CBSE Class 10 Mathematics Basic Sample Paper 18 2027 Solutions

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SAMPLE PAPER 18 Sample Paper 18 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 244 Cbse Class 10th Mathematics - Basic SP 3. 2 3 is (a) an integer (b) a rational number (c) an irrational number (d) a whole number AAns :  [Board 2020 OD Basic] Let us assume that 2 3 is a rational number. Now 2 3 r = where r is rational number or 3 r 2 = Now, we know that 3 is an…
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SAMPLE PAPER 18 9. The value of k for which the system of linear equations x y 2 3 + = , x ky 5 7 0 + + = is inconsistent is (a) 3 14 - (b) 5 2 (c) 5 (d) 10 AAns :  We have x y 2 3 + − 0 = and x ky 5 7 + + 0 = If system is inconsistent, then a a 2 1 b b c c 2 1 2 1 ! = From first two orders, we…
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page 246 Cbse Class 10th Mathematics - Basic SP , , , 2 2 2 2 2 2 2 3 2 − − − − + − − + − ^ ^ h h , , , 2 4 6 8 =− − − − Thus (c) is correct option. 14. In the given figure, if , , A º B º 90 90 + + = = . OB 4 5 = cm OA 6 = cm and AP 4 = cm then find . QB (a) 3 cm (b) 6 cm (c) 4.5 cm (d) 3.5 cm…
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SAMPLE PAPER 18 Let the height of pole be .h As per given in question we have drawn figure below. Now h 2 3 tan60º = h º tan 2 3 60 = 2 3 3 6 # = = m Thus (b) is correct option. 18. The radius of a circle whose circumference is equal to the sum of the circumferences of the two circles of diameters…
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page 248 Cbse Class 10th Mathematics - Basic SP Section - B Section B consists of 5 questions of 2 marks each. 21. A bag contains cards bearing numbers from 11 to 30. A card is taken out from the bag at random. Find the probability that the selected card has multiple of 5 on it. AAns :  No. of…
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SAMPLE PAPER 18 and DB AD EC AE = By converse of BPT, DE BC < Due to corresponding angles we have ADE + ABC + = and AED + ACB + = Given ADE + AED + = Thus ABC + ACB + = Therefore BAC is an isosceles triangle. 25. Explain whether 3 12 101 4 # # + is a prime number or a composite number. AAns :  A…
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page 250 Cbse Class 10th Mathematics - Basic SP AR BP + AQ CP = + AQ BP + AQ CP = + BP CP = Hence, the point of contact P bisects BC . 29. A glass is in the shape of a cylinder of radius 7 cm and height 10 cm. Find the volume of juice in litre required to fill 6 such glasses. Use 7 22 π = O The…
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SAMPLE PAPER 18 Marks fi xi u h x a i i = − f u i i 60-65 3 62.5 3 9 f 110 i = / f u 59 i i =− / Let a be assumed mean, where a . 47 5 = Mean M a N f u h i i # = + / . ( ) 47 5 110 59 5 # = + − . . 47 5 2 682 = − . 44 818 = Section - D Section D consists of 4 questions of 5 marks each. 32. Four…
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page 252 Cbse Class 10th Mathematics - Basic SP ( ) x x x x 200 200 − − + 2 600 1 # = x x 200 200 2 - 1200 1 = x x 200 2 - 240000 = x x 200 240000 2 - - 0 = x x x 600 400 240000 2 − + − 0 = ( ) ( ) x x x 600 400 600 − + − 0 = ( )( ) x x 600 400 − + 0 = & , x 400 600 = Since, speed cannot be…
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SAMPLE PAPER 18 , AN AP CN = CM = and BM BP = Now taking AN AP = AC CN - AB BP = − b r - c BM = − b r - c a r = − − ^ h b r - c a r = − + r 2 a b c = + − r a b c 2 = + − Hence Proved. O Here OPT ∆ is right angled triangle because PT is tangent on radius OP . Thus PT 13 5 2 2 = − 169 25 12 = − = cm…
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page 254 Cbse Class 10th Mathematics - Basic SP Patel was highly respected for his leadership in uniting the 562 princely states of India to form the single Union of India. It is located in the state of Gujarat and it is the world’s tallest statue. (i) For a person standing 240 m from the center of…
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SAMPLE PAPER 18 15 0 0 = = (iii) The probability of drawing an even number, Let E3 be the event that the selected ball is having an even number i.e. 2, 4, 6, 8, 10, 12, 14 Favourable outcome, ( ) n E3 7 = Probability, ( ) P E3 ( ) ( ) n S n E3 = 15 7 = (iv) The probability of drawing a multiple of…
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