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CAT 2025 Lesson : DILR: May '25 to Jun '25 - Live Solving - 11 Jun 2025
Details for Questions 1 to 4 are provided below
An ATM dispenses exactly Rs. 5000 per withdrawal using 100, 200 and 500 rupee notes. The ATM requires every customer to give her preference for one of the three denominations of notes. It then dispenses notes such that the number of notes of the customer’s preferred denomination exceeds the total number of notes of other denominations dispensed to her.
[CAT 2018 Shift 1]
1) In how many different ways can the ATM serve a customer who gives 500 rupee notes as her preference?
Answer:
2) If the ATM could serve only 10 customers with a stock of fifty 500 rupee notes and a sufficient number of notes of other denominations, what is the maximum number of customers among these 10 who could have given 500 rupee notes as their preferences?
Answer:
3) What is the maximum number of customers that the ATM can serve with a stock of fifty 500 rupee notes and a sufficient number of notes of other denominations, if all the customers are to be served with at most 20 notes per withdrawal?
(1) 13
(2) 12
(3) 16
(4) 10
4) What is the number of 500 rupee notes required to serve 50 customers with 500 rupee notes as their preferences and another 50 customers with 100 rupee notes as their preferences, if the total number of notes to be dispensed is the smallest possible?
(1) 1400
(2) 900
(3) 750
(4) 800
Read the following and answer the questions that follow
In a certain board examination, students were to appear for examination in five subjects: English, Hindi, Mathematics, Science and Social Science. Due to a certain emergency situation, a few of the examinations could not be conducted for some students. Hence, some students missed one examination and some others missed two examinations. Nobody missed more than two examinations.
The board adopted the following policy for awarding marks to students. If a student appeared in all five examinations, then the marks awarded in each of the examinations were on the basis of the scores obtained by them in those examinations.
If a student missed only one examination, then the marks awarded in that examination was the average of the best three among the four scores in the examinations they appeared for.
If a student missed two examinations, then the marks awarded in each of these examinations was the average of the best two among the three scores in the examinations they appeared for.
The marks obtained by six students in the examination are given in the table below. Each of them missed either one or two examinations.
The following facts are also known.
I. Four of these students appeared in each of the English, Hindi, Science, and Social Science examinations.
II. The student who missed the Mathematics examination did not miss any other examination.
Ill. One of the students who missed the Hindi examination did not miss any other examination. The other student who missed the Hindi examination also missed the Science examination.
[CAT 2020 Slot 1]
5) Who among the following did not appear for the Mathematics examination?
(1) Carl
(2) Alva
(3) Foni
(4) Esha
6) Which students did not appear for the English examination?
(1) Cannot be determined
(2) Carl and Deep
(3) Esha and Foni
(4) Alva and Bithi
7) What BEST can be concluded about the students who did not appear for the Hindi examination?
(1) Deep and Esha
(2) Two among Alva, Deep and Esha
(3) Alva and Esha
(4) Alva and Deep
8) What BEST can be concluded about the students who missed the Science examination?
(1) Bithi and one out of Alva and Deep
(2) Alva and Bithi
(3) Deep and Bithi
(4) Alva and Deep
9) How many out of these six students missed exactly one examination?
Answer:
10) For how many students can we be definite about which examinations they missed?
Answer:
An ATM dispenses exactly Rs. 5000 per withdrawal using 100, 200 and 500 rupee notes. The ATM requires every customer to give her preference for one of the three denominations of notes. It then dispenses notes such that the number of notes of the customer’s preferred denomination exceeds the total number of notes of other denominations dispensed to her.
[CAT 2018 Shift 1]
1) In how many different ways can the ATM serve a customer who gives 500 rupee notes as her preference?
Answer:
2) If the ATM could serve only 10 customers with a stock of fifty 500 rupee notes and a sufficient number of notes of other denominations, what is the maximum number of customers among these 10 who could have given 500 rupee notes as their preferences?
Answer:
3) What is the maximum number of customers that the ATM can serve with a stock of fifty 500 rupee notes and a sufficient number of notes of other denominations, if all the customers are to be served with at most 20 notes per withdrawal?
(1) 13
(2) 12
(3) 16
(4) 10
4) What is the number of 500 rupee notes required to serve 50 customers with 500 rupee notes as their preferences and another 50 customers with 100 rupee notes as their preferences, if the total number of notes to be dispensed is the smallest possible?
(1) 1400
(2) 900
(3) 750
(4) 800
Read the following and answer the questions that follow
In a certain board examination, students were to appear for examination in five subjects: English, Hindi, Mathematics, Science and Social Science. Due to a certain emergency situation, a few of the examinations could not be conducted for some students. Hence, some students missed one examination and some others missed two examinations. Nobody missed more than two examinations.
The board adopted the following policy for awarding marks to students. If a student appeared in all five examinations, then the marks awarded in each of the examinations were on the basis of the scores obtained by them in those examinations.
If a student missed only one examination, then the marks awarded in that examination was the average of the best three among the four scores in the examinations they appeared for.
If a student missed two examinations, then the marks awarded in each of these examinations was the average of the best two among the three scores in the examinations they appeared for.
The marks obtained by six students in the examination are given in the table below. Each of them missed either one or two examinations.
The following facts are also known.
I. Four of these students appeared in each of the English, Hindi, Science, and Social Science examinations.
II. The student who missed the Mathematics examination did not miss any other examination.
Ill. One of the students who missed the Hindi examination did not miss any other examination. The other student who missed the Hindi examination also missed the Science examination.
[CAT 2020 Slot 1]
5) Who among the following did not appear for the Mathematics examination?
(1) Carl
(2) Alva
(3) Foni
(4) Esha
6) Which students did not appear for the English examination?
(1) Cannot be determined
(2) Carl and Deep
(3) Esha and Foni
(4) Alva and Bithi
7) What BEST can be concluded about the students who did not appear for the Hindi examination?
(1) Deep and Esha
(2) Two among Alva, Deep and Esha
(3) Alva and Esha
(4) Alva and Deep
8) What BEST can be concluded about the students who missed the Science examination?
(1) Bithi and one out of Alva and Deep
(2) Alva and Bithi
(3) Deep and Bithi
(4) Alva and Deep
9) How many out of these six students missed exactly one examination?
Answer:
10) For how many students can we be definite about which examinations they missed?
Answer:
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