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ICSE Class X Prelims 2021 : Mathematics (Delhi Public School (DPS), Newtown, Kolkata)

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Saptaparna Ghosh
Delhi Public School (DPS), Newtown, Kolkata
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10/19/21, 12:54 PM CLASS 10_MATHS_PRE BOARD_SEMESTER-1 CLASS 10_MATHS_PRE BOARD_SEMESTER-1 Date: 21/10/2021 Duration: 1hour 30 minutes Marks: 40 All Questions are Compulsory The respondent's email (null) was recorded on submission of this form. * Required 1. Email * 2. NAME: * 3. SECTION: * Mark only one oval. A B c D E F G H https://docs.google.com/forms/d/1ynT8Xug3KC2ftR2owWnVUe_76Y0GNXG82T-bSa7dCbg/edit 1/12 10/19/21, 12:54 PM 4. CLASS 10_MATHS_PRE BOARD_SEMESTER-1 Q1. Rupa bought an Air Conditioner for 43,968 including a GST of 28% .The price of the Air Conditioner excluding GST is: * 1 point Mark only one oval. 35,000 34,350 34,000 33,500 5. Q2. * 1 point Mark only one oval. 7 2 3 9 6. Q3. If a and d respectively are the first term and the common difference of an A.P. having m terms, then nth term from the end is: * 1 point Mark only one oval. a + (m - 1) d a + (n -1) d a + (m - n) d a + (n - m) d https://docs.google.com/forms/d/1ynT8Xug3KC2ftR2owWnVUe_76Y0GNXG82T-bSa7dCbg/edit 2/12 10/19/21, 12:54 PM 7. CLASS 10_MATHS_PRE BOARD_SEMESTER-1 Q4. * 1 point Mark only one oval. (2x + 1) x x-2 x+1 8. Q5. ABC ~ MNP and AD, MK are the altitudes of ABC and MNP respectively. If AB = 12 cm and MN = 15 cm and AD = 8 cm then the length 1 point of MK is: * Mark only one oval. 12 cm 15 cm 14 cm 10 cm 9. Q6. The number to be subtracted from 11, 16, 19, 34 to make them proportional is: * 1 point Mark only one oval. 5 7 6 4 https://docs.google.com/forms/d/1ynT8Xug3KC2ftR2owWnVUe_76Y0GNXG82T-bSa7dCbg/edit 3/12 10/19/21, 12:54 PM 10. CLASS 10_MATHS_PRE BOARD_SEMESTER-1 Q7. Here x is a real number. * 1 point Mark only one oval. {x: x 62 , x R} {x: x 62 , x W} {x: x 62 , x R} {x: x < -2 , x R} 11. Q8. * 1 point Mark only one oval. 30 31 32 33 12. Q9. If P is the amount deposited per month, I is the amount of total interest received at the time of maturity and n is the number of months then formula of Maturity amount for a recurring deposit account is: * 1 point Mark only one oval. P+I P+In Pn+I I n https://docs.google.com/forms/d/1ynT8Xug3KC2ftR2owWnVUe_76Y0GNXG82T-bSa7dCbg/edit 4/12 10/19/21, 12:54 PM 13. CLASS 10_MATHS_PRE BOARD_SEMESTER-1 Q10. If ABC is similar to DEF such that AB = 9.1 cm, DE = 6.5cm and 1 point perimeter of DEF is 25 cm, then the perimeter of ABC is * Mark only one oval. 36 cm 30cm 35 cm 34 cm 14. Q11. * 1 point Mark only one oval. 0 1 2 3 15. Q12. If p, q, r, s are in proportion then: * 1 point Mark only one oval. (p + q): q = (r - s): s (p + q): q = (r + s): s (p + q): s = (r - s): q (p + q): q = (p - q): q https://docs.google.com/forms/d/1ynT8Xug3KC2ftR2owWnVUe_76Y0GNXG82T-bSa7dCbg/edit 5/12 10/19/21, 12:54 PM 16. CLASS 10_MATHS_PRE BOARD_SEMESTER-1 Q13. Given that 5(x + 8) > 20 5x, the smallest value of x when x W is: * 1 point Mark only one oval. 2 1 0 -1 17. Q14. * 1 point Mark only one oval. 3 2 1 0 18. Q15. * 1 point Mark only one oval. two distinct real roots two equal real roots no real roots more than 2 real roots https://docs.google.com/forms/d/1ynT8Xug3KC2ftR2owWnVUe_76Y0GNXG82T-bSa7dCbg/edit 6/12 10/19/21, 12:54 PM 19. CLASS 10_MATHS_PRE BOARD_SEMESTER-1 Q16. For what value of x, are 2x + 1, 13, 5x 3 the three consecutive terms 1 point of an A.P.? * Mark only one oval. 4 3 2 1 20. Q17. Sunetra has a recurring deposit account in a bank for 3 years at 11% 2 points per annum simple interest . If she gets 16842 on maturity, then the monthly instalment is: * Mark only one oval. 800 600 400 200 21. Q18. * 2 points Mark only one oval. 16/7 2 26/5 24/7 https://docs.google.com/forms/d/1ynT8Xug3KC2ftR2owWnVUe_76Y0GNXG82T-bSa7dCbg/edit 7/12 10/19/21, 12:54 PM 22. CLASS 10_MATHS_PRE BOARD_SEMESTER-1 Q19. * 2 points Mark only one oval. [2 3] [2 -3] [4 3] [3 4] 23. Q20. * 2 points Mark only one oval. 8 -8 16 -16 24. Q21. The solution set of the linear inequation 4 + 3x 8x + 6 30, x N is: * 2 points Mark only one oval. { 0, 1, 2, 3 } { 1, 2, 3} {- 2, -1, 1, 2, 3} { -1, 1, 2} https://docs.google.com/forms/d/1ynT8Xug3KC2ftR2owWnVUe_76Y0GNXG82T-bSa7dCbg/edit 8/12 10/19/21, 12:54 PM 25. CLASS 10_MATHS_PRE BOARD_SEMESTER-1 Q22. In the given figure, ACB ~ APQ. If AB = 6 cm, BC = 8 cm, and PQ = 2 points 4 cm then AQ is equal to: * Mark only one oval. 2.5 cm 2 cm 3 cm 3.5 cm 26. Q23. (i) A dealer purchases an article from a manufacturer at a price of 1 point 10,000 and sells it to a retailer at 12,000. The retailer then sells the product to the customer at a basic price of 15,000. If the rate of GST is 18%, the total CGST paid by the Manufacturer is : * Mark only one oval. 1800 2160 900 360 https://docs.google.com/forms/d/1ynT8Xug3KC2ftR2owWnVUe_76Y0GNXG82T-bSa7dCbg/edit 9/12 10/19/21, 12:54 PM 27. CLASS 10_MATHS_PRE BOARD_SEMESTER-1 Q23 (ii). A dealer purchases an article from a manufacturer at a price of 1 point 10,000 and sells it to a retailer at 12,000. The retailer then sells the product to the customer at the basic price of 15,000. If the rate of GST is 18%, the Net SGST paid by the dealer to the Government is: * Mark only one oval. 1080 1350 900 180 28. Q23(iii). A dealer purchases an article from a manufacturer at a price of 1 point 10,000 and sells it to a retailer at 12,000. The retailer then sells the product to the customer at the basic price of 15,000. If the rate of GST is 18%, the Net CGST paid by the retailer to the Government is: * Mark only one oval. 1350 1080 270 180 29. Q23(iv).A dealer purchases an article from a manufacturer at a price of 10,000 and sells it to a retailer at 12,000. The retailer then sells the product to the customer at a basic price of 15,000. If the rate of GST is 18%, the Total GST collected by the Government is: * 1 point Mark only one oval. 2700 1800 900 450 https://docs.google.com/forms/d/1ynT8Xug3KC2ftR2owWnVUe_76Y0GNXG82T-bSa7dCbg/edit 10/12 10/19/21, 12:54 PM 30. CLASS 10_MATHS_PRE BOARD_SEMESTER-1 Q24(i). * 2 points Mark only one oval. 9 12 -8 8 31. Q24(ii). * 2 points Mark only one oval. 8 12 10 -10 32. Q25(i). Given are two Arithmetic Progressions : a) -8, -5, -2, 1, 4,------ b) 190, 187, 184, 181,------.The sum of the common difference of the two 1 point progressions is: * Mark only one oval. 6 -6 1 0 https://docs.google.com/forms/d/1ynT8Xug3KC2ftR2owWnVUe_76Y0GNXG82T-bSa7dCbg/edit 11/12 10/19/21, 12:54 PM 33. CLASS 10_MATHS_PRE BOARD_SEMESTER-1 Q25(ii). Given are two Arithmetic Progressions : a) -8, -5, -2, 1, 4,------ b) 1 point 190, 187, 184, 181,------.The sum of the first 20 terms of the first progression is: * Mark only one oval. 410 430 450 455 34. Q25(iii).Given are two Arithmetic Progressions : a) -8, -5, -2, 1, 4,------ b) 2 points 190, 187, 184, 181,------. Which term of the two progressions will have the same value? * Mark only one oval. 33 34 35 36 This content is neither created nor endorsed by Google. Forms https://docs.google.com/forms/d/1ynT8Xug3KC2ftR2owWnVUe_76Y0GNXG82T-bSa7dCbg/edit 12/12

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