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                 \ 02-Jan-2025  Bharat Arora   Proof-2             Reader’s Sign _______________________ Date __________




                                   Model TesT PaPer – 1





                  A.  Choose the correct option in Questions 1 to 10.

                  1.  –5.5 can be expressed as a rational number in standard form as .................
                          −55                                                −11
                      (a)                     (b)  –55                  (c)                     (d)  –5.5
                           10                                                 2
                                                 0
                  2.  Multiplicative inverse of   is
                                                 5
                      (a)  5                  (b)  0                    (c)  –5                 (d)  Not defined
                        3x          5x
                  3.  If   −=   13 −   , then x is
                            7
                        2            2
                      (a)  0                  (b)  1                    (c)  5                  (d)  6
                  4.  If Sumit present age is twice of her younger sister. If his sister age 5 years ago is 3 years,
                     then Sumit present age is
                      (a)  11 years           (b)  12 years             (c)  14 years           (d)  16 years

                  5.  Sum of interior angles of a hexagon is
                      (a)  360°               (b)  540°                 (c)  720°               (d)  1080°
                  6.  Two angles of a quadrilateral are of measure 70˚ each and the other two angles are equal.
                     What is the measure of each of the equal angles?

                      (a)  100°               (b)  110°                 (c)  120°               (d)  140°
                  7.  The value of 500  – 499  is
                                       2
                                              2
                      (a)  899                (b)  900                  (c)  999                (d)  1001
                  8.  Which of the following number has same ones digit as its cubes?
                      (a)  33                 (b)  66                   (c)  77                 (d)  82
                  9.  40% of [100 – 30% of 300] is equal to

                      (a)  3                  (b)  4                    (c)  30                 (d)  40
                 10.  If the selling price of a toy car at 5% profit is ₹840, then its cost price is
                      (a)  `800               (b)  `770                 (c)  `779               (d)  `815

                Directions. (For Qs 11–12): In the following questions, a statement of Assertion (A) is followed
                by a statement of Reason (R). Choose the correct option.

                      (a)  Both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of
                         Assertion (A).
                      (b)  Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation
                         of Assertion (A).
                      (c)  Assertion (A) is true but Reason (R) is false.

                      (d)  Assertion (A) is false but Reason (R) is true.
                 11.  Assertion (A): Natural numbers lie between 12  and 13  are 25.
                                                                        2
                                                                                 2
                      Reason (R):     Natural numbers are the positive integers or non-negative integers which
                                     start from 1 and ends at infinity.

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