CBSE Class 10 Mathematics Basic Sample Paper 16 2027 Solutions

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SAMPLE PAPER 16 Sample Paper 16 Class - 10th Exam - 2026 - 27 Mathematics - Basic Time : 3 Hours Max. Marks : 80 General Instructions : Read the following instructions carefully and follow them: 1. This question paper contains 38 questions. 2. This Question Paper is divided into 5 Sections A, B,…
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page 216 Cbse Class 10th Mathematics - Basic SP AAns :  [Board Term-1 SQP 2012] Given the pair of linear equations are kx y 2 5 7 + − 0 = and x y 6 5 11 - - 0 = On comparing with a x b y c 1 1 1 + + 0 = and a x b y c 2 2 2 + + 0 = we get, a1 k 2 = , b 5 1 = , c 7 1 =− and a2 6 = , b 5 2 =−, c 11 2…
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SAMPLE PAPER 16 8. When a die is thrown, the probability of getting an odd number less than 3 is (a) 6 1 (b) 3 1 (c) 2 1 (d) 0 AAns :  Odd number less than 3 is 1 only. ( ) n S 6 = ( ) n E 1 = So, probability of getting an odd number less than 3, ( ) P E ( ) ( ) n S n E = 6 1 = Thus (a) is correct…
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page 218 Cbse Class 10th Mathematics - Basic SP Thus (c) is correct option. 13. In an AP, if d 4 =−, n 7 = and a 4 n = , then a is equal to (a) 6 (b) 7 (c) 20 (d) 28 AAns :  (d) 28 In an AP, an ( ) a n d 1 = + − 4 ( )( ) a 7 1 4 = + − − 4 ( ) a 6 4 = + − 4 24 + a = & a 28 = Thus (d) is correct…
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SAMPLE PAPER 16 AAns :  Coordinate of the centroid G of ABC T , 2 1 0 5 3 3 4 2 = − + − + + b l ( , ) 2 3 = − Since, G lies on the median, x y k 2 − + 0 = , it must satisfy the equation, k 2 6 − − + 0 = & k 8 = Thus (d) is correct option. 18. The 4th term from the end of an AP 11 - , 8 - , 5 - ,…
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page 220 Cbse Class 10th Mathematics - Basic SP AAns :  We have p x ^ h x x 3 8 4 3 2 = − + x x x 3 6 2 4 3 2 = − − + x x x 3 2 3 2 2 3 = − − − ^ ^ h h x x 3 2 2 3 = − − ^ ^h h Substituting ( ) p x 0 = , we have x x 3 2 2 3 - - ^ ^h h ( ) p x 0 = Solving we get , x 2 3 3 2 = Hence, zeroes are 3 2…
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SAMPLE PAPER 16 25. Explain why ( ) 7 13 11 11 # # + and ( ) 7 6 5 4 3 2 1 3 # # # # # # + are composite numbers. AAns :  ( ) 7 13 11 11 # # + ( ) 11 7 13 1 # # = + ( ) 11 91 1 # = + 11 92 # = and ( ) 7 6 5 4 3 2 1 3 # # # # # # + ( ) 3 7 6 5 4 2 1 1 # # # # # = + ( ) 3 1681 3 41 41 # # # = =…
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page 222 Cbse Class 10th Mathematics - Basic SP AAns :  [Board 2020 SQP Standard] Assume that 2 5 3 - is a rational number. Therefore, we can write it in the form of q p where p and q are co-prime integers and q 0 ! . Now 2 5 3 - q p = Where q 0 ! and p and q are co-prime integers. Rewriting the…
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SAMPLE PAPER 16 Section - D Section D consists of 4 questions of 5 marks each. 32. Sides of a right triangular field are 25 m, 24 m and 7 m. At the three corners of the field, a cow, a buffalo and a horse are tied separately with ropes of 3.5 m each to graze in the field. Find the area of the field…
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page 224 Cbse Class 10th Mathematics - Basic SP x x 14 5 2 − + 0 = x x 5 14 2 + − 0 = x x x 7 2 14 2 + +− − 0 = ( ) ( ) x x x 7 2 7 + − + 0 = ( )( ) x x 7 2 + − 0 = Thus x 7 =− and x 2 = Since, the digits cannot be negative, x 2 = Thus, y x 14 2 14 7 = = = Therefore, number is ( ) x y 10 27 + = 34.…
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SAMPLE PAPER 16 Here we have joined , AO BO and CO. For area of triangle we have ABC T OBC OCA OAB T T T = + + 24 rBC rAC rAB 2 1 2 1 2 1 = + + ( ) r BC AC AB 2 1 = + + ( ) r 6 10 8 2 1 = + + r 12 = or r 12 24 = Thus r 2 = cm. 35. Find the ratio in which the point ,k 3 - ^ h divides the line…
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page 226 Cbse Class 10th Mathematics - Basic SP (ii) Rs 504000 (iii) Rs 35800 (iv) Rs 35200 37. Political survey questions are questions asked to gather the opinions and attitudes of potential voters. Political survey questions help you identify supporters and understand what the public needs.…
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SAMPLE PAPER 16 Let h1 be the height of Ranjan window from ground and h2 be height of window washers from Ranjan. We draw a diagram of the situation as shown below. Here tan30c h 60 = 1 3 1 h 60 = 1 h1 3 60 20 3 = = . 20 1 732 # = . 34 64 = m Now tan60c h 60 = 2 3 h 60 = 2 h2 60 3 = . 60 1 732 # =…
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