CBSE Class 10 Mathematics Basic Sample Paper 25 2027 Solutions

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page 338 Cbse Class 10th Mathematics - Basic SP Sample Paper 25 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…
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SAMPLE PAPER 25 2 1 BD 6 = & BD m 12 = Thus length of wire is 12 m. Thus (a) is correct option. 3. Two circles of radii 20 cm and 37 cm intersect in A and B. If O1 and O2 are their centres and , cm AB 24 = then the distance O O 1 2 is equal to (a) 44 cm (b) 51 cm (c) 40.5 cm (d) 45 cm AAns : …
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page 340 Cbse Class 10th Mathematics - Basic SP 8. The condition for one root of the quadratic equation ax bx c 0 2 + + = to be twice the other, is (a) b ac 4 2 = (b) b ac 2 9 2 = (c) c a b 4 2 2 = + (d) c a b 9 2 2 = − AAns :  Sum of zeroes 2 α α + a b =− 3α a b =− & α a b 3 =− Product of zeroes…
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SAMPLE PAPER 25 13. In an AP, if a 1 = , a 20 n = and S 399 n = , then n is equal to (a) 19 (b) 21 (c) 38 (d) 42 AAns :  (c) 38 We have a 1 = , an 20 = and Sn 399 = Now, Sn ( ) n a a 2 n = + 399 ( ) n 2 1 20 = + n 21 399 2 # = 38 = 14. In Figure, || DE BC . Find the length of side AD , given that…
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page 342 Cbse Class 10th Mathematics - Basic SP POQ OPQ OQP + + + + + 180c = Equal sides subtend equal angles in isosceles triangle. Thus OQP 2 90c + + 180c = OQP + 45c = Thus (b) is correct option. 17. If tan b a θ = , the value of sin cos sin cos a b a b θ θ θ θ + − is (a) a b a b 2 2 + − (b) a b…
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SAMPLE PAPER 25 area ( ) DEF T 16 64 25 # = 4 25 # = cm 100 2 = Assertion is true. But Reason is not correct explanation for Assertion. Thus (b) is correct option. Section - B Section B consists of 5 questions of 2 marks each. 21. In the figure, PQRS is a trapezium in which || . PQ RS On PQ and ,…
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page 344 Cbse Class 10th Mathematics - Basic SP Favourable outcomes are GG, GB and BG. Thus n E ^ h 3 = P (at least one girl), P E ^ h n S n E = ^ ^ h h 4 3 = 25. In an equilateral triangle of side 24 cm, find the length of the altitude. AAns :  Let ABC T be an equilateral triangle of side 24 cm…
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SAMPLE PAPER 25 x y 3 3 2 2 + + − 54 = x y 3 2 + 53 = (1) and x y 3 1 2 1 − + + 8 = x y 2 1 3 1 − + + ^ ^ h h 48 = x y 2 2 3 3 − + + 48 = x y 2 3 + 47 = (2) Multiplying equation (1) by 3 we have x y 9 6 + 159 = (3) Multiplying equation (2) by 2 we have x y 4 6 + 94 = (4) Subtracting equation (4)…
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page 346 Cbse Class 10th Mathematics - Basic SP 1 cos sin cos sin cos sin sin A A A A A A A 1 1 1 2 2 2 2 2 2 2 = − + − cos sin cos cos sin cos sin sin cos sin A A A A A A A A A A 1 2 2 2 2 2 2 2 2 2 2 = + − − sin cos sin sin cos cos A A A A A A 2 2 2 2 2 2 = − + − cos cos A A 1 1 2 2 = − − cos A 1…
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SAMPLE PAPER 25 Section - D Section D consists of 4 questions of 5 marks each. 32. Solve for x : x x 1 1 2 2 + + + x 4 4 = + , , x 1 2 4 !- - - AAns :  We have x x 1 1 2 2 + + + x 4 4 = + x x x x 1 2 2 2 1 + + + + + ^ ^ ^ h h h x 4 4 = + x x x 3 2 3 4 2 + + + x 4 4 = + x x 3 4 4 + + ^ ^h h x x 4 3…
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page 348 Cbse Class 10th Mathematics - Basic SP AAns :  [Board 2020 SQP STD] Let a 170 = be assumed mean. CI xi ( )f x 170 i - x 20 170 i - f u i i 100-120 110 10 60 - 3 - 30 - 120-140 130 15 40 - 2 - 30 - 140-160 150 20 20 - 1 - 20 - 160-180 170 22 0 0 0 180-200 190 18 20 1 18 200-220 210 12 40 2…
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SAMPLE PAPER 25 CA ( ) ( ) 4 1 4 7 2 2 = − − + − ( ) ( ) 5 3 2 2 = − + − 25 9 = + 34 = units Thus distance travelled by seema is 34 units. Similarly, distance travelled by Aditya CB ( ) ( ) 4 4 4 2 2 2 = + + − 8 2 2 2 = + 64 4 = + 68 = units Distance travelled by Aditya is 68 units and Aditya…
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page 350 Cbse Class 10th Mathematics - Basic SP 38. Underground water tank is popular in India. It is usually used for large water tank storage and can be built cheaply using cement-like materials. Underground water tanks are typically chosen by people who want to save space. The water in the…
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