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Page 14 - CT&AI_CLasa_7_Part_1
P. 14

    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)

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