Archives: Quizzes & Surveys

  • BANKING TEST SERIES (PIPE & CISTERN 3

    Welcome to your BANKING TEST SERIES (PIPE & CISTERN 3

    1. A container can be filled by two pipes P1 and P2 in 40 hours and 20 hours respectively. It will take ________ hours to fill the container from empty state if P2 is used for half the time and P1 and P2 fill it together for the other half.

    A tank can be filled in 40 minutes but there are two leakages, one at the bottom of the tank which can empty the full tank in 80 minutes and other at the mid of the tank which can empty the tank in 120 minutes. In how many minutes tank can be filled?

    Directions: Information about three values have been given, you have to calculate the value of all three quantities and answer the question accordingly.
    X: 60 Men could do a job in 40 days. Due to inclusion of some more Men, the work gets completed in 4/5 time. Fine the number of men added.
    Y: A can finish the work in 5 days, while B takes 12 days to complete the same work. If A starts and they work on alternative days, Find the number of days taken to complete the work.
    Z: A pipe can fill 40% of the tank in 6 hours. B can empty 30% of the same tank in 12 hours. If the tank is already half filled, find the time taken to fill the tank when both the pipes are opened together.

    4. Pipe A can fill a tank in 8 hours and pipe B can empty it in 20 hours. Initially, pipe A alone is operated for 2 hours when the tank was empty. Later, pipe B is opened. How much more time will it take for the tank to be full?

    5. There was a leakage in the petrol tank. If 5 litre of petrol is leaked out per day then it would have lasted for 30 days. If the leakage was 7 litre per day, then it would have lasted for only 24 days. For how many days would the petrol have lasted, if there is no leakage and it was completely used for the vehicle?

    6. 3 men fill a water tank using buckets in 8hr. 2 men and 4 women fill the same tank in 6hr. The first 2hr tank was filled by 2 men after that remaining tank was filled by 1 man and 3 women. If a hole is found in the tank then tank takes 2hr more to fill. How much time taken by the hole to empty the water in the water tank?

    7. A tank is filled by 3 pipes; second pipe take 5 hours more than first pipe and 5 hours less than third pipe to fill the tank alone. If second and third pipe together take 1 hour more than first pipe to fill the tank, then find out how much time second pipe will take to fill the tank alone?

    8. Pipe A and Pipe B can fill the water tank in 8 hours and 12 hours. Pipe C can empties the water tank in 16 hours. All pipes are open in the sequence of pipe A and pipe B and pipe C alternatively hours. In how much time the water tank filled?

    9. A black pipe can empty a tank in 8 hours, while a red pipe can fill it in 3 hours. If the tank is initially half-filled and the red pipe is opened in it, how many black pipes are required in total to be opened in it to empty the tank in 12 hours?

    10. Tap A and B fill a tank in 6 hours and 8 hours respectively and tap C empties the tank in 12½ hours. If all the taps are opened simultaneously, then in how much time(approximate) the tank will be half-filled?

    11. Two pipes can fill a cistern in 12 minutes and 24 minutes respectively. The pipes are opened simultaneously, and it is found that due to leakage in the both pipes it took 2 minutes more to fill the cistern. When the tank is completely full, in what time will the leak empty it?

    12. A pipe A can fill 3/4th of a cistern in 15 hours and pipe B can fill 2/3rd of the same cistern in 20 hours. If both the pipes open simultaneously then find the time taken by them to fill 80% of the cistern. 

    13. Pipe A and B together can fill the cistern in 15 minutes. If both the pipes are opened together and after 5 minutes pipe A is closed and remaining tank is filled by B in next 5 minutes, then in how many minutes pipe B alone will fill the tank?

    14. Seema can make a bundle of roties in 12 minutes and Samir can make the same bundle of roties in 15 minutes. Together they make 6 fewer roties per minute and complete the bundle in 10 minutes. Find the number of roties in the bundle.

    15. Pipe A and B can fill a tank in 8 hrs and 12 hrs respectively while pipe C can empty it in 18 hrs. If all the pipes are opened together and Pipe C is closed 6/11 hours before filling the tank. Find the total time in which the tank is filled.

    16. There is a leakage at the bottom of the tank which can empty the tank in 60 hours. Pipe A can fill the tank in 10 hours while pipe B can empty the tank in 40 hours. If pipe A alone opened till 3/4th tank gets filled and then pipe B is opened. In how many hours tank gets completely filled?

    17. Pipe A can fill the tank in one hour but every hour its efficiency decreases to 1/12 for first hour, 1/9 for second hour and 1/6 for third hour of its original efficiency. Another pipe B can fill the tank in 2 hours but follows the same process as of first pipe. Find the time taken by both to fill the tank of 7/24 of its capacity with their varying efficiency.

    18. 9 taps are fitted in a tank in which some are inlet taps and some are outlet taps. Each inlet tap can fill the tank in 20 hours and each outlet tap can empty the tank in 30 hours. Find the number of outlet taps if the whole tank is filled in 5 hours when all the 9 taps are open.

    19. 12 taps are fitted in a tank in which some are inlet taps and some are outlet taps. Each inlet tap can fill the tank in 30 hours and each outlet tap can empty the tank in 40 hours. Find the number of outlet taps if the whole tank is filled in 6 hours when all the 12 taps are open.

    20. There is a leak in the bottom of the tank. This leak can empty the tank in 15 hours. Tap A alone can fill the tank in 6 hours. Tap A opens for 4 hours after that remaining part of the tank is filled by tap B in 18 hours. When both pipes are opened simultaneously, then in what time tank is completely filled?

    21. Pipe A takes 10 hours more than Pipe B to fill a tank. Pipe C(which is equally efficient as Pipe A and Pipe B together), fills the same tank in 12 hours. In how many hours will Pipe A, Pipe B and Pipe C fill the tank if Pipe A is accompanied by B and C on alternate hours.

  • BANKING TEST SERIES (PIPE & CISTERN 2)

    Welcome to your BANKING TEST SERIES (PIPE & CISTERN 2)

    1. Tap A can empty the tank in 20 hours. B and C can fill the same tank in 10 and 12 hours respectively. All the taps are opened simultaneously. Find the time required for the tank to get filled completely.

    2. Two pipes X and Y can fill a tank in 6 hours and 9 hours respectively. If they are turned on alternately for one hour each starting with X then what will be the time taken to fill the tank?

    3. Two pipes A and B can fill a tank in 18 and 36 hours respectively. An outlet pipe C can empty it in 24 hours. If they opened together, then in how many hours the 3/4th of the capacity of the tank is filled?

    4. There is a water tank which is 2/5th full. Pipe A can fill that tank in 4 hrs and pipe B can empty that tank in 6 hrs. If both pipes are open together, then find the time taken (in hrs.) to fill that tank completely?

    5. Pipe A can fill the tank 2 times faster than pipe B and pipe C can fill the tank 3 times faster than pipe A. If pipe A can fill the tank in 15 minutes, then in how many minutes all the pipes fill the tank?

    6. Three taps A, B, and C can fill a tank in 12 mins, 15 mins and 20 mins respectively. All the three taps are opened simultaneously. But due to some obstacles it was found that only 2/5th of water from A, 3/4th of water from B and 2/3rd of water from C flows through them. After removing the obstacles if was found that it takes <span id="MathJax-Element-6-Frame" class="MathJax" style="display: inline;font-style: normal;font-weight: normal;line-height: normal;font-size: 14px;text-indent: 0px;text-align: left;text-transform: none;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;padding: 0px;margin: 0px;color: inherit !important;background-color: inherit !important;position: relative" role="presentation" data-mathml="312″>3  1/2 minutes to fill the tank. Find the time after which the obstacles were removed.

    7. Pipe X fills a cistern of volume 3000 units in 4 hours. Pipe Y fills a cistern of 2500 units in 5 hours. How much time will both the pipes together take to fill a cistern of 4800 units?

    8. A tank can be filled by two pipes A and B in 4 hours. It can be filled by pipes B and C in 6 hours. How much time will A alone take to fill the tank, if all three of them fills the tank in 2 hours?

    9. Pipe A can fill the tank in 12 hours, Pipe B can fill the tank in 15 hours, While Pipe C can empty the tank. If all the pipes opened at once tank can be filled in 10 hours. Pipe C can empty 150 liters of a tank in 1 hour. Find the capacity of a tank in liters.

    10. Pipe P alone can fill the tank in 20 hours while Pipe Q can empty the tank in 30 hours. Pipe R alone can fill the tank in certain hours. If all three pipes are opened simultaneously for 5 hours and then pipe R is closed. Pipe P and Pipe Q takes 30 hours to fill the remaining tank. Pipe R alone can fill the tank in –

    11. A tank which could be filled in 8 hours takes two hours more to be filled due to leakage in the tank. If the tank is full, find the time in which leakage empty the tank.

    12. Pipe A fills twice as fast as pipe B and pipe B fills twice as fast as pipe C. Pipe C can fill a tank in 20 hours. In how many hours will the tank fill if all the pipes are opened?

    13. 6 taps are fitted in a tank in which some are inlet taps and some are outlet taps. Each inlet tap can fill the tank in 18 hours and each outlet tap can empty the tank in 54 hours. Find the number of outlet taps if the whole tank is filled in 9 hours when all the 6 taps are open.

    14. A pipe takes 2 hrs to fill 23 litre water and another takes 3 hrs to fill 17 litre. If both the pipes are kept open, how much approximate time will it take to fill 80 litres of water in the tank?

    15. To fill the tank Pipe A and Pipe B takes 12hours. Pipe B and Pipe C takes 9 hours to fill the tank and Pipe C and Pipe A together take 15 hours to fill the tank. Find the time taken to fill the tank when Pipe A, Pipe B and Pipe C opened together(approximately).

    16. Two pipes A and B alone can fill a cistern in 15 minutes and 25 minutes respectively. If both pipes A and B are opened together, then after how much time pipe A is closed so that cistern is full in 15 minutes?

    17. Two pipe can fill a tank in 18 minutes and 15 minutes. An outlet pipe can empty the tank in 45 minutes. In how much time three pipe can fill the tank. 

    18. A pipe can fill a bucket in 3 hours but due to a hole at the bottom, it takes 5 hours to fill the bucket. How much time will it take to empty the bucket if it was full?

    19. Two pipes can fill a tank in 8 hours and 12 hours respectively. Both the pipes are opened together but due to a leakage in the tank, it takes 24 hours to fill the tank. If the tank is full, how long will the leakage take to empty the tank?

  • BANKING TEST SERIES (PIPE & CISTERN 1)

    Welcome to your BANKING TEST SERIES (PIPE & CISTERN 1)

    1. Pipe A can fill the tank in 12 hours and pipe B can fill the tank in 20 hours. A third pipe C empties the tank in 30 hours. If all pipes are opened together then find the time taken to fill the tank completely.

    2. Two pipes A and B can fill a tank in 90 minutes and 75 minutes respectively. There is also an outlet C. If all the three pipes are opened together, the tank is full in 50 minutes, how much time will be taken by C to empty the full tank?

    3. One pipe can fill a tank in 50 hours. Due to a leak the total time taken to fill the tank was 60 hours. How much time will the leak take to empty a half-filled tank?

    4. A pipe can fill a tank in 10 minutes and another can fill the tank in 20 minutes. If both the pipe are kept open, then in how much time tank will be completely full?

    5. Two pipes A and B can empty a tank in 24 hours and 36 hours respectively while another pipe C can fill the same tank in 6 hours. All three pipes opened for 8 hours and then both A and B is closed find the total time in which the tank will be filled.

    6. Tap M alone can fill the tank in 5 hours and tap N alone can fill the tank in 15 hours. If both opened till half of the tank gets filled and then tap N is closed. Total time required to fill the tank is –

    7. A tank consist of one inlet and one outlet pipe. The Inlet pipe fills the tank in 10 hours and the outlet pipe empties the tank in 15 hours. Find the time taken to fill the tank when both pipes are open together.

    8. Pipe Q can fill a tank 4 times faster than pipe X. If both the pipes are opened together and they fill the tank in 36 minutes then find the time taken by pipe X to fill the tank alone.

    9. Three pipes A, B and C were opened to fill a tank. Working alone A, B and C requires 12 minutes, 15 minutes and 20 minutes respectively. Another pipe D, which is outlet pipe, can empty the fully filled tank in 30 minutes working alone. What is the total time taken to fill the tank if all the pipes are simultaneously opened?

    10. Pipes A and B together take 20 hours, B and C together take 15 hours, and C and A together take 12 hours to fill a tank. In what time will the tank be filled if all 3 pipes work together?

    11. A tank has two inlet pipe which can fill the tank in 3 hours and 4 hours respectively and has one outlet pipe which can empty the tank in 6 hours. If all the pipes work together then in how many hours the tank will be filled?

    12. Two pipes E and F can fill a tank in 12 hours and 6 hours respectively. If pipe G can empty the one – fourth of the tank in 4 hours, then in how much time all the three pipes can fill the half-empty tank?

    13. Pipe P alone can fill the tank in 18 hours and pipe Q alone can fill the tank in 12 hours. Both pipes opened for 7 hours. The fraction of the tank remained after 7 hours is equal to the fraction of the tank filled by pipe R in one hour. In what time the tank gets filled when all three pipes are opened simultaneously?

  • BANKING TEST SERIES (DATA SUFFICIENCY)

    Welcome to your BANKING TEST SERIES (DATA SUFFICIENCY)

    1. Direction: Each question below is followed by two statements I and II. You have to determine whether the data given is sufficient for answering the question. You should use the data and your knowledge of mathematics to choose the best possible answer.
    At the beginning of 2004, a person invested some amount in the bank, the interest rate is compounded annually and fixed, then the principle (in Rs. ) is?

    I. At beginning of 2007, the accumulated interest is Rs. 10000.
    II. At beginning of 2010, the accumulated interest is Rs. 25000.

    2. Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer.

    Find the average speed of the bus.

    I. The total time taken by the bus is 2/3 hours.
    II. The bus covers the whole journey in 4 equal parts at speeds of 20 km/h, 40 km/h, 60 km/h and 80 km/h respectively

    3. The question below is followed by three statements I, II and III. You have to determine whether the data given is sufficient for answering the question. You should use the data and your knowledge of mathematics to choose the best possible answer.

    A, B and C are three partner in a business. They invested for x, y and z months. Their investment were in the ratio of 1 : 2 : 3. What is the profit A in the business when the total profit is Rs. 6000?

    I. x + y + z = 30
    II. x, y and z are in the arithmetic progression.
    III. x > y

    Note:– Difference between x and z is 4.

    4. Directions: Each question below is followed by two statements A and B. You have to determine whether the data given in the statement is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer.

    Two types of sugar A and B are taken to prepare a mixture which costs Rs. 60 per Kg. Find the amount of sugar A added in mix.

    I. Price of sugar is A is 50 per kg and price of sugar B per kg is 100.
    II. 30 kg of sugar B is added in the mixture.

    Comprehension:

    Directions: The following questions are accompanied by three statement A, B and C. you have to determine which statement (s) is /are necessary/ sufficient to answer the question.

    What was the sum of the ages of the mother and the son 5 years earlier?
    A. Ratio of the mother’s present age to the son’s age after 4 years is 5 : 2.
    B. The difference between twice the present age of the mother and five times the son’s present age is 20 years.
    C. The ratio of the age of the mother after 5 Years to the age of the son after 6 years is 5 : 2.

    6. The question below is followed by two statements I and II. You have to determine whether the data given is sufficient for answering the question. You should use the data and your knowledge of mathematics to choose the best possible answer.

    Rakesh distributed 39 rupees to five of his friends A, B, C, D and E in integral form. Find how much money was received by C.

    I. A and B received total 7 rupees.
    II. Value of C, D and E are in arithmetic progression.

    Direction: Each question is followed by data in the form of two statements labelled as I and II.

    What is the difference in the savings of A and B?

    I. A saves Rs. 200 more than C.

    II. B saves Rs. 450 less than C.
    1
    If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
    2
    If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
    3
    If the data either in statement I or in statement II alone are sufficient to answer the question.
    4
    If the combined data of statement I and statement II together are not sufficient to answer the question.
    5
    If the data in both statement I and II are necessary to answer the question.

    8. Direction: Each question is followed by data in the form of two statements labelled as I and II.

    What is the probability that a ball drawn from a box is blue, if only blue, red and pink balls are in the box?

    I. There are 20 red balls and 16 remaining coloured balls in the box.
    II. The number of blue balls is half of the difference in the number of red and pink balls.

    9. Direction: Each question is followed by data in the form of two statements labelled as I and II.

    What is the length of the rectangle?

    I. The diagonal of the rectangle is 29 cm.
    II. The perimeter of the rectangle is 82 cm.

    10. The question below is followed by two statements I and II. You have to determine whether the data given in the statement is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer.

    Find the value of x

    I. x2 – 514x + 7485 = 0
    II. x is a prime number

    11. The question below is followed by two statements I and II. You have to determine whether the data given in the statement is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer.

    Ram can do piece of work in x days and Mahesh can do the same piece of work in y days.Find who will be paid more if they work together.

    I The geometric mean of x and y is 8
    II The arithmetic mean of x and y is 10

    12. The following questions are accompanied by three statements (I), (II), and (III). You have to determine which statements(s) is/are sufficient/necessary to answer the questions.

    How many items were sold?

    I. Total profit were earned was Rs. 450.
    II. Selling price of all items is Rs. 4200.
    III. Cost price of an item is Rs .250.

    13. Directions: Each of the following questions consists of 3 statements A, B, and C. You have to determine that which of the following statement/statements are not necessary to answer the question.

    Is Y a negative number?

    I. 7x/3 + 9y/5 < 7x/3 – 9y/5
    II. (x – y) 2 > (x + y)2
    III. x and y are real

    14. What is the actual percent profit made by the trader on selling rice @Rs. 36/kg?

    I. The trader falsely claims to be making a profit of 20%.
    II. The trader has tampered with his weighing instrument in such a way that it reads 1 kg for every 800 gm of rice weighed.

    15. A shopkeeper sells ‘x’ number of earphones at Rs. 500 each and ‘y’ number of chargers at Rs. 300 each in a particular day. x is what percentage of y?

    Statement I: Total amount collected by selling all the earphones and chargers is Rs. 8400.
    Statement II: Average selling price of all the earphones and chargers is Rs. 420. 

    16. What was the ratio of ages of Anchal and Neha 4 years ago if the present age of Neha is 24 years?

    Statement I: The difference of the ages of Neha and Anchal will be 6 years after 3 years.
    Statement II: After 12 years, the ratio of ages of Anchal and Neha will be 5 : 6.

    17. If x litres milk and 9 litres honey is added in a mixture of milk and honey the ratio of milk and honey in the mixture becomes 7 : 5. Find the value of x.

    Statement I: Resultant quantity of honey in the mixture is 45 litres.
    Statement II: Ratio of milk and honey initially was 5 : 4.

    18. Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer.

    Find the total amount invested by Mr. X.

    I. Total amount received by Mr. Y after 2 years is Rs. 4000 at compound interest.
    II. X and Y invested their amount at simple interest and compound interest respectively and the difference between the interests received by both after 3 years is Rs. 1500.

    19. Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer.

    Find the average of five consecutive even numbers.

    I. The sum of the first two numbers is 8 more than the fifth number.
    II. The difference of Fourth number and the first number is 12.

     

    20. Directions: Each of the questions given below consists of a question and 2 statements numbered I and II. You have to decide whether the data is sufficient to answer the question. Read both Statements carefully and then answer the questions.

    What is the sum of a and b?

    Statement I. 15a + 4b = 108
    Statement II. b = 27 – 3.75a

    21. Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers.

    Quantity A: A vessel of 100 liters is filled with milk and water. 80% of milk and 20% of water is taken out of the vessel. It is found that the vessel is vacated by 50%. Find the initial quantity of milk
    Quantity B: 60 litres

  • BANKING TEST SERIES (PERMUTATION AND COMBINATION 3)

    Welcome to your BANKING TEST SERIES (PERMUTATION AND COMBINATION 3)

    1. In a group of 10 men’s and 15 ladies, four persons are to be selected. In how many different ways can they be selected such that at most 2 men should be there?

    2. In how many ways can 25 travelling bags and 27 Sling bags be placed in a row on table so that two travelling bags may not be together?

    3. Two cards were drawn together from a pack of 52 cards. Find the probability that one is a diamond and the other one is a spade.

    4. Direction: Given below are three quantities. Based on the given information, determine the Relation between the two quantities.
    A group consists of five couples.
    Quantity I: Number of ways in which they could be arranged in a straight line such that the men and women occupy alternate positions.
    Quantity II: Ten times the number of ways in which they can be seated around a circular table such that men and women occupy alternate positions.

    5. In how many ways the letters of the word ‘Fruit’ can be arranged so that the consonants always come together?

    6. In how many different ways can the letters of the name ‘ASHWATHAMA’ be arranged such that the letter ‘S’ always comes with the letter ‘T’.

    7. Find the number of ways to distribute 15 chocolate to 6 children so that each children gets at least one chocolate?

    8. In how many ways four items-two of which are similar can be distributed to four boys so that each boy has one item?

    9. Given below are two quantities named I and II. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose among the possible answers.
    There are five boys and four girls in a group Only three have to be selected from them for a presentation.
    Quantity I: Total number of ways if at least one boy has to be selected.
    Quantity II: Total number of ways if at least one girl has to be selected.

    10. In a box there are 2 dark chocolates, 3 milk chocolates and 4 ice-creams. Find the possible number of ways 3 items can be taken if one milk chocolate is a must.

  • BANKING TEST SERIES (PERMUTATION AND COMBINATION 1)

    Welcome to your BANKING TEST SERIES (PERMUTATION AND COMBINATION 1)

    1. In how many different ways can the letters of word “PLASTIC” be arranged in such a way that the vowel always come together?

    2. A team of 5 member has to be selected from 4 boys and 7 girls such that a maximum of 3 girls can be there. In how many ways can it be done?

    3. In how many ways can a word be formed from the alphabets of “VISION” such that the vowels always stay together?

    4. Out of 4 chocolates and 5 bags, how many different combinations of 2 chocolates and 3 bags are possible?

    5. A team of 3 doctors has to be selected having at least one man. If there are a total of 4 men and 3 women, in how many ways the team can be formed?

    6. In how many ways can a group of 5 men and 3 women can be made out of a total of 8 men and 5 women.

  • BANKING TEST SERIES (PROBLEMS ON AGE 3)

    Welcome to your BANKING TEST SERIES (PROBLEMS ON AGE 3)

    1. The ratio of age of Yash 12 years ago to the age of Vaishnavi 16 years hence is 3 : 7. 6 years ago, the age of Yash is thrice the age of Vaishnavi. What is the age of Yash after 6 years?

    2. If the ratio of the ages of Mayank and Pritesh is 3 : n and the difference between the ages of Sachin and Mayank is 15 years. After 7 years the age of Sachin will be 58 years. If the difference between the age of Mayank and Pritesh is 12 years, the sequence of ages is Sachin > Mayank > Pritesh, then find the value of n2 + 3n + 5.

    3. Jaya’s sister is 2 years older than her. Her father was 30 years of age when her brother was born while her mother was 26 years of age when Jaya was born. If the age of the sister was 3 years when her brother was born, then find the age of Jaya’s father and mother respectively when the sister was born.

    4. Ramesh is 3 times the age of his son. After 5 years, he will be 5/2 times older than his son. At the time of Ramesh’s marriage, the ratio of age of Ramesh and his wife was 7 : 6. Find the age of his wife at the time of marriage if his son was born after 2 years of marriage.

    5. Anupam’s salary is 20,000 at the age of 20. Find the salary of Anupam at the age of 25, if his salary is directly proportional to the square of his age.

    6. The present age of A and B is 7 : 4. C is 14 year younger than A. C’s age after 7 years will be 42 years. What is the difference between the ages of A and B?

    7. There are 4 persons P, Q, R and S. The sum of the present ages of Q and R is 78 years. _____years ago, the ratio of the ages of P and R was 1 : 2. The present age of S is 4 years more than that of P. The ratio of present ages of P and R is 2 : 3 respectively. ______years hence the ratio of Q and S will be 11 : 10. The present age of S is 10 years less than that of R.

    a) 8, 10

    b) 14, 4

    c) 14, 8

    d) 7, 4

    e) 16, 8

    8. Age of A is 16.67% more than that of B and the age of B is 20% less than the age of C and age of D is 33.33% more the age of C. If the average age of A, B, C and D is 61 years then find the age of C after 3 years.

    9. A’s present age is one fourth of his mother’s age two years ago.  After 10 years, A’s mother’s age will be twice of B’s age. If B’s 12th birthday was celebrated 4 years ago, then what is A’s present age?

    10. A family has 4 members. The sum of the age of father and son is 50 years. The ratio of the age of father and daughter 6 years back is 16 ∶ 5. The ratio of the age of mother and daughter 4 years later is 9 ∶ 5. Find the present age (in years) of the mother if the daughter is 4 years elder to the son.

    11. The ratio of X and Y present age is 4 : 9 and the product of their ages is 324. Find the present age of Y.

    12. The age of Father and his daughter is in a ratio of 29 : 14. If the product of their ages in years is 1624, then what will be the age of daughter after 12 years?

    13. Three years ago, the average age of a family of 5 members is 27 years. The present average age of the family remains the same after the inclusion of a child in the family. Find the age of the child?

    14. The average age of a family of three members five years ago was 47 years and father is 5 years older than mother if the present age of the son is 31 years then what is the present age of the mother?

  • BANKING TEST SERIES (PROBLEMS ON AGE 2)

    Welcome to your BANKING TEST SERIES (PROBLEMS ON AGE 2)

    1. The half of the sum of the ages of A and B is 5 years more than the age of C. The sum of ages of B and C is 10 years more than the age of A. If the age of A is 42 years, then find the age of B.

    2. The multiplication of Kishan’s age before 3 years and after 6 years is 486. Find out the average of 5 years back age and age of Kishan after 5 years.

    3. The age of Kavita and Babita 4 years ago was in the ratio of 8 : 11 and their age ratio after 6 years will be 13 : 16. Kavita is _____ old and Babita is _____ old now.

    4. On her birthday, Priyadarshani notices that 7 years ago, Priyadarshani’s mother was 7 times older than Priyadarshani and after 7 years, Priyadarshani’s mother will be 3 times older than Priyadarshani. Find the present age of Priyadarshani?

    5. The ages of A, B and C together is 65 years. B is 2/3 of A and C is 9 years older than A. Then, what is the ratio of the respective age of C, A and B?

    6. The Present age of younger brother is equal to <span id="MathJax-Element-1-Frame" class="MathJax" style="display: inline;font-style: normal;font-weight: normal;line-height: normal;font-size: 14px;text-indent: 0px;text-align: left;text-transform: none;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;padding: 0px;margin: 0px;color: inherit !important;background-color: inherit !important;position: relative" role="presentation" data-mathml="6623%”>66  2/3% of the present age of the elder brother. The sum of the square of the ages of both is 1053. Find the ratio of ages of younger brother to elder brother after 3 years.

    7. The difference in the ages of Ajay and Rahul is 13 years(If Rahul is younger than Ajay). Rahul is 20 years older than Parth. If Parth is younger than Ajay, find the difference in the ages of Ajay and Parth.

    8. The average age of three brothers is 6 years. If their ages are in the ratio of 1 : 2 : 3, find the age of youngest brother.

    9. The present age of A is 4 times more than the present age of B, whose age is 2/3 times of present age of C. D’s present age is 2 times more than the present age of C. If difference between the present age of A and C is 21 years, then find the ratio of age of A and D, 3 years from now.

    10. Jaya’s present age is six years more than twice her age 18 years ago. Also, the ratio of Sushma’s present age to Jaya’s present age is 5 : 6. What will be Sushma’s age after 4 years?

    11. Age of P is 25 years and Q is 5 years younger than R and ratio of their age is 2 ∶ 3. Find the ratio of age of R and S if average age of all four is 30 years.

    12. Five and half years ago the age of two brother are in the ratio of 4 : 5. Two and half years later their ratio will be 6 : 7. Find the present age of younger brother.

    13. 3 years ago, the ratio of age of A and B is 1 : 3 and the ratio of present age of B and C is 2 : 7. Find the C’s age after 3 years if sum of present age of A and B is 34 years.

    14. The sum of the age of a mother and her son is 180 years now. 6 years ago their ages were in the ratio 4 ∶ 3. The ratio of the age of son and her mother after 6 years will be

    15. Four years ago, the ratio of age of A and B was 3:4, Average of the present age of A, B and C is 26 years. C is 11 years younger than B. What is the present age of B?

    16. The ratio of ages between two person A and B five years ago was 5 : 3 and the ratio of the ages of A and B after 7 years will be 3 ∶ 2, then find the present age of A.

    17. Product of the age of Tania and Ronita is 12 years. If Tania is 4 years younger than Ronita, what will be the age of Ronita after 5 years?

    18. The ratio of present ages of A, B and C is 2 ∶ 3 ∶ 5 and the average of present age of A & B is 25 years and that of  B & C is 40 years. What will be the sum of their ages after two years?

    19. A is 8 years younger than B, B’s age 10 years before, and C’s age 2 years after is in the ratio of 2 : 3, if present age of A and C are in the ratio of 1 : 1 than what is the age of A after 5 years?

  • BANKING TEST SERIES (PROBLEMS ON AGE 1)

    Welcome to your BANKING TEST SERIES (PROBLEMS ON AGE 1)

    1. Ratio of difference between the ages of father and son and sum of ages of father and son is 3 : 10. If the difference of the age of father and son is 24 years, then find the age of Father.

    2. The sum of ages of two brothers two years ago was 40 years. The ratio of their ages after four years would be 8: 5. Find their present ages. 

    3. The age of a teacher is 40 years more than the age of a student. The age of one more student who is 8 years elder than the previous student is half of the age of the teacher. Find the age of the second student. 

    4. Age of Mohan is 3 times of his son and 4 times of his daughter. Son is 5 year elder than daughter find the age of Mohan?

    5. The age of teacher is 300% of the age of a student. After four years, the ratio of the ages of the teacher and the student becomes 13 : 5. Find the present age of the teacher.

    6. Tisha said to Roy, the sum of our ages k years ago was 52. The sum of our ages k + 2 years hence will be 108 years. What is the sum of their present ages?

    7. Age of Ravi is 5 times of his son, after 15 years the ratio of age of Ravi and son is 13 : 5, find the age of Ravi?

    8. 6 years ago age of A and B are in the ratio of 7 : 10. 10 years after the sum of ages A and B is 100 years. C is 12 years elder than B. Find the present age of C.

    9. The ratio between the present age of two friends Arvind and Mahesh is 5 : 6. After 8 years the ratio of their ages will be 7 : 8. Find the sum of Arvind and Mahesh’s ages after 10 years.

    10. Age of A is 1.5 times of B. The ratio of their ages after 10 years is 4 : 3. then what is the current age of B?

    11. The ratio between the present age of Karan and Arjun is 6 : 7. After 3 years, the ratio between their ages will be 13 : 15. What is the present age of Karan and Arjun respectively?

    12. The present age of Q is 2 years more than P. The ratio of the age of Q after 2 years and the present age of P is 7: 5 respectively. Then what will be the ratio between the present age of Q and the age of P before 6 years?

    13. 3 years ago, ratio of ages between A and B is 3: 4 and 3 year hence ratio of ages between A and B is  4: 5. Find the ratio between their present ages: 

    14. The ratio between the age of father and son is 7 ∶ 2. If 5 years later the age of father is 3 times the age of his son, what is the present age of father?

    15. 5 years ago, the ratio of son and father was 6 ∶ 7 and After 5 years ratio becomes 11 ∶ 12. Find the present age of the son.

    16. The sum of the present ages of Abhishek and Bhushan is 45 years. If the ratio of their ages 2 years ago was 20:21. Find the present age of Bhushan (in years).

    17. Sum of age of tony and mony is 72 years. If they are in ratio 23 : 13. Find the age of mony 4 years hence?

  • BANKING TEST SERIES (RATIO PROPORTION 3)

    Welcome to your BANKING TEST SERIES (RATIO PROPORTION 3)

    1. The number 6336 is divided into four parts such that, one-eighth of first part, two-fifth of second part, three-eighth of third part, two-third of fourth part are equal to each other, what is the value of sum of highest and second highest part?

    2. Inside a box of chocolates, there are red, green and blue wrapped chocolates in the ratio of 5 ∶ 6 ∶ 9. Now, 16 green and 44 blue wrapped chocolates are added making the new ratio 6 ∶ 8 ∶ 13. How many chocolates are present in the box after extra addition?

    3. The ratio of Rocky’s and Raga’s income last year was 10 : 3. The sum of Rocky’s and Raga’s present incomes is Rs. 5124. Raga’s income last year was ________. The ratio of Rocky’s this year income and last year income is 6 : 5 and the ratio of Raga’s this year income and last year income is 2 : 3.

    4. A 40 cm long paper strip was cut into two strips in the ratio 5 ∶ 3. The longer strip was further divided into two strips in the ratio 4 ∶ 1, while the smaller strip was also divided into two strips in the ratio 3 ∶ 2. What is the difference between the lengths of the two shortest strips?

    5. The daily expenditure of A and B are in the ratio 7 : 9. If both of them reduced their daily expenditure by Rs. 500 per day, the new ratio of their daily expenditure becomes 11 : 17. What is their average daily savings after reduction in daily expenditure if both of them spends 20% of total daily earning on their daily expenditure?

    6. The ratio of the price of a bag to the ratio of the price of a clutch is 5 : 1. If there is an increase in the price of a clutch by 30% and there is a decrease in the price of a bag by 20%, then their total price becomes Rs. 1060, then find the average price of a bag and a clutch before the increase.

    7. The Cost of 1 kg salt is Rs. 40 and the cost of 1 kg rock salt is Rs. 70. If both type of salts are mixed in the ratio of 3 : 1. The selling price of salt mixture is Rs. 9.5 more than its cost price. What is profit percentage in the whole transaction?

    8. In a college the ratio of boys and girls is 7 : 5, After one year, the number of boys increase in the ratio 10 : 11 and the number of girls decrease in the ratio 5 : 4, Find the ratio boys to girls after one year.

    9. Three persons Soham, Puneet, Chetan whose salaries together amount to Rs. 6,44,000 spends 75, 80 and 60 percent of their salaries respectively. If their savings are in the ratio 8 : 7 : 10, then what is Puneet’s salary?

    10. Two years ago the ratio of annual salary of three friends P, Q and R is 4 : 3 : 5. Every year since then the salary of P, Q and R increases by 10%, 12% and 50% respectively. If the present monthly salary of P is 19,360, then what was the monthly salary of R one year ago?

    11. The ratio of expenditure & savings is 6 : 7. Income is increased by 24% & savings increased by 12%. Find how much percent the expenditure increased?

    12. Abhishek ordered 6 pair of red shoes and some pair of books. The price of a pair of red shoes is double than that of a pair of book. While preparing the bill the shopkeeper interchanged the number of pair of shoes and books by mistake which increased the bill by 40%. What was the ratio of the number of pair of red shoes and the number of pair of books in the original order?

    13. Two numbers x and y are in the ratio 5 : 4. The numbers are such that the sum of 4% of x and 5% of y is three-fourth of the sum of 8% of x and 120. Find the value of y?

    14. In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option.

    Quantity A: If Rs.11800 is divided among three friends A, B and C in the Ratio 2A : 5B : 7C then find the share of A.

    Quantity B: The ratio of the incomes of A and B is 3 : 5, whereas the ratio of their expenditures is 4 : 7 respectively. If A and B save Rs. 16,000 and Rs. 26,000, respectively, then what is the difference (in Rs.) between their expenditures?

    15. A person distributes Rs. 61,600 among 11 men, 13 women and 3 children. If each woman receives four times as much as each child and each man receives 200% more than what a child receives, how much does each woman receive?

    16. The ratio of the income of Vikram and Vikash in 2015 was 16 : 21. The ratios of their individual incomes of the year 2015 and 2019 are 16 : 11 and 3 : 2, respectively. If their total income for the year 2019 is ₹ 1, 00,000, then the income of Vikram in 2015 was –

    17. A sum distributed between A, B and C in the ratio of 7 : 13 : 17. If A’s share is x more than 1/3rd of A’s share. B’s share is y more than 1/2nd of B’s share and C’s share is z more than 2/3rd of C’s share. Find the ratio of x : y : z?

    18. The ratio of income of two person is 5 : 3 and that of their expenditure is 9 : 5. If they save amount Rs. 1300 and Rs. 900 monthly respectively. Find the difference between their yearly Income.

    19. A certain product A is made of two ingredients P and Q in the proportion of 3 : 5. The price of Q is <span id="MathJax-Element-11-Frame" class="MathJax" style="display: inline;font-style: normal;font-weight: normal;line-height: normal;font-size: 14px;text-indent: 0px;text-align: left;text-transform: none;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;padding: 0px;margin: 0px;color: inherit !important;background-color: inherit !important;position: relative" role="presentation" data-mathml="6623%”>6623%6623% of P. The overall cost of A is Rs 6.70 per kg including labour charges of Rs 2.90 per kg. Find the cost of Q per kg?

    20. There are five students (Ram, Ramesh, Suresh, Seeta, and Geeta) in class X. The ratio of marks in the science exam of Ram and Ramesh is 1 : 2, while the ratio of marks of Ramesh and Suresh is 3 : 1, and the ratio of marks of Suresh and Seeta is 2 : 3. The ratio of marks of Seeta and Geeta is 4 : 5. If Geeta scores 60 marks in the exam, find the average marks of all students in science exam.

    20. If 30% of the water from the bucket a is added to bucket b find out the ratio between bucket a, b and c, if the water in bucket b increases by 40% and a : c = 8 : 7

    21. In a wallet the ratio of 25 paise and 50 paise and Rupees 1 coins are in the ratio of 12:4:3 which amounts to Rs. 800. Find the number of coins of 50 paise.

    22. Rs. 13395 was to be divided among P, Q and R in the ratio of 4 ∶ 5 ∶ 6. But by mistake it was divided in the ratio 1 / 4 ∶ 1 / 5 ∶ 1 / 6. How much less money did R receive?

    23. A man has a total of Rs. 5450 in Rs 10, Rs. 20, and Rs. 50 denomination notes. If ratio of number of Rs. 10 notes to Rs. 50 notes is 19 : 6 and number of notes of Rs. 50 denomination is 80% less than Rs. 20 notes, then find the total value of Rs. 20 notes.

    24. The ratio of monthly earning of Rohit and Ravi is 5 : 4 and their expenditure ratio is 6 : 5. If they save in the ratio 3 : 2 and their combined saving is Rs. 5000 then what is the half yearly earning of Rohit?

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