Instructions

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.

Question 41

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?

Question 42

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?

Instructions

You are given an n×n square matrix to be filled with numerals so that no two adjacent cells have the same numeral. Two cells are called adjacent if they touch each other horizontally, vertically or diagonally. So a cell in one of the four corners has three cells adjacent to it, and a cell in the first or last row or column which is not in the corner has five cells adjacent to it. Any other cell has eight cells adjacent to it.

Question 43

What is the minimum number of different numerals needed to fill a 3×3 square matrix?

Backspace

789

456

123

0.-

Clear All

Submit
789

456

123

0.-

Clear All

Question 44

What is the minimum number of different numerals needed to fill a 5×5 square matrix?

Backspace

789

456

123

0.-

Clear All

Submit
789

456

123

0.-

Clear All

Question 45

Suppose you are allowed to make one mistake, that is, one pair of adjacent cells can have the same numeral. What is the minimum number of different numerals required to fill a 5×5 matrix?

Question 46

Suppose that all the cells adjacent to any particular cell must have different numerals. What is the minimum number of different numerals needed to fill a 5×5 square matrix?

Instructions

Fuel contamination levels at each of 20 petrol pumps P1, P2, …, P20 were recorded as either high, medium, or low.

1. Contamination levels at three pumps among P1 - P5 were recorded as high.

2. P6 was the only pump among P1 - P10 where the contamination level was recorded as low.

3. P7 and P8 were the only two consecutively numbered pumps where the same levels of contamination were recorded.

4. High contamination levels were not recorded at any of the pumps P16 - P20.

5. The number of pumps where high contamination levels were recorded was twice the number of pumps where low contamination levels were recorded.

Question 48

What best can be said about the number of pumps at which the contamination levels were recorded as medium?

Question 49

If the contamination level at P11 was recorded as low, then which of the following MUST be true?

Question 50

If contamination level at P15 was recorded as medium, then which of the following MUST be FALSE?

CAT Percentages QuestionsCAT Coordinate Geometry QuestionsCAT Averages QuestionsCAT Venn Diagrams QuestionsCAT Averages Mixtures Alligations Questions

CAT Arrangement QuestionsCAT Routes And Networks QuestionsCAT Charts QuestionsCAT Table with Missing values QuestionsCAT Games and Tournamnents Questions