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Worksheet on Games with Numbers

Solved Questions on Games with Numbers

1. What is the tens place digit of the largest three-digit even number that can be formed using the digits 2, 4 and 8 without repeating the digits?

a) 2
b) 4
c) 8
d) 9

Explanation: The largest three-digit even number using the digits 2, 4 and 8 without repetition is 842.

Now, to determine the tens place digit, we look at the digit in the tens place of this number, which is 4.

2. What is the ones place digit of the smallest three-digit number that can be formed using the digits 1, 3 and 2 without repeating the digits?

a) 1
b) 2
c) 3
d) 5

Explanation: The smallest three-digit number using the digits 1, 3 and 2 without repetition is 123.

Now, to determine the ones place digit, we look at the digit in the ones place of this number, which is 3.

3. Find the missing number in the given puzzle.

a) 4
b) 5
c) 6
d) 7

Explanation: To find the missing number in the puzzle, let's analyze the given pattern:

Add the number of rows and column

Row
2 + 3 = 5
4 + 2 = 6
6 + 5 = 11

Column
2 + 4 = 6
3 + 2 = 5
5 + 6 = 11

4. Who am I?

i. My hundreds place digit is half my ones place digit.
ii. My ones place digit is the highest single-digit even number.
iii. My tens place digit is 3 less than my ones place digit.

a) 458
b) 468
c) 478
d) 488

Explanation: Let's go step by step:

From clue ii, the highest single-digit even number is 8. Therefore, the ones place digit of the mystery number is 8.

From clue i, the hundreds place digit is half the ones place digit. Since the ones place digit is 8, half of 8 is 4. Therefore, the hundreds place digit is 4.

From clue iii, the tens place digit is 3 less than the ones place digit. Since the ones place digit is 8, 3 less than 8 is 5. Therefore, the tens place digit is 5.
Putting it all together, the mystery number is 458.

Therefore, the answer is mystery number 458.

5. Which of the following is matched correctly?

a) Smallest 2-digit odd number = 13
b) Smallest 2-digit even number =12
c) Greatest 2-digit odd number = 99
d) Greatest 2-digit even number = 99

Answer: c) Greatest 2-digit odd number = 99

Explanation: The smallest 2-digit odd number is incorrect in option a). The smallest 2-digit odd number is 11, not 13. 13 is a 2-digit odd number, but it is not the smallest.

The smallest 2-digit even number is incorrect in option b). The smallest 2-digit even number is 10, not 12.

The greatest 2-digit odd number is correct in option c). The greatest 2-digit odd number is 99. It is the largest odd number between 10 and 99.

The greatest 2-digit even number is incorrect in option d). The greatest 2-digit even number is 98, not 99. 99 is not an even number; it is an odd number.

Therefore, the correct match is c) Greatest 2-digit odd number = 99.

Practice Questions on Games with Numbers

1. What is the ones place digit of the smallest three-digit odd number that can be formed using the digits 5, 2 and 4 without repeating the digits?

a) 1
b) 5
c) 4
d) 2

2. What is the ones place digit of the largest two-digit odd number that can be formed using the digits 1 and 8 without repeating the digits?

a) 1
b) 2
c) 8
d) 9

3. What is the hundred-place digit of the smallest three-digit odd number that can be formed using the digits 4, 3 and 7 without repeating the digits?

a) 1
b) 3
c) 7
d) 4

4. Who am I?

i. My hundreds place digit is double my ones place digit.
ii. My ones place digit is the smallest single-digit even number.
iii. My tens place digit is 1 less than my ones place digit.

a) 412
b) 418
c) 425
d) 435

5. Who am I?

i. My tens place digit is thrice my ones place digit.
ii. My ones place digit is 3.
iii. My tens place digit is 2 less than my ones place digit.

a) 910
b) 975
c) 913
d) 952

6. Find the missing number in the given puzzle.

a) 12
b) 14
c) 16
d) 18

7. Find the missing number in the given puzzle.

a) 0
b) 1
c) 2
d) 3

8. Find the missing number in the given puzzle.

a) 0
b) 1
c) 2
d) 3

9. Find the missing number in the given puzzle.

a) 3
b) 5
c) 8
d) 10

10. What is the hundred-place digit of the largest three-digit even number that can be formed using the digits 4, 7 and 6 without repeating the digits?

a) 4
b) 7
c) 6
d) 5

Quick Video Recap

In this section, you will find interesting and well-explained topic-wise video summary of the topic, perfect for quick revision before your Olympiad exams.

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