In a mixture of milk and water, their ratio is 5:6 respectively in the first container. And the same mixture has ratio 7:2 respectively in the second container. What is the ratio should the mixture be extracted from each container and poured in to the third container, so that the ratio of milk and water comes to 6:5 respectively in the third container? a) 99:253 b) 253:99 c) 243:88 d) 88:243 e) None of these

 In a mixture of milk and water, their ratio is 5:6 respectively in the first container. And the same mixture has ratio 7:2 respectively in the second container. What is the ratio should the mixture be extracted from each container and poured in to the third container, so that the ratio of milk and water comes to 6:5 respectively in the third container? a) 99:253 b) 253:99 c) 243:88 d) 88:243 e) None of these
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1 Answer

Answer :

Answer: B

x litres of mixture be taken from the first container and poured into the third container.

Let y litres of mixture be taken from the second container and poured into the third container.

Quantity of milk in x litres=5/11 x

Quantity of milk in y litres=7/9 y

Quantity of milk in third container = 5/11 x+7/9 y

Similarly, quantity of water in third container,

=6/11 x+2/9 y

(5x/11+7y/9) :(6x/11+2y/9)=6 :5

((45x+77y)/99)/((54x+22y)/99)=6/5

=>324x-225x=385y-132y =>99x=253y =>x/y=253/99

=253 :99
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On a certain day, the ratio of the passenger in the 1st class and the second class travelling by train is 1:3. the ratio of the fares collected from each first class and second class passengers is 30:1. If the total amount collected from all the passengers is Rs 1,320. Find the amount in Rs, collected from the second class passengers. A) 240 B) 360 C) 480 D) 120 E) None

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Rs.1870 is divided into three parts in such a way that half of the first part, one-third of the second part and one-sixth of the third part are equal. The third part is A) Rs.510 B) Rs.680 C) Rs.850 D) Rs.1020 E) None of these

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Last Answer : Answer: D F/2 = S/3= T/6 T = 2S = 3F F + S + T = 1870 T( 1/3 +1/2 + 1 ) = 1870 T= 1870 x 6/11 = 170 x 6 = 1020 Or the third part is a multiple of 6 and is large

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Description : A bus and a truck are available to cross a jungle. The speed of the truck is thrice that of the bus. The capacity of the truck is 60 persons and that of bus is 40 persons. The average occupancy of the bus is twice ... boarding it and its capacity. a) 9:17 b) 17:9 c) 8:27 d) 27:8 e) None of these

Last Answer :  Answer: D Average Rupee collection = Speed× capacity × Occupancy × Ticket rate Ratio of average Rupee collection of truck to that of bus= product of above rate According to question, (3×60×1×1.5):(1×40×2×1)= 270:80=27:8

Three friends Alice, Bond and Charlie divide $1105 amongst them in such a way that if $10, $20 and $15 are removed from the sums that Alice, Bond and Charlie received respectively, then the share of the sums that they got will be in the ratio of 11 : 18 : 24. How much did Charlie receive? a) $495 b) $510 c) $480 d) $375 e) $360

Description : Three friends Alice, Bond and Charlie divide $1105 amongst them in such a way that if $10, $20 and $15 are removed from the sums that Alice, Bond and Charlie received respectively, then the share of the sums that ... 18 : 24. How much did Charlie receive? a) $495 b) $510 c) $480 d) $375 e) $360

Last Answer : Answer: A Let the sums of money received by A, B and C be x, y and z respectively. Then x - 10 : y - 20 : z -15 is 11a : 18a : 24a When $10, $20 and $15 are removed, we are removing a total of $45 from ... or a= 20 We know that z - 15 = 24a = (24 * 20) = 480 Therefore, z = 480 + 15 = $495

The ratio of the price of two houses was 17:24. Two years later, when the price of the first had risen by 20% while the price of second house increases by Rs.500 and their prices become 16:25. Find the original prices of the two houses together? a) Rs.2603 b) Rs.2503 c) Rs.2403 d) Rs.2303 e) None of these

Description : The ratio of the price of two houses was 17:24. Two years later, when the price of the first had risen by 20% while the price of second house increases by Rs.500 and their prices become 16:25. Find the original ... two houses together? a) Rs.2603 b) Rs.2503 c) Rs.2403 d) Rs.2303 e) None of these

Last Answer : Answer: A Let, new price of the first house=17x 120/100=102x/5 Let, new price of the second house=24x+500 According to the question, (102x/5) :(24x+500)=16 :25 ((102x/5))/((24x+500 ... price of second house=24 4000/63=1523.81 ~ Rs.1524 Required answer, =1079+1524=2603 Answer=d) Rs.2603

The ratio of the number of boys to the number of girls in a school is 6 : 5. If 20% of boys and 45% of girls come by bus to school, what percentage of students opt transport other than bus to come to school? A) 68 9/11% B) 68 7/11% C) 72 7/11% D) 73% E) 73 5/11%

Description : The ratio of the number of boys to the number of girls in a school is 6 : 5. If 20% of boys and 45% of girls come by bus to school, what percentage of students opt transport other than bus to come to school? A) 68 9/11% B) 68 7/11% C) 72 7/11% D) 73% E) 73 5/11%

Last Answer : Answer: B If 20% of boys and 45% of girls come by bus, then 80% of boys and 55% of girls opt transport other than bus. Let total number of students in school = x So boys who opt other transport are (80/100) * 6/(6+5 ... (24x/55) + (x/4) = 151x/220 So required % = [(151x/220)/x] * 100 = 68 7/11 %

In Ram nagar Colony, the ratio of school going children to non-school going children is 5 : 4. If in the next year, the number of non-school going children is increased by 20%, making it 35,400 what is the new ratio of school going children to non-school going children? a) 4 : 5 b) 3 : 2 c) 25 : 24 d) 6 : 7 e) None of these

Description :  In Ram nagar Colony, the ratio of school going children to non-school going children is 5 : 4. If in the next year, the number of non-school going children is increased by 20%, making it 35,400 what is the new ratio of school ... children? a) 4 : 5 b) 3 : 2 c) 25 : 24 d) 6 : 7 e) None of these

Last Answer : Answer: C 5 : 4 → 5 : 4.8 → 25 : 24

Three friends A, B and C started a business by investing a sum of money in the ratio of 5 : 7 : 6. After 6 months C withdraws half of his capital. If the sum invested by ‘A’ is Rs 40,000, out of a total annual profit of Rs 33,000, C’s share will be a) Rs 9,000 b) Rs 12,000 c) Rs 11,000 d) Rs 10,000 e) None of these

Description : Three friends A, B and C started a business by investing a sum of money in the ratio of 5 : 7 : 6. After 6 months C withdraws half of his capital. If the sum invested by A' is Rs 40,000, out of a total annual ... share will be a) Rs 9,000 b) Rs 12,000 c) Rs 11,000 d) Rs 10,000 e) None of these

Last Answer : Answer: A Sum invested by A , B and C is 5 * 12:7 * 12:6 * 6 + 3 * 6 or 60 : 84 : 54 or 10 : 14 : 9 :: Share of C = ( 9 / 33 ) * 33000 = Rs. 9000

If 40 percent of a number is subtracted from the second number then the second number is reduced to its 3/5. Find the ratio between the first number and the second number. A) 1:3 B) 1:2 C) 1:1 D) 2:3 E) None of these

Description :  If 40 percent of a number is subtracted from the second number then the second number is reduced to its 3/5. Find the ratio between the first number and the second number. A) 1:3 B) 1:2 C) 1:1 D) 2:3 E) None of these

Last Answer : Answer: C [ b – (40/100)a] = (3/5)b. So we get a = b. 1:1

When 30 percent of a number is added to another number the second number increases to its 140 per cent. What is the ratio between the first and the second number? a) 3 : 4 b) 4 : 3 c) 3 : 2 d) 4 : 5 e) None of these

Description : When 30 percent of a number is added to another number the second number increases to its 140 per cent. What is the ratio between the first and the second number? a) 3 : 4 b) 4 : 3 c) 3 : 2 d) 4 : 5 e) None of these

Last Answer : Answer: B of x=140% of y or, y + 0.3x = 1.4y or, 0.3x = 0.4y ∴ x : y = 0.4 : 0.3 = 4 : 3

An employer reduces the number of his employees in the ratio of 7:4 and increases their wages in the ratio 3:5. State whether his bill of total wages increases or decreases and in what ratio. a) increases 20:21 b) decreases 21:20 c) increases 21:22 d) decreases 22:21 e) None of these

Description : An employer reduces the number of his employees in the ratio of 7:4 and increases their wages in the ratio 3:5. State whether his bill of total wages increases or decreases and in what ratio. a) increases 20:21 b) decreases 21:20 c) increases 21:22 d) decreases 22:21 e) None of these

Last Answer : Answer: B Let initial employees be 7x and then 4x similarly initial wages be 3y and then 5y so total wage = 21xy initially and then 20xy so wages decreases and ratio = 21:20

In 1 kg mixture of sand and iron, 20% is iron. How much sand should be added so that the proportion of iron becomes 10%? a) 1 kg b) 200 gms c) 800 gms d) 1.8 kg e) None of these

Description : In 1 kg mixture of sand and iron, 20% is iron. How much sand should be added so that the proportion of iron becomes 10%? a) 1 kg b) 200 gms c) 800 gms d) 1.8 kg e) None of these

Last Answer : Answer: A If we add x grams of sand, the total amount would be 1,000 + x grams of mixture and we need 200 grams of iron to be 10% of that: 0.1(1,000 + x) = 200 --> x = 1,000. 

Brother A and B had some savings in the ratio 5:6. They decided to buy a gift for their sister, sharing the cost in the ratio 4:5. After they bought, A is left with three-fourth of his amount, while B is left with Rs.497. Then, the value of the gift is a) 215 b) 115 c) 315 d) 415 e) None of these

Description : Brother A and B had some savings in the ratio 5:6. They decided to buy a gift for their sister, sharing the cost in the ratio 4:5. After they bought, A is left with three-fourth of his amount, while B is left with Rs.497. Then, the value of the gift is a) 215 b) 115 c) 315 d) 415 e) None of these

Last Answer : Answer: C Let the savings of A and B are 5x, 6x and the share cost of gift are 4y, 5y respectively. According to question, For A, 5x-4y=3/4×5x =>x=16y/5 For B, 6x-5y=497 =>6×16y/5-5y=497 =>y=35 Cost of gift=4y+5y=9×35 =315

Ratio of earnings of A and B is 3:5. If the earnings of A increase by 25% and those of B decrease by 30%, the new ratio of their earnings become 6:8.What is A’s earnings ? A) 16,000 B) 34,000 C) 15,000 D) 32,000 E) Data inadequate

Description : Ratio of earnings of A and B is 3:5. If the earnings of A increase by 25% and those of B decrease by 30%, the new ratio of their earnings become 6:8.What is A’s earnings ? A) 16,000 B) 34,000 C) 15,000 D) 32,000 E) Data inadequate

Last Answer : Answer: E Data inadequate We cannot derive the earnings from the given details

The monthly incomes of A and B are in the ratio 4:5, their expenses are in the ratio 5 : 6. If 'A' saves Rs.25 per month and 'B' saves Rs.50 per month, what are their respective incomes? A) Rs.400 and Rs.500 B) Rs.240 and Rs.300 C) Rs.320 and Rs.400 D) Rs.440 and Rs.550 E) NONE

Description : The monthly incomes of A and B are in the ratio 4:5, their expenses are in the ratio 5 : 6. If 'A' saves Rs.25 per month and 'B' saves Rs.50 per month, what are their respective incomes? A) Rs.400 and Rs.500 B) Rs.240 and Rs.300 C) Rs.320 and Rs.400 D) Rs.440 and Rs.550 E) NONE

Last Answer : Answer: A Let AA's income be = 4x AA's expenses, therefore = 4x–25 Let BB's income be = 5x BB's expenses, therefore = 5x–50 We know that the ratio of their expenses = 5:6 ⇒24x−150=25x−250 ⇒ Therefore, x=100 A's income =4x=400 and B's income =5x=500 

The ratio of marks obtained by Vinod and Basu is 6:5. If the combined average of their percentage is 68.75 and their sum of the marks is 275, find the total marks for which exam was conducted. A) 150 B) 200 C) 400 D) 450 E) None

Description : The ratio of marks obtained by Vinod and Basu is 6:5. If the combined average of their percentage is 68.75 and their sum of the marks is 275, find the total marks for which exam was conducted. A) 150 B) 200 C) 400 D) 450 E) None

Last Answer : Answer: B The sum of the marks=6x+5x=11x But the sum of the marks is given as 275=11x. We get x=25x=25 therefore, Vinod's marks is 6x=1506x=150 and Basu's marks = 5x=125. ... Therefore, if their combined average of their percentage is 137.5 then the total marks would be 137.568.75 100=200

IBM and KTC quote for a tender. On the tender opening day, IBM realizes that their quotations are in the ratio 7 :4 and hence decreases its price during negotiations to make it Rs 1 Lakh lower than KTC's quoted price. KTC realizes that the final quotes of the two were in the ratio 3:4. What was the price at which IBM won the bid? A) Rs 7 Lakh B) Rs 4 Lakh C) Rs 3 Lakh D) Rs 1.5 Lakh

Description :  IBM and KTC quote for a tender. On the tender opening day, IBM realizes that their quotations are in the ratio 7 :4 and hence decreases its price during negotiations to make it Rs 1 Lakh lower than KTC's quoted price. KTC ... won the bid? A) Rs 7 Lakh B) Rs 4 Lakh C) Rs 3 Lakh D) Rs 1.5 Lakh

Last Answer : Answer: C IBM initially quoted Rs 7x lakh. KTC quoted 4x lakh. IBM's final quote =(4x−1) Lakh Thus, (4x-1/4x) = 3/4 = x = 1 IBM's bid winning price = Rs 3 Lakh So IBM wins the bid at 4x−1= Rs 3 lakh.

In a house, there are dogs, cats and parrot in the ratio 3:7:5. If the number of cats was more than the number of dogs by a multiple of both 9 and 7, what is the minimum of pets in the house? A) 945 B) 630 C) 252 D) 238 E) NONE

Description :  In a house, there are dogs, cats and parrot in the ratio 3:7:5. If the number of cats was more than the number of dogs by a multiple of both 9 and 7, what is the minimum of pets in the house? A) 945 B) 630 C) 252 D) 238 E) NONE

Last Answer : Answer: A If three kinds of pets are taken be 3k,7k and 5k respectively, then 7k−3k=63p (where pp is any positive integer). As the number is a multiple of both 9 and 7, it has to be multiple of 63. ... pp for which kk is a natural number is 4. Thus, k =63 Hence, the number of pets =15k= 945 

If a carton containing a dozen mirrors is dropped, which of the following cannot be the ratio of the broken mirror to the unbroken mirror? a) 2 :1 b) 7:5 c) 3:2 d) 1:5 e) None of these

Description : If a carton containing a dozen mirrors is dropped, which of the following cannot be the ratio of the broken mirror to the unbroken mirror? a) 2 :1 b) 7:5 c) 3:2 d) 1:5 e) None of these

Last Answer : Answer: C The carton contains a dozen mirror Hence, when dropped, a few mirrors may break. Here, the ratio obtained, no matter whatever is the number of broken mirrors, will always sum up its terms such that they ... of the ratio must be a factor of 12. So they cannot be in the ratio of 3 : 2

The sum of the ages of the 4 members of Sinha family is 172 years. 8 years ago the ages of the 4 members Nishu, Vicky, Mrs.Sinha and Sinha were in the ratio of 2:3:7:8. After how many years would Nishu be as old as the present age of his mother? a) 33 years b) 35 years c) 36 years d) 37 years e) None of these

Description : The sum of the ages of the 4 members of Sinha family is 172 years. 8 years ago the ages of the 4 members Nishu, Vicky, Mrs.Sinha and Sinha were in the ratio of 2:3:7:8. After how many years would Nishu be ... present age of his mother? a) 33 years b) 35 years c) 36 years d) 37 years e) None of these

Last Answer : Answer: B Let their ages 8 years ago be 2x, 3x, 7x, and 8x. Their ages now 2x+8, 3x+8, 7x+8, 8x+8. According to the question, =2x+8+3x+8+7x+8+8x+8=172 20x+32=172 =>x=140/20=7 Present age of Nishu=2×7+8=22 years Present age of mother=7×7+8=57 years Hence, required years (57-22)=35 years

Rs 650 was divided among 3 children A,B,C in the ratio 2 : 4 : 7. Had it been divided in the ratio 1/2 : 1/4 : 1/7, who would have gained the most and by how much? A) C, Rs 246 B) C, Rs 264 C) B, Rs 18 D) A, Rs 246 E) A, Rs 264

Description : Rs 650 was divided among 3 children A,B,C in the ratio 2 : 4 : 7. Had it been divided in the ratio 1/2 : 1/4 : 1/7, who would have gained the most and by how much? A) C, Rs 246 B) C, Rs 264 C) B, Rs 18 D) A, Rs 246 E) A, Rs 264

Last Answer : Answer: E New ratio = 1/2 : 1/4 : 1/7 = 14 : 7 : 4 So both ratio suggests that C has not gained any money, rather he has lose the money. For both ratio find the shares of A and B With ratio 2 : 4 : 7 ... [7/(14+7+4)] * 650 = 182 B has also lose the money, A gain the money and = 364 - 100 = 264