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CTET Sept 2016 Paper ll Lesson-4 (in Hindi)
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This lesson contain solutions with proper explanations for question number 24 to 30 of CTET Sept 2016 Paper ll " Mathematics section"

Mayank Agnihotri
B.Tech (ECE), Machine enthusiast, Inspired by an old hindi saying " Gyan baatne se badhta ha"

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1. CTET sept 2016 Paper lI Lesson - 4 BY MAYANK AGNIHOTRI

2. Ques 24. A tank is in the form of cuboid. It holds a maximum of 540 m3 water. If the tank is 8 m long and 15 m wide, then how many metres deep must the water be when the tank is - full? (1)2 (2) 4.5 (3) 2.5 (4) 3 So Given, volume of tank 540 m3, length of tank 8 m and breadth of tank -15 m -volume-x540-2 180 m3 = 360 m3 "volume = 1 b h = 8 15 h=120h 360 3 m Hence, the water must be 3 m deep 120

3. Ques 25. The ratio of the areas of two equilateral triangles is 16:9. If the perimeter of the smaller triangle is 63 cm, then how much larger is a side of the larger triangle than a side of the smaller triangle? (1) 3 cm (2) 7 cm (3) 4 cm (4) 5 cm Sol Area of an equilateral triangle 8 a2 Area of larger equilateral triangle 16 Area of smaller equilateral triangle9 Now, a1V16 4 9 3 a2 9 Now, perimeter of the smaller triangle 63 cm [given] 3a,-63 63 a,-- 21 cm2 (a since a1-a,--x21 28 cm2 (a 3 Now al-a2 = 28-21 = 7 cm Ans

4. Ques 26. The area of a triangle is equal to the area of a circle whose perimeter is 6 cm. If the base of the triangle is 8 cm, then its corresponding height (in cm) is (1) (2) 2.25 (3) 2 (4) 2.25 Sol. Perimeter of circle-. 2 [r - radius of circle ] -3cm 2 = Area of circle= 2= (3) 2-9 cm2 Now, Area of a triangle Area of a circle given] Base Height = 9 ,' [ where h- height of triangle] 4

5. Ques 27. Which of the following numbers does not lie betweenand 6 8 (1) (2) (3) (4) 24 12 2 3 4 2 3 2 3 3 1 7 Given -- 8 Sol LCM of 6 & 8 = 2 x 2 x 2 x 3 = 24 -5-5x4 -20 5 5X4 20 -11-11 2-22 6 6x4 24 6 6X4 24 12 12 2 24 7 3 21 8 8x3 24 -3-3x6-18 24 24 Now plot all the numbers on number line -20 -19-18 -17o 24 24 24 24 20 21 24 24 5 does not lie betweenand 12 6 8

6. Ques 28. The Reciprocal of G,-x ( )31is (2)(c),( )31 125 (1) (3) (4) 125 125 64 125 125 Sol e)) 1259-6419 Now Reciprocal of 125 125 Ans Ques 29. If (132 -s)2 6x A, then the val (1)2 (2)24 (3)22 (4)23 Sol (132 - 52)3/ (169 25)3/2 - (144)3/2 (122)32 122x2 123 123 12-23 Ans 6

7. Ques 30. If xV243-yV867, where x and y are co-prime numbers, then the value of (x-y) is (1) 3 (2) 8 (3)4 (4) 6 Sol. rv243-y1867 x V867 867 28917 81 9 17 17 if y 9 then, x X9 17 9 & 17 are co-prime numbers x-y-17-9-8 Ans