Question
In College A, the ratio of boys to girls is 3:2, while
in College B, the ratio is 7:3. If 20% of the boys from College A are undergraduates and 60% of the girls from College B are postgraduates, the postgraduate boys from College A and postgraduate girls from College B combined amount to 3300 students. Assuming the total number of students is equal in both colleges, determine the total male Students in College A and the female Students in College B.Solution
Given: Number of boys in College A = 3x Number of girls in College A = 2x Number of boys in College B = 7y Number of girls in College B = 3y Total students are equal: 3x+2x=7y+3y So, 5x=10y or x=2y. Postgraduate Students: Number of postgraduate boys in College A = 80% of 3x = 0.8×3x=2.4x Number of postgraduate girls in College B = 60% of 3y = 0.6×3y=1.8y Since x=2y: 2.4(2y)+1.8y=3300 4.8y+1.8y=3300 6.6y=3300 y=500 Therefore, x=2y=2×500=1000. Hence, Total male students in College A:3x=3×1000=3000 Total female students in College B:3y=3×500=1500
3, 6, 18, 90, 630, 5670
332, 404, 350, 390, 360, 380
42, 61, 78, 93, 102, 109
66, 220, 384, 543, 702, 861
45, 166, 310, 480, 675, 900
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32, 61, 92, 129, 170, 211
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310, 259, 208, 167, 128, 115 Find the wrong number in given number series.
2669, 2838, 2993, 3185, 3397, 3629
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10, 35, 260, 885, 2110, 4135 Find the wrong number in given number series.
1177, 1161, 1125, 1061, 961, 837.