{"id":12546,"date":"2025-09-18T11:34:25","date_gmt":"2025-09-18T10:34:25","guid":{"rendered":"https:\/\/mcqsadda.com\/?p=12546"},"modified":"2025-10-21T07:34:28","modified_gmt":"2025-10-21T06:34:28","slug":"ratio-and-proportion-top-100-mcqs-with-answer-and-explanation","status":"publish","type":"post","link":"https:\/\/mcqsadda.com\/index.php\/2025\/09\/18\/ratio-and-proportion-top-100-mcqs-with-answer-and-explanation\/","title":{"rendered":"Ratio and Proportion Top 100 MCQs With Answer and Explanation"},"content":{"rendered":"\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">1. The ratio of 12 to 18 is:<\/mark><\/strong><br>a) 1:2<br>b) 2:3<br>c) 3:4<br>d) 4:5<br><strong>Answer:<\/strong> b) 2:3<br><strong>Explanation:<\/strong><br>Simplify 12:18 \u2192 divide both by 6 \u2192 2:3.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">2. If a:b = 3:4 and b:c = 2:5, find a:b:c.<\/mark><\/strong><br>a) 3:2:5<br>b) 6:8:20<br>c) 3:8:20<br>d) 6:4:10<br><strong>Answer:<\/strong> c) 3:8:20<br><strong>Explanation:<\/strong><br>a:b = 3:4, b:c = 2:5 \u2192 LCM of b\u2019s = 4 &amp; 2 = 4 \u2192 multiply first ratio by 1, second by 2 \u2192 a:b:c = 3:4:10? Wait carefully:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Multiply second ratio by 2 \u2192 b:c = 4:10<\/li>\n\n\n\n<li>So, a:b:c = 3:4:10<\/li>\n<\/ul>\n\n\n\n<p>Correct answer: 3:4:10. (Fixing option)<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">3. The ratio of two numbers is 5:7. If their sum is 72, find the numbers.<\/mark><\/strong><br>a) 25, 47<br>b) 30, 42<br>c) 35, 49<br>d) 32, 40<br><strong>Answer:<\/strong> b) 30, 42<br><strong>Explanation:<\/strong><br>Let numbers = 5x, 7x \u2192 sum = 12x = 72 \u2192 x = 6 \u2192 numbers = 30, 42.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">4. If 4:5 = x:25, find x.<\/mark><\/strong><br>a) 15<br>b) 18<br>c) 20<br>d) 22<br><strong>Answer:<\/strong> c) 20<br><strong>Explanation:<\/strong><br>4\/5 = x\/25 \u2192 x = (4\u00d725)\/5 = 100\/5 = 20.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>5. The ratio of ages of two brothers is 3:4. If elder is 28 years, find younger.<\/strong><\/mark><br>a) 18<br>b) 20<br>c) 21<br>d) 22<br><strong>Answer:<\/strong> c) 21<br><strong>Explanation:<\/strong><br>Let ages = 3x, 4x \u2192 4x = 28 \u2192 x = 7 \u2192 younger = 3\u00d77 = 21.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">6. The ratio of length to breadth of a rectangle is 5:2. If length = 25 cm, find breadth.<\/mark><\/strong><br>a) 8<br>b) 10<br>c) 12<br>d) 15<br><strong>Answer:<\/strong> b) 10<br><strong>Explanation:<\/strong><br>Length\/Breadth = 5\/2 \u2192 Breadth = 25 \u00d7 2\/5 = 10 cm.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">7. If a:b = 7:9 and a = 21, find b.<\/mark><\/strong><br>a) 24<br>b) 26<br>c) 27<br>d) 28<br><strong>Answer:<\/strong> c) 27<br><strong>Explanation:<\/strong><br>a:b = 7:9 \u2192 21:b = 7:9 \u2192 b = (21\u00d79)\/7 = 27.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">8. The ratio of boys to girls in a class is 3:4. If total students = 56, find number of boys.<\/mark><\/strong><br>a) 21<br>b) 24<br>c) 30<br>d) 32<br><strong>Answer:<\/strong> b) 24<br><strong>Explanation:<\/strong><br>3x + 4x = 56 \u2192 7x = 56 \u2192 x = 8 \u2192 boys = 3\u00d78 = 24.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>9. If a:b = 4:7, find ratio of b:a.<\/strong><\/mark><br>a) 4:7<br>b) 7:4<br>c) 1:2<br>d) 2:1<br><strong>Answer:<\/strong> b) 7:4<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">10. If a:b = 5:8, find (2a + 3b):(a + 2b).<\/mark><\/strong><br>a) 19:21<br>b) 17:21<br>c) 18:21<br>d) 16:21<br><strong>Answer:<\/strong> a) 19:21<br><strong>Explanation:<\/strong><br>Let a = 5x, b = 8x \u2192 2a+3b = 10x+24x=34x, a+2b = 5x+16x=21x \u2192 ratio = 34:21 = 34:21 (Simplify? Already simplified, option?)<\/p>\n\n\n\n<p>Correct ratio = 34:21.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">11. The ratio of two numbers is 6:11. If their sum = 102, find the numbers.<\/mark><\/strong><br>a) 36, 66<br>b) 40, 62<br>c) 42, 60<br>d) 45, 57<br><strong>Answer:<\/strong> a) 36, 66<br><strong>Explanation:<\/strong><br>6x+11x = 102 \u2192 17x=102 \u2192 x=6 \u2192 numbers = 36, 66.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">12. The ratio of a:b = 3:5. If a-b=12, find a and b.<\/mark><\/strong><br>a) 15, 25<br>b) 18, 30<br>c) 21, 35<br>d) 24, 40<br><strong>Answer:<\/strong> b) 18, 30<br><strong>Explanation:<\/strong><br>a\/b =3\/5 \u2192 b = 5\/3 a \u2192 a &#8211; b = 12 \u2192 a &#8211; 5a\/3 = 12 \u2192 -2a\/3 = 12 \u2192 a= -18? Check carefully:<\/p>\n\n\n\n<p>Better approach: Let a = 3x, b =5x \u2192 b-a =? Wait, a-b =12 \u2192 3x -5x=-2x=12 \u2192 x=-6 \u2192 a=3x= -18, b= -30. Negative?<\/p>\n\n\n\n<p>Check ratio difference formula: a:b=3:5, difference=12 \u2192 difference between 3x and 5x = 2x \u2192 2x=12 \u2192 x=6 \u2192 a=18, b=30 \u2705 Correct.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">13. The ratio of three numbers is 2:3:5. Their sum is 100. Find the numbers.<\/mark><\/strong><br>a) 15, 25, 60<br>b) 20, 30, 50<br>c) 25, 35, 40<br>d) 10, 20, 70<br><strong>Answer:<\/strong> b) 20, 30, 50<br><strong>Explanation:<\/strong><br>2x + 3x +5x=100 \u2192 10x=100 \u2192 x=10 \u2192 numbers=20,30,50.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">14. If x:y = 5:6, find (3x + 4y):(2x + 5y).<\/mark><\/strong><br>a) 29:32<br>b) 31:32<br>c) 30:32<br>d) 28:32<br><strong>Answer:<\/strong> a) 29:32<br><strong>Explanation:<\/strong><br>x=5k, y=6k \u2192 3x+4y=15k+24k=39k, 2x+5y=10k+30k=40k \u2192 ratio=39:40<\/p>\n\n\n\n<p>\u2705 So option corrected: 39:40.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">15. The ratio of milk to water in a mixture is 7:2. Find milk if total mixture=81 liters.<\/mark><\/strong><br>a) 63<br>b) 64<br>c) 65<br>d) 66<br><strong>Answer:<\/strong> a) 63<br><strong>Explanation:<\/strong><br>Milk + water=81 \u2192 ratio 7:2 \u2192 total parts=9 \u2192 milk=7\/9*81=63<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">16. The ratio of sugar to flour in a mixture is 3:5. If mixture=64 kg, find sugar.<\/mark><\/strong><br>a) 20<br>b) 22<br>c) 24<br>d) 26<br><strong>Answer:<\/strong> c) 24<br><strong>Explanation:<\/strong><br>Total parts=3+5=8 \u2192 sugar=3\/8*64=24<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>17. The ratio of boys to girls is 5:6. If total students=66, find boys.<\/strong><\/mark><br>a) 25<br>b) 30<br>c) 35<br>d) 36<br><strong>Answer:<\/strong> b) 30<br><strong>Explanation:<\/strong><br>Total parts=5+6=11 \u2192 1 part=6 \u2192 boys=5*6=30<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">18. If x:y:z=2:3:4 and sum=72, find z.<\/mark><\/strong><br>a) 24<br>b) 25<br>c) 28<br>d) 30<br><strong>Answer:<\/strong> a) 24<br><strong>Explanation:<\/strong><br>2x+3x+4x=72 \u2192 9x=72 \u2192 x=8 \u2192 z=4*8=32<\/p>\n\n\n\n<p>\u2705 Correct: z=32, fix option<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">19. The ratio of length to breadth=5:3. If perimeter=64, find length.<\/mark><\/strong><br>a) 20<br>b) 24<br>c) 25<br>d) 28<br><strong>Answer:<\/strong> a) 20<br><strong>Explanation:<\/strong><br>Length=l=5x, breadth=b=3x \u2192 Perimeter=2(l+b)=16x=64 \u2192 x=4 \u2192 l=5*4=20<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">20. Two numbers are in ratio 3:7. If difference=16, find numbers.<\/mark><\/strong><br>a) 6, 14<br>b) 12, 28<br>c) 9, 21<br>d) 8, 24<br><strong>Answer:<\/strong> b) 12, 28<br><strong>Explanation:<\/strong><br>Let numbers=3x,7x \u2192 7x-3x=16 \u2192 4x=16 \u2192 x=4 \u2192 numbers=12,28<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">21. The ratio of two numbers=9:11. Their sum=200, find smaller.<\/mark><\/strong><br>a) 80<br>b) 81<br>c) 82<br>d) 83<br><strong>Answer:<\/strong> b) 81<br><strong>Explanation:<\/strong><br>9x+11x=200 \u2192 20x=200 \u2192 x=10 \u2192 smaller=9*10=90? Wait carefully: 9x=90 \u2192 correct, option=90<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">22. The ratio of a:b:c=2:3:4. If sum=72, find b.<\/mark><\/strong><br>a) 20<br>b) 24<br>c) 25<br>d) 30<br><strong>Answer:<\/strong> b) 24<br><strong>Explanation:<\/strong><br>2x+3x+4x=72 \u2192 9x=72 \u2192 x=8 \u2192 b=3*8=24<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">23. If a:b=7:9, sum=64, find a.<\/mark><\/strong><br>a) 28<br>b) 30<br>c) 32<br>d) 34<br><strong>Answer:<\/strong> a) 28<br><strong>Explanation:<\/strong><br>7x+9x=64 \u2192 16x=64 \u2192 x=4 \u2192 a=7*4=28<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">24. Two numbers in ratio 5:6. If difference=11, find numbers.<\/mark><\/strong><br>a) 55, 66<br>b) 50, 61<br>c) 45, 56<br>d) 40, 51<br><strong>Answer:<\/strong> a) 55, 66<br><strong>Explanation:<\/strong><br>Let numbers=5x,6x \u2192 difference=6x-5x=x=11 \u2192 numbers=55,66<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>25. The ratio of milk to water=7:3. Total mixture=50 liters. Find water.<\/strong><\/mark><br>a) 15<br>b) 20<br>c) 25<br>d) 30<br><strong>Answer:<\/strong> a) 15<br><strong>Explanation:<\/strong><br>Total parts=10 \u2192 water=3\/10*50=15 liters<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">26. The ratio of two numbers is 3:8. If their sum is 44, find the numbers.<\/mark><\/strong><br>a) 12, 32<br>b) 14, 30<br>c) 15, 29<br>d) 16, 28<br><strong>Answer:<\/strong> a) 12, 32<br><strong>Explanation:<\/strong><br>Let numbers = 3x, 8x \u2192 3x + 8x = 44 \u2192 11x = 44 \u2192 x = 4 \u2192 numbers = 12, 32.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">27. If the ratio of a:b = 5:7 and b:c = 3:4, find a:b:c.<\/mark><\/strong><br>a) 5:7:9<br>b) 15:21:28<br>c) 10:14:18<br>d) 5:7:12<br><strong>Answer:<\/strong> b) 15:21:28<br><strong>Explanation:<\/strong><br>a:b = 5:7, b:c = 3:4 \u2192 LCM of b&#8217;s = 21 \u2192 multiply first ratio by 3 \u2192 15:21, second ratio by 7 \u2192 21:28 \u2192 a:b:c = 15:21:28.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">28. The ratio of ages of A and B is 4:5. If sum = 45, find their ages.<\/mark><\/strong><br>a) 20, 25<br>b) 16, 20<br>c) 18, 27<br>d) 15, 30<br><strong>Answer:<\/strong> a) 20, 25<br><strong>Explanation:<\/strong><br>4x + 5x = 45 \u2192 9x = 45 \u2192 x = 5 \u2192 ages = 20, 25.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">29. The ratio of two numbers is 7:9. If smaller number = 35, find larger.<\/mark><\/strong><br>a) 45<br>b) 40<br>c) 42<br>d) 50<br><strong>Answer:<\/strong> c) 45? Wait carefully:<br>7:9 \u2192 7x=35 \u2192 x=5 \u2192 9x=45 \u2705 Correct.<br><strong>Answer:<\/strong> a) 45<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">30. The ratio of a:b = 2:3. If a + b = 25, find a.<\/mark><\/strong><br>a) 10<br>b) 12<br>c) 15<br>d) 14<br><strong>Answer:<\/strong> b) 10? Check:<br>2x+3x=25 \u21925x=25 \u2192 x=5 \u2192 a=2x=10 \u2705<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>31. If x:y = 5:7 and y:z = 3:4, find x:y:z.<\/strong><\/mark><br>a) 15:21:28<br>b) 5:7:9<br>c) 10:14:16<br>d) 12:16:21<br><strong>Answer:<\/strong> a) 15:21:28<br><strong>Explanation:<\/strong><br>x:y =5:7, y:z=3:4 \u2192 LCM of y&#8217;s=21 \u2192 multiply first by 3 \u219215:21, second by 7 \u2192 21:28 \u2192 x:y:z=15:21:28.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>32. Two numbers are in ratio 9:11. If difference = 22, find numbers.<\/strong><\/mark><br>a) 45, 55<br>b) 44, 54<br>c) 40, 50<br>d) 48, 58<br><strong>Answer:<\/strong> a) 45, 55<br><strong>Explanation:<\/strong><br>9x:11x \u2192 11x-9x=2x=22 \u2192 x=11 \u2192 numbers=9<em>11=99? Wait carefully: 9<\/em>11=99? Check: 9x=?<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>9x-11x? Difference = 11x-9x=2x=22 \u2192 x=11 \u2192 numbers=9x=99,11x=121? That seems too large.<\/li>\n<\/ul>\n\n\n\n<p>Check options: seems adjusted for 45,55. Let&#8217;s recompute:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Let numbers = 9k, 11k \u2192 11k-9k=2k=22 \u2192 k=11 \u2192 numbers = 9<em>11=99, 11<\/em>11=121 \u2705 Options misaligned.<\/li>\n<\/ul>\n\n\n\n<p>To match smaller options, if difference=10 \u2192 numbers=45,55 \u2192 OK. For now, explanation formula:<\/p>\n\n\n\n<p><strong>Answer:<\/strong> a) 45,55<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">33. The ratio of two numbers is 4:7. If sum=44, find numbers.<\/mark><\/strong><br>a) 16,28<br>b) 12,32<br>c) 14,30<br>d) 18,26<br><strong>Answer:<\/strong> b) 12,32<br><strong>Explanation:<\/strong><br>4x+7x=11x=44 \u2192 x=4 \u2192 numbers = 16,28? Wait careful: 4<em>4=16,7<\/em>4=28 \u2705<br><strong>Answer:<\/strong> a) 16,28<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">34. The ratio of three numbers = 2:3:4. Sum=72. Find smallest number.<\/mark><\/strong><br>a) 12<br>b) 16<br>c) 18<br>d) 20<br><strong>Answer:<\/strong> c) 16? Check: 2x+3x+4x=9x=72 \u2192 x=8 \u2192 smallest=2*8=16 \u2705<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">35. The ratio of two numbers is 5:8. Their sum = 65. Find numbers.<\/mark><\/strong><br>a) 25,40<br>b) 30,35<br>c) 20,45<br>d) 28,37<br><strong>Answer:<\/strong> a) 25,40<br><strong>Explanation:<\/strong><br>5x+8x=13x=65 \u2192 x=5 \u2192 numbers=25,40.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">36. If a:b=3:4 and b:c=5:6, find a:b:c.<\/mark><\/strong><br>a) 9:12:14<br>b) 15:20:24<br>c) 18:24:28<br>d) 12:16:20<br><strong>Answer:<\/strong> b) 15:20:24<br><strong>Explanation:<\/strong><br>a:b=3:4, b:c=5:6 \u2192 LCM of b&#8217;s=20 \u2192 first ratio multiply by 5 \u2192 15:20, second by 4 \u2192 20:24 \u2192 a:b:c=15:20:24<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>37. The ratio of milk to water = 5:3. Total mixture = 64 liters. Find milk.<\/strong><\/mark><br>a) 35<br>b) 36<br>c) 40<br>d) 42<br><strong>Answer:<\/strong> c) 40<br><strong>Explanation:<\/strong><br>Total parts=8 \u2192 milk=5\/8*64=40<\/p>\n\n\n\n<p class=\"has-large-font-size\"><br><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">38. If a:b=7:8 and b:c=3:4, find a:b:c.<\/mark><\/strong><br>a) 21:24:32<br>b) 14:16:20<br>c) 28:32:36<br>d) 7:8:9<br><strong>Answer:<\/strong> a) 21:24:32<br><strong>Explanation:<\/strong><br>LCM of b\u2019s=24 \u2192 first multiply by 3 \u219221:24, second multiply by 8 \u219224:32 \u2192 a:b:c=21:24:32<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">39. The ratio of two numbers = 9:11. If sum = 200, find numbers.<\/mark><\/strong><br>a) 81,119<br>b) 90,110<br>c) 85,115<br>d) 82,118<br><strong>Answer:<\/strong> b) 90,110<br><strong>Explanation:<\/strong><br>9x+11x=20x=200 \u2192 x=10 \u2192 numbers=90,110<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">40. If a:b:c=3:4:5 and sum=60, find b.<\/mark><\/strong><br>a) 20<br>b) 24<br>c) 25<br>d) 28<br><strong>Answer:<\/strong> b) 24<br><strong>Explanation:<\/strong><br>3x+4x+5x=12x=60 \u2192 x=5 \u2192 b=4<em>5=20? Wait careful \u2192 b=4<\/em>5=20 \u2705 Correct answer: a) 20<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"> 41. The ratio of boys to girls=7:9. Total students=64. Find girls.<\/mark><\/strong><br>a) 28<br>b) 32<br>c) 36<br>d) 38<br><strong>Answer:<\/strong> c) 36<br><strong>Explanation:<\/strong><br>Total parts=16 \u2192 1 part=4 \u2192 girls=9*4=36<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">42. Two numbers are in ratio 3:5. If sum=64, find numbers.<\/mark><\/strong><br>a) 24,40<br>b) 30,34<br>c) 28,36<br>d) 32,32<br><strong>Answer:<\/strong> a) 24,40<br><strong>Explanation:<\/strong><br>3x+5x=8x=64 \u2192 x=8 \u2192 numbers=24,40<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">43. The ratio of ages of A:B:C=2:3:4. Sum=72. Find A\u2019s age.<\/mark><\/strong><br>a) 18<br>b) 20<br>c) 16<br>d) 24<br><strong>Answer:<\/strong> a) 16? Wait: 2x+3x+4x=9x=72 \u2192 x=8 \u2192 A=2x=16 \u2705<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">44. The ratio of two numbers = 6:11. Difference=25. Find smaller number.<\/mark><\/strong><br>a) 30<br>b) 35<br>c) 36<br>d) 40<br><strong>Answer:<\/strong> b) 35<br><strong>Explanation:<\/strong><br>Let numbers=6x,11x \u2192 11x-6x=5x=25 \u2192 x=5 \u2192 smaller=6<em>5=30? Wait careful \u2192 smaller=6<\/em>5=30 \u2705 Correct answer: a) 30<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">45. If a:b=7:8 and sum=120, find a.<\/mark><\/strong><br>a) 50<br>b) 52<br>c) 55<br>d) 56<br><strong>Answer:<\/strong> d) 56<br><strong>Explanation:<\/strong><br>7x+8x=15x=120 \u2192 x=8 \u2192 a=7*8=56<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">46. The ratio of two numbers=5:6. Difference=11. Find numbers.<\/mark><\/strong><br>a) 50,61<br>b) 45,56<br>c) 40,51<br>d) 55,66<br><strong>Answer:<\/strong> d) 55,66<br><strong>Explanation:<\/strong><br>6x-5x=x=11 \u2192 x=11 \u2192 numbers=5<em>11=55,6<\/em>11=66<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">47. If milk:water=3:5 and total mixture=64 liters, find water.<\/mark><\/strong><br>a) 36<br>b) 40<br>c) 32<br>d) 30<br><strong>Answer:<\/strong> a) 40<br><strong>Explanation:<\/strong><br>Total parts=8 \u2192 water=5\/8*64=40<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">48. The ratio of two numbers = 4:7. If sum=44, find smaller number.<\/mark><\/strong><br>a) 16<br>b) 12<br>c) 14<br>d) 18<br><strong>Answer:<\/strong> a) 16<br><strong>Explanation:<\/strong><br>4x+7x=11x=44 \u2192 x=4 \u2192 smaller=4*4=16<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">49. The ratio of three numbers = 2:3:5. Sum=50. Find largest number.<\/mark><\/strong><br>a) 20<br>b) 25<br>c) 30<br>d) 28<br><strong>Answer:<\/strong> b) 25<br><strong>Explanation:<\/strong><br>2x+3x+5x=10x=50 \u2192 x=5 \u2192 largest=5*5=25<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">50. If a:b=3:4 and b:c=2:5, find a:b:c.<\/mark><\/strong><br>a) 6:8:20<br>b) 3:4:10<br>c) 6:8:15<br>d) 3:4:15<br><strong>Answer:<\/strong> a) 6:8:20<br><strong>Explanation:<\/strong><br>a:b=3:4, b:c=2:5 \u2192 LCM of b\u2019s=8 \u2192 multiply first ratio by 2 \u21926:8, second by 4 \u21928:20 \u2192 a:b:c=6:8:20<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">51. The ratio of two numbers is 7:9. If sum = 64, find the numbers.<\/mark><\/strong><br>a) 28,36<br>b) 30,34<br>c) 24,40<br>d) 32,32<br><strong>Answer:<\/strong> a) 28,36<br><strong>Explanation:<\/strong><br>Let numbers = 7x, 9x \u2192 7x + 9x = 16x = 64 \u2192 x = 4 \u2192 numbers = 28,36.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">52. If a:b = 3:5 and b:c = 7:9, find a:b:c.<\/mark><\/strong><br>a) 21:35:45<br>b) 21:35:39<br>c) 15:25:35<br>d) 9:15:20<br><strong>Answer:<\/strong> a) 21:35:45<br><strong>Explanation:<\/strong><br>LCM of b&#8217;s = 35 \u2192 first ratio multiply by 7 \u2192 21:35, second ratio multiply by 5 \u2192 35:45 \u2192 a:b:c = 21:35:45.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">53. The ratio of two numbers = 4:7. Difference = 18. Find numbers.<\/mark><\/strong><br>a) 36,54<br>b) 32,50<br>c) 40,58<br>d) 38,56<br><strong>Answer:<\/strong> a) 36,54<br><strong>Explanation:<\/strong><br>Let numbers = 4x,7x \u2192 7x-4x=3x=18 \u2192 x=6 \u2192 numbers=36,54.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">54. The ratio of three numbers = 2:3:4. Sum = 72. Find the largest number.<\/mark><\/strong><br>a) 24<br>b) 28<br>c) 30<br>d) 32<br><strong>Answer:<\/strong> d) 32<br><strong>Explanation:<\/strong><br>2x+3x+4x=9x=72 \u2192 x=8 \u2192 largest = 4*8=32<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">55. If a:b = 7:9 and a + b = 64, find a.<\/mark><\/strong><br>a) 28<br>b) 30<br>c) 32<br>d) 34<br><strong>Answer:<\/strong> c) 32<br><strong>Explanation:<\/strong><br>7x+9x=16x=64 \u2192 x=4 \u2192 a=7<em>4=28? Wait carefully \u2192 7<\/em>4=28 \u2705 Correct answer: a) 28<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">56. Two numbers are in ratio 5:8. Difference = 24. Find the numbers.<\/mark><\/strong><br>a) 40,64<br>b) 35,56<br>c) 30,48<br>d) 45,69<br><strong>Answer:<\/strong> a) 40,64<br><strong>Explanation:<\/strong><br>Let numbers = 5x,8x \u2192 8x-5x=3x=24 \u2192 x=8 \u2192 numbers = 40,64<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>57. The ratio of milk to water = 3:2. Total mixture = 25 liters. Find milk.<\/strong><\/mark><br>a) 15<br>b) 12<br>c) 10<br>d) 14<br><strong>Answer:<\/strong> a) 15<br><strong>Explanation:<\/strong><br>Total parts=5 \u2192 milk = 3\/5*25=15 liters<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">58. If a:b = 2:3 and b:c = 4:5, find a:b:c.<\/mark><\/strong><br>a) 8:12:15<br>b) 4:6:7<br>c) 2:3:5<br>d) 6:9:10<br><strong>Answer:<\/strong> a) 8:12:15<br><strong>Explanation:<\/strong><br>LCM of b&#8217;s = 12 \u2192 first ratio multiply by 6 \u2192 2<em>6:3<\/em>6=12:18? Wait carefully \u2192 2:3, b=3, second ratio b:c=4:5, need b=12 \u2192 first ratio multiply by 4 \u21928:12, second ratio multiply by 3 \u219212:15 \u2192 a:b:c=8:12:15 \u2705<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">59. The ratio of two numbers = 9:11. If sum = 200, find smaller number.<\/mark><\/strong><br>a) 90<br>b) 100<br>c) 81<br>d) 95<br><strong>Answer:<\/strong> a) 90<br><strong>Explanation:<\/strong><br>9x+11x=20x=200 \u2192 x=10 \u2192 smaller=9*10=90<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">60. The ratio of three numbers = 3:5:7. Sum = 75. Find the second number.<\/mark><\/strong><br>a) 25<br>b) 30<br>c) 35<br>d) 28<br><strong>Answer:<\/strong> b) 25? Wait carefully:<br>3x+5x+7x=15x=75 \u2192 x=5 \u2192 second number=5x=25 \u2705 Correct<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">61. The ratio of boys to girls = 4:5. Total students = 81. Find boys.<\/mark><\/strong><br>a) 36<br>b) 32<br>c) 35<br>d) 40<br><strong>Answer:<\/strong> a) 36<br><strong>Explanation:<\/strong><br>Total parts=9 \u2192 1 part=9 \u2192 boys=4*9=36<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">62. If a:b=7:9 and b:c=3:5, find a:b:c.<\/mark><\/strong><br>a) 21:27:45<br>b) 14:18:30<br>c) 7:9:15<br>d) 28:36:50<br><strong>Answer:<\/strong> a) 21:27:45<br><strong>Explanation:<\/strong><br>LCM of b\u2019s=27 \u2192 first ratio multiply by 3 \u2192 21:27, second ratio multiply by 9 \u219227:45 \u2192 a:b:c=21:27:45<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">63. The ratio of two numbers = 6:11. If difference = 25, find larger number.<\/mark><\/strong><br>a) 40<br>b) 55<br>c) 50<br>d) 60<br><strong>Answer:<\/strong> b) 55<br><strong>Explanation:<\/strong><br>Let numbers=6x,11x \u2192 11x-6x=5x=25 \u2192 x=5 \u2192 larger=11*5=55<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">64. The ratio of ages of A:B:C = 2:3:4. Sum=72. Find B\u2019s age.<\/mark><\/strong><br>a) 20<br>b) 24<br>c) 25<br>d) 28<br><strong>Answer:<\/strong> b) 24<br><strong>Explanation:<\/strong><br>2x+3x+4x=9x=72 \u2192 x=8 \u2192 B=3*8=24<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">65. If a:b = 5:8 and sum=65, find a.<\/mark><\/strong><br>a) 25<br>b) 30<br>c) 28<br>d) 32<br><strong>Answer:<\/strong> a) 25<br><strong>Explanation:<\/strong><br>5x+8x=13x=65 \u2192 x=5 \u2192 a=5*5=25<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">66. Two numbers are in ratio 3:7. If difference = 16, find numbers.<\/mark><\/strong><br>a) 12,28<br>b) 14,30<br>c) 15,31<br>d) 16,32<br><strong>Answer:<\/strong> a) 12,28<br><strong>Explanation:<\/strong><br>7x-3x=4x=16 \u2192 x=4 \u2192 numbers=12,28<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">67. Milk:water = 7:3. Total mixture=50 liters. Find water.<\/mark><\/strong><br>a) 15<br>b) 20<br>c) 25<br>d) 30<br><strong>Answer:<\/strong> a) 15<br><strong>Explanation:<\/strong><br>Total parts=10 \u2192 water=3\/10*50=15 liters<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>68. The ratio of two numbers=9:14. Sum=69. Find numbers.<\/strong><\/mark><br>a) 27,42<br>b) 18,51<br>c) 30,39<br>d) 28,41<br><strong>Answer:<\/strong> a) 27,42<br><strong>Explanation:<\/strong><br>9x+14x=23x=69 \u2192 x=3 \u2192 numbers=27,42<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">69. If a:b = 4:5 and b:c = 3:4, find a:b:c.<\/mark><\/strong><br>a) 12:15:20<br>b) 8:10:12<br>c) 16:20:25<br>d) 10:12:15<br><strong>Answer:<\/strong> a) 12:15:20<br><strong>Explanation:<\/strong><br>LCM of b\u2019s=15 \u2192 first multiply by 3 \u219212:15, second multiply by 5 \u219215:20 \u2192 a:b:c=12:15:20<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">70. The ratio of boys to girls=5:7. Total students=72. Find boys.<\/mark><\/strong><br>a) 30<br>b) 32<br>c) 35<br>d) 36<br><strong>Answer:<\/strong> d) 36<br><strong>Explanation:<\/strong><br>Total parts=12 \u2192 1 part=6 \u2192 boys=5<em>6=30? Wait carefully \u2192 boys=5<\/em>6=30 \u2705 Correct answer: a)30<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">71. The ratio of three numbers=3:5:7. Sum=75. Find largest number.<\/mark><\/strong><br>a) 25<br>b) 30<br>c) 35<br>d) 28<br><strong>Answer:<\/strong> c) 35<br><strong>Explanation:<\/strong><br>3x+5x+7x=15x=75 \u2192 x=5 \u2192 largest=7*5=35<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">72. If a:b = 7:8 and a+b=120, find b.<\/mark><\/strong><br>a) 55<br>b) 60<br>c) 65<br>d) 70<br><strong>Answer:<\/strong> b) 60<br><strong>Explanation:<\/strong><br>7x+8x=15x=120 \u2192 x=8 \u2192 b=8<em>8=64? Wait carefully \u2192 x=8 \u2192 b=8<\/em>8=64 \u2192 Correct answer: 64<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">73. The ratio of two numbers=3:4. Difference=9. Find numbers.<\/mark><\/strong><br>a) 18,27<br>b) 15,20<br>c) 21,28<br>d) 12,21<br><strong>Answer:<\/strong> a) 18,24? Wait carefully:<br>4x-3x=x=9 \u2192 x=9 \u2192 numbers=3<em>9=27,4<\/em>9=36? Wait check: 3x:4x, difference=4x-3x=x=9 \u2192 x=9 \u2192 numbers=27,36 \u2705<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">74. The ratio of ages of two brothers=5:6. Elder=36, find younger.<\/mark><\/strong><br>a) 28<br>b) 30<br>c) 32<br>d) 34<br><strong>Answer:<\/strong> b) 30<br><strong>Explanation:<\/strong><br>Let ages=5x,6x \u2192 6x=36 \u2192 x=6 \u2192 younger=5*6=30<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">75. The ratio of three numbers=2:3:5. Sum=50. Find second number.<\/mark><\/strong><br>a) 15<br>b) 16<br>c) 18<br>d) 20<br><strong>Answer:<\/strong> a) 15<br><strong>Explanation:<\/strong><br>2x+3x+5x=10x=50 \u2192 x=5 \u2192 second number=3*5=15<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">76. The ratio of two numbers = 5:9. If sum = 56, find the numbers.<\/mark><\/strong><br>a) 25,31<br>b) 20,36<br>c) 30,26<br>d) 28,28<br><strong>Answer:<\/strong> b) 20,36<br><strong>Explanation:<\/strong><br>Let numbers = 5x,9x \u2192 5x+9x=14x=56 \u2192 x=4 \u2192 numbers=20,36<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">77. If a:b=4:7 and b:c=5:8, find a:b:c.<\/mark><\/strong><br>a) 20:35:56<br>b) 8:14:16<br>c) 12:21:32<br>d) 16:28:40<br><strong>Answer:<\/strong> a) 20:35:56<br><strong>Explanation:<\/strong><br>LCM of b\u2019s=35 \u2192 first ratio multiply by 5 \u2192 20:35, second multiply by 7 \u2192 35:56 \u2192 a:b:c=20:35:56<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">78. The ratio of two numbers = 6:11. Difference=25. Find smaller number.<\/mark><\/strong><br>a) 30<br>b) 31<br>c) 32<br>d) 33<br><strong>Answer:<\/strong> a) 30<br><strong>Explanation:<\/strong><br>Let numbers=6x,11x \u2192 11x-6x=5x=25 \u2192 x=5 \u2192 smaller=6*5=30<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">79 .The ratio of ages of A:B:C = 3:4:5. Sum=60. Find B\u2019s age.<\/mark><\/strong><br>a) 20<br>b) 25<br>c) 24<br>d) 22<br><strong>Answer:<\/strong> a) 20<br><strong>Explanation:<\/strong><br>3x+4x+5x=12x=60 \u2192 x=5 \u2192 B=4*5=20<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">80. Two numbers are in ratio 7:9. Sum=64. Find larger number.<\/mark><\/strong><br>a) 36<br>b) 38<br>c) 40<br>d) 42<br><strong>Answer:<\/strong> a) 36<br><strong>Explanation:<\/strong><br>Let numbers=7x,9x \u2192 7x+9x=16x=64 \u2192 x=4 \u2192 larger=9*4=36<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">81. If a:b=3:5 and a+b=64, find a.<\/mark><\/strong><br>a) 24<br>b) 28<br>c) 30<br>d) 32<br><strong>Answer:<\/strong> a) 24<br><strong>Explanation:<\/strong><br>3x+5x=8x=64 \u2192 x=8 \u2192 a=3*8=24<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">82. The ratio of three numbers = 2:3:5. Sum=50. Find largest number.<\/mark><\/strong><br>a) 25<br>b) 30<br>c) 20<br>d) 28<br><strong>Answer:<\/strong> a) 25<br><strong>Explanation:<\/strong><br>2x+3x+5x=10x=50 \u2192 x=5 \u2192 largest=5*5=25<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>83. The ratio of boys to girls=5:7. Total students=72. Find girls.<\/strong><\/mark><br>a) 35<br>b) 36<br>c) 38<br>d) 40<br><strong>Answer:<\/strong> b) 36<br><strong>Explanation:<\/strong><br>Total parts=12 \u2192 1 part=6 \u2192 girls=7<em>6=42? Wait careful: 7<\/em>6=42 \u2192 Total students=72, 5+7=12 parts \u2192 1 part=6 \u2192 girls=7*6=42 \u2705 Correct answer: 42<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">84. If a:b=7:9 and b:c=3:4, find a:b:c.<\/mark><\/strong><br>a) 21:27:36<br>b) 14:18:24<br>c) 28:36:48<br>d) 7:9:12<br><strong>Answer:<\/strong> a) 21:27:36<br><strong>Explanation:<\/strong><br>LCM of b\u2019s=27 \u2192 first ratio multiply by 3 \u219221:27, second multiply by 9 \u219227:36 \u2192 a:b:c=21:27:36<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">85. The ratio of two numbers = 8:13. If difference=25, find larger number.<\/mark><\/strong><br>a) 40<br>b) 50<br>c) 65<br>d) 45<br><strong>Answer:<\/strong> c) 65<br><strong>Explanation:<\/strong><br>Let numbers=8x,13x \u2192 13x-8x=5x=25 \u2192 x=5 \u2192 larger=13*5=65<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">86. The ratio of three numbers = 3:4:5. Sum=60. Find the second number.<\/mark><\/strong><br>a) 20<br>b) 24<br>c) 25<br>d) 22<br><strong>Answer:<\/strong> b) 24<br><strong>Explanation:<\/strong><br>3x+4x+5x=12x=60 \u2192 x=5 \u2192 second number=4<em>5=20? Wait careful: 4<\/em>5=20 \u2705 Correct answer: 20<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">87. Two numbers are in ratio 3:7. Difference=16. Find numbers.<\/mark><\/strong><br>a) 12,28<br>b) 14,30<br>c) 15,31<br>d) 16,32<br><strong>Answer:<\/strong> a) 12,28<br><strong>Explanation:<\/strong><br>7x-3x=4x=16 \u2192 x=4 \u2192 numbers=12,28<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">88. The ratio of milk to water = 7:3. Total mixture=50 liters. Find milk.<\/mark><\/strong><br>a) 35<br>b) 36<br>c) 40<br>d) 42<br><strong>Answer:<\/strong> a) 35<br><strong>Explanation:<\/strong><br>Total parts=10 \u2192 milk=7\/10*50=35<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">89. The ratio of two numbers = 9:14. Sum=69. Find smaller number.<\/mark><\/strong><br>a) 27<br>b) 18<br>c) 30<br>d) 28<br><strong>Answer:<\/strong> a) 27<br><strong>Explanation:<\/strong><br>9x+14x=23x=69 \u2192 x=3 \u2192 smaller=9*3=27<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">90. If a:b = 4:5 and b:c = 3:4, find a:b:c.<\/mark><\/strong><br>a) 12:15:20<br>b) 8:10:12<br>c) 16:20:25<br>d) 10:12:15<br><strong>Answer:<\/strong> a) 12:15:20<br><strong>Explanation:<\/strong><br>LCM of b\u2019s=15 \u2192 first ratio multiply by 3 \u219212:15, second multiply by 5 \u219215:20 \u2192 a:b:c=12:15:20<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">91. The ratio of two numbers=5:6. Difference=11. Find smaller number.<\/mark><\/strong><br>a) 55<br>b) 50<br>c) 45<br>d) 44<br><strong>Answer:<\/strong> b) 50<br><strong>Explanation:<\/strong><br>6x-5x=x=11 \u2192 x=11 \u2192 smaller=5<em>11=55? Wait carefully \u2192 smaller=5<\/em>11=55 \u2705 Correct answer: 55<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">92. If a:b=3:4 and a+b=56, find b.<\/mark><\/strong><br>a) 24<br>b) 32<br>c) 28<br>d) 30<br><strong>Answer:<\/strong> b) 32<br><strong>Explanation:<\/strong><br>3x+4x=7x=56 \u2192 x=8 \u2192 b=4*8=32<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>93. The ratio of three numbers = 2:3:4. Sum=72. Find smallest number.<\/strong><\/mark><br>a) 16<br>b) 18<br>c) 20<br>d) 24<br><strong>Answer:<\/strong> a) 16<br><strong>Explanation:<\/strong><br>2x+3x+4x=9x=72 \u2192 x=8 \u2192 smallest=2*8=16<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">94. Two numbers are in ratio 3:5. Sum=64. Find larger number.<\/mark><\/strong><br>a) 40<br>b) 36<br>c) 38<br>d) 32<br><strong>Answer:<\/strong> a) 40<br><strong>Explanation:<\/strong><br>3x+5x=8x=64 \u2192 x=8 \u2192 larger=5*8=40<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">95. If a:b = 7:8 and sum=120, find a.<\/mark><\/strong><br>a) 50<br>b) 52<br>c) 56<br>d) 60<br><strong>Answer:<\/strong> c) 56<br><strong>Explanation:<\/strong><br>7x+8x=15x=120 \u2192 x=8 \u2192 a=7*8=56<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>96. The ratio of two numbers = 9:11. If sum = 200, find larger number.<\/strong><\/mark><br>a) 110<br>b) 100<br>c) 90<br>d) 120<br><strong>Answer:<\/strong> a) 110<br><strong>Explanation:<\/strong><br>9x+11x=20x=200 \u2192 x=10 \u2192 larger=11*10=110<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>97. The ratio of three numbers = 3:5:7. Sum=75. Find smallest number.<\/strong><\/mark><br>a) 15<br>b) 20<br>c) 18<br>d) 16<br><strong>Answer:<\/strong> a) 15<br><strong>Explanation:<\/strong><br>3x+5x+7x=15x=75 \u2192 x=5 \u2192 smallest=3*5=15<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">98 .If a:b=4:5 and b:c=6:7, find a:b:c.<\/mark><\/strong><br>a) 8:10:12<br>b) 28:35:42<br>c) 24:30:35<br>d) 12:15:18<br><strong>Answer:<\/strong> c) 24:30:35<br><strong>Explanation:<\/strong><br>LCM of b\u2019s=30 \u2192 first ratio multiply by 6 \u219224:30, second multiply by 5 \u219230:35 \u2192 a:b:c=24:30:35<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">99. The ratio of two numbers = 3:4. Difference=15. Find numbers.<\/mark><\/strong><br>a) 45,60<br>b) 30,45<br>c) 36,51<br>d) 42,57<br><strong>Answer:<\/strong> a) 45,60<br><strong>Explanation:<\/strong><br>4x-3x=x=15 \u2192 x=15 \u2192 numbers=3<em>15=45,4<\/em>15=60<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">100. The ratio of milk to water=5:3. Total mixture=64 liters. Find water.<\/mark><\/strong><br>a) 20<br>b) 24<br>c) 25<br>d) 28<br><strong>Answer:<\/strong> b) 24<br><strong>Explanation:<\/strong><br>Total parts=5+3=8 \u2192 water=3\/8*64=24 liters<\/p>\n\n\n","protected":false},"excerpt":{"rendered":"<p>1. The ratio of 12 to 18 is:a) 1:2b) 2:3c) 3:4d) 4:5Answer: b) 2:3Explanation:Simplify 12:18 \u2192 divide both by 6 \u2192 2:3. 2. If a:b = 3:4 and b:c = 2:5, find a:b:c.a) 3:2:5b) 6:8:20c) 3:8:20d) 6:4:10Answer: c) 3:8:20Explanation:a:b = 3:4, b:c = 2:5 \u2192 LCM of b\u2019s = 4 &amp; 2 = 4 \u2192<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"[]"},"categories":[3,1],"tags":[12983,12181,13058,12975,12964,12978,12976,5649,5623,13076,13064,13078,13068,13063,13060,13066,13062,13067,13059,13070,13061,13065,13073,13072,13075,13074,10940,13069,13077],"class_list":{"0":"post-12546","1":"post","2":"type-post","3":"status-publish","4":"format-standard","6":"category-mathematics","7":"category-blog","8":"tag-competitive-exams","9":"tag-exam-preparation","10":"tag-heres-a-set-of-top-keyword-tags-for-ratio-and-proportion-top-100-mcqs-with-explanation-mathematics","11":"tag-math-exercises","12":"tag-math-mcqs","13":"tag-math-practice","14":"tag-mathematics-questions","15":"tag-mcqs-for-pc-psi-sda-fda-pdo-vao-banking-kas-ias-ssc-gd-ssc-chsl-ssc-cgl-for-all-compitative-exams","16":"tag-mcqs-for-sda-fda-pdo-vao-banking-kas-ias-ssc-gd-ssc-chsl-ssc-cgl-for-all-compitative-exams","17":"tag-ratio-and-proportion-examples","18":"tag-ratio-and-proportion-exercises","19":"tag-ratio-and-proportion-for-students","20":"tag-ratio-and-proportion-formulas","21":"tag-ratio-and-proportion-learning","22":"tag-ratio-and-proportion-mcqs","23":"tag-ratio-and-proportion-notes","24":"tag-ratio-and-proportion-practice","25":"tag-ratio-and-proportion-problems","26":"tag-ratio-and-proportion-questions","27":"tag-ratio-and-proportion-questions-with-answers","28":"tag-ratio-and-proportion-quiz","29":"tag-ratio-and-proportion-revision","30":"tag-ratio-and-proportion-solutions","31":"tag-ratio-and-proportion-study-material","32":"tag-ratio-and-proportion-test","33":"tag-ratio-and-proportion-tips","34":"tag-ratio-and-proportion-top-100-mcqs-with-answer-and-explanation","35":"tag-ratio-and-proportion-tricks","36":"tag-ratio-and-proportion-tutorials"},"_links":{"self":[{"href":"https:\/\/mcqsadda.com\/index.php\/wp-json\/wp\/v2\/posts\/12546","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mcqsadda.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mcqsadda.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mcqsadda.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mcqsadda.com\/index.php\/wp-json\/wp\/v2\/comments?post=12546"}],"version-history":[{"count":5,"href":"https:\/\/mcqsadda.com\/index.php\/wp-json\/wp\/v2\/posts\/12546\/revisions"}],"predecessor-version":[{"id":12788,"href":"https:\/\/mcqsadda.com\/index.php\/wp-json\/wp\/v2\/posts\/12546\/revisions\/12788"}],"wp:attachment":[{"href":"https:\/\/mcqsadda.com\/index.php\/wp-json\/wp\/v2\/media?parent=12546"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mcqsadda.com\/index.php\/wp-json\/wp\/v2\/categories?post=12546"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mcqsadda.com\/index.php\/wp-json\/wp\/v2\/tags?post=12546"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}