Time: 3hours Max. Marks 90 General Instructions 1. All questions are compulsory. 2. Draw neat labeled diagram wherever necessary to explain your answer. 3. Q.No. 1 to 8 are of objective type questions, carrying 1 mark each. 4. Q.No.9 to 14 are of short answer type questions, carrying 2 marks each. 5. Q. No. 15 to 24 carry 3 marks each. Q. No. 25 to 34 carry 4 marks each.
Point (–3, 5) lies in the (A) first quadrant (C) third quadrant
(B) second quadrant (D) fourth quadrant
If ∆ ABC ≅ ∆ PQR and ∆ ABC is not congruent to ∆ RPQ, then which of the following is not true: (A) BC = PQ (B) AC = PR (C) QR = BC (D) AB = PQ ABCD is a cyclic quadrilateral such that AB is a diameter of the circle circumscribing it and ∠ADC = 140º, then ∠BAC is equal to: (A) 80º (B) 50º (C) 40º (D) 30º The linear equation 3x – y = x – 1 has : (A) A unique solution (B) Two solutions (C) Infinitely many solutions (D) No solution The width of each of five continuous classes in a frequency distribution is 5 and the lower class-limit of the lowest class is 10. The upper class-limit of the highest class is: (A) 15 (B) 25 (C) 35 (D) 40 In a cylinder, if radius is halved and height is doubled, the volume will be (A) Same (B) doubled (C) halved (D) four times
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In a sample study of 642 people, it was found that 514 people have a high school certificate. If a person is selected at random, the probability that the person has a high school certificate is : (A) 0.5 (B) 0.6 (C) 0.7 (D) 0.8 The total surface area of a cube is 96 cm2. The volume of the cube is: (A) 8 cm3 (B) 512 cm3 (C) 64 cm3 (D) 27 cm3 AD and BC are equal perpendiculars to a line segment AB (See the given figure). Show that CD bisects AB.
Find the capacity in litres of a conical vessel with (i) radius 7 cm,... [continues]
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