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Page 45 - CT&AI_CLasa_7_Part_1
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    6.  If you have only weights of 1kg, 3kg, 9kg, and
                         27kg. Show how to weigh an object that is of
                         20kg.                       (Decomposition)      –10 –9 –8 –7 –6 –4 –3 –1 0  1  2  3  4  5  6  7  8  9

                               (a)  Left Pan: Object + 27 kg + 3 kg | Right
                                   Pan: 9 kg + 1 kg                                 (a)  –10            (b)  –5

                               (b)  Left Pan: Object + 9 kg + 1 kg | Right          (c)  5              (d)  15
                                   Pan: 27 kg + 3 kg
                                                                          9.  If ABC + ABC = CCA (where each letter is a
                               (c)  Left Pan: Object + 3 kg | Right Pan:     unique integer), what is the value of A + B + C?
                                   27 kg + 9 kg + 1 kg                                               (Analytical Thinking)

                               (d)  Left Pan: Object + 27 kg | Right Pan:           (a)  20             (b)  21
                                   9 kg + 3 kg + 1 kg
                                                                                    (c)  22             (d)  Not possible
                      7.  What is the product of (10 – 1)(10 – 2)(10 – 3)...
                         (10 – 20)?                 (Logical Thinking)   10.  In a class test of 20 questions, each correct
                                                                             answer earns 5 marks, while each incorrect
                               (a)  A very large positive number             answer results  in  a  deduction  of 2  marks.
                                                                             Priya  attempts  all the  questions  and  scores
                               (b)  A very large negative number             8 correct  answers. If  Priya  were to  answer
                                                                             10 questions  correctly  instead,  how  many
                               (c)  0
                                                                             additional marks could she earn?
                               (d)  100                                                                 (Logical Thinking)

                      8  A robot on a number line at position 0 moves               (a)  16             (b)  14
                         1 unit right, then 2 units left, then 4 units right,
                         then 8 units left. What is its position after the          (c)  12             (d)  18
                         4th move?               (Analytical Thinking)

                                       Arrange the integers 3, 5, 6, 7, 8 and 10 into the circular grid given below, such
                                       that:
                                          Each number must be used exactly once.
                                          The sum of any two adjacent numbers must be a prime number.

                                                                            10

                                                  (a)  3, 5, 6, 7, 8                  (b)  3, 7, 8, 5, 6

                                                  (c)  3, 8, 5, 6, 7                  (d)  8, 7, 6, 5, 3

                                                                                          Operations with Integers    43

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