Page 2 : (i) Find the 34" term of the progression written by Madhuri., , (a) 286 (b) 88 (c) -99 (d) 190, (ii) Find the sum of common difference of the two progressions., , (a) 6 (b) -6 (c) 1 (d) 0, (iii) Find the 19" term of the progression written by Geeta., , (a) 49 (b) 59 (c) 52 (d) 62, (iv) Find the sum of first 10 terms of the progression written by Geeta., , (a) 85 (b) 95 (c) 110 (d) 200, (v) Which term of the two progressions will have the same value?, , (a) 31 (b) 33 (c) 32 (d) 30, Shoe Shop, , Meena’s mother start a new shoe shop. To display the shoes, she put 3 pairs of shoes in 1" row, 5 pairs in 2" row,, 7 pairs in 3“ row and so on., , , , A SHOE STORE, , Bea, , On the basis of above information, answer the following questions., , , , , , , , (i) If she puts a total of 120 pairs of shoes, then the number of rows required are, , (a) 5 (b) 6 (c) 7 (d) 10, (ii) Difference of pairs of shoes in 17" row and 10" row is, (a) 7 (b) 14 (c) 21 (d) 28, , (iii) On next day, she arranges x pairs of shoes in 15 rows, then x =, (a) 21 (b) 26 (c) 31 (d) 42

Page 3 : (iv) Find the pairs of shoes in 30" row., (a) 61 (b) 67 (c) 56 (d) 59, , (v) The total number of pairs of shoes in 5" and 8" row is, (a) 7 (b) 14 (c) 28 (d) 56, , —, , Pocket Money, Anuj gets pocket money from his father everyday. Out of the pocket money, he saves € 2.75 on first day,, %3.0n second day, f 3.25 on third day and so on., , On the basis of above information, answer the following questions., , (i) What is the amount saved by Anuj on 14 day?, , (a) $6.25 (b) %6 (c) %6.50 (d) 76.75, (ii) What is the total amount saved by Anuj in 8 days?, , (a) 718 (b) %33 (c) 724 (d) 29, (iii) What is the amount saved by Anuj on 30" day?, , (a) 710 (b) %12.75 (c) 10.25 (d) 9.75, (iv) What is the total amount saved by him in the month of June, if he starts savings from 1“ June?, , (a) 7191 (b) 191.25 (c) 7192 (d) 7192.5, (v) On which day, he save tens times as much as he saved on day-1?, , (a) 9% (b) 99% (c) 10 (a) 100", , Board Game, In a board game, the number of sea shells in various cells forms an A.P. If the number of sea shells in the 3“ and, 11" cell together is 68 and number of shells in 11" cell is 24 more than that of 3 cell, then answer the following, questions based on this data., (i) What is the difference between the number of sea shells in the 19 and 20" cells?, , (a) 2 (b) 3 (c) 8 (d) 7, (ii) How many sea shells are there in the first cell?, , (a) 52 (b) 18 (c) 16 (d) 54

Page 4 : (iii) How many total sea shells are there in first 13 cells?, , (a) 442 (b) 221 (c) 204 (d) Can't be determined, (iv) Altogether, how many sea shells are there in the first 5 cells?, , (a) 220 (b) 125 (c) 96 (d) 110, (v) What is the sum of number of sea shells in the 7 and 9" cell?, , (a) 42 (b) 32 (c) 74 (d) 80, Q————~—_—, , Number Cards Game, , Amit was playing a number card game. In the game, some number, cards (having both +ve or —ve numbers) are arranged in a row, such that they are following an arithmetic progression. On his, first turn, Amit picks up 6" and 14" card and finds their sum to, be -76. On the second turn he picks up 8" and 16" card and finds, their sum to be -96., , Based on the above information, answer the following questions., , , , (i) What is the difference between the numbers on any two, consecutive cards?, , (a) 7 (b) -5 (c) 11 (d) -3, (ii) The number on first card is,, , (a) 12 (b) 3 (co) 5 (d) 7, (iii) What is the number on the 19" card?, , (a) -88 (b) -83 (c) -92 (d) -102, (iv) What is the number on the 23" card?, , (a) -103 (b) -122 (c) -108 (d) -117, (v) The sum of numbers on the first 15 cards is, , (a) -840 (b) -945 (c) -427 (b) -420, , Treasure Hunt Game, While playing a treasure hunt game, some clues (numbers) are hidden in various spots collectively forms an A.P., , If the number on the n' spot is 20 + 4n, then answer the following questions to help the player in spotting the, clues.

Page 5 : (i) Which number is on the first spot?, , (a) 20 (b) 24 (c) 16 (d) 28, (ii) Which number is on the (n — 2) spot?, , (a) 16+4n (b) 24+4n (c) 12+4n (d) 28+4n, (iii) Which number is on the 34th spot?, , (a) 156 (b) 116 (c) 120 (d) 160, (iv) What is the sum of all the numbers on the first 10 spots?, , (a) 410 (b) 420 (c) 480 (d) 410, (v) Which spot is numbered as 116?, , (a) s® (b) 8 () 9 (a) 24%, , A sequence is an ordered list of numbers. A sequence of numbers such that the difference between the consecutive, , terms is constant is said to be an arithmetic progression (A.P.)., On the basis of above information, answer the following questions., , (i) Which of the following sequence is an A.P.?, , (a) 10, 24, 39, 52, .... (b) 11, 24, 39, 52, ... (c) 10,24,38,52,... (d)_ 10, 38, 52, 66, ...., (ii) Ifx, y and zare in A.P., then, , (a) x+z=y (b) x-z=y (c) x+z=2y (d) None of these, (iii) If a), a, a3, ....., 4, are in A.P., then which of the following is true?, , (a) a,+k,a,+k,a,+k,....., 4, + kare in A.P. where k is a constant., , (b) k-a,,k-a,,k-a,,.....,k-—a,, are in A.P., where k is a constant., , (c) ka,, ka, ka, ....., ka, are in A.P., where k is a constant., (d) All of these, , (iv) If the n'® term (n > 1) of an A.P. is smaller than the first term, then nature of its common difference (d) is, (a) d>0 (b) d<0, (c) d=0 (d) Can't be determined, , (v) Which of the following is incorrect about A.P.?, (a) All the terms of constant A.P. are same., (b) Some terms of an A.P. can be negative., (c) All the terms of an A.P. can never be negative., (d) None of these., , _Q—__—, Assessment on A.P., , Jack is much worried about his upcoming assessment on A.P. He was vigorously, practicing for the exam but unable to solve some questions. One of these, questions is as shown below., , If the 3“ and the 9" terms of an AP. are 4 and — 8 respectively, then help Jack, in solving the problem.