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

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
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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. 
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In 1 kg mixture of iron and carbon, 40% is carbon. How much iron should be added so that the proportion of carbon becomes 20% a)1.5kg b)2kg c)3kg d)5kg

Description :  In 1 kg mixture of iron and carbon, 40% is carbon. How much iron should be added so that the proportion of carbon becomes 20% a)1.5kg b)2kg c)3kg d)5kg e)1kg

Last Answer : E Quantity of the mixture : Quantity of iron = 20 : 20 = 1 : 1 Given that quantity of the mixture = 1 kg Hence quantity of iron to be added = 1 kg

The salaries of A,B and C are in the ratio 5:3:2.If the increments of 20% ,10% and 20% are allowed in their salaries, then what will be the new ratio of their salaries ? A) 22:11:9 B) 22:10:8 C) 20:11:8 D) 20:10:9 E) None of these

Description : The salaries of A,B and C are in the ratio 5:3:2.If the increments of 20% ,10% and 20% are allowed in their salaries, then what will be the new ratio of their salaries ? A) 22:11:9 B) 22:10:8 C) 20:11:8 D) 20:10:9 E) None of these

Last Answer : Answer: C 

The ratio of the monthly salaries of A and B is in the ratio 15 : 16 and that of B and C is in the ratio 17 : 18. Find the monthly income of C if the total of their monthly salary is Rs 1,87,450. A) Rs 66,240 B) Rs 72,100 C) Rs 62,200 D) Rs 65,800 E) Rs 60,300

Description : The ratio of the monthly salaries of A and B is in the ratio 15 : 16 and that of B and C is in the ratio 17 : 18. Find the monthly income of C if the total of their monthly salary is Rs 1,87,450. A) Rs 66,240 B) Rs 72,100 C) Rs 62,200 D) Rs 65,800 E) Rs 60,300

Last Answer : Answer: A A/B = 15/16 and B/C = 17*18 So A : B : C = 15*17 : 16*17 : 16*18 = 255 : 272 : 288 So C’s salary = [288/(255+272+288)] * 1,87,450= Rs 66,240

Consider two alloys A and B. 50 kg of alloy A is mixed with 70 kg of alloy B. A contains brass and copper in the ratio 3 : 2, and B contains them in the ratio 4 : 3 respectively. What is the ratio of copper to brass in the mixture? A) 8 : 5 B) 7 : 5 C) 5 : 11 D) 4 : 9 E) 5 : 7

Description : Consider two alloys A and B. 50 kg of alloy A is mixed with 70 kg of alloy B. A contains brass and copper in the ratio 3 : 2, and B contains them in the ratio 4 : 3 respectively. What is the ratio of copper to brass in the mixture? A) 8 : 5 B) 7 : 5 C) 5 : 11 D) 4 : 9 E) 5 : 7

Last Answer : Answer: E Brass in A = 3/5 * 50 = 30 kg, Brass in B = 4/7 * 70 = 40 kg Total brass = 30+40 = 70 kg So copper in mixture is (50+70) – 70 = 50 kg So copper to brass = 50 : 70=5:7

When 7 is added to the numerator and denominator of the fraction, then the new ratio of numerator and denominator becomes 13:19, what is the original ratio ? A) 11:13 B) 7:9 C) 4:7 D) Can’t be determined E) None of these

Description : When 7 is added to the numerator and denominator of the fraction, then the new ratio of numerator and denominator becomes 13:19, what is the original ratio ? A) 11:13 B) 7:9 C) 4:7 D) Can’t be determined E) None of these

Last Answer : Answer: D  X+7/y+7 = 13/19 x and y are different variable, so original fraction cannot be determined

If x is subtracted from the numbers 7, 31 and 199, then the remainders will be in continued proportion. What is the value of x? a) 5 b) 3 c) 8 d) 4 e) None of these

Description : If x is subtracted from the numbers 7, 31 and 199, then the remainders will be in continued proportion. What is the value of x? a) 5 b) 3 c) 8 d) 4 e) None of these

Last Answer : Answer: B (7-x)/(31-x)= (31-x)/(199-x) gives x=3

A sum of money is to be distributed among A, B, C, D in the proportion of 5:2:4:3. If C gets Rs. 1000 more than D, what is B's share? A) Rs. 500 B) Rs. 1500 C) Rs. 2000 D) Rs.2500 E) NONE

Description : A sum of money is to be distributed among A, B, C, D in the proportion of 5:2:4:3. If C gets Rs. 1000 more than D, what is B's share? A) Rs. 500 B) Rs. 1500 C) Rs. 2000 D) Rs.2500 E) NONE

Last Answer : Answer: C Let the shares of A, B, C, D be Rs. 5x, Rs. 2x, Rs. 4x and Rs. 3x respectively. Then, 4x−3x=1000 ⇒x=1000. B's share =Rs.2x=Rs.(2×1000)= Rs. 2000

Seven men, five women and eight children were given as assignment of distributing 2000 books to students in a school over a period of three days. All of them distributed books on the first day. One of the second day two women and three children remained absent and on the third day three men and five children remained absent. If the ratio of the number of books distributed in a day by a man, a woman and a child was 5 : 4 : 2 respectively, a total of approximately how many books were distributed on the second day? a) 1000 b) 800 c) 650 d) 900 e) Cannot be determined

Description : Seven men, five women and eight children were given as assignment of distributing 2000 books to students in a school over a period of three days. All of them distributed books on the first day. One of the second ... distributed on the second day? a) 1000 b) 800 c) 650 d) 900 e) Cannot be determined

Last Answer : Answer: C Sol. Let the books distributed by man, a woman and a child be 5x, 4x and 2x respectively. ∴ No. of books distributed in 1st day = 7 5x+5 4x+8 2x=71x No. of books distributed in 2nd day =7 ... 2x=46x 71x + 57x + 46x = 2000, x = 2000/174 57x=2000/174 57= 655 650 (Approx)

A noodles merchant buys two varieties of noodles the price of the first being twice that of the second. He sells the mixture at Rs 17.50 per kilogram thereby making a profit of 25% . If the ratio of the amounts of the first noodles and the second noodles in the mixture is 2:3, then the respective costs of each noodles are A) Rs 20, Rs 10 B) Rs 24, Rs 12 C) Rs 16, Rs 8 D) Rs 26, Rs 13 E) NONE

Description : A noodles merchant buys two varieties of noodles the price of the first being twice that of the second. He sells the mixture at Rs 17.50 per kilogram thereby making a profit of 25% . If the ratio of the amounts of the first noodles ... , Rs 10 B) Rs 24, Rs 12 C) Rs 16, Rs 8 D) Rs 26, Rs 13 E) NONE

Last Answer : Answer: A

Joseph bought two varieties of rice, costing 5 cents per ounce and 6 cents per ounce each, and mixed them in some ratio. Then he sold the mixture at 7 cents per ounce, making a profit of 20 percent. What was the ratio of the mixture? A) 1:10 B) 1:5 C) 2:7 D) 3:8 E) NONE

Description : Joseph bought two varieties of rice, costing 5 cents per ounce and 6 cents per ounce each, and mixed them in some ratio. Then he sold the mixture at 7 cents per ounce, making a profit of 20 percent. What was the ratio of the mixture? A) 1:10 B) 1:5 C) 2:7 D) 3:8 E) NONE

Last Answer : Answer: B 1) 20% profit at the price of 7 cents means that cost of the mixture should be 70/12 cents per ounce (7 = 120% and x = 100% => x = 7*100/120) 2) Let the amount of 5 cent rice will be x and the amount ... which as we know should equal to 70/12 3) (5x + 6y)/(x + y) = 70/12 => x/y = 1/5

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 %

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

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

The ratio of prices of 2 dresses is 10:15.If the price of the first dress is increased by 10% and that of the second dress by Rs.400 then the ratio of their prices is 4:7.What are the initial prices of the dresses ? A) 910,1375 B) 920,1380 C) 930,1395 D) 940, 1410 E) None of these

Description : The ratio of prices of 2 dresses is 10:15.If the price of the first dress is increased by 10% and that of the second dress by Rs.400 then the ratio of their prices is 4:7.What are the initial prices of the dresses ? A) 910,1375 B) 920,1380 C) 930,1395 D) 940, 1410 E) None of these

Last Answer : Answer: D Let the initial price of the dress = 10x and 15x Price of the 1st dress after increment = 10x × (110/100) = 11x Price of the 2nd dress after increment = 15x+400 [11x/(15x+400)] = 4/7 77x = 60x + 1600 17x = 1600 X = 1600/17 = 94.11 = 94 So dresses will be 940, 1410

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

Description :  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 ... third container? a) 99:253 b) 253:99 c) 243:88 d) 88:243 e) None of these

Last 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 ... 22y)/99)=6/5 =>324x-225x=385y-132y =>99x=253y =>x/y=253/99 =253 :99

Two candles of same height are lighted at the same time. The first is consumed in 6 hours and second in 4 hours. Assuming that each candles burns at a constant rate, in how many hours after being lighted, the ratio between the first and second candles becomes 2:1? a) 1 hour b) 2 hour c) 3 hour d) 4 hour e) None of these

Description : Two candles of same height are lighted at the same time. The first is consumed in 6 hours and second in 4 hours. Assuming that each candles burns at a constant rate, in how many hours after being lighted, the ratio between ... becomes 2:1? a) 1 hour b) 2 hour c) 3 hour d) 4 hour e) None of these

Last Answer : Answer: C Let height of both candles is ‘h’ and let after t times ratio between the height be 2:1 h – t*h/6 : h – t*h/4 = 2:1 t = 3

Two candles of same height are lighted at the same time. The first is consumed in 3 hours and second in 2 hours. Assuming that each candles burns at a constant rate, in how many hours after being lighted, the ratio between the first and second candles becomes 2:1? A) 2 hour B) 2.5 hour C) 4 hour D) 1.5 hour E) None of these

Description : Two candles of same height are lighted at the same time. The first is consumed in 3 hours and second in 2 hours. Assuming that each candles burns at a constant rate, in how many hours after being lighted, the ratio between the ... 2:1? A) 2 hour B) 2.5 hour C) 4 hour D) 1.5 hour E) None of these

Last Answer : Answer: D Height of both candles are same i.e. h First one takes 3 hours to burn completely, so in one hour = h/3 Similarly second one will burn in one hour = h/2 Let after t time, ratio between their height is 2:1 so, ... given 2:1, h - t*(h/3) / h - t*(h/2) = 2/1 Solving we get t = 1.5

A vessel contains milk and water in the ratio of 4:3. If 14 litres of the mixture is drawn and filled with water, the ratio changes to 3:4. How much milk was there in the vessel initially? a) 24 b) 32 c) 40 d) 48 e) None of these

Description : A vessel contains milk and water in the ratio of 4:3. If 14 litres of the mixture is drawn and filled with water, the ratio changes to 3:4. How much milk was there in the vessel initially? a) 24 b) 32 c) 40 d) 48 e) None of these

Last Answer : Answer: B milk = 4x and water = 3x milk = 4x – 14*4/7 and water = 3x – 14*3/7 + 14 4x – 8: 3x + 8 = 3:4 X = 8, so milk = 8*4 = 32 litres

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 outgoing batch of students wants to gift a PA system worth Rs 4,200 to their school. If the teachers, offer to pay 50% more than the students and an external benefactor gives three times the teacher's contribution, then how much should the teachers donate? A) Rs 600 B) Rs 840 C) Rs 900 D) Rs 1,200 E) NONE

Description : An outgoing batch of students wants to gift a PA system worth Rs 4,200 to their school. If the teachers, offer to pay 50% more than the students and an external benefactor gives three times the teacher's contribution, then ... the teachers donate? A) Rs 600 B) Rs 840 C) Rs 900 D) Rs 1,200 E) NONE

Last Answer : Answer: C The ratio of the share students : teacher: benefactor=1:1.5 : 4.5 So the proportion to teacher's share = 1.5/7 Hence, the teachers would donate 1.5/7×4200=Rs 900

Two alloys contain platinum and gold in the ratio of 1:2 and 1:3 respectively. A third alloy C is formed by mixing alloys one and alloy two in the ratio of 3:4. Find the percentage of gold in the mixture a) 79.2/7% b) 71.2/7% c) 73.2/7% d) 71.3/7% e) None of these

Description : Two alloys contain platinum and gold in the ratio of 1:2 and 1:3 respectively. A third alloy C is formed by mixing alloys one and alloy two in the ratio of 3:4. Find the percentage of gold in the mixture a) 79.2/7% b) 71.2/7% c) 73.2/7% d) 71.3/7% e) None of these

Last Answer : Answer: D Platinum = 1/3 and 1/4 gold = 2/3 and 3/4 Alloy one and two are mixed in the ratio of 3:4, so ratio of platinum and gold in final ratio – 2:5 So gold % = (5/7)*100 71.3/7%

Equal quantities of 3 mixtures of milk and water are mixed in the ratio 1:3, 2:3 and 3:4.The ratio of water and milk in the new mixture is A) 45:76 B) 151:269 C) 123:154 D) 145:245 E) None of these

Description : Equal quantities of 3 mixtures of milk and water are mixed in the ratio 1:3, 2:3 and 3:4.The ratio of water and milk in the new mixture is A) 45:76 B) 151:269 C) 123:154 D) 145:245 E) None of these

Last Answer : Answer: B Milk = 1/4 : 2/5 :3/7 = 35/140 :56/140 : 60/140 Quantity of milk in new mix = 35+56+60 = 151 Quantity of water in new mix = 140*3 = 420-151 = 269 M:W = 151:269

Two jars having a capacity of 3 and 5 litres respectively are filled with mixtures of milk and water. In the smaller jar 25% of the mixture is milk and in the larger 25% of the mixture is water. The jars are emptied into a 10 litre cask whose remaining capacity is filled up with water. Find the percentage of milk in the cask. a) 55% b) 50% c) 45% d) 25% e) None of these

Description : Two jars having a capacity of 3 and 5 litres respectively are filled with mixtures of milk and water. In the smaller jar 25% of the mixture is milk and in the larger 25% of the mixture is water. The jars are emptied ... the percentage of milk in the cask. a) 55% b) 50% c) 45% d) 25% e) None of these

Last Answer : Answer: D 0.75+3.75=4.5/10+8*100=4.5/18*100=25%

The salary of two friends Ramu and Raju are in the ratio 4:5. If the salary of each one increases by Rs.6000, then the new ratio becomes 48:55. What is Raju's present salary? a) Rs.10500 b) Rs.10500 c) Rs.11500 d) Rs.12500

Description : The salary of two friends Ramu and Raju are in the ratio 4:5. If the salary of each one increases by Rs.6000, then the new ratio becomes 48:55. What is Raju's present salary? a) Rs.10500 b) Rs.10500 c) Rs.11500 d) Rs.12500

Last Answer : Answer : B Ratio their salary is 4:5 Let the original salary of Ramu and Raju be 4k and 5k respectively. After increasing Rs.6000, the ratio becomes 48:55 That is, (4k+6000)/(5k+6000) = 48/55 ... of Raju; that is, 5k. If 20k = 42000 then 5k = 10500. Hence the required answer is Rs.10500

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

Minimum weight of discuss for acceptance of a record (for men) (a) 1 kg. (b) 2 kg (c) 3 kg (d) 800 gms.

Description : Minimum weight of discuss for acceptance of a record (for men) (a) 1 kg. (b) 2 kg (c) 3 kg (d) 800 gms.

Last Answer : (b) 2 kg

Rs.432 is divided amongst three workers A, B and C such that 8 times A’s share is equal to 12 times B’s share which is equal to 6 times C’s share. How much did A get? A) Rs.192 B) Rs.133 C) Rs.144 D) Rs.128 E) None

Description : Rs.432 is divided amongst three workers A, B and C such that 8 times A’s share is equal to 12 times B’s share which is equal to 6 times C’s share. How much did A get? A) Rs.192 B) Rs.133 C) Rs.144 D) Rs.128 E) None

Last Answer : Answer: C 8 times AA's share = 12 times BB's share = 6 times CC's share Note that this is not the same as the ratio of their wages being 8:12:68:12:6 In this case, find out the L.C.M of 8, 12 and 6 and divide ... 2x + 4x = 432 => 9x = 432 or x = 48. Hence, A who gets 3x will get 3 * 48 = Rs.144.

A long iron rod initially at a temperature of 20°C has one end dipped in boiling water (100°C) at time, t = 0. The curved surface of the rod is insulated so that heat conduction is one dimensional in the axial direction. The temperature at a distance 100 mm from the dipped end becomes 40°C at time, t = 200 s. The same temperature is achieved at a distance of 200 mm from the dipped end at time (A) t = 283 s (B) t = 356 s (C) t = 400 s (D) t = 800 s

Description : A long iron rod initially at a temperature of 20°C has one end dipped in boiling water (100°C) at time, t = 0. The curved surface of the rod is insulated so that heat conduction is one dimensional in the axial direction. The ... = 283 s (B) t = 356 s (C) t = 400 s (D) t = 800 s

Last Answer : (D) t = 800 s

Ramana divides two sums of money among his four sons Ganesh, Mahesh, Anil and Sunil. The first sum is divided in the ratio 4: 3: 2: 1 and second in the ratio 5: 6: 7: 8. If the second sum is twice the first, the largest total is received by a) Ganesh b) Mahesh c) Anil d) Sunil e) Both Ganesh and Mahesh

Description : Ramana divides two sums of money among his four sons Ganesh, Mahesh, Anil and Sunil. The first sum is divided in the ratio 4: 3: 2: 1 and second in the ratio 5: 6: 7: 8. If the second sum is ... first, the largest total is received by a) Ganesh b) Mahesh c) Anil d) Sunil e) Both Ganesh and Mahesh

Last Answer : Answer: A Let the first sum be 4x, 3x, 2x, x Second sum be 5y, 6y, 7y, 8y The second sum is twice the first sum 26y = 20x; 13y = 10x Take y=10 x= 13 G:M:A:S 4X+5Y: 3X+6Y: 2X +7Y: X+8Y 102: 99: 96: 93

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 that of the truck. The tickets for the bus and the truck cost Re 1 and Re 1.50 respectively. What is the ratio of the average rupee collection of the truck to that of the bus in a day? Assume there is no wastage time between trips and the occupancy of the bus/truck is defined as the ratio of the actual number of persons boarding it and its capacity. a) 9:17 b) 17:9 c) 8:27 d) 27:8 e) None of these

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

Seats for Mathematics, Science and arts in a school are in the ratio 5:7:8. There is a proposal to increase these seats by X%, Y% and Z% respectively. And the ratio of increased seats is 2:3:4, which of the following is true? A) X = 50; Z = 40 B) Y = 40; Z = 50 C) X = 40; Z = 75 D) X = 50; Z = 40 E) Y = 50; X = 75

Description : Seats for Mathematics, Science and arts in a school are in the ratio 5:7:8. There is a proposal to increase these seats by X%, Y% and Z% respectively. And the ratio of increased seats is 2:3:4, which of the following is true? A) X = ... ; Z = 50 C) X = 40; Z = 75 D) X = 50; Z = 40 E) Y = 50; X = 75

Last Answer : Answer: C Number of increased seats are (140% of 5x), (150% of 7x) and (175% of 8x) i.e., (140/100 * 5x), (150/100 * 7x) and (175/100 * 8x) i.e., 7x, 21x/2 and 14x Required ratio = 7x:21x/2: ... of 8 = 6 total seats 8+6=14 Now compare ratios of all 7:21/2:14=>14:21:28 =>2:3:4

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

A bag contains 25p coins, 50p coins and 1 rupee coins whose values are in the ratio of 8:4:2.If the total values of coins is X and the total amount in rupees is Y,then which of the following is true A) X = 840; Y = 360 B) X = 966; Y = 345 C) X = 840; Y = 280 D) X = 740; Y = 260 E) None of these

Description : A bag contains 25p coins, 50p coins and 1 rupee coins whose values are in the ratio of 8:4:2.If the total values of coins is X and the total amount in rupees is Y,then which of the following is true A) X = 840; Y = 360 B) X = 966; Y = 345 C) X = 840; Y = 280 D) X = 740; Y = 260 E) None of these

Last Answer : Answer: A Value is given in the ratio 8:4:2. By option, (8x*0.25) + (4x*0.5) + (2x*1) = 840. So X=840 Y=360

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

Two numbers are respectively 40% and 60% more than than the third number. The ratio of the two number is A) 6:7 B) 7:8 C) 8:7 D) 7:5 E) None of these

Description : Two numbers are respectively 40% and 60% more than than the third number. The ratio of the two number is A) 6:7 B) 7:8 C) 8:7 D) 7:5 E) None of these

Last Answer : Answer: B Let third number = x (140/100)x = (7/5)x (160/100)x = (8/5)x (7/5) : (8/5) = 35 : 40 = 7 : 8

The ratio of salary of two persons X and Y is 5:8. If the salary of X increases by 60% and that of Y decreases by 35% then the new ratio of their salaries become 40:27. What is X's salary? a) Rs.15000 b) Rs.12000 c) Rs.19500 d) Data inadequate. e) NONE

Description : The ratio of salary of two persons X and Y is 5:8. If the salary of X increases by 60% and that of Y decreases by 35% then the new ratio of their salaries become 40:27. What is X's salary? a) Rs.15000 b) Rs.12000 c) Rs.19500 d) Data inadequate. e) NONE

Last Answer : Answer : D Ratio of salary of X and Y is 5:8 Let the original salary of X and Y be Rs.5k and Rs.8k respectively. After increasing 60%, new salary of X = 160% of 5k = 160x5k/100 = 80k/ ... does not give the value of k; so that we cannot find X's exact salary. Hence the answer is data inadequate.

Two cogged wheels of which one has 32 cogs and other 54 cogs, work into each other. If the latter turns 80 times in three quarters of a minute, how often does the other turn in 8 seconds? A) 48 B) 24 C) 38 D) 39 E) None of these

Description : Two cogged wheels of which one has 32 cogs and other 54 cogs, work into each other. If the latter turns 80 times in three quarters of a minute, how often does the other turn in 8 seconds? A) 48 B) 24 C) 38 D) 39 E) None of these

Last Answer : Answer: B  Number of turns required= 80 × 54/32 × 8/45 = 24 24 times

6 gm of carbon is burnt with an amount of air containing 18 gm oxygen. The product contains 16.5 gms CO2 and 2.8 gms CO besides other constituents. What is the degree of conversion on the basis of disappearance of limiting reactant? (A) 100% (B) 95% (C) 75% (D) 20%

Description : 6 gm of carbon is burnt with an amount of air containing 18 gm oxygen. The product contains 16.5 gms CO2 and 2.8 gms CO besides other constituents. What is the degree of conversion on the basis of disappearance of limiting reactant? (A) 100% (B) 95% (C) 75% (D) 20%

Last Answer : (B) 95%

AT Co makes a single product and is preparing its material usage budget for next year. Each unit of product requires 2kg of material, and 5,000 units of product are to be produced next year. Opening inventory of material is budgeted to be 800 kg and AT co budgets to increase material inventory at the end of next year by 20% The material usage budget for next year is (a) 8,000 Kg((b) 9,840 kg ((c) 10,000 Kg (d) 10,160 Kg no

Description : AT Co makes a single product and is preparing its material usage budget for next year. Each unit of  product requires 2kg of material, and 5,000 units of product are to be produced next year. Opening inventory of material is budgeted ... (a) 8,000 Kg((b) 9,840 kg ((c) 10,000 Kg (d) 10,160 Kg

Last Answer : ((c) 10,000 Kg

Ravi marked his Walkman at 60% above his cost price. If he had decreased his discount from 20% to 10%. he would have earned Rs.80 more. Find his cost price. a)640 b)600 c)500 d)800

Description : Ravi marked his Walkman at 60% above his cost price. If he had decreased his discount from 20% to 10%. he would have earned Rs.80 more. Find his cost price. a)640 b)600 c)500 d)800

Last Answer : c)500

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

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

In what ratio must a person mix three kinds of musted seeds costing Rs.65/kg, Rs.70/kg and Rs.105 /kg so that the resultant mixture when sold at Rs.96/kg yields a profit of 20%? a) 1:2:4 b) 3:7:6 c) 1:4:2 d)1:8:6 e) 40 : 8 : 25

Description :  In what ratio must a person mix three kinds of musted seeds costing Rs.65/kg, Rs.70/kg and Rs.105 /kg so that the resultant mixture when sold at Rs.96/kg yields a profit of 20%? a) 1:2:4 b) 3:7:6 c) 1:4:2 d)1:8:6 e) 40 : 8 : 25

Last Answer : E The resultant mixture is sold at a profit of 20% at Rs.96/kg i.e. 1.2 (cost) = Rs.96 => Cost = = Rs.80 / kg. Let the three varities be A, B, and C costing Rs.65, Rs.70 and Rs.105 respectively. The ... be mixed. A:C=4:5 B:C=2:5 The resultant ratio A : B : C :: 40 : 8 : 25. 

Number of students in 4th and 5th class is in the ratio 6 : 11. 40% in class 4 are girls and 48% in class 5 are girls. What percentage of students in both the classes are boys? A) 62.5% B) 54.8% C) 52.6% D) 55.8% E) 53.5%

Description : Number of students in 4th and 5th class is in the ratio 6 : 11. 40% in class 4 are girls and 48% in class 5 are girls. What percentage of students in both the classes are boys? A) 62.5% B) 54.8% C) 52.6% D) 55.8% E) 53.5%

Last Answer : Answer: B Total students in both = 6x+11x = 17x Boys in class 4 = (60/100)*6x = 360x/100 Boys in class 5 = (52/100)*11x = 572x/100 So total boys = 360x/100 + 572x/100 = 932x/100 = 9.32x % of boys = [9.32x/17x] * 100=54.8%

The ratio between the present age of Maha and Deepa is 5:X. Maha is 9yrs younger than Parveen.Parveen’s age after 9yrs will be 33yrs. The difference between the Deepa and Maha age is same as the present age of Parveen.Find X. a) 13 b) 10 c) 11 d) 14 e) None of these

Description : The ratio between the present age of Maha and Deepa is 5:X. Maha is 9yrs younger than Parveen. Parveen’s age after 9yrs will be 33yrs. The difference between the Deepa and Maha age is same as the present age of Parveen.Find X. a) 13 b) 10 c) 11 d) 14 e) None of these

Last Answer : Answer: A P present age = 33-9 = 24 M = 24 – 9 =15 D – M = 24 D – 15 = 24 D = 24+15 = 39 15:39 = 5:13 X = 13

Two vessels contains equal quantity of solution contains milk and water in the ratio of 7:2 and 4:5 respectively. Now the solutions are mixed with each other then find the ratio of milk and water in the final solution? A) 11:7 B) 11:6 C) 11:5 D) 11:9 E) None of these

Description : Two vessels contains equal quantity of solution contains milk and water in the ratio of 7:2 and 4:5 respectively. Now the solutions are mixed with each other then find the ratio of milk and water in the final solution? A) 11:7 B) 11:6 C) 11:5 D) 11:9 E) None of these

Last Answer : Answer: A milk = 7/9 and water = 2/9 – in 1st vessel milk = 4/9 and water = 5/9 – in 2nd vessel (7/9 + 4/9)/ (2/9 + 5/9) = 11:7

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

The ratio between the number of boys and girls in a school is 4:5. If the number of boys are increased by 30 % and the number of girls increased by 40 %, then what will the new ratio of boys and girls in the school. A) 13/35 B) 26/35 C) 26/41 D) 23/13 E) None of these

Description : The ratio between the number of boys and girls in a school is 4:5. If the number of boys are increased by 30 % and the number of girls increased by 40 %, then what will the new ratio of boys and girls in the school. A) 13/35 B) 26/35 C) 26/41 D) 23/13 E) None of these

Last Answer : Answer: B boys = 4x and girls = 5x. Required ratio = [(130/100)*4x]/ [(140/100)*5x] 26/35

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

Description : 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 

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

A sum of 12600 is to be distributed between A, B and C. For every rupee A gets, B gets 80p and for every rupee B gets, C get 90 paise. Find the amount get by C. A) 3200 B) 3600 C) 4200 D) 4600 E) None of these

Description : A sum of 12600 is to be distributed between A, B and C. For every rupee A gets, B gets 80p and for every rupee B gets, C get 90 paise. Find the amount get by C. A) 3200 B) 3600 C) 4200 D) 4600 E) None of these

Last Answer : Answer: B Ratio of money between A and B – 100:80 and that of B and C – 100:90 so the ratio between A : B :C – 100:80:72 so 252x = 12600, x = 50. So C get = 50*72 = 3600