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HUTCHINGS HIGH 8CHOOL AND JUNIOR COLLEGE PRELIMINARY EXAMINATION 2022-2023 MATHEMATICS CLABS X TIME: 2 HOURS 30 MIN MAX MARKS:80 Total number of printed sides: 5 Answers to this paper must be written on the paper provided separately. You will not be allowved to write during the first 15 minutes. Thus time is to be spent in reading the question paper. The tune given at the head of this paper is the time allowed for uwriting the answers. Attempt all questions from Section A and angy four from Section B. All working, including rough work, must be clearly shown, and must be done on the same sheet as the rest of the answer. Omission of essential work will result in loss of marks. The intended marks for questions or parts of questions are given in brackets[ Mathematical tables are provide SECTION A (Attempt all questions from this section) QUESTION 1 Choose the correct answers to the questions from the given options: ( Which of the (a) 0.7 15 following cannot be the probability of an event? (b) 23 c-1.5 d 15% 023 (ii) In triangles ABC and DEF, LB = LE,LF = LC and AB 3DE, then the two triangles are (a congruent but not similar (c) neither congruent nor similar (ii fb) similar but not congruent congruent and similar (d Voiume of a hemispherical ball of diameter 10.5cm can hold? tal 0303lit bj 3.03lit(0.030lit (d) 30.3lit (iv) Which ofthe following points is invariant with respect to the line y =-2 a) (3,2) b)(3,-2) (v ) (2,3) (d) (-2, 3) The 21st term of an A.P whose first two terms are -3 and 4, is (a) 17 (b) 137 (c) 143 (d) -143 (vi) If the cost of an article is Rs. 25,000, and CGST paid by the customer is Rs. 2250, the rate of GST is (a) 9% (viyttY (b) 10% (c) 15% and 2X+Y-L thenX is Pg 1 (d) 18%
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