Self Studies

Logical Reasoning & DI (LRDI) Test - 10

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Logical Reasoning & DI (LRDI) Test - 10
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  • Question 1
    3 / -1

    Directions For Questions

    Kylian has currencies of three types, A, B and C, all having different values. He could exchange 3 notes of A for a note of B and a note of C. He could also exchange 10 notes of A for 4 notes of B and one note of C. There is no other currency note with Kylian.

    ...view full instructions

    6 silver coins can be bought by paying 1 note of B and 1 note of C. What is the absolute difference between the minimum and the maximum number of notes that can be spent to buy exactly 366 silver coins?

    Solution

    3A = B + C    ....(i)

    10A = 4B + C    ....(ii)

    (ii) - (i)

    7A = 3B

    A:B = 3:7 

    10(i) - 3(ii)

    10B + 10C - 12B - 3C = 0

    7C = 2B

    B:C = 7:2

    A:B:C = 3:7:2

    Let the value of 1 note of A be 3 Rs, 1 note of B be 7 Rs and 1 note of C be 2 Rs.

    6 silver coins = B + C

    6 silver coins = 9 Rs.

    1 silver coin = 9/6 = 1.5 Rs

    366 silver coins = 366 x 1.5 = 549 Rs.

    For the maximum number of notes, we will try to maximise the number of notes of C since the value of 1 note of C is 2 Rs.

    549/2 = 274.5

    If we use 274 notes of C, we will have to pay the remaining 1 Rs but none of the notes is of Rs 1 denomination, so we have to use 273 notes of C and 1 note of A. Hence, total = 274

    For the minimum number of notes, we will try to maximise the number of notes of B, since the value of each note of B = 7 Rs.

    549/7 = 78.xx

    So, if we use 78  notes of B, we are left with 549 - (78 x 7) = 3 Rs, so we can pay 1 note of A. Hence, total = 78 + 1 = 79.

    Difference = 274 - 79 = 195.

  • Question 2
    3 / -1

    Directions For Questions

    Kylian has currencies of three types, A, B and C, all having different values. He could exchange 3 notes of A for a note of B and a note of C. He could also exchange 10 notes of A for 4 notes of B and one note of C. There is no other currency note with Kylian.

    ...view full instructions

    Assume that Kylian has an equal number of notes of A, B and C. Now, he exchanges one note of a particular currency to receive a number of note(s) of the remaining currencies such that the total value with him remains unchanged. After the transaction, if y is the arithmetic mean of the number of notes of B and the number of notes of C, then find out the number of notes of A after the exchange.

    Note: $$\left \lfloor x \right \rfloor$$ is the greatest integer less than or equal to x.

    Solution

    3A = B + C ....(i)

    10A = 4B + C ....(ii)

    (ii) - (i)

    7A = 3B

    A:B = 3:7

    10(i) - 3(ii)

    10B + 10C - 12B - 3C = 0

    7C = 2B

    B:C = 7:2

    A:B:C = 3:7:2

    Let the value of 1 note of A be 3 Rs, 1 note of B be 7 Rs and 1 note of C be 2 Rs.

    Let the number of notes of each type be x.

    Now, there can be 3 possible cases.

    Case A: We exchange a note of A. So, we should get back 3 Rs, but no other note or combination of notes can give 3 Rs. So, this case is invalidated. 

    Case B: We exchange a note of B. So, we should get back Rs 7, if Kylian is returned 1 note of A and 2 notes of C, that equals Rs 7. There is no other way a sum of 7 can come up.

    Case C: We exchange a note of C. So, we should get back 2 Rs, but no other note or combination of notes can give 2 Rs. So, this case is invalidated.

    Hence, he exchanges one note of B for 2 notes of C and 1 note of A.

    Initially, number of notes of 

    A - x

    B - x

    C - x

    After the transaction, the number of notes of 

    A - x + 1

    B - x - 1

    C - x + 2

    Arithmetic mean of x - 1 and x + 2 is x + 0.5

    y = x + 0.5

    Since x is a natural number, 

    $$\left \lfloor y \right \rfloor$$ = x

    Hence, the number of notes of A = x + 1 = $$\left \lfloor y \right \rfloor$$ + 1

  • Question 3
    3 / -1

    Directions For Questions

    Kylian has currencies of three types, A, B and C, all having different values. He could exchange 3 notes of A for a note of B and a note of C. He could also exchange 10 notes of A for 4 notes of B and one note of C. There is no other currency note with Kylian.

    ...view full instructions

    Kylian had to pay 3 notes of B and 2 notes of  A to buy 9 silver coins. Of the following alternatives, how many can he exactly pay for using note(s) of B and(or) C only, considering that he has a sufficient number of notes of B and C?

    1. 2 coins

    2. 3 coins

    3. 5 coins

    4. 11 coins

    Solution

    3A = B + C ....(i)

    10A = 4B + C ....(ii)

    (ii) - (i)

    7A = 3B

    A:B = 3:7

    10(i) - 3(ii)

    10B + 10C - 12B - 3C = 0

    7C = 2B

    B:C = 7:2

    A:B:C = 3:7:2

    Let the value of 1 note of A be 3 Rs, 1 note of B be 7 Rs and 1 note of C be 2 Rs.

    3B + 2A = 9 silver coins

    21 + 6 = 9 coins

    27 Rs = 9 coins

    1 coin = 3 Rs

    Alternative 1: 2 coins = 6 Rs = 3 x 2 Rs or 2 x 3 Rs. Hence, he can pay using 3 notes of C.

    Alternative 2: 3 coins = 9 Rs = 7 Rs + 2 Rs or 3 x 2 Rs + 3 Rs or 3 x 3 Rs. Hence, he can pay using 1 note of B and 1 note of C.

    Alternative 3: 5 coins = 15 Rs = 7 Rs + 4 x 2 Rs. Hence, he can pay using 1 note of B and 4 notes of C.

    Alternative 4: 11 coins = 33 Rs = 3 x 7 Rs + 6 x 2 Rs[other alternatives are also there, but we just need to find a minimum of 1, if possible]. Hence, he can pay using 3 notes of B and 6 notes of C.

    Hence, all 4 are possible alternatives. Hence Option (D).

  • Question 4
    3 / -1

    Directions For Questions

    Kylian has currencies of three types, A, B and C, all having different values. He could exchange 3 notes of A for a note of B and a note of C. He could also exchange 10 notes of A for 4 notes of B and one note of C. There is no other currency note with Kylian.

    ...view full instructions

    Kylian buys a gold coin and in the process, he hands over 8 notes of B to the trader, who returns back 3 notes of C to Kylian. In how many different ways can Kylian pay for a similar gold coin if he has to pay the exact amount using notes of A, B and C only. Assume that Kylian has a sufficient number of notes of A, B and C, and he needs to pay at least 1 note of A, at least 1 note of B and at least  note of C in order to buy the coin.

    Solution

    3A = B + C ....(i)

    10A = 4B + C ....(ii)

    (ii) - (i)

    7A = 3B

    A:B = 3:7

    10(i) - 3(ii)

    10B + 10C - 12B - 3C = 0

    7C = 2B

    B:C = 7:2

    A:B:C = 3:7:2

    Let the value of 1 note of A be 3 Rs, 1 note of B be 7 Rs and 1 note of C be 2 Rs.

    8B - 3C = 8 X 7 Rs - 3 x 2 Rs = 50

    All we need to find is the number of triplets(a,b,c) that satisfy 

    3a + 7b + 2c = 50

    We will start with b = 1 and see how many ways are possible, we will continue with b = 2, 3 and so on.

    Hence, there are 23 ways.

  • Question 5
    3 / -1

    Directions For Questions

    Kylian has currencies of three types, A, B and C, all having different values. He could exchange 3 notes of A for a note of B and a note of C. He could also exchange 10 notes of A for 4 notes of B and one note of C. There is no other currency note with Kylian.

    ...view full instructions

    Kylian buys 1 kg Cashew nuts and in the process, he hands over 15 notes of A to the trader and receives one note of B and one note of C. Kylian also buys 1 kg of Brazilian nuts and hands over 15 notes of C and 10 notes of A. In how many ways Kylian can buy 1 kg Cashew nuts and 100 gms Brazilian nuts using at least 2 notes of A, at least 2 notes of B and at least 2 notes of C?

    Solution

    3A = B + C ....(i)

    10A = 4B + C ....(ii)

    (ii) - (i)

    7A = 3B

    A:B = 3:7

    10(i) - 3(ii)

    10B + 10C - 12B - 3C = 0

    7C = 2B

    B:C = 7:2

    A:B:C = 3:7:2

    Let the value of A, B and C be 3k, 7k and 2k.

    Cost of 1 kg cashew nuts = 15A - B - C = 36k

    Cost of 1 kg Brazilian nuts = 15C + 10A = 60k

    Cost of 1 kg cashew nuts and 100 gms Brazilian nut = 36k + 6k = 42k

    Let the number of A notes, B notes, C notes used be x, y and z respectively.

    3k(x) + 7k(y) + 2k(z) = 42k    $$x,y,z\ge2$$

    3x + 7y + 2z = 42    $$x,y,z\ge2$$

    Case 1: y = 2

    3x + 2z = 28

    (x,z) = (8,2), (6,5), (4,8), (2,11) ---> 4 ways

    Case 2: y = 3

    3x + 2z = 21

    z can take values 3 and 6

    (x,z) = (5,3), (3,6) ---> 2 ways

    Case 3: y = 4

    3x + 2z = 14

    (x,z) = (2,4) ---> 1 ways

    Total number of ways = 4 + 2 + 1 = 7 ways

  • Question 6
    3 / -1

    Directions For Questions

    Answer the questions on the basis of the information given below.
    Eight school children had roll numbers 1, 2, 3, 4, 5, 6, 7 and 8. After the school, each student ate only one ice-cream each from different outlets among A, B, C, D, E, F, G, H which were next to each other in a row. In each shop, ice-creams were available in three different flavours - vanilla, chocolate and butterscotch. Each flavour was eaten by 1 to 3 children.
    Further, the following information is also known -
    a) No two children with consecutive roll numbers ate chocolate or vanilla ice-cream.
    b) Same flavoured ice-cream was not eaten in neighbouring shops.
    c) The students having roll number 1 and 7 ate chocolate and vanilla ice-cream repsectively.
    d) Three students who ate butterscotch ice-cream had consecutive roll numbers.

    Students with roll numbers 1, 3, and 7 ate from shops E, D and C respectively. 

    ...view full instructions

    Which of the following options is definitely incorrect?

    Solution

    Each flavour was eaten by 1 to 3 children and butterscotch flavor is eaten by 3 students. So one flavour out of Vanilla or Chocolate must be eaten by just 2 children.
    Using c and d, we can say that the three children who ate butterscotch ice-cream must have roll number 2,3,4 or 3,4,5 or 4,5,6.
    Let v represent vanilla, c represent chocolate and b represent butterscotch.
    We can make following table,

    According to given condition we have, the students with roll number 1, 3 and 7 ate from shop E, D and C respectively. From this we can say that possibility 3 is not possible because then both shops D and E will be serving chocolate flavour ice creams.

    Using data from option A can get following possibility -

    Thus option A can be right and using the same possibility we can say that option D is right.
    Using data from option B can get following possibility -

    Using data from option C -

    Condition that no two neighbouring shops sell same flavor of ice-cream is violated.
    Hence, option C is the right choice.

  • Question 7
    3 / -1

    Directions For Questions

    Answer the questions on the basis of the information given below.
    Eight school children had roll numbers 1, 2, 3, 4, 5, 6, 7 and 8. After the school, each student ate only one ice-cream each from different outlets among A, B, C, D, E, F, G, H which were next to each other in a row. In each shop, ice-creams were available in three different flavours - vanilla, chocolate and butterscotch. Each flavour was eaten by 1 to 3 children.
    Further, the following information is also known -
    a) No two children with consecutive roll numbers ate chocolate or vanilla ice-cream.
    b) Same flavoured ice-cream was not eaten in neighbouring shops.
    c) The students having roll number 1 and 7 ate chocolate and vanilla ice-cream repsectively.
    d) Three students who ate butterscotch ice-cream had consecutive roll numbers.

    Students with roll numbers 1, 3, and 7 ate from shops E, D and C respectively. 

    ...view full instructions

    What is the flavour of the ice cream eaten by student with roll number 4?

    Solution

    Each flavour was eaten by 1 to 3 children and butterscotch flavor is eaten by 3 students. So one flavour out of Vanilla or Chocolate must be eaten by just 2 children.  Using c and d, we can say that the three children who ate butterscotch ice-cream must have roll number 2,3,4 or 3,4,5 or 4,5,6.  Let v represent vanilla, c represent chocolate and b represent butterscotch.  We can make following table,

    According to given condition we have, the students with roll number 1, 3
    and 7 ate from shop E, D and C respectively. From this we can say that
    possibility 3 is not possible because then both shops D and E will be
    serving chocolate flavour ice creams.

    Thus in the other two possibilities the student with roll number 4 eats Butterscotch ice-cream.
    Hence, option C is the right answer.

  • Question 8
    3 / -1

    Directions For Questions

    Answer the questions on the basis of the information given below.
    Eight school children had roll numbers 1, 2, 3, 4, 5, 6, 7 and 8. After the school, each student ate only one ice-cream each from different outlets among A, B, C, D, E, F, G, H which were next to each other in a row. In each shop, ice-creams were available in three different flavours - vanilla, chocolate and butterscotch. Each flavour was eaten by 1 to 3 children.
    Further, the following information is also known -
    a) No two children with consecutive roll numbers ate chocolate or vanilla ice-cream.
    b) Same flavoured ice-cream was not eaten in neighbouring shops.
    c) The students having roll number 1 and 7 ate chocolate and vanilla ice-cream repsectively.
    d) Three students who ate butterscotch ice-cream had consecutive roll numbers.

    Students with roll numbers 1, 3, and 7 ate from shops E, D and C respectively. 

    ...view full instructions

    If the students with roll number 5 and 2 ate from shop A and B respectively, then how many of the following statements will definitely be correct?

    I - The student eating at shop F had butterscotch ice-cream.

    II - Student with roll number 6 ate at shop G

    III - Student with roll number 4 ate at shop H. 

    Solution

    Each flavour was eaten by 1 to 3 children and butterscotch flavor is eaten by 3 students. So one flavour out of Vanilla or Chocolate must be eaten by just 2 children.  Using c and d, we can say that the three children who ate butterscotch ice-cream must have roll number 2,3,4 or 3,4,5 or 4,5,6.  Let v represent vanilla, c represent chocolate and b represent butterscotch.  We can make following table,

    According to given condition we have, the students with roll number 1, 3
    and 7 ate from shop E, D and C respectively. From this we can say that
    possibility 3 is not possible because then both shops D and E will be
    serving chocolate flavour ice creams.

    Using data from the question, we have -

    or 


    This case can be eliminated as shop B and C cannot sell same flavoured ice-cream.

    or

    This case can be eliminated as shop B and C cannot sell same flavoured ice-cream.

    Thus, we have,

    We cannot assign shops to students with roll number 4, 6 and 8 without violating any condition.

    None of the statements are correct. 

    Hence, option D is the right choice. 

  • Question 9
    3 / -1

    Directions For Questions

    Answer the questions on the basis of the information given below.
    Eight school children had roll numbers 1, 2, 3, 4, 5, 6, 7 and 8. After the school, each student ate only one ice-cream each from different outlets among A, B, C, D, E, F, G, H which were next to each other in a row. In each shop, ice-creams were available in three different flavours - vanilla, chocolate and butterscotch. Each flavour was eaten by 1 to 3 children.
    Further, the following information is also known -
    a) No two children with consecutive roll numbers ate chocolate or vanilla ice-cream.
    b) Same flavoured ice-cream was not eaten in neighbouring shops.
    c) The students having roll number 1 and 7 ate chocolate and vanilla ice-cream repsectively.
    d) Three students who ate butterscotch ice-cream had consecutive roll numbers.

    Students with roll numbers 1, 3, and 7 ate from shops E, D and C respectively. 

    ...view full instructions

    Student with roll number 5 eats from shop B. Also if student with roll number 8 and roll number 4 do not eat in shop A and F respectively, then which flavoured ice-cream is sold by shop A to the student? 

    Solution

    According to given condition we have, the students with roll number 1, 3
    and 7 ate from shop E, D and C respectively. From this we can say that
    possibility 3 is not possible because then both shops D and E will be
    serving chocolate flavour ice creams.

    Since student with roll number 5 eats from shop B, possibility 1 and 3 can be eliminated as neighbouring shop cannot sell same flavor ice-cream.

    The case given above represents one of two possibilities (G and H can be interchanged).
    Therefore, in all possible combinations, A will be selling chocolate flavoured ice cream. 


    As we can see, shop A sells ice cream of chocolate flavour. Therefore, option A is the right answer. 

  • Question 10
    3 / -1

    Directions For Questions

    Answer the questions on the basis of the information given below.
    Eight school children had roll numbers 1, 2, 3, 4, 5, 6, 7 and 8. After the school, each student ate only one ice-cream each from different outlets among A, B, C, D, E, F, G, H which were next to each other in a row. In each shop, ice-creams were available in three different flavours - vanilla, chocolate and butterscotch. Each flavour was eaten by 1 to 3 children.
    Further, the following information is also known -
    a) No two children with consecutive roll numbers ate chocolate or vanilla ice-cream.
    b) Same flavoured ice-cream was not eaten in neighbouring shops.
    c) The students having roll number 1 and 7 ate chocolate and vanilla ice-cream repsectively.
    d) Three students who ate butterscotch ice-cream had consecutive roll numbers.

    Students with roll numbers 1, 3, and 7 ate from shops E, D and C respectively. 

    ...view full instructions

    How many of the following statements are definitely incorrect?

    Statement 1- The student with roll number 3 ate chocolate flavour ice cream.

    Statement 2 - The student with roll number 5 ate vanilla flavour ice cream.

    Statement 3 - The student with roll number 8 ate ice cream from shop F.

    Solution

    Each flavour was eaten by 1 to 3 children, and three students ate the butterscotch flavour. So just two children must consume one flavour out of Vanilla or Chocolate.
    Using c and d, we can say that the three children who ate butterscotch ice cream must have roll numbers 2,3,4 or 3,4,5 or 4,5,6.
    Let v represent vanilla, c represents chocolate, and b represent butterscotch.
    We can make the following table,

    According to our given condition, the students with roll numbers 1, 3 and 7 ate from shops E, D and C, respectively. From this, possibility 3 is impossible because shops D and E will serve chocolate flavour ice creams.

    So only cases 1 and 2 are possible. Now if we look at the options, we can easily infer that the students with roll number 3 ate butterscotch. ( Statement one is incorrect)

    If we analyze Statement 2, we can see that In case 1, the Student with roll number 5 ate vanilla, so this is a possible case. ( it is not incorrect. It can be possible.)

    For Statement 3, the Student with roll number 8 ate chocolates in both cases. If he ate chocolate ice cream from shop F, Then roll number 1, who ate chocolate from shop E and roll number 8, who ate ice cream from shop F, will contradict the fact that the same flavoured ice cream was not eaten in neighbouring shops. ( Statement 3 is also incorrect). 

    Hence, from these 3 statements, 2 statements are incorrect.

    The Correct answer is option C

  • Question 11
    3 / -1

    Directions For Questions

    A booking has to be made for a bike. If it is to be delivered in the same month, then the customer has to pay 10% more. If it has to be delivered 1 month after the date of booking, then the customer has to pay the normal amount. If it has to be delivered 2 months after the date of booking, the customer has to pay 95% of the amount. These mode of bookings are referred to as mode 1, mode 2 and mode 3 respectively. Exactly 10% of the booking were of mode 2 in all the months except January.

    ...view full instructions

    Which month witnessed the highest number of mode 3 bookings?

    Solution

    The following observations we have from the data given above:

    1) Mode 1: Booked and delivered in the same month.

    2) Mode 2: Booked and delivered in the next month.

    3) Mode 3: Booked and delivered in the next to next month.

    Thus, the number of deliveries in a particular month will be the sum of bookings done in mode 1 in that month, with bookings done with mode 2 in the previous month and bookings done with mode 3 in two months back.

    i.e., No. of deliveries = Mode 1(current month) + Mode 2(previous month) + Mode 3(two months before)

    Also, it is given that except for January, the number of bookings made through Mode 2 is 10% of the total bookings.

    Thus, the table will become as follows:

    Consider the deliveries in the month of August:

    The number of bookings made in either July or August is 0. Thus, the number of deliveries in this month are of the bookings made in the month of June through mode 3.

    Thus, the number of bookings made in June with mode 3 = 500.

    Now, consider the deliveries in the month of July:

    The number of bookings made in July is also 0. Thus, the number of deliveries will be the bookings made in the month of June through mode 2 and the ones made in May through mode 3.

    We know that bookings made through mode 2 in the month of June = 100.

    Thus, the bookings made in May through mode 3 will be 350 - 100 = 250

    Now, consider the month of June:

    Total number of bookings = 1000

    Mode 2 = 100 and Mode 3 = 500.

    Thus, Mode 1 = 1000 - (100 + 500) = 400

    Similarly, the bookings made through Mode 1 in May = 250

    Again, consider the deliveries done in June:

    The number of deliveries will be the bookings made in the month of June through mode 1, the ones made in May through mode 2, and the ones made in April through mode 3.

    Mode 1(June) = 400, Mode 2(May) = 50.

    Thus, Mode 3(April) = 770 - (400 + 50) = 320

    Similarly, in this manner, we can backtrack all the values, and the final table will be:

    Thus, from the table, it is evident that the highest number of bookings done through Mode 3 is in June.

     The correct option is D.

  • Question 12
    3 / -1

    Directions For Questions

    A booking has to be made for a bike. If it is to be delivered in the same month, then the customer has to pay 10% more. If it has to be delivered 1 month after the date of booking, then the customer has to pay the normal amount. If it has to be delivered 2 months after the date of booking, the customer has to pay 95% of the amount. These mode of bookings are referred to as mode 1, mode 2 and mode 3 respectively. Exactly 10% of the booking were of mode 2 in all the months except January.

    ...view full instructions

    How many Mode 1 bookings were made in April?

    Solution

    The following observations we have from the data given above:

    1) Mode 1: Booked and delivered in the same month.

    2) Mode 2: Booked and delivered in the next month.

    3) Mode 3: Booked and delivered in the next to next month.

    Thus, the number of deliveries in a particular month will be the sum of bookings done in mode 1 in that month, with bookings done with mode 2 in the previous month and bookings done with mode 3 in two months back.

    i.e., No. of deliveries = Mode 1(current month) + Mode 2(previous month) + Mode 3(two months before)

    Also, it is given that except for January, the number of bookings made through Mode 2 is 10% of the total bookings.

    Thus, the table will become as follows:

    Consider the deliveries in the month of August:

    The number of bookings made in either July or August is 0. Thus, the number of deliveries in this month are of the bookings made in the month of June through mode 3.

    Thus, the number of bookings made in June with mode 3 = 500.

    Now, consider the deliveries in the month of July:

    The number of bookings made in July is also 0. Thus, the number of deliveries will be the bookings made in the month of June through mode 2 and the ones made in May through mode 3.

    We know that bookings made through mode 2 in the month of June = 100.

    Thus, the bookings made in May through mode 3 will be 350 - 100 = 250

    Now, consider the month of June:

    Total number of bookings = 1000

    Mode 2 = 100 and Mode 3 = 500.

    Thus, Mode 1 = 1000 - (100 + 500) = 400

    Similarly, the bookings made through Mode 1 in May = 250

    Again, consider the deliveries done in June:

    The number of deliveries will be the bookings made in the month of June through mode 1, the ones made in May through mode 2, and the ones made in April through mode 3.

    Mode 1(June) = 400, Mode 2(May) = 50.

    Thus, Mode 3(April) = 770 - (400 + 50) = 320

    Similarly, in this manner, we can backtrack all the values, and the final table will be:

     The correct option is B.

  • Question 13
    3 / -1

    Directions For Questions

    A booking has to be made for a bike. If it is to be delivered in the same month, then the customer has to pay 10% more. If it has to be delivered 1 month after the date of booking, then the customer has to pay the normal amount. If it has to be delivered 2 months after the date of booking, the customer has to pay 95% of the amount. These mode of bookings are referred to as mode 1, mode 2 and mode 3 respectively. Exactly 10% of the booking were of mode 2 in all the months except January.

    ...view full instructions

    How many mode 2 bookings were made in January?

    Solution

    The following observations we have from the data given above:

    1) Mode 1: Booked and delivered in the same month.

    2) Mode 2: Booked and delivered in the next month.

    3) Mode 3: Booked and delivered in the next to next month.

    Thus, the number of deliveries in a particular month will be the sum of bookings done in mode 1 in that month, with bookings done with mode 2 in the previous month and bookings done with mode 3 in two months back.

    i.e., No. of deliveries = Mode 1(current month) + Mode 2(previous month) + Mode 3(two months before)

    Also, it is given that except for January, the number of bookings made through Mode 2 is 10% of the total bookings.

    Thus, the table will become as follows:

    Consider the deliveries in the month of August:

    The number of bookings made in either July or August is 0. Thus, the number of deliveries in this month are of the bookings made in the month of June through mode 3.

    Thus, the number of bookings made in June with mode 3 = 500.

    Now, consider the deliveries in the month of July:

    The number of bookings made in July is also 0. Thus, the number of deliveries will be the bookings made in the month of June through mode 2 and the ones made in May through mode 3.

    We know that bookings made through mode 2 in the month of June = 100.

    Thus, the bookings made in May through mode 3 will be 350 - 100 = 250

    Now, consider the month of June:

    Total number of bookings = 1000

    Mode 2 = 100 and Mode 3 = 500.

    Thus, Mode 1 = 1000 - (100 + 500) = 400

    Similarly, the bookings made through Mode 1 in May = 250

    Again, consider the deliveries done in June:

    The number of deliveries will be the bookings made in the month of June through mode 1, the ones made in May through mode 2, and the ones made in April through mode 3.

    Mode 1(June) = 400, Mode 2(May) = 50.

    Thus, Mode 3(April) = 770 - (400 + 50) = 320

    Similarly, in this manner, we can backtrack all the values, and the final table will be:

     The correct option is C.

  • Question 14
    3 / -1

    Directions For Questions

    A booking has to be made for a bike. If it is to be delivered in the same month, then the customer has to pay 10% more. If it has to be delivered 1 month after the date of booking, then the customer has to pay the normal amount. If it has to be delivered 2 months after the date of booking, the customer has to pay 95% of the amount. These mode of bookings are referred to as mode 1, mode 2 and mode 3 respectively. Exactly 10% of the booking were of mode 2 in all the months except January.

    ...view full instructions

    Which month had the same mode 1 bookings as that of March?

    Solution

    The following observations we have from the data given above:

    1) Mode 1: Booked and delivered in the same month.

    2) Mode 2: Booked and delivered in the next month.

    3) Mode 3: Booked and delivered in the next to next month.

    Thus, the number of deliveries in a particular month will be the sum of bookings done in mode 1 in that month, with bookings done with mode 2 in the previous month and bookings done with mode 3 in two months back.

    i.e., No. of deliveries = Mode 1(current month) + Mode 2(previous month) + Mode 3(two months before)

    Also, it is given that except for January, the number of bookings made through Mode 2 is 10% of the total bookings.

    Thus, the table will become as follows:

    Consider the deliveries in the month of August:

    The number of bookings made in either July or August is 0. Thus, the number of deliveries in this month are of the bookings made in the month of June through mode 3.

    Thus, the number of bookings made in June with mode 3 = 500.

    Now, consider the deliveries in the month of July:

    The number of bookings made in July is also 0. Thus, the number of deliveries will be the bookings made in the month of June through mode 2 and the ones made in May through mode 3.

    We know that bookings made through mode 2 in the month of June = 100.

    Thus, the bookings made in May through mode 3 will be 350 - 100 = 250

    Now, consider the month of June:

    Total number of bookings = 1000

    Mode 2 = 100 and Mode 3 = 500.

    Thus, Mode 1 = 1000 - (100 + 500) = 400

    Similarly, the bookings made through Mode 1 in May = 250

    Again, consider the deliveries done in June:

    The number of deliveries will be the bookings made in the month of June through mode 1, the ones made in May through mode 2, and the ones made in April through mode 3.

    Mode 1(June) = 400, Mode 2(May) = 50.

    Thus, Mode 3(April) = 770 - (400 + 50) = 320

    Similarly, in this manner, we can backtrack all the values, and the final table will be:

     The correct option is A.

  • Question 15
    3 / -1

    Directions For Questions

    A booking has to be made for a bike. If it is to be delivered in the same month, then the customer has to pay 10% more. If it has to be delivered 1 month after the date of booking, then the customer has to pay the normal amount. If it has to be delivered 2 months after the date of booking, the customer has to pay 95% of the amount. These mode of bookings are referred to as mode 1, mode 2 and mode 3 respectively. Exactly 10% of the booking were of mode 2 in all the months except January.

    ...view full instructions

    In which month is the difference between Mode 1 and Mode 3 bookings the highest?

    Solution

    The following observations we have from the data given above:

    1) Mode 1: Booked and delivered in the same month.

    2) Mode 2: Booked and delivered in the next month.

    3) Mode 3: Booked and delivered in the next to next month.

    Thus, the number of deliveries in a particular month will be the sum of bookings done in mode 1 in that month, with bookings done with mode 2 in the previous month and bookings done with mode 3 in two months back.

    i.e., No. of deliveries = Mode 1(current month) + Mode 2(previous month) + Mode 3(two months before)

    Also, it is given that except for January, the number of bookings made through Mode 2 is 10% of the total bookings.

    Thus, the table will become as follows:

    Consider the deliveries in the month of August:

    The number of bookings made in either July or August is 0. Thus, the number of deliveries in this month are of the bookings made in the month of June through mode 3.

    Thus, the number of bookings made in June with mode 3 = 500.

    Now, consider the deliveries in the month of July:

    The number of bookings made in July is also 0. Thus, the number of deliveries will be the bookings made in the month of June through mode 2 and the ones made in May through mode 3.

    We know that bookings made through mode 2 in the month of June = 100.

    Thus, the bookings made in May through mode 3 will be 350 - 100 = 250

    Now, consider the month of June:

    Total number of bookings = 1000

    Mode 2 = 100 and Mode 3 = 500.

    Thus, Mode 1 = 1000 - (100 + 500) = 400

    Similarly, the bookings made through Mode 1 in May = 250

    Again, consider the deliveries done in June:

    The number of deliveries will be the bookings made in the month of June through mode 1, the ones made in May through mode 2, and the ones made in April through mode 3.

    Mode 1(June) = 400, Mode 2(May) = 50.

    Thus, Mode 3(April) = 770 - (400 + 50) = 320

    Similarly, in this manner, we can backtrack all the values, and the final table will be:

    The highest difference is for January. ( 175 - 25 = 150).

    The answer is Option (D).

  • Question 16
    3 / -1

    Directions For Questions

    5 friends Anay, Bhola, Chintu, Dinu and Eshwar spend their entire salary on Rent, Groceries and Travel. The following graph shows the amount of money spent by each of the 5 friends on a particular expense as a percentage of the total amount of money spent by all of the 5 friends on a particular expense. For example, if the amount spent by all the friends on Rent is ‘R’ then the amount spent by Anay on rent is 0.26R. The total amount of money spent by exactly 3 friends is equal.

    ...view full instructions

    If the total amount spent on Rent is 10000 rupees then how much money did Dinu spent on Travelling?

    Solution

    Let R be the total amount spent by all the friends on Rent, G be the total amount spent by all the friends on Groceries and T be the total amount spent by all the friends on Travelling.
    The given information in table form is as shown below:-

    The total amount of money spent by exactly 3 friends is equal.
    There are 10 possible combinations for this.
    But as can be observed the amount spent by Anay, Bhola and Chintu on each of Rent, Groceries and Travel is greater than the amount spent by Eshwar on each of Rent, Groceries and Travel.
    Thus, Amount of money spent by Eshwar cannot be equal to the amount of money spent by 2 other friends.
    Thus, only 4 possible combinations now remain.
    Out of these 4, the amount of money spent by Anay and Bhola on each of Rent, Groceries and Travel is greater than the amount spent by Dinu on each of Rent, Groceries and Travel
    Thus, Amount of money spent by Dinu cannot be equal to the amount of money spent by 2 other friends.
    Thus, the amount spent by Anay, Bhola and Chintu is equal.
    Thus, 0.26R+0.24G+0.22T=0.22R+0.24G+0.24T
    => 0.04R = 0.02T
    Thus, 2R=T
    Also, 0.22R+0.24G+0.24T=0.18R+0.28G+0.24T
    => R=G
    Thus, the table becomes:-

    Thus, if R = 10000 then Dinu spent 0.36*10000 = 3600 Rupees on Travelling.
    Hence, option B is the correct answer.

  • Question 17
    3 / -1

    Directions For Questions

    5 friends Anay, Bhola, Chintu, Dinu and Eshwar spend their entire salary on Rent, Groceries and Travel. The following graph shows the amount of money spent by each of the 5 friends on a particular expense as a percentage of the total amount of money spent by all of the 5 friends on a particular expense. For example, if the amount spent by all the friends on Rent is ‘R’ then the amount spent by Anay on rent is 0.26R. The total amount of money spent by exactly 3 friends is equal.

    ...view full instructions

    What is the ratio of the amount spent by Chintu on Rent and the amount spent by Eshwar on Travelling?

    Solution

    Let R be the total amount spent by all the friends on Rent, G be the total amount spent by all the friends on Groceries and T be the total amount spent by all the friends on Travelling.
    The given information in table form is as shown below:-

    The total amount of money spent by exactly 3 friends is equal.
    There are 10 possible combinations for this.
    But as can be observed the amount spent by Anay, Bhola and Chintu on each of Rent, Groceries and Travel is greater than the amount spent by Eshwar on each of Rent, Groceries and Travel.
    Thus, Amount of money spent by Eshwar cannot be equal to the amount of money spent by 2 other friends.
    Thus, only 4 possible combinations now remain.
    Out of these 4, the amount of money spent by Anay and Bhola on each of Rent, Groceries and Travel is greater than the amount spent by Dinu on each of Rent, Groceries and Travel
    Thus, Amount of money spent by Dinu cannot be equal to the amount of money spent by 2 other friends.
    Thus, the amount spent by Anay, Bhola and Chintu is equal.
    Thus, 0.26R+0.24G+0.22T=0.22R+0.24G+0.24T
    => 0.04R = 0.02T
    Thus, 2R=T
    Also, 0.22R+0.24G+0.24T=0.18R+0.28G+0.24T
    => R=G
    Thus, the table becomes:-

    Thus, the required ratio is = 0.18R:0.24R = 3:4
    Hence, option B is the correct answer.

  • Question 18
    3 / -1

    Directions For Questions

    5 friends Anay, Bhola, Chintu, Dinu and Eshwar spend their entire salary on Rent, Groceries and Travel. The following graph shows the amount of money spent by each of the 5 friends on a particular expense as a percentage of the total amount of money spent by all of the 5 friends on a particular expense. For example, if the amount spent by all the friends on Rent is ‘R’ then the amount spent by Anay on rent is 0.26R. The total amount of money spent by exactly 3 friends is equal.

    ...view full instructions

    The amount spent on traveling is how much percent more than the amount spent on rent by all the friends combined?

    Solution

    Let R be the total amount spent by all the friends on Rent, G be the total amount spent by all the friends on Groceries and T be the total amount spent by all the friends on Travelling.
    The given information in table form is as shown below:-

    The total amount of money spent by exactly 3 friends is equal.
    There are 10 possible combinations for this.
    But as can be observed the amount spent by Anay, Bhola and Chintu on each of Rent, Groceries and Travel is greater than the amount spent by Eshwar on each of Rent, Groceries and Travel.
    Thus, Amount of money spent by Eshwar cannot be equal to the amount of money spent by 2 other friends.
    Thus, only 4 possible combinations now remain.
    Out of these 4, the amount of money spent by Anay and Bhola on each of Rent, Groceries and Travel is greater than the amount spent by Dinu on each of Rent, Groceries and Travel
    Thus, Amount of money spent by Dinu cannot be equal to the amount of money spent by 2 other friends.
    Thus, the amount spent by Anay, Bhola and Chintu is equal.
    Thus, 0.26R+0.24G+0.22T=0.22R+0.24G+0.24T
    => 0.04R = 0.02T
    Thus, 2R=T
    Also, 0.22R+0.24G+0.24T=0.18R+0.28G+0.24T
    => R=G
    Thus, the table becomes:-

    Thus, The amount spent on traveling is 100 percent more than the amount spent on rent by all the friends combined.

  • Question 19
    3 / -1

    Directions For Questions

    5 friends Anay, Bhola, Chintu, Dinu and Eshwar spend their entire salary on Rent, Groceries and Travel. The following graph shows the amount of money spent by each of the 5 friends on a particular expense as a percentage of the total amount of money spent by all of the 5 friends on a particular expense. For example, if the amount spent by all the friends on Rent is ‘R’ then the amount spent by Anay on rent is 0.26R. The total amount of money spent by exactly 3 friends is equal.

    ...view full instructions

    If the amount spent on Groceries is 90000 then what is the amount spent by Anay on Travelling?

    Solution

    Let R be the total amount spent by all the friends on Rent, G be the total amount spent by all the friends on Groceries and T be the total amount spent by all the friends on Travelling.
    The given information in table form is as shown below:-

    The total amount of money spent by exactly 3 friends is equal.
    There are 10 possible combinations for this.
    But as can be observed the amount spent by Anay, Bhola and Chintu on each of Rent, Groceries and Travel is greater than the amount spent by Eshwar on each of Rent, Groceries and Travel.
    Thus, Amount of money spent by Eshwar cannot be equal to the amount of money spent by 2 other friends.
    Thus, only 4 possible combinations now remain.
    Out of these 4, the amount of money spent by Anay and Bhola on each of Rent, Groceries and Travel is greater than the amount spent by Dinu on each of Rent, Groceries and Travel
    Thus, Amount of money spent by Dinu cannot be equal to the amount of money spent by 2 other friends.
    Thus, the amount spent by Anay, Bhola and Chintu is equal.
    Thus, 0.26R+0.24G+0.22T=0.22R+0.24G+0.24T
    => 0.04R = 0.02T
    Thus, 2R=T
    Also, 0.22R+0.24G+0.24T=0.18R+0.28G+0.24T
    => R=G
    Thus, the table becomes:-

    Thus, the amount spent by Anay on Travelling = 0.44*90000 = 39600 rupees

  • Question 20
    3 / -1

    Directions For Questions

    5 friends Anay, Bhola, Chintu, Dinu and Eshwar spend their entire salary on Rent, Groceries and Travel. The following graph shows the amount of money spent by each of the 5 friends on a particular expense as a percentage of the total amount of money spent by all of the 5 friends on a particular expense. For example, if the amount spent by all the friends on Rent is ‘R’ then the amount spent by Anay on rent is 0.26R. The total amount of money spent by exactly 3 friends is equal.

    ...view full instructions

    The difference in the travel expenses of which of the following pairs is equal to the the difference in rent paid by Dinu & Chintu?

    Solution

    Let R be the total amount spent by all the friends on Rent, G be the total amount spent by all the friends on Groceries and T be the total amount spent by all the friends on Travelling.
    The given information in table form is as shown below:-

    The total amount of money spent by exactly 3 friends is equal.
    There are 10 possible combinations for this.
    But as can be observed the amount spent by Anay, Bhola and Chintu on each of Rent, Groceries and Travel is greater than the amount spent by Eshwar on each of Rent, Groceries and Travel.
    Thus, Amount of money spent by Eshwar cannot be equal to the amount of money spent by 2 other friends.
    Thus, only 4 possible combinations now remain.
    Out of these 4, the amount of money spent by Anay and Bhola on each of Rent, Groceries and Travel is greater than the amount spent by Dinu on each of Rent, Groceries and Travel
    Thus, Amount of money spent by Dinu cannot be equal to the amount of money spent by 2 other friends.
    Thus, the amount spent by Anay, Bhola and Chintu is equal.
    Thus, 0.26R+0.24G+0.22T=0.22R+0.24G+0.24T
    => 0.04R = 0.02T
    Thus, 2R=T
    Also, 0.22R+0.24G+0.24T=0.18R+0.28G+0.24T
    => R=G
    Thus, the table becomes:-

    The difference in rent paid by Dinu & Chintu = 0.22R - 0.18R = 0.04R.

    From the given options, only the difference between the travel expenses of Bhola & Anay will be equal to 0.04R. (0.48R - 0.44R = 0.04R).

    The answer is Option (A). 

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