alleryReduce the ratio (2/3):(5/6) to whole-number terms.
- 3:5
- 4:5
- 5:4
- 2:5
Show answer and solution
Correct answer: B. 4:5
Multiplying both terms by six gives 4:5.
ICSE Class 10 Algebra: Equations, Inequations & Matrices — practice questions — page 6
Explore 212 free Algebra: Equations, Inequations & Matrices questions in ICSE Class 10 Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
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Showing questions 151–180 of 212.
Reduce the ratio (2/3):(5/6) to whole-number terms.Read the answer and worked solution →Express 45 minutes:1.5 hours in simplest form.Read the answer and worked solution →A:B=3:4 and B:C=5:2 for positive amounts. Find A:B:C.Read the answer and worked solution →₹900 is divided among three people in ratio 2:3:4. Largest share?Read the answer and worked solution →Two positive amounts have ratio 5:8 and differ by ₹21. Their total isRead the answer and worked solution →A:B savings=7:5. A transfers ₹30 to B, making them equal. A originally hadRead the answer and worked solution →A 25 kg sugar-water mix is 2:3 by mass. Water needed to make it 2:5?Read the answer and worked solution →Mixes contain only A,B: 100 g at 1:4 and 150 g at 2:3 by mass. Final A:B?Read the answer and worked solution →A class has girls:boys=3:2, with no other pupils. Girls form what percentage?Read the answer and worked solution →Positive a,b,c are in continued proportion, a+c=20, b=8 and a<c. Find a.Read the answer and worked solution →The mean proportional of positive p,q is 6. Find the mean proportional of 4p,9q.Read the answer and worked solution →In continued proportion, the terms are x−2,x,x+3, all positive. Determine x.Read the answer and worked solution →Which triple is in continued proportion?Read the answer and worked solution →The mean proportional of positive p,q is 5. For 1/p,1/q it isRead the answer and worked solution →For x>0, which relation makes y directly proportional to x?Read the answer and worked solution →y is directly proportional to x; y=15 when x=6. Its formula isRead the answer and worked solution →For positive directly proportional x,y, x rises 20%. How does y change?Read the answer and worked solution →Positive a/b=c/d=2/3. What can be concluded about a:c?Read the answer and worked solution →Dividing a cubic by a linear polynomial gives a quotient of degreeRead the answer and worked solution →A nonzero remainder on division by 3x+2 must beRead the answer and worked solution →The remainder of 4x²−3x+1 on division by 2x−1 isRead the answer and worked solution →If f(x)=(x−2)(x²+3)+5, what is f(2)?Read the answer and worked solution →f(x)=(x+1)(2x²−3x)+4. Its quotient on division by x+1 isRead the answer and worked solution →f(x) has remainder 7 on division by x−3. Dividing it by 2x−6 leavesRead the answer and worked solution →f and g leave remainders 3 and 5 on division by x+1. What does 2f−g leave?Read the answer and worked solution →A quadratic f and linear g leave 2 and −3 when divided by x−1. Their product leavesRead the answer and worked solution →For a cubic f, f(4)=9. The remainder of f(x+1) divided by x−3 isRead the answer and worked solution →If f(−2)=6 and h(x)=f(−x), what is h's remainder on division by x−2?Read the answer and worked solution →A cubic f satisfies f(3)=0. Which must divide f(2x+1)?Read the answer and worked solution →Which must be a factor of f(x)−f(2), for any cubic f?Read the answer and worked solution →
Worked practice questions
Express 45 minutes:1.5 hours in simplest form.
- 3:2
- 2:1
- 1:2
- 30:1
Show answer and solution
Correct answer: C. 1:2
Converting 1.5 hours to 90 minutes gives 45:90=1:2.
A:B=3:4 and B:C=5:2 for positive amounts. Find A:B:C.
- 3:4:2
- 15:4:8
- 15:20:8
- 3:20:2
Show answer and solution
Correct answer: C. 15:20:8
Matching B at twenty parts gives A=15 parts and C=8 parts.
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