Page 14 - CT&AI_CLasa_7_Part_1

pART–I

Large Numbers

1 around Us

computational thinking quest

Tick ( ) the correct option.

1. A 5-digit number N is formed using exactly 3. If a bus can carry 50 people and there are 1
three distinct digits. One digit appears twice, lakh buses, how many people could fit into all
another appears twice, and the third appears these buses? (Algorithmic Thinking)
once. When 30,000 is added to N, the resulting (a) 50,000 (b) 50 lakh

number M is still a 5-digit number.
(c) 1 lakh (d) 5 crore
What is the maximum possible value of M?
4. Two different 5-digit numbers P and Q are
(Logical Thinking)
formed using distinct digits from 0 to 9, with
(a) 99898 (b) 99988 no repetition across the digits used in each
number. Some digits are missing, as shown:

(c) 99978 (d) 99999 Number P: _ 3 _ 8 _
Number Q: _ 5 _ 7 _
2. A 6-digit number ABCDEF is formed using six
The following conditions apply:
distinct digits from 0–9 (without repetition).
The following conditions hold: • In number P, the digit at the middle position
of each number is greater than both its
• The digit in the 3rd position is 6. adjacent digits.

• All digits in the even positions (B, D, F) are • The digit 8 in P is not adjacent to any even
even numbers. digit.
• The sum of digits at the odd positions (A, C, • In Q, the digits are arranged such that they

E) is equal to the sum of digits at the even alternate between even and odd positions.
positions (B, D, F). • No digit is repeated across P and Q together.
• P is the largest possible number, and Q is
• The number is arranged to form the largest
the smallest possible number.
possible 6-digit number.
What is the value of P – Q?
What is the value of A? (Critical Thinking)
(Abstract Thinking)
(a) 9 (b) 8 (a) 61423 (b) 60325

(c) 7 (d) 6 (c) 59241 (d) 38907

12 Computational Thinking-7 (Mathematics)