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

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
by

1 Answer

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
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Related questions

In a pocket of A, the ratio of Rs.1 coins, 50p coins and 25p coins can be expressed by three consecutive odd prime numbers that are in ascending order. The total value of coins in the bag is Rs 58. If the number of Rs.1, 50p, 25p coins are reversed, find the new total value of coins in the pocket of A? A) Rs 68 B) Rs 43 C) Rs 75 D) Rs 82 E) NONE

Description : In a pocket of A, the ratio of Rs.1 coins, 50p coins and 25p coins can be expressed by three consecutive odd prime numbers that are in ascending order. The total value of coins in the bag is Rs 58. If the number of Rs.1 ... of coins in the pocket of A? A) Rs 68 B) Rs 43 C) Rs 75 D) Rs 82 E) NONE

Last Answer : Answer: D  Since the ratio of the number of Rs. 1, 50p and 25p coins can be represented by 3 consecutive odd numbers that are prime in ascending order, the only possibility for the ratio is 3:5:7. Let the number of ... =100 7k+50 5k+25 3k=1025k (In above we find the value of k). ⇒ 8200p = Rs 82.

In a bag there are coins of 25p, 10p and 5p in the ratio 1:2:3.If there are Rs.45 in all then find how many 25p coins are there? A) 60 B) 65 C) 70 D) 75 E) None of these

Description : In a bag there are coins of 25p, 10p and 5p in the ratio 1:2:3.If there are Rs.45 in all then find how many 25p coins are there? A) 60 B) 65 C) 70 D) 75 E) None of these

Last Answer : Answer: D [(25x) + (10x × 2) + (5x × 3)] / 100 = 45 [25x + 20x + 15x] / 100 = 45 60 x = 4500 X = 4500/60 = 75

A bag contains one rupee, 50 paise and 25 paise coins in the ratio 2 : 3 : 5. Their total value is Rs. 144. The value of 50-paise coins is: a) Rs. 24 b) Rs. 36 c) Rs. 48 d) Rs. 72 e) None of these

Description : A bag contains one rupee, 50 paise and 25 paise coins in the ratio 2 : 3 : 5. Their total value is Rs. 144. The value of 50-paise coins is: a) Rs. 24 b) Rs. 36 c) Rs. 48 d) Rs. 72 e) None of these

Last Answer : Answer: B Sol. Let the number of one-rupee coins, 50-paise coins and 25-paise coins be 2k, 3k and 5k, respectively. ∴ 2k × 1 + 3k × 0.50 + 5k × 0.25 = 114 ⇒ 2k + 1.50k + 1.25k = 114  ⇒ 4.75k = 114 ⇒ k = 24. 50 paise value = 1.5x = 1.5*24 = 36

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

Description : 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 ... in Rs, collected from the second class passengers. A) 240 B) 360 C) 480 D) 120 E) None

Last Answer : Answer: D Let the number of passengers travelling by first class and second class be x and 3x respectively. Lets the fares collected from each of the first class and second class passengers be 30y and y ... 3xy=33xy=1320 xy=40. Total amount collected from the second class =3xy=3 40= Rs 120.

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

A bag contains an equal number of one rupee, 50 paise and 25 paise coins. If the total amount in the bag is Rs. 35, how many coins of each type are there ? (A) 15 (B) 18 (C) 20 (D) 25

Description : A bag contains an equal number of one rupee, 50 paise and 25 paise coins. If the total amount in the bag is Rs. 35, how many coins of each type are there ? (A) 15 (B) 18 (C) 20 (D) 25

Last Answer : Answer: C

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

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

Mr. Shrimant inherits 4325 gold coins and divides them among his three sons; Bharat, Parat and Marat; in a certain ratio. Out of the total coins received by each of them, Bharat sells 40 coins; Parat donates his 20 coins and Marat loses 30 coins. Now, the ratio of gold coins with them is 41:34:46, respectively. How many coins did Parat receive from his father? a) 1210 b) 1211 c) 1212 d) 1213 e) None of these

Description : Mr. Shrimant inherits 4325 gold coins and divides them among his three sons; Bharat, Parat and Marat; in a certain ratio. Out of the total coins received by each of them, Bharat sells 40 coins; Parat donates his ... did Parat receive from his father? a) 1210 b) 1211 c) 1212 d) 1213 e) None of these 

Last Answer : Answer: A 41x+40+34x+20+46x+30=4325 =>121x=4325-90 =>x=35 Required answer, number of coins received by parat =34x+20=34×35+20=1210

A school has 4 sections of class 12, such that half the number of students of 1st section, 1/3rd of 2nd section, 1/4th of 3rd section and 1/5th of the 4th section are equal. If total number of students in class 12 is 420, find the number of students in sections 1st and 2nd. A) 180 B) 120 C) 240 D) 150 E) 260

Description : A school has 4 sections of class 12, such that half the number of students of 1st section, 1/3rd of 2nd section, 1/4th of 3rd section and 1/5th of the 4th section are equal. If total number of students in ... find the number of students in sections 1st and 2nd. A) 180 B) 120 C) 240 D) 150 E) 260

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A purse contains one-rupee, 50 paise ad 25 paise coins in the ratio 4:3:6. fi the total amount in the purse is Rs 28, then find the number of 50 paise

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Last Answer : A purse contains one-rupee, 50 paise ad 25 paise coins in the ratio 4:3:6. fi the total amount ... the number of 50 paise coins present in the purse.

A sum of Rs 315 consists of 25 paise, 50 paise and 1 Re coins in the ratio 3 : 4 :6. What is the number of each kind of coin respectively? A) 216, 144, 27 B) 108, 144, 216 C) 27, 72, 216 D) 120, 35, 108 E) 102, 150, 210

Description :  A sum of Rs 315 consists of 25 paise, 50 paise and 1 Re coins in the ratio 3 : 4 :6. What is the number of each kind of coin respectively? A) 216, 144, 27 B) 108, 144, 216 C) 27, 72, 216 D) 120, 35, 108 E) 102, 150, 210

Last Answer : Answer: B 25 paise = 25/100 Rs, 50 paise = 50/100 Rs So value ratio of these coins become = 3*(25/100) : 4*(50/100) : 6*(1) = 3/4 : 2 : 6 = 3 : 8 : 24 So 25 paise coins value= [3/(3+8+24)] * ... 100/50) = 144 So 1 paise coins value= [24/(3+8+24)] * 315 = Rs 216, so coins = 215 * (100/100) = 216

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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 ratio of income of X and Y is 4:3. The sum of their expenditure is Rs.12,000 and the amount of savings is X is equal to the amount of expenditure of Y.What is the salary of Y? A) 9000 B) 7000 C) 12000 D) 15000 E) None of these

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Last Answer : Answer: A X’s saving = Expenditure of Y = S 4x-S + S = 12000 X = 3000 3x =3*3000 = 9000

An amount of money is to be distributed among P, Q and R in the ratio of 5:4:7 respectively. If the total share of P and R is 3 times the share of Q, what is definitely Q’s share? a) 2000 b) 4000 c) 6000 d) Data inadequate e) None of these

Description : An amount of money is to be distributed among P, Q and R in the ratio of 5:4:7 respectively. If the total share of P and R is 3 times the share of Q, what is definitely Q’s share? a) 2000 b) 4000 c) 6000 d) Data inadequate e) None of these

Last Answer : Answer: D 

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

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

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

Nucleic acid show strong absorption at one of the wavelength: (A) 280 nm (B) 220 nm (C) 360 nm (D) 260 nm

Description : Nucleic acid show strong absorption at one of the wavelength: (A) 280 nm (B) 220 nm (C) 360 nm (D) 260 nm

Last Answer : Answer : D

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

One year ago the ratio between rahul salary and rohit salary is 4:5. The ratio between their individual salary of the last year and current year is 2:3 and 3:5 respectively. If the total current salary of rahul and rohit is 4300. Then find the current salary of rahul. a) 1200 b) 1800 c) 2400 d) 3600 e) None of these

Description : One year ago the ratio between rahul salary and rohit salary is 4:5. The ratio between their individual salary of the last year and current year is 2:3 and 3:5 respectively. If the total current salary of rahul ... find the current salary of rahul. a) 1200 b) 1800 c) 2400 d) 3600 e) None of these

Last Answer : Answer: B 4x and 5x is the last year salry of rahul and rohit respectively Rahul last year to rahul current year = 2/3 Rohit last year to rohit current year = 3/5 Current of rahul + current of rohit = 4300 (3/2)*4x + (5/3)*5x = 4300. X = 300. So rahul current DDsalary = 3/2 * 4* 300 = 1800

The students in three classes are in the ratio 4 : 6 : 9. If 12 students are increased in each class, the ratio changes to 7 : 9 : 12. Then the total number of students in the three classes before the increase is: a) 95 b) 76 c) 100 d) 114 e) None of these

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Last Answer : Answer: B Let originally were 4x, 6x and 9x student there in classes receptively. After 12 students increase in each student then students were 7x, 9x and 12x in each class respectively. Now, Total Students = 7x + 9x ... number of student in three classes, = 4x + 6x + 9x = 19x = 19 * 4 = 76. 

The price of a diamond is proportional to the square of its weight. The diamond accidentally fell and broke into four pieces whose weights are in the ratio of 1:2:3:4. If the price fetched is Rs. 70,000 less than the original price, find the original price? a) Rs. 100,000 b) Rs. 70,000 c) Rs. 160,000 d) Rs. 10800 e) Rs. 150,000

Description : The price of a diamond is proportional to the square of its weight. The diamond accidentally fell and broke into four pieces whose weights are in the ratio of 1:2:3:4. If the price fetched is Rs. 70,000 less than the ... a) Rs. 100,000 b) Rs. 70,000 c) Rs. 160,000 d) Rs. 10800 e) Rs. 150,000

Last Answer : Answer: A let price of diamond as kx^2 where k is a constant total price for 4 pieces kx^2[1+4+9+16]=30kx^2 price of original diamond=100kx^2 difference 70kx^2=$70000 or kx^2=1000 original price of the diamond=100*1000=100000

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

Determine the ratio of the number of people having characteristic X to the number of people having characteristic Y in a population of 100 subjects from the following table People having X and Y are 20 People having X but not Y are 10 People having Y but not X are 30 People having neither X nor Y are 40. a) 3 : 5 b) 3 : 2 c) 1 : 2 d) 2 : 3 e) None of these

Description : Determine the ratio of the number of people having characteristic X to the number of people having characteristic Y in a population of 100 subjects from the following table People having X and Y are 20 People having X but not Y are 10 ... 3 : 5 b) 3 : 2 c) 1 : 2 d) 2 : 3 e) None of these

Last Answer : Answer: A Number of people having characteristic X = 10 + 20 = 30 Number of people having characteristic Y = 20 + 30 = 50 Therefore Required ratio = 30 : 50 = 3 : 5

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 

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

If a certain amount X is divided among A, B, C in such a way that A gets 2/3 of what B gets and B gets 1/3 of what C gets, which of the following is true A) C’s Share = 1053 and X = 1666 B) A’s Share = 238 and X = 1638 C) B’s Share = 234 and X = 1666 D) C’s Share = 1053 and X = 1638 E) A’s Share = 351 and X = 1638

Description : If a certain amount X is divided among A, B, C in such a way that A gets 2/3 of what B gets and B gets 1/3 of what C gets, which of the following is true A) C's Share = 1053 and X = 1666 B) A's Share = ... s Share = 234 and X = 1666 D) C's Share = 1053 and X = 1638 E) A's Share = 351 and X = 1638

Last Answer : Answer: D A= 2/3 B; B= 1/3C; A:B = 2:3 ; B:C = 1:3; A:B:C = 2:3:9 C = 9/14 * 1638 = 1053 X=1638

You are cruising at FL 200, OAT is -40°C, sea level pressure is 1033 hPa. Calculate the true altitude. a. 20,660 ft b. 21,740 ft c. 18,260 ft d. 19, 340 ft

Description : You are cruising at FL 200, OAT is -40°C, sea level pressure is 1033 hPa. Calculate the true  altitude.  a. 20,660 ft  b. 21,740 ft  c. 18,260 ft  d. 19, 340 ft

Last Answer : d. 19, 340 ft

You are cruising at FL 200, OAT is -40°C, sea level pressure is 1033 hPa. Calculate the true altitude. a. 20,660 ft b. 21,740 ft c. 18,260 ft d. 19, 340 ft

Description : You are cruising at FL 200, OAT is -40°C, sea level pressure is 1033 hPa. Calculate the true altitude. a. 20,660 ft b. 21,740 ft c. 18,260 ft d. 19, 340 ft

Last Answer : d. 19, 340 ft

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

The incomes of A and B are in the ratio 1 : 2 and their expenditures are in the ratio 2 : 5. If A saves Rs 20,000 and B saves Rs 35,000, what is the total income of A and B? A) Rs 30,000 B) Rs 70,000 C) Rs 90,000 D) Rs 60,000 E) Rs 80,000

Description : The incomes of A and B are in the ratio 1 : 2 and their expenditures are in the ratio 2 : 5. If A saves Rs 20,000 and B saves Rs 35,000, what is the total income of A and B? A) Rs 30,000 B) Rs 70,000 C) Rs 90,000 D) Rs 60,000 E) Rs 80,000

Last Answer : Answer: C Income of A = x, of B = 2x Expenditure of A = 2y, of B = 5y Savings is (income – expenditure). So x – 2y = 20,000 2x – 5y = 35,000 Solve the equations, x = 30,000 So total = x+2x = 3x = 3*30,000 = 90,000

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

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

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)

One year ago, the ratio between A's and B's salary was 4:5. The ratio of their individual salaries of last year and present year are 3:5 and 2:3 respectively. If their total salaries for the present year is Rs 6800, the present salary of A is A) Rs 4080 B) Rs 3200 C) Rs 4533.40 D) Rs 2720 E) NONE

Description : One year ago, the ratio between A's and B's salary was 4:5. The ratio of their individual salaries of last year and present year are 3:5 and 2:3 respectively. If their total salaries for the present year is Rs 6800, the present salary of A is A) Rs 4080 B) Rs 3200 C) Rs 4533.40 D) Rs 2720 E) NONE

Last Answer : Answer: B Given, the Ratio of A's last year and present year salary = 3:5. Let salary be 3x and 5x respectively. Also, the Ratio of B's in last year and present year salary = 2:3 Let salary be 2y and 3y ... i) and (ii), we get :- y=1200 and x=640. Hence, A's present salary is 5x=5 640=3200.

One year ago the ratio between Laxman and Gopal salary was 3:4. The individual ratios between their last year’s and this year’s salary are 4:5 and 2:3 respectively. At present the total of their salary is Rs.4160. The salary of laxman now is? a) 1800 b) 1500 c) 2160 d) 2560 e) 1600

Description : One year ago the ratio between Laxman and Gopal salary was 3:4. The individual ratios between their last year’s and this year’s salary are 4:5 and 2:3 respectively. At present the total of their salary is Rs.4160. The salary of laxman now is? a) 1800 b) 1500 c) 2160 d) 2560 e) 1600

Last Answer : Answer: E Let the salaries of Laxman and Gopal one year before be x1 ,y1 respectively. ∴ x1/y1 = 3/4 ......(1) x2 + y2 = 4160 .....(2)  From equations (1) and (2) x2 = Rs. 1600.

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

The value for the ΔU of a system is -120 J. If the system is known to have absorbed 420 J of heat, how much work was done?  a. -540 J  b. -640 J  c. -740 J  d. -840 J formula: ΔU = q +w

Description : The value for the ΔU of a system is -120 J. If the system is known to have absorbed 420 J of heat, how much work was done?  a. -540 J  b. -640 J  c. -740 J  d. -840 J formula: ΔU = q +w

Last Answer : -540 J

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

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

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

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

The sum of three numbers is 210. If the ratio between the first and second number be 2:3 and that between the second and third be 4:5, then the difference between the first and third number? a) 21 b) 35 c) 42 d) 56 e) None of these

Description : The sum of three numbers is 210. If the ratio between the first and second number be 2:3 and that between the second and third be 4:5, then the difference between the first and third number? a) 21 b) 35 c) 42 d) 56 e) None of these

Last Answer : Answer: C a: b = 2:3 and b:c = 4:5 a:b:c = 8:12:15 Difference between first and third number = (7/35)*210 = 42

Rs 5750 is divided among A, B, and C such that if their share be reduced by Rs 10, Rs 15 and Rs 25 respectively, the reminder amounts with them shall be in the ratio 4 : 6 : 9. What was C’s share then? A) Rs 2700 B) Rs 2725 C) Rs 2750 D) Rs 2625 E) None of these

Description : Rs 5750 is divided among A, B, and C such that if their share be reduced by Rs 10, Rs 15 and Rs 25 respectively, the reminder amounts with them shall be in the ratio 4 : 6 : 9. What was C’s share then? A) Rs 2700 B) Rs 2725 C) Rs 2750 D) Rs 2625 E) None of these

Last Answer : Answer: B When the shares reduce, the total amount will also reduce which is to be divided among them. So after reducing shares by Rs 10, Rs 15 and Rs 25 respectively, total amount is 5750 - (10+15+25) = ... share shall be [9/(4+6+9)] * 5700 = 2700 Actually C would have received = 2700 + 25=2725

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