1. The LCM of smallest two-digit composite number and smallest composite number is: a) 12 b) 4 c) 20 d) 44
2. The pair of equations y = 0 and y = -7 has: a) One solution b) Two solutions c) Infinitely many solutions d) No solution
3. The distance of the point(3, 5) from x-axis is k units, then k equals: a) 3 b) – 3 c) 5 d) -5
4. Which of the following is NOT a similarity criterion? a) AA b) SAS c) AAA d) RHS
5. If the height of the tower is equal to the length of its shadow, then the angle of elevation of the sun is _____ a) 30° b) 45° c) 60° d) 90°
6. The radius of a circle is same as the side of a square. Their perimeters are in the ratio a) 1 : 1 b) 2 : 𝜋 c) 𝜋 : 2 d) √𝜋 : 2
7. The area of the circle is 154cm2. The radius of the circle is a) 7cm b) 14cm c) 3.5cm d) 17.5cm
8. A rectangular sheet of paper 40cm x 22cm, is rolled to form a hollow cylinder of height 40cm. The radius of the cylinder(in cm) is : a) 3.5 b) 7 c)80/7 d) 5
9. Assertion (A): The point (0, 4) lies on y-axis. Reason(R): The x coordinate of the point on y-axis is zero (a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A). (b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A). (c) Assertions (A) is true but reason (R) is false. (d) Assertions (A) is false but reason (R) is true.
10. Assertion (A): The HCF of two numbers is 5 and their product is 150. Then their LCM is 40. Reason(R): For any two positive integers a and b, HCF (a, b) x LCM (a, b) = a x b. (a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A). (b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A). (c) Assertions (A) is true but reason (R) is false. (d) Assertions (A) is false but reason (R) is true.
General Instructions: 1. This Question Paper has 5 Sections A, B, C, D, and E. 2. Section A has 20 Multiple Choice Questions (MCQs) carrying 1 mark each. 3. Section B has 5 Short Answer-I (SA-I) type questions carrying 2 marks each. 4. Section C has 6 Short Answer-II (SA-II) type questions carrying 3 marks each. 5. Section D has 4 Long Answer (LA) type questions carrying 5 marks each. 6. Section E has 3 sourced based/Case Based/passage based/integrated units of assessment (4 marks each) with sub-parts of the values of 1, 1 and 2 marks each respectively. 7. All Questions are compulsory. However, an internal choice in 2 Qs of 2 marks, 2 Qs of 3 marks and 2 Questions of 5 marks has been provided. An internal choice has been provided in the 2 marks questions of Section E. 8. Draw neat figures wherever required. Take π =22/7 wherever required if not stated.
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