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St. Xavier’s English School & Junior College, Chaibasa, 2™4 Terminal Examination 2021-2022, STD- X, MATHEMATICS, Maximum Marks: 40, Time allowed; One and a half hours (inclusive of reading time), ALL QUESTIONS ARE COMPULSORY., , ‘The marks intended for questions are given in brackets [ |., Question 23 to 26, 27 to 30 and 31 to 34 are correlated to each other respectively, , Select the correct option for each of the following questions., , Section A [16 Marks [16x11], 1. If matrix A is of order m X n and matrix B is of order r p then the matrix AB is possible, if:@me=r (b)m = p (c)n = p @ne=r, , 2. The percentage share of IGST of total GST for an Intra-State sale of an article is, (a) 0% (b) 50% (c) 75% (d) 100%, , 3. ABCD is a trapezium with AB parallel to DC. Then the triangle similar to AAOB, is, , , , (a) AADB, (b) AADC, (c) ACOD, (d) ACOB, 4. Quantities @, 2,10 & b are in continued proportion then value of @ & b is, (a) 4,50 (b) 04,5.0 (c) 0.4,50 (d) 0.04,50, 5. Aman deposited Rs. 250 per month for | year and received Rs.3300 as the maturity, value. The rate at which received the interest is; , (a) 18.2 (b) 18.5 (c) 20 (d) 17.5, 6. The solution set representing the following number line is, + _— ° ° >, , , , nd, i, , ow, , 1, w, , ', , ce, -e, ne, we, -e

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(a) {x:x € R,-4 = x < 3}, (b) {x:x € R,-4 < x < 3}, (c) {x:x € R,-4 < x < 3}, (d) {x:x € R,-4 = x = 3}, , 7. The first three terms of an arithmetic progression (A. P.) are 17,9, 1 then the next two, terms are, , (a)-—7 and —15 (b)7and15 (c) -8 and — 16 (d) none of these, , 8. If AABC ~ ARQP then the corresponding proportional sides are, , AB BC AC _ BC AB BC AB BC, on ~ ne ©) on ~ RP © wre Osea, 9. If x € 7, then the solution set of the inequation —x < —7, is, , (a) {8,9,10...} (b) {0,1,2,3,4,5,6} (c) {0.1,2,3 ...} (d) { -8, -9, -10... }, , 10. The roots of the quadratic equation 4x* — 7x + 2 = Oare 1.390,0.359. The roots, correct to 3 significant figures are, , (a) 1.39 and 0.359 (b) 1.3 and 0.35, (c) 1.4 and 0.36 (d) 1.390 and 0.360, , 11. 1.5,3,x and 1.8 are in proportion, then x is equal to, (a)9 (b) 0,09 (c) 0.9 (d) 0.009, , 12. Ifa polynomial 2x* - 7x - 1 is divided by (x — 2), then the remainder is, (a)-4 (b) -7 (c) -9 (d) 18, , 13. If 73 is the n term of the arithmetic progression 3,5,7,9..., then ‘n’ is, (a) 36 (b) 35 (c) 15 (d) 30, , 14, The roots of the quadratic equation x? + 5x + 6 = Oare, , (a) Real and distinct (b) Real and equal, (c) Distinct (d) Not real/ imaginary, , 15. | Which of the following statement is true?, (a) All identity matrices are square matrix, (b) All null matrices are need not be square matrix, (c) For a square matrix number of rows is equal to the number of columns, , (d) All of these, 16. If (x - 2) isa factor of the polynomial x* + 2x?- 13x + k,then'k’ is equal to, , (a) -10 (b) 26 (c) -26 (d) 10

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Section B [12 Marks] [6x2], , 17. A man deposited Rs, 1500 in a recurring deposit account for 1 42 year at 8% per annum, simple interest. The interest earned by him on maturity is, , (a) 24000 (b) 1710 (c) 25710 (d) 1480, , 18. If 2x + 7 is a factor of polynomial 2x? + 5x? — 11x — 14, then its factors are, (a) (2x + 7) (x +3) (x +1), (b) (2x + 7) (x — 3) (x -1), (c) (2x + 7) (x -— 2) (x +1), (d) (2x + 7) (x +2) (x-1), 19, The following bill shows the GST rates and the marked price of articles A and B:, , , , , , , , , , , , , , , , , , , , BILL: GENERAL STORE, Articles Marked price Rate of GST, A 23000 12%, B 2120 10%, The total GST to be paid for the above bill is: (a) 348 (b) 396 (c) 372 (d) 388, , 20. The solution set for the linear inequation {x : —1< 3+4x < 23,x € I}, (a) {x:x € R,-1< x < 3}, (b) {0,1, 2, 3, 4,5}, (c) {—1,0, 1, 2,3, 4, 5}, (4) {-1,0,1, 2, 3,4}, Sa 4c oe, 21. tS =~ > then by dividendo, , , , , , , , , , , , Sat+7b _ 4c-3d fF 7b+5a _ 3d-4c, ”"Sa-7b 4c—3d © “Sac, 5a-7b — 4c-3d d 5a-7b _ 3d—4c, © Ty 3a OT ae, == 2 -1 2, 22. IfA=[_5 3] then A*is, 4 0 5 -5 5 5 -§ 5, @[} 49 [5 wo) OLS ol OLS —t), Section — C [12 Marks], , 23. The n® term of an arithmetic progression (A.P.) is (4n + 1), (i) The first three terms of this A. P. are, , (a)5,6,7 = (b)3,6,9 = (c) 5,9, 13 (d) 4, 7, 10, 24. (ii) ~~ The common difference of the A,P. is, (a) 3 (b) 4 (c) -3 (d) 2, , 25. (iii), ~= Which of the following is not a term of this A.P., (a) 25 (b) 29 (c) 28 (d) 33

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26. (iv) Sum of the first 10 terms of this A.P. is, (a) 350 (b) 230 (c) 250 (d) 330, , 27. A shopkeeper buys a curtain number of books for Rs. 960. If cost per book was Rs.8 more,, the number of books that could be bought for Rs. 960 would be 4 less. Taking the — original, , cost of each book to be Rs. x., , (i) No. of books bought for Rs. 960, 960 8, a) x (b) — (= (d) —, x x x, , 28. (ii) No, of books bought for Rs. 960 if it was Rs. 8 more., , 960 4 982 360 at, » x ) x 468 8, , 29. (iii)_~—«sdf the number of books that could be bought for Rs. 960 would be 4 less , then, the quadratic equation formed is :, a) x?7+8x-1920 = 0 b) x? —4x-—960=0, c) 2x* — 16x-—1920=0 d)x* — 14x -— 968 =0, , 30, (iv) Find the original cost of cach book, a) 40 b) 40 c) 46 d) 50, , 31. In the given figure, AX: XB = 3:5 and XY || BC, A, , x-—>—\\v, , 8 c, , @) A AXYissimilarto AABC by the theorem, , a) SAS b) AAA c) SSS d) AAS, 32. (ii) ~~‘ The ratio AX: AB is, 1 »3 3 os, * 5 ) 8 °) 5 8, , 33. iii), ~The length of BC. If the length of XY is 18 cm, , a) 44cm b) 46 cm c)48cm d4)50cm, 34. (iv) _ The ratio between the area of trapezium XBCY and triangle ABC, 64 55 48 1, a) — b= j= d) _, 55 64 55 3, , oft 2 oe fs 2fs 2s os fs fs 2s 2 oe 2s os 3s 3 oo