Page 40 - Mathematics Class - X
P. 40

MCQs




          1.  In an AP, if a = 3.5, d = 0, n = 101, then T  will be
                                                      n
              a)  0                   b)  3.5                 c)  103.5              d)  104.5
                                           − 5     5
          2.  The 11th term of the AP: 5,−    , 0,   , ...is
                                            2      2

              a)  –20                 b)  20                  c)  – 30               d)  30
          3.  If the 2  term of an AP is 13 and the 5  term is 25, what is its 7  term?
                                                                           th
                                                   th
                     nd
              a)  30                  b)  33                  c)  37                 d)  38
          4.  Which term of the AP: 21, 42, 63, 84,... is 210?

              a)  9                   b)  10                  c)  11                 d)  12 th
                   th
                                                                   th
                                            th
          5.  The famous mathematician associated with finding the sum of the first 100 natural numbers is
              a)  Pythagoras          b)  Newton              c)  Gauss              d)  Euclid

        Answers:   1. b) 3.5                     2. b) 20                      3. b) 33

                    4. b) 10                     5. c) Gauss
                           th


                                    Case-Study Based Questions
                                    Case-Study Based Questions
          Everybody wants to celebrate his/her birthday. Reshu is
          celebrating her birthday party. She invited her friends on
          this occasion. She arranged a number card game. In this
          game, number cards are distributed among her friends
          such that they are following an arithmetic progression.
          Reshu made sure that  each of her friends who stood
          in  a  row  gets  a  card.  The  first  three  cards  marked
          2x,  x +  10  and 3x + 2 are given to Azhar, Rani and
          Sanjay respectively.
          Based upon the above information, answer the questions given below:

             1.  Rani is a curious child, she wants to find the sum of the number cards obtained by her, Azhar and
                Sanjay.

             2.  Reshu has called only a few numbers of her closed friends in this party. Dhruv is her friend who gets the
                last card with the number 56. If so, find how many of Reshu’s friends are attending the birthday party.













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