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\u0a09\u0a71\u0a1a\u0a40 \u0a18\u0a23\u0a24\u0a3e", + "\u0a09\u0a38\u0a26\u0a40 \u0a38\u0a3f\u0a06\u0a39 \u0a2a\u0a3e\u0a32\u0a3f\u0a38\u0a3c", + "\u0a09\u0a38\u0a26\u0a40 \u0a30\u0a38\u0a3e\u0a07\u0a23\u0a15 \u0a09\u0a26\u0a3e\u0a38\u0a40\u0a28\u0a24\u0a3e", + "\u0a2e\u0a41\u0a2b\u0a3c\u0a24 (\u0a38\u0a41\u0a24\u0a70\u0a24\u0a30) \u0a07\u0a32\u0a48\u0a15\u0a1f\u0a4d\u0a30\u0a3e\u0a28\u0a3e\u0a02 \u0a26\u0a40 \u0a2e\u0a4c\u0a1c\u0a42\u0a26\u0a17\u0a40 \u0a15\u0a3e\u0a30\u0a28" + ], + "answer": "4", + "original_question_num": "114" + }, + { + "language": "pa", + "country": "India", + "file_name": "QP_PUNJAB_STATE_NTSE_STAGE_1_MAT_SAT_2019-20", + "source": "https://ntse.fiitjee.com/NTSE2019-20/QP_PUNJAB%20STATE_NTSE_STAGE%201_MAT_SAT_2019-20.pdf", + "license": "unknown", + "level": "high school", + "category_en": "maths", + "category_original_lang": "\u0a17\u0a23\u0a3f\u0a24", + "page_num": 23, + "question": "\u0a24\u0a3f\u0a15\u0a4b\u0a23 \u2206 ABC, \u0a35\u0a3f\u0a71\u0a1a \u2220C = 90\u00b0 \u0a05\u0a24\u0a47 tan A = 1 \u0a39\u0a48 \u0a24\u0a3e\u0a02 2SinA Cos A \u0a26\u0a3e \u0a2e\u0a41\u0a71\u0a32 \u0a2a\u0a24\u0a3e \u0a15\u0a30\u0a4b \u0964", + "options": [ + "\u221a2", + "\u00bd", + "1", + "1/\u221a2" + ], + "answer": "3", + "original_question_num": "149" + }, + { + "language": "pa", + "country": "India", + "file_name": "QP_PUNJAB_STATE_NTSE_STAGE_1_MAT_SAT_2019-20", + "source": "https://ntse.fiitjee.com/NTSE2019-20/QP_PUNJAB%20STATE_NTSE_STAGE%201_MAT_SAT_2019-20.pdf", + "license": "unknown", + "level": "high school", + "category_en": "maths", + "category_original_lang": "\u0a17\u0a23\u0a3f\u0a24", + "page_num": 23, + "question": "\u0a39\u0a47\u0a20 \u0a32\u0a3f\u0a16\u0a47 \u0a15\u0a25\u0a28\u0a3e\u0a02 \u0a26\u0a47 \u0a35\u0a3f\u0a1a\u0a3e\u0a30 \u0a15\u0a30\u0a4b \u0a1c\u0a26\u0a4b\u0a02 \u0a26\u0a4b \u0a38\u0a3f\u0a71\u0a27\u0a40\u0a06\u0a02 \u0a06\u0a2a\u0a38 \u0a35\u0a3f\u0a71\u0a1a \u0a15\u0a1f\u0a26\u0a47 \u0a39\u0a28 :\n(i) \u0a2d\u0a41\u0a1c\u0a3e\u0a02 \u0a26\u0a47 \u0a15\u0a4b\u0a23 \u0a2a\u0a42\u0a30\u0a15 \u0a39\u0a41\u0a70\u0a26\u0a47 \u0a39\u0a28 \u0964\n(ii) \u0a2d\u0a41\u0a1c\u0a3e\u0a02 \u0a26\u0a47 \u0a15\u0a4b\u0a23 \u0a38\u0a39\u0a2a\u0a42\u0a30\u0a15 \u0a39\u0a41\u0a70\u0a26\u0a47 \u0a39\u0a28 \u0964\n(iii) \u0a38\u0a3f\u0a71\u0a27\u0a3e \u0a38\u0a2e\u0a4b\u0a1a \u0a15\u0a4b\u0a23 \u0a2c\u0a30\u0a3e\u0a2c\u0a30 \u0a39\u0a41\u0a70\u0a26\u0a47 \u0a39\u0a28 \u0964\n(iv) \u0a38\u0a3f\u0a71\u0a27\u0a3e \u0a38\u0a2e\u0a4b\u0a1a \u0a15\u0a4b\u0a23 \u0a38\u0a39\u0a2a\u0a42\u0a30\u0a15 \u0a39\u0a41\u0a70\u0a26\u0a47 \u0a39\u0a28 \u0964\n1. (i) \u0a05\u0a24\u0a47 (iii) \u0a38\u0a39\u0a40 \u0a39\u0a28\n2. (ii) \u0a05\u0a24\u0a47 (iv) \u0a38\u0a39\u0a40 \u0a39\u0a28\n3. (i) \u0a05\u0a24\u0a47 (iv) \u0a38\u0a39\u0a40 \u0a39\u0a28\n4. (ii) \u0a05\u0a24\u0a47 (iii) \u0a38\u0a39\u0a40 \u0a39\u0a28", + "options": [ + "(i) \u0a05\u0a24\u0a47 (iii) \u0a38\u0a39\u0a40 \u0a39\u0a28", + "(ii) \u0a05\u0a24\u0a47 (iv) \u0a38\u0a39\u0a40 \u0a39\u0a28", + "(i) \u0a05\u0a24\u0a47 (iv) \u0a38\u0a39\u0a40 \u0a39\u0a28", + "(ii) \u0a05\u0a24\u0a47 (iii) \u0a38\u0a39\u0a40 \u0a39\u0a28" + ], + "answer": "2", + "original_question_num": "150" + }, + { + "language": "pa", + "country": "India", + "file_name": "QP_PUNJAB_STATE_NTSE_STAGE_1_MAT_SAT_2019-20", + "source": "https://ntse.fiitjee.com/NTSE2019-20/QP_PUNJAB%20STATE_NTSE_STAGE%201_MAT_SAT_2019-20.pdf", + "license": "unknown", + "level": "high school", + "category_en": "maths", + "category_original_lang": "\u0a17\u0a23\u0a3f\u0a24", + "page_num": 23, + "question": "3.27 \u0a35\u0a3f\u0a71\u0a1a ............. \u0a39\u0a48 \u0964", + "options": [ + "\u0a07\u0a71\u0a15 \u0a05\u0a2a\u0a42\u0a30\u0a28 \u0a38\u0a70\u0a16\u0a3f\u0a06", + "\u0a07\u0a71\u0a15 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\u0a38\u0a70\u0a16\u0a3f\u0a06\u0a35\u0a3e\u0a02 \u0a26\u0a3e \u0a1c\u0a4b\u0a5c ............. \u0a39\u0a48 \u0964", + "options": [ + "1600", + "420", + "400", + "210" + ], + "answer": "3", + "original_question_num": "152" + }, + { + "language": "pa", + "country": "India", + "file_name": "QP_PUNJAB_STATE_NTSE_STAGE_1_MAT_SAT_2019-20", + "source": "https://ntse.fiitjee.com/NTSE2019-20/QP_PUNJAB%20STATE_NTSE_STAGE%201_MAT_SAT_2019-20.pdf", + "license": "unknown", + "level": "high school", + "category_en": "maths", + "category_original_lang": "\u0a17\u0a23\u0a3f\u0a24", + "page_num": 23, + "question": "\u0a2e\u0a4b\u0a21, \u0a2e\u0a40\u0a28, \u0a2e\u0a40\u0a21\u0a40\u0a06\u0a28 \u0a05\u0a24\u0a47 \u0a2e\u0a40\u0a28 \u0a26\u0a47 \u0a35\u0a3f\u0a1a\u0a15\u0a3e\u0a30 \u0a05\u0a28\u0a41\u0a2d\u0a35\u0a24\u0a2e\u0a15 \u0a38\u0a2c\u0a70\u0a27 \u0a39\u0a48 :", + "options": [ + "\u0a2e\u0a4b\u0a21 = 3 \u0a2e\u0a40\u0a21\u0a40\u0a06\u0a28 - 2 \u0a2e\u0a40\u0a28", + "\u0a2e\u0a4b\u0a21 = 2 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\u0a26\u0a4b\u0a35\u0a3e\u0a02 \u0a26\u0a47 \u0a16\u0a47\u0a24\u0a30\u0a2b\u0a32 \u0a26\u0a3e \u0a05\u0a28\u0a41\u0a2a\u0a3e\u0a24 \u0a15\u0a26\u0a4b \u0964", + "options": [ + "14:9", + "13:11", + "13:9", + "14:11" + ], + "answer": "4", + "original_question_num": "154" + }, + { + "language": "pa", + "country": "India", + "file_name": "QP_PUNJAB_STATE_NTSE_STAGE_1_MAT_SAT_2019-20", + "source": "https://ntse.fiitjee.com/NTSE2019-20/QP_PUNJAB%20STATE_NTSE_STAGE%201_MAT_SAT_2019-20.pdf", + "license": "unknown", + "level": "high school", + "category_en": "maths", + "category_original_lang": "\u0a17\u0a23\u0a3f\u0a24", + "page_num": 23, + "question": "\u0a09\u0a38 \u0a38\u0a70\u0a16\u0a3f\u0a06 \u0a28\u0a42\u0a70 \u0a32\u0a71\u0a2d\u0a4b \u0a1c\u0a3f\u0a38 \u0a26\u0a3e \u0a35\u0a30\u0a17\u0a2e\u0a42\u0a32 \u0a09\u0a38 \u0a26\u0a47 \u0a18\u0a23\u0a2e\u0a42\u0a32 \u0a26\u0a3e \u0a26\u0a4b \u0a17\u0a41\u0a23\u0a3e \u0a39\u0a48 \u0964", + "options": [ + "64", + "128", + "16", + "4" + ], + 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