Class 5 Computational Thinking & AI
Official CBSE Student Handbook curriculum with 300 interactive practice questions (20 questions per chapter), decomposition puzzles, pattern recognition challenges, and step-by-step logic solutions.
We the Travellers - I
We the Travellers – I introduces computational problem-solving through positional digit puzzles, password logic deduction, and constraint-based number formation.
Practice Questions (20)
Click an option to test your solutionWhich of the following CAN be implied if the given statement is true? Statement: A 5-digit number is formed using single-digit whole numbers such that the units digit is even and all the remaining digits are odd.
Hint: Find the largest possible number: 99998, then sum its digits.
Rohan revealed his 5-digit phone password in a code word to Rajesh where all the digits are NATURAL NUMBERS. Which of the following statements are SUFFICIENT to crack the code? Statement 1: One of these digits is 1, and 2 appears thrice in the password Statement 2: The first digit is smaller than all other digits and the 2nd digit is smaller than the 3rd Statement 3: The largest digit in the password is 3 and it appears only once
Hint: Statement 1 gives digits {1, 2, 2, 2, ?}. Statement 3 sets ? = 3. Statement 2 fixes the positions.
What will come in place of '?' in the pattern: 8 3 2 7 5 → 2 3 5 7 8 4 8 6 7 9 → 4 6 7 8 9 7 5 3 9 6 → 3 5 6 7 9 8 2 1 5 4 → ?
Hint: Sort the digits 8, 2, 1, 5, 4 from smallest to largest.
A 5-digit number is formed such that all the digits are different and the sum of all the digits is 10. What is the highest digit this number can have?
Hint: 0 + 1 + 2 + 3 + 4 = 10. The highest digit in this minimal set is 4.
Using the instructions given below, form two numbers: Instruction 1: Form the largest 5-digit number using the digits in the 5-sided figures {9, 7, 4, 2, 0}, without repeating any digit. Instruction 2: Form the smallest 3-digit number using the digits in the circles {1, 3, 5, 6, 8}, without repeating any digit. What is the sum of the two numbers formed?
Hint: Largest 5-digit number: 97420. Smallest 3-digit number: 135. Add them: 97420 + 135.
Using the digits at the ends of the vertical lines (Top: 5, 8, 2, 4, 9; Bottom: 7, 3, 9, 0, 6), form numbers by reading left to right picking one digit per column. Which option represents the greatest even number that can be formed?
Hint: Pick the highest digit in each column, but ensure the last digit is even (pick 6 instead of 9).
A string of digits is given: '0 7 3 6 5'. At MINIMUM, how many pairs of digits must be interchanged such that the second largest 5-digit number is formed from left to right?
Hint: Target number is 76503. Count the minimum pairwise swaps required.
There is a 7-digit number X in which all the digits are different. Using the digits of X, two 5-digit numbers Y and Z are formed, such that no digit is repeated within Y or within Z. What is the MINIMUM number of digits that Y and Z must have in common?
Hint: 5 + 5 = 10 digits needed in total, but only 7 distinct digits exist. 10 − 7 = 3.
A 5-digit number has the property that the number formed by its first three digits is the same as the number formed by its last three digits. What is the minimum number of times any digit can appear in this number?
Hint: The number is of the form a-b-a-b-a. Digit 'b' appears 2 times.
Which digit appears in the tens place of the second largest 5-digit number formed using 1, 5, and 7, where each digit is used at least once?
Hint: Largest: 77751. Second largest: 77715. What digit is in the tens place?
What is the smallest 5-digit number that can be formed using three different digits, where one digit is repeated three times?
Hint: Start with 1, use 0 three times, and end with 2.
A 5-digit palindrome number reads the same forward and backward. The sum of all its digits is 19. If the hundreds digit is 5 and the ten-thousands digit is 3, what is the thousands digit?
Hint: Equation: 3 + b + 5 + b + 3 = 19 → 2b + 11 = 19.
How many 4-digit numbers have all odd digits?
Hint: 5 choices for each of the 4 positions: 5⁴ = 625.
In a 5-digit number 4A7B2, the sum of all digits is 21. If A is greater than B by 2, what is the value of digit A?
Hint: A + B = 8 and A − B = 2. Solve for A.
What is the difference between the greatest and smallest 5-digit numbers formed by using all the digits 6, 2, 0, 9, 4 exactly once?
Hint: 96420 − 20469 = 75951.
How many times does the digit '7' appear in all the whole numbers from 1 to 100?
Hint: 10 times in units place and 10 times in the seventies (70-79). Total = 20.
How many 2-digit numbers have the sum of their digits equal to 8?
Hint: List them from 17 to 80: 1+7=8, 2+6=8... 8+0=8.
A digital encoder takes a 3-digit number, multiplies the hundreds digit by 4, adds the tens digit, and subtracts the units digit. For the number 635, what is the output?
Hint: (6 × 4) + 3 − 5 = 24 − 2 = 22.
What is the place value of 9 in 4,92,310 minus the face value of 9 in the same number?
Hint: Place value is 90,000; face value is 9. 90,000 − 9 = 89,991.
If X = 4, Y = 7, and Z = 1, what is the smallest 4-digit number that can be formed using digits X, Y, and Z where Y is repeated twice?
Hint: Arrange 1, 4, 7, 7 in ascending order: 1477.
The Thinking Spot: Stacking Shapes
P, Q, R, and S each has a different shape - Circle, Pentagon, Square, and Triangle. They arranged the shapes in a vertical stack where the Circle is placed at the bottom-most position.
Question: Which of the following is Q's shape?