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Q.

In an examination, a student scores 4 marks for every correct answer and loses a mark for every wrong answer. If she attempts in all 50 questions and scores 120 marks, the number of questions she attempts correctly is:


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a

62

b

44

c

42

d

34

answer is D.

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Detailed Solution

Concept- Formulate the linear equation of one variable using a given statement.
Let, the number of correct answers be https://lh5.googleusercontent.com/vz_4fMpmGbGPxEjRUc59rPT1BFGcyc0wH1Ko_78NSYsG7ZDhYXxUpVAMITnPR0nNpMvQSeMzQgAdbi_5KQf2PH1MaqnZ2IMy7z9X1sMkyuL9uhoIx-vykHzNiioLwJX40cGzN6QdZymCkiY6FJTVw4ANumber of questions attempted https://lh4.googleusercontent.com/HHx7Z9oLgxlcuu5kHNoUebQbDFe8WRiopkR60oSNnlMITPiayV0prUxC5eYzvMMyheT-LYjukcUiM6GrrmDrbp6IvpWs_eEFKWgERVVRNvK3BUnYMr7739ahdSqmRhL3b2TlHR72FxGWBbQTBJEngzYTherefore, number of wrong answers https://lh5.googleusercontent.com/mwneQ6_8vq_QtWluk_vvXPiT8h477Gb-PofaAv8D_Y4O2lOLEJah33i5CtSY8qeyQMl3e2Om2DFDrfBHS-AcRE5stoK6D1mrYtU5JpYCyvZGpq_mv-Qshfccrs7Wi7Sgcbb2t-asqx2Bui5UdX_DPRoScore of correct and wrong answers are https://lh3.googleusercontent.com/klvoU7vXvCUJI5iyKFczq4ojCFY2rJe1qEVEOzxrIRi_7cgsZ1fYTIo7mKKtEh2baIDyhC11C3PCoaris628FlgIV8acXXqCI42f4mX8saZsJv7iBj8_UYVp_IdqDJx6DsxcxHSUVxelQ3Rn7gPXpgk marks, https://lh5.googleusercontent.com/fzAUAlO8kRIDl3TZDRA_XeWnGpgqyRM5Top3rwbkRg4a9uCOKV77j4Oi--dMKUsGcIepid0k8CxiQi4XHfxgsrTi2rriahi1ig_nu4rP5828h-PdnGpSnazFhk0tx51M4YbXbwgnWtCdJKhQ-ue8v5U mark respectively
Total marks scored https://lh5.googleusercontent.com/FhbEg6NTMjQhXtMnMGxDhr27KTKakqsbmgR1Ag-0AJzEVtCbSZ-Wf5uKxNxd_LzqJYAqn2eZcv-n1YNZMzECJBNZgqA5HxK-H4_lmm0hV2Zvkz0y_gvW1iQpGHNh0PYyZrwR50UYcfxrDDZ3xTtPZp4https://lh4.googleusercontent.com/TJv6WXN1viCRL_7XOEgqPYGAVH-sm8IPCNR__MbFVhLwAsqQHYWtJw8hYSvUe2yVDKR_nRt4vHpLR_zXQrpXf6jXHQU1t1azEuuCK98rwIum7HJMOcXQbSFSM_l2gTeDFCCRe0KV37K6mUZw1oBeZwwhttps://lh6.googleusercontent.com/vNANJ-LfEpKGcw7l4ibdHesnFayYXOoQXu-IaTFNzOLgvUcaBkBvvBpfQJPfJoF5LivQQsErtOEGSBBhZUaSDKfoyrVSA_RMp1K3QMK9wrOCtQ0vl2ypgRWuJumjxym7IGgO72vU9qMrv4ctwvWT-iwhttps://lh5.googleusercontent.com/GCws1hOcsj1bGvGMqlGIuJ_DKINrb5ywojuECf32ooHI4rUlXTBVGzZc6ho1bOou8joS0aTGfiq0bOx_6Sr69rGqAiZJeHQJbNvgl3089j5HqVTF_8aZwBawxgM-xztDv2KJcBvVVy97fYCPFgs0j90https://lh5.googleusercontent.com/fulFlXJVPfExqN5OLfYLPDO5xldnAZzbGrq0XftO9UWq3gwELGWEiagvyM7o3S7NINEQ3nUc7wFcxBzyPrP-ct3HNT_iTsMFYBLIRcPT7lSEQ8Mkmxam9CxuY1uaTIDlL1yIx7sMdJZyEEi66QTv7hUhttps://lh4.googleusercontent.com/7nljR5T2UR1Lfxb7It3v8BlkfP2zhZ28J1Hnxzi6L0CxMJR-cPvQO7Vx7A0yHQOCZuvQ5_EXZGbIaK9fcjD_l4mtPZSOd-4oy4t3BqLhgcFf1dsfb0cuV_J2lk4nhUppvS27Owo0huSGTsRAX1QZavkSo, the number of correct answers are https://lh5.googleusercontent.com/vR4B7AikYSEDeV0RKT2lANPhvV7PVnL9MNio7Bz59j5ZLzZdXuwRgxHUuoZK2pfC7-2Kw3t46V0nNogM8_eEuhqPhavzM1PyndwbT1j43BDXTXwMSxaqiup5-3IpwzpX0dqzWYcR-zylsLgFKEJstfU.
Hence, the correct answer is option 4) 34
 
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