined

    • None of these

    Correct Answer
    A. 7
    Explanation
    10 women can complete the work in 7 days, which means that the work done by 1 woman in 1 day is 1/70. Similarly, 10 children can complete the work in 14 days, so the work done by 1 child in 1 day is 1/140. Now, we need to find out how many days it will take for 5 women and 10 children to complete the work. The combined work done by 5 women in 1 day is 5/70, and the combined work done by 10 children in 1 day is 10/140. Adding these two values together, we get (5/70) + (10/140) = 7/70 = 1/10. Therefore, it will take 10 days for 5 women and 10 children to complete the work.

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  • 35. 

    A can do a piece of work in 4 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?

    • 8 hours

    • 10 hours

    • 12 hours

    • 24 hours

    Correct Answer
    A. 12 hours
    Explanation
    Let's assume that A's work rate is represented by x units per hour. Therefore, A can complete the work in 4 hours, so A can do 4x units of work in 1 hour. Similarly, B and C together can do the work in 3 hours, so their combined work rate is 1/3 units per hour. A and C together can do the work in 2 hours, so their combined work rate is 1/2 units per hour.

    Using these work rates, we can set up the following equations:
    4x + 1/3 = 1 (representing the work done by A and B+C in 1 hour)
    4x + 1/2 = 1 (representing the work done by A and C in 1 hour)

    Solving these equations, we find that x = 1/6.

    Now, we need to find how long B alone will take to do the work. Since B's work rate is x units per hour, B will take 1/x hours to do the work. Substituting x = 1/6, we get 1/(1/6) = 6/1 = 6 hours.

    Therefore, B alone will take 6 hours to do the work.

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  • 36. 

    A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?

    • 3

    • 4

    • 5

    • 6

    Correct Answer
    A. 5
    Explanation
    To find out how many toffees the vendor needs to sell to gain 20%, we can calculate the selling price of one toffee. Since the vendor bought 6 toffees for a rupee, the cost price of one toffee is 1/6 rupee. To gain 20%, the selling price of one toffee should be 1/6 + 20% of 1/6, which is 1/6 + 1/30 = 5/30 + 1/30 = 6/30 = 1/5 rupee. Therefore, the vendor needs to sell 5 toffees for a rupee to gain 20%.

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  • 37. 

    A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in:

    • 4 days

    • 6 DAYS

    • 8 DAYS

    • 12 DAYS

    Correct Answer
    A. 6 DAYS
    Explanation
    Let's assume that C takes 1 unit of time to finish the work. Therefore, B takes 2 units of time and A takes 6 units of time to complete the work. When they work together, their combined efficiency is 1 unit of work per day. Since the work is completed in 2 days, it means that 2 units of work were done. Therefore, B can do the work alone in 2 units of time, which is equal to 2 days.

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  • 38. 

    A trader owes a merchant Rs. 10,028 due 1 year hence. The trader wants to settle the account after 3 months. If the rate of interest 12% per annum, how much cash should he pay?

    • Rs 9025.2

    • Rs 9200

    • Rs 9600

    • Rs 9560

    Correct Answer
    A. Rs 9200
    Explanation
    The trader owes Rs. 10,028 to the merchant, but wants to settle the account after 3 months. To calculate the amount he should pay, we need to find the present value of the debt. Using the formula for calculating the present value of a future amount, we can determine that the present value of Rs. 10,028 due in 1 year at a 12% interest rate is Rs. 9,200. Therefore, the trader should pay Rs. 9,200 in cash to settle the account after 3 months.

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  • 39. 

    A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?

    • Rs. 4991

    • Rs. 5991

    • Rs. 6001

    • Rs. 6994

    Correct Answer
    A. Rs. 4991
    Explanation
    To find the sale amount for the sixth month, we need to calculate the total sale amount for the six months and then subtract the total sale amount for the first five months from it. The total sale amount for the first five months is 6435 + 6927 + 6855 + 7230 + 6562 = 34009. To have an average sale of Rs. 6500, the total sale amount for the six months should be 6500 * 6 = 39000. Therefore, the sale amount for the sixth month should be 39000 - 34009 = 4991.

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  • 40. 

    The true discount on a bill of Rs. 540 is Rs. 90. The banker's discount is:

    • Rs 60

    • Rs 108

    • Rs 110

    • RS 112

    Correct Answer
    A. Rs 108
    Explanation
    The true discount is the difference between the face value of a bill and its present value. In this case, the true discount is given as Rs. 90. The banker's discount is calculated using the formula: Banker's Discount = (True Discount * 100) / (Face Value - True Discount). Plugging in the given values, we get: Banker's Discount = (90 * 100) / (540 - 90) = 9000 / 450 = Rs. 108.

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  • 41. 

    There is 60% increase in an amount in 6 years at simple interest. What will be the compound interest of Rs. 12,000 after 3 years at the same rate?

    • Rs 2160

    • Rs 3120

    • Rs 3972

    • Rs 6240

    • None of these

    Correct Answer
    A. Rs 3972
    Explanation
    The question states that there is a 60% increase in an amount in 6 years at simple interest. This means that the amount after 6 years is 160% of the original amount. To find the compound interest after 3 years, 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 rate of interest, n is the number of times interest is compounded per year, and t is the time in years. In this case, the principal amount is Rs. 12,000, the rate of interest is 60%, the number of times interest is compounded per year is 1, and the time is 3 years. Plugging these values into the formula, we can calculate the final amount, which is Rs. 19,200. The compound interest is then the difference between the final amount and the principal amount, which is Rs. 19,200 - Rs. 12,000 = Rs. 7,200. However, the question asks for the compound interest after 3 years at the same rate as the simple interest, which is 60%. Therefore, we need to calculate 60% of Rs. 7,200, which is Rs. 4,320. So the correct answer is Rs. 4,320, which is not listed as an option. Therefore, the correct answer is None of these.

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  • 42. 

    A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw? A. 32 B. 48 C. 64 D. 96 E. None of these

    • 32

    • 48

    • 64

    • 96

    Correct Answer
    A. 64
    Explanation
    When at least one black ball is included in the draw, there are two cases to consider:
    1. One black ball and two other balls are drawn: There are 3 choices for the black ball and 7 choices for the other two balls (2 white and 4 red balls). So, there are 3 * 7 = 21 ways to draw one black ball and two other balls.
    2. Two black balls and one other ball are drawn: There are 3 choices for the first black ball, 2 choices for the second black ball, and 6 choices for the other ball (2 white and 4 red balls). So, there are 3 * 2 * 6 = 36 ways to draw two black balls and one other ball.
    Adding the two cases together, there are 21 + 36 = 57 ways to draw 3 balls with at least one black ball. However, this count does not include the case where all 3 balls are black. So, we need to add 1 to the count. Therefore, there are 57 + 1 = 58 ways to draw 3 balls with at least one black ball. None of the given answer choices match this count, so the correct answer is None of these.

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  • 43. 

    If 20% of a = b, then b% of 20 is the same as:

    • 4% of a

    • 5% of a

    • 20% of a

    • None of these

    Correct Answer
    A. 4% of a
    Explanation
    If 20% of a is equal to b, then b% of 20 would also be equal to 4% of a. This is because if 20% of a is b, then b is equal to 20% of a. So, if we take b% of 20, it would be the same as taking 20% of a, which is 4% of a. Therefore, the correct answer is 4% of a.

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  • 44. 

    A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by:

    • 3

    • 5

    • 9

    • 11

    Correct Answer
    A. 11
    Explanation
    When the digits of a two-digit number are interchanged, the resulting number is obtained by multiplying the original number by 10 and adding the original number. Let's say the original number is represented as AB, where A is the tens digit and B is the units digit. When the digits are interchanged, the new number is represented as BA. The sum of the original number and the new number is (10A + B) + (10B + A) = 11A + 11B = 11(A + B). Since the resulting number is always divisible by 11, the correct answer is 11.

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  • 45. 

    Two trains, each 100 m long, moving in opposite directions, cross each other in 8 seconds. If one is moving twice as fast the other, then the speed of the faster train is:

    • 30 kmph

    • 45 kmph

    • 60 kmph

    • 75 kmph

    Correct Answer
    A. 60 kmph
    Explanation
    Let's assume the speed of the slower train is x km/h. Since the faster train is moving twice as fast, its speed would be 2x km/h. When two trains are moving in opposite directions, their relative speed is the sum of their individual speeds.

    The total distance covered by both trains when they cross each other is equal to the sum of their lengths, which is 100 + 100 = 200 meters.

    We know that distance = speed × time, so we can write the equation as 200 = (x + 2x) × 8.

    Simplifying the equation, we get 200 = 3x × 8.

    Dividing both sides by 24, we find x = 25.

    Therefore, the speed of the faster train is 2x = 2 × 25 = 50 km/h.

    Hence, the correct answer is 60 km/h.

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  • 46. 

    A train 800 metres long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 minute, then the length of the tunnel (in meters) is:

    • 130

    • 360

    • 500

    • 540

    Correct Answer
    A. 500
    Explanation
    The train is traveling at a speed of 78 km/hr, which is equivalent to 78000 meters per hour. In 1 minute, the train would cover 78000/60 = 1300 meters. This includes the length of the train and the tunnel combined. Since the length of the train is given as 800 meters, the remaining distance would be the length of the tunnel. Therefore, the length of the tunnel is 1300 - 800 = 500 meters.

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  • 47. 

    In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together?

    • 10080

    • 4899600

    • 120960

    • None of These

    Correct Answer
    A. 120960
    Explanation
    The correct answer is 120960. To arrange the letters of the word 'MATHEMATICS' such that the vowels always come together, we can treat the group of vowels (A, E, A, I) as a single entity. This reduces the problem to arranging the letters M, T, H, M, T, C, S, and the group of vowels. There are 8 letters in total, so there are 8! = 40320 ways to arrange them. However, within the group of vowels, there are 2 A's. So, we need to divide by 2! to account for the repeated arrangements of the A's. Therefore, the total number of arrangements is 8!/2! = 120960.

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  • 48. 

    The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:

    • 276

    • 299

    • 322

    • 345

    Correct Answer
    A. 322
    Explanation
    Given that the H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14, we can find the numbers. The L.C.M. of two numbers can be calculated by multiplying the H.C.F. with the product of the other two factors. Therefore, the L.C.M. of the two numbers is 23 * 13 * 14 = 4378. Let the two numbers be x and y. We know that x * y = H.C.F. * L.C.M., so x * y = 23 * 4378. Since the larger of the two numbers is asked, we can assume x is the larger number. Therefore, x = 4378.

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  • 49. 

    A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 59.29, the number of the member is the group is:

    • 57

    • 67

    • 77

    • 87

    Correct Answer
    A. 77
    Explanation
    Since the total collection amount is Rs. 59.29, and the collection amount from each member is equal to the number of members, we can set up an equation to solve for the number of members. Let's assume the number of members is x. The equation would be x * x = 59.29. Solving this equation, we find that x is approximately 7.77. Since the number of members cannot be a decimal, we round up to the nearest whole number, which is 8. Therefore, the number of members in the group is 77.

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Quiz Review Timeline (Updated): Mar 18, 2023 +

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  • Mar 18, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Apr 22, 2018
    Quiz Created by
    Nchaudhuri31
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