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               \ 08-Oct-2025  Bharat Arora   Proof-9                                 Reader’s Sign _______________________ Date __________





                D.  Attempt the following questions.

                1.  India has 36 states and union territories. As per the census of 2011, the population of
                    some states (least 12) and union territories are listed below. Read it carefully.
                             State/Union territory         Population         State/Union territory      Population

                     1. Lakshadweep                            64429      7. Mizoram                       1091014
                     2. Daman and Diu                        242911       8. Puducherry                  12444464
                     3. Dadra and Nagar Haveli               342853       9. Arunachal Pradesh             1382611

                     4. Andaman and Nicobar islands          379944      10. Goa                           1457723
                     5. Sikkim                               607688      11. Nagaland                      1980602
                     6. Chandigarh                          1055450      12. Manipur                       2721756

                    (  a)  Name the least populous state in this list. _________
                    (  b)  Rewrite the population of Chandigarh in words. _________

                     (  c)  What is the place value of 3 in the population of Arunachal Pradesh? _________
                    (  d)  Rewrite the population of Puducherry in expanded form. _________

                    (  e)  Rewrite the population of at least 5 states/union territories in this list using commas

                         in the International number system. _________
                     (  f)  Which state has a population of ten lakh ninety-one thousand fourteen? _________

                    (  g)  Give the sum of the place values of three 5s in the population of Chandigarh. ________
                                                     1
                                                               2
                                                                   1
                                                           1
                2.  Solve the given expression: 2  + 1  –   ×   ÷ 9.
                                                     2     2   3   3
                3.  What is the HCF of two numbers, if their product is 108 and LCM is 36?
                 4.  Replace the letter A with a suitable    5. Complete the process of the division.
                    digit.                                                                  8

                                       A A A                                   126   4 8 7 3
                             ×            A 5                                     –  3 7 8
                                   2 7 7 A                                        –  1 0 9 3
                             + 2 7 7 A

                                3 0 A 2 A                                              –  8 5
                                                                                         7 5 6
                                                                                           9 4

                                                             4
                6.  The capacity of 8 water bottles is 12  L. If all the bottles are of the same capacity, find

                    the capacity of 12 water bottles.        5                                                  F
                                                                                                             E
                7.  Identify the types of lines from the given figure and answer the following:                   K
                                                                                                              D
                    (  a)  AN is a _______  (b)  LC is a _______  (c)  JE is a _______                    L     B  J  C

                    (  d)  DK is a _______  (e)  BC is a _______  (f)  BL is a _______                             N
                                                                                                              A
                8.  Using a compass, pencil and ruler, draw a circle of diameter 18 cm.

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