Ratio and Proportion

ABC26GN2992 · If the ratio between the ages of P and Q is 2 : 3 and that between the ages of Q and R is 4 : 5, then the ratio between the ages of P and R…

ABC26GN2993 · If W1: W2=2: 3 and W1: W3=1: 2, then W2 : W3 is · 2010

ABC26GN2943 · If m is proportional to n and m = 5 when n = 4, then what is the value of m when n = 18?

ABC26GN2994 · If A: B=2: 3, B: C=2: 4 and C: D=2: 5, then A: D is equal to · 2007

ABC26GN2995 · If 3 A=5 B and 4 B=6 C, then A: C is equal to

ABC26GN2945 · The time of oscillation of a pendulum varies as the square root of its length. If a pendulum of length 40 cm oscillates once in a second…

ABC26GN2996 · If one star equals four circles and three circles equal four diamonds, then what is the ratio of star to diamond?

ABC26GN2946 · The ratio of the number of students studying in schools A, B and C is 6 : 8 : 7 respectively. If the number of students studying in each of… · 2008

ABC26GN2997 · In a business, the ratio of the capitals of A and B is 2 : 1, that of B and C is 4 : 3 and that of D and C is 6 : 5. Then the ratio of the…

ABC26GN2947 · The cost of manufacturing a car is made up of three items : cost of materials, labour and overheads. In a year, the cost of these items…

ABC26GN2998 · If A: B=7: 9 and B: C=5: 4, then A: B: C is

ABC26GN2948 · Cost of a diamond varies directly as the square of its weight. A diamond broke into four pieces with their weights in the ratio 1 : 2 : 3… · 2010

ABC26GN2999 · If A: B=2: 3, B: C=4: 5 and C: D=6: 7, then A: B: C: D is

ABC26GN2949 · In a mixture of three varieties of tea, the ratio of their weights is 4 : 5 : 8. If 5 kg tea of the first variety, 10 kg tea of the second… · 2006

ABC26GN3000 · If A: B=1/2: 1/3 and B: C=1/2: 1/3, then A: B: C is equal to

ABC26GN2950 · A shopkeeper mixes two varieties of tea – one costing ` 75 per kg and the other costing ` 50 per kg in the ratio 3 : 2. If he sells the… · 2008

ABC26GN3001 · If A: B=1/2: 3/8, B: C=1/3: 5/9 and C: D=5/6: 3/4, then the ratio A: B: C: D is

ABC26GN2951 · Initially two cups of same volume are filled with milk upto 3/5 th and 4/5 th of their volumes. Water is then filled. Then two mixtures are…

ABC26GN3002 · For each 200 rupees spent by the research department, sales department spends 20 rupees. For every 400 rupees spent by the sales…

ABC26GN2952 · Three equal jugs are filled with a mixture of milk and water. The proportion of milk and water in each glass is in the ratio 1 : 2, 2 : 3… · 2008

ABC26GN3003 · In a ratio which is equal to 7 : 8, if the antecedent is 35, what is the consequent?

ABC26GN3004 · If 8 a=9 b then the ratio of a/9 to b/8 is · 2009

ABC26GN2954 · Visitors to a show were charged ` 12 each on the first day, ` 9.50 on the second, ` 4 on the third day and the total attendance on three…

ABC26GN3005 · If x: y=3: 4, then (2 x+3 y):(3 y-2 x) would be equal to · 2007

ABC26GN2955 · 7 men, 5 women and 8 children were given an assignment of distributing 2000 books to students in a school over a period of three days. All…

ABC26GN3006 · If a: b=2: 5, then the value of (2 a+3 b):(7 a+ 5b) is

ABC26GN2956 · Ratio of the incomes of A, B and C last year was 3 : 4 : 5. The ratio of their individual incomes of the last year and this year are 4 : 5…

ABC26GN3007 · If x: y=3: 2, then the ratio (2 x2+3 y2): (3 x2-2 y2) is equal to

ABC26GN2957 · Two identical vessels A and B contain mixtures of milk and water in the ratios 4 : 5 and 5 : 1 respectively. In what ratio should…

ABC26GN3008 · If x: y=3: 1, then x3-y3: x3+y3= ?

ABC26GN3009 · If 5 a+3 b: 2 a-3 b=23: 5, then the value of a: b is

ABC26GN3010 · If x: y=7: 3, then the value of (x y+y2)/(x2-y2) is

ABC26GN3011 · If a/b=4/5 and b/c=15/16, then (c2-a2)/(c2+a2) would be

ABC26GN3013 · If a: b=b: c, then a4: b4 would be equal to · 2006

ABC26GN3014 · If (4 x2-3 y2): (2 x2+5 y2)=12: 19, then x: y is

ABC26GN3016 · If x: y=3: 4 and a: b=1: 2, then the value of (2 x a+y b)/(3 y b-4 x a) is

ABC26GN3017 · If a: b: c=2: 3: 4, then 1/a: 1/b: 1/c is equal to

ABC26GN3018 · If 1/x: 1/y: 1/z=2: 3: 5, then x: y: z is equal to

ABC26GN3019 · If (x+y):(x-y)=4: 1, then (x2+y2): (x2-y2) = ?

ABC26GN3021 · If a:(b+c)=1: 3 and c:(a+b)=5: 7, then b: (a+c) is equal to · 2006

ABC26GN3023 · If a: b=3: 4, b: c=4: 7, then (a+b+c)/c is equal to · 2010

ABC26GN3024 · If A: B: C=2: 3: 5 and A=x% of (B+C), then x is equal to · 2007

ABC26GN3025 · x, y, z, u are real numbers such that x: y=y: z =z: u and x: u=64: 27. The value of x: z is

ABC26GN3027 · If a: b=2: 3 and b: c=4: 5, then (a+b):(b+c) is equal to

ABC26GN3028 · If a: b=c: d=e: f=1: 2, then (3 a+5 c+7 e): (3 b+5 d+7 f) is equal to

ABC26GN3032 · If a+b: b+c: c+a=6: 7: 8 and a+b+c=14, then the value of c is

ABC26GN3033 · The fourth proportional to 5, 8, 15 is

ABC26GN3034 · The fourth proportional to 0.12,0.21 and 8 is

ABC26GN3035 · Fourth proportional to (a2-b2), (a2-a b), (a3+b3) is

ABC26GN3036 · The third proportional to 38 and 15 is