{"id":660816,"date":"2023-06-28T02:49:57","date_gmt":"2023-06-27T21:19:57","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/mr-hansraj-wants-to-find-the-least-number-of-boxes-to-be-added-to-get-a-perfect-square-he-already-has-7924-boxes-with-him-how-many-more-boxes-are-required\/"},"modified":"2025-06-26T14:46:06","modified_gmt":"2025-06-26T09:16:06","slug":"mr-hansraj-wants-to-find-the-least-number-of-boxes-to-be-added-to-get-a-perfect-square-he-already-has-7924-boxes-with-him-how-many-more-boxes-are-required","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/mathematics\/mr-hansraj-wants-to-find-the-least-number-of-boxes-to-be-ad\/","title":{"rendered":"Mr. Hansraj wants to find the least number of boxes to be added to get a perfect square. He already has 7924 boxes with him. How many more boxes are required?"},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Mr. Hansraj wants to find the least number of boxes to be added to get a perfect square. He already has 7924 boxes with him. How many more boxes are required?","custom_permalink":"question\/mathematics\/mr-hansraj-wants-to-find-the-least-number-of-boxes-to-be-ad\/"},"categories":[],"acf":{"question":"<p style=\"margin-top:0pt; margin-bottom:0pt; line-height:normal\"><span>Mr. Hansraj wants to find the least number of boxes to be added to get a perfect square. He already has <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>7924<\/mn><\/math><span> boxes with him. How many more boxes are required? <\/span><\/p><br><pstyle=\"margin-top:0pt;margin-bottom:0pt;line-height:normal\"><spanstyle=\"-aw-import:ignore\"><p><\/p><pstyle=\"margin-top:0pt;margin-bottom:0pt;line-height:normal\"><spanstyle=\"-aw-import:ignore\"><p><\/p><\/spanstyle=\"-aw-import:ignore\"><\/pstyle=\"margin-top:0pt;margin-bottom:0pt;line-height:normal\"><\/spanstyle=\"-aw-import:ignore\"><\/pstyle=\"margin-top:0pt;margin-bottom:0pt;line-height:normal\">","options":[{"option":"<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>819<\/mn><\/math>","correct":false},{"option":"<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>412<\/mn><\/math>","correct":false},{"option":"<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>419<\/mn><\/math>","correct":false},{"option":"<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>176<\/mn><\/math><span>&nbsp;<\/span>","correct":true}],"solution":"<span>Given number of boxes is 7924.<\/span><br><span>Calculating square root by division method.<\/span><br><img 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\" width=\"153\" height=\"206\" alt=\"\" class=\"image_resized\" style=\"width:153px;height:206px\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mo>\u2234<\/mo><msqrt><mrow><mn>7924<\/mn><\/mrow><\/msqrt><\/math><span>= <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>89<\/mn><mo>.<\/mo><mn>01<\/mn><\/math><br><span>Hence, the perfect square number smaller than <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>7924<\/mn><\/math><span> is <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><msup><mrow><mn>89<\/mn><\/mrow><mrow><mn>2<\/mn><\/mrow><\/msup><mo>=<\/mo><mn>7921<\/mn><\/math><span>.<\/span><br><span>The next perfect square number is <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><msup><mrow><mn>90<\/mn><\/mrow><mrow><mn>2<\/mn><\/mrow><\/msup><mo>=<\/mo><mn>8100<\/mn><\/math><span>.<\/span><br><span>So, <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>8100<\/mn><mo>-<\/mo><mn>7924<\/mn><mo>=<\/mo><mn>176<\/mn><\/math><span>.<\/span><br><span>Therefore, Mr. Hansraj needs <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>176<\/mn><\/math><span> more boxes in order to get a perfect square number.<\/span><br><span>Therefore, option (4) is correct.<\/span><br><span>&nbsp;<\/span>","subject":"Mathematics"},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Mr. Hansraj wants to find the least number of boxes to be added to get a perfect square. 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