Ratio & Proportion LAT MCQs
60 questions · LAT
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Question 1 of 60
If 4:7 = 16:x, find x.
Explanation4/7=16/x → x=7×16/4=28
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Question 2 of 60
A:B = 7:3. Total = 500. Find A.
ExplanationA=7/10×500=350
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Question 3 of 60
In a class ratio boys:girls = 3:2. If girls=30, how many boys?
Explanationboys/30=3/2 → boys=45
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Question 4 of 60
Simplify 14:21:35
ExplanationGCD=7 → 2:3:5
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Question 5 of 60
If 5:8 = 25:x, find x.
Explanationx=8×25/5=40
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Question 6 of 60
12 taps fill in 45 min. 9 taps fill in how long?
Explanation12×45=9×t → t=540/9=60 min
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Question 7 of 60
If A:B = 3:5 and total = 160, what is A?
ExplanationA=3/(3+5)×160=3/8×160=60
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Question 8 of 60
A:B = 6:11. Total = 680. Find A.
ExplanationA=6/17×680=240
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Question 9 of 60
A:B = 7:4. B = 72. Find A+B.
Explanation7/4=A/72→A=126; A+B=126+72=198
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Question 10 of 60
Divide 840 in ratio 3:4:5.
Explanation3/12×840=210; 4/12=280; 5/12=350
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Question 11 of 60
Simplify 56:84:112
ExplanationGCD=28 → 2:3:4
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Question 12 of 60
A:B:C = 3:5:7. Total = 450. Find C.
ExplanationC=7/15×450=210
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Question 13 of 60
If 5:8 = x:40, find x.
Explanationx=5×40/8=25
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Question 14 of 60
Rs.480 divided in ratio 1:3. Find larger share.
ExplanationLarger=3/4×480=360
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Question 15 of 60
Divide Rs.360 in ratio 5:4
Explanation5/(5+4)×360=200; 4/9×360=160
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Question 16 of 60
Simplify 110:132
ExplanationGCD=22 → 5:6
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Question 17 of 60
If A:B = 3:4 and B:C = 2:5, find A:C.
ExplanationA:C=3/4 × 2/5 = 6:20 = 3:10
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Question 18 of 60
Simplify 168:252
ExplanationGCD=84 → 2:3
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Question 19 of 60
Simplify 144:108
ExplanationGCD(144,108)=36 → 4:3
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Question 20 of 60
If A:B = 2:5 and B:C = 3:7, find A:C.
ExplanationA:C=(2/5)×(3/7)→A:B:C=6:15:35; A:C=6:35
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Question 21 of 60
Simplify 85:34
ExplanationGCD(85,34)=17 → 5:2
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Question 22 of 60
If 10:y = 5:3, find y.
Explanation10/y=5/3 → y=10×3/5=6
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Question 23 of 60
If 3 litres of paint covers 9 sq.m, how much covers 30 sq.m?
Explanation3/9=x/30 → x=10
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Question 24 of 60
Simplify 90:126
ExplanationGCD(90,126)=18 → 5:7
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Question 25 of 60
A cistern fills by two pipes in 6 hrs and 8 hrs. Together?
Explanation1/6+1/8=7/24; t=24/7≈3.43 hrs
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Question 26 of 60
If 2:9 = x:54, find x.
Explanationx=2×54/9=12
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Question 27 of 60
8 taps fill a tank in 27 minutes. Time for 12 taps?
Explanation8×27=12×t → t=216/12=18 min
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Question 28 of 60
Divide Rs.2,100 in ratio 2:3:2.
Explanation2/7×2100=600; 3/7=900; 2/7=600
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Question 29 of 60
If A:B = 5:6, and A = 75, find B.
Explanation75/B=5/6 → B=75×6/5=90
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Question 30 of 60
If 6 workers complete a job in 4 days, how many days for 8 workers?
Explanation6×4=8×d → d=24/8=3 (inverse proportion)
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Question 31 of 60
If 18:x = 6:5, find x.
Explanation18/x=6/5 → x=18×5/6=15
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Question 32 of 60
If 7:x = 49:21, find x.
Explanation7/x=49/21 → x=7×21/49=3
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Question 33 of 60
A:B = 11:5. A = 99. Find B.
Explanation99/B=11/5 → B=45
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Question 34 of 60
If 12:16 = 9:x, find x.
Explanation12/16=9/x → x=9×16/12=12
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Question 35 of 60
A:B = 5:9. Total = 280. Find B.
ExplanationB=9/14×280=180
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Question 36 of 60
If A:B = 2:3, what is A+B if A = 50?
ExplanationA=2k=50→k=25; B=3k=75; A+B=125
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Question 37 of 60
If a recipe needs 3 cups of flour for 12 cookies, how many cups for 36 cookies?
ExplanationDirect proportion: 3×(36/12)=9
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Question 38 of 60
Divide Rs.1,200 in ratio 1:2:3.
Explanation1/6×1200=200; 2/6=400; 3/6=600
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Question 39 of 60
Simplify 25:75
ExplanationGCD=25 → 1:3
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Question 40 of 60
If 3:x = 12:20, find x.
Explanation3/x=12/20 → x=3×20/12=5
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Question 41 of 60
Simplify 36:48
ExplanationGCD(36,48)=12 → 3:4
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Question 42 of 60
Divide 450 in ratio 2:3:4. Find middle part.
ExplanationMiddle=3/9×450=150
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Question 43 of 60
If 15 men can do a work in 8 days, how many men to finish in 6 days?
Explanation15×8=x×6 → x=120/6=20
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Question 44 of 60
A:B:C = 2:3:5, total = 200. What is C?
ExplanationC=5/10×200=100
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Question 45 of 60
Simplify the ratio 12:18
ExplanationGCD(12,18)=6 → 12/6:18/6=2:3
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Question 46 of 60
A:B = 9:4. B = 48. Find A.
ExplanationA/48=9/4 → A=108
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Question 47 of 60
A:B = 4:7. If B = 84, find A.
ExplanationA/84=4/7 → A=4×84/7=48
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Question 48 of 60
Speed and time are __ proportion.
ExplanationMore speed → less time → inverse
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Question 49 of 60
Simplify 120:180:240
ExplanationGCD=60 → 2:3:4
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Question 50 of 60
If a car covers 150km in 3hrs, how long to cover 250km?
Explanation150/3=50km/hr; 250/50=5 hrs (direct proportion)
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Question 51 of 60
Divide Rs.5,400 in ratio 3:5:1.
Explanation3/9×5400=1800; 5/9=3000; 1/9=600
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Question 52 of 60
10 men can build a house in 20 days. How many men for 8 days?
Explanation10×20=x×8 → x=25
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Question 53 of 60
If 4:x = 8:6, what is x?
Explanation4/x=8/6 → x=4×6/8=3
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Question 54 of 60
6 pipes fill a tank in 12 hrs. 4 pipes fill it in how many hrs?
Explanation6×12=4×t → t=72/4=18 hrs
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Question 55 of 60
If x:5 = 8:10, find x.
Explanationx/5=8/10 → x=4
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Question 56 of 60
Simplify 45:60
ExplanationGCD(45,60)=15 → 3:4
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Question 57 of 60
If A:B = 4:5, B:C = 5:6, find A:B:C.
ExplanationA:B:C=4:5:6
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Question 58 of 60
20 workers build a wall in 6 days. How many workers to build in 4 days?
Explanation20×6=x×4 → x=30
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Question 59 of 60
A map has scale 1:50,000. If map distance=4cm, actual distance?
Explanation4×50000=200000cm=2km
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Question 60 of 60
Simplify 52:78:104
ExplanationGCD=26 → 2:3:4
0 / 60 answered
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