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

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
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1 Answer

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 divide 12

exactly. From the given choices, we add up terms of each ratio to check, if they divide 12 or not.

For 2 : 1, 2 + 1 = 3, which divides 12

For 7 : 5, 7 + 5 = 12, which divides 12

For 1 : 5, 1 + 5 = 6, which divides 12

For 11 : 1, 11 + 1 = 12, which divides 12

But for 3 : 2, 3 + 2 = 5, which does not divides 12.

Hence, 3 : 2 cannot be the ratio.

For dividing 12 into two whole numbers the sum of the terms of the ratio must be a factor of 12. So they

cannot be in the ratio of 3 : 2
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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

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Description : 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 

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. 

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A little girl goes to the store and buys one dozen eggs. As she is going home, all but three break. How many eggs are left unbroken? -Riddles

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Last Answer : Three eggs are left unbroken.

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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

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Description : The sum of the squares between three numbers is 5000. The ratio between the first and the second number is 3:4 and that of second and third number is 4:5. Find the difference between first and the third number. A) 20 B) 30 C) 40 D) 50 E) None of these

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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

180 sweets are divided among friends A, B, C and D in which B and C are brothers also such that sweets divided between A and B are in the ratio 2 : 3, between B and C in the ratio 2 : 5 and between C and D in ratio 3 : 4. What is the number of sweets received by the brothers together? A) 78 B) 84 C) 92 D) 102 E) 88

Description : 180 sweets are divided among friends A, B, C and D in which B and C are brothers also such that sweets divided between A and B are in the ratio 2 : 3, between B and C in the ratio 2 : 5 and between C ... . What is the number of sweets received by the brothers together? A) 78 B) 84 C) 92 D) 102 E) 88

Last Answer : Answer: B A : B : C : D 2*2*3 : 3*2*3 : 3*5*3 : 3*5*4 4 : 6 : 15 : 20 B and C together = [(6+15)/(4+6+15+20)] * 180 = 84

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

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

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

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

The sum of the three number is 68.If the ratio of the first to second is 3:2 and that of the second to the third is 5:3 , then the second number is approximately A) 21 B) 22 C) 23 D) 24 E) None of these

Description : The sum of the three number is 68.If the ratio of the first to second is 3:2 and that of the second to the third is 5:3 , then the second number is approximately A) 21 B) 22 C) 23 D) 24 E) None of these 

Last Answer : Answer: B A: B = 3:2 B:C = 5 : 3 B:C =(5×[2/5]) : (3×[2/5])= 2: (6/5) A:B:C = 3:2:(6/5) = 15:10:6 Second number = (10/31)×68 = 21.9 = 22

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 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 

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

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

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

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.

The number of candidates writing three different entrance exams is in the ratio 4:5:6. There is a proposal to increase these numbers of candidates by 40%, 60% and 85% respectively. What will be the ratio of increased numbers? a) 14:15:16 b) 12:15:19 c)13:19:21 d) 14:16:19 E) None of these

Description : The number of candidates writing three different entrance exams is in the ratio 4:5:6. There is a proposal to increase these numbers of candidates by 40%, 60% and 85% respectively. What will be the ratio of increased numbers? a) 14:15:16 b) 12:15:19 c)13:19:21 d) 14:16:19 E) None of these

Last Answer : Answer : E Given ratio of number of candidates is 4:5:6 Let the number of candidates for 3 exams be 4k, 5k and 6k respectively. After increasing, number of candidates become (140% of 4k), (160% of 5k) & (185% ... 111k/10 Now, the required new ratio is: 56k/100 : 80k/10 : 111k/10 = 56 : 80 : 111

The ratio of incomes of Pankaj and Gauri is 3:5 and the ratio of their expenditures is 2:3. Who does save more? (You have to assume that no one takes any loan from anywhere) A) Pankaj B) Gauri C) Both save equally D) Depends upon the incomes of Pankaj and Gauri E) NONE

Description : The ratio of incomes of Pankaj and Gauri is 3:5 and the ratio of their expenditures is 2:3. Who does save more? (You have to assume that no one takes any loan from anywhere) A) Pankaj B) Gauri C) Both save equally D) Depends upon the incomes of Pankaj and Gauri E) NONE

Last Answer : pankaj

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.

Rs 4830 is divided among Abhishek, Dishant and Prashant such that if Abhishek's share diminishes by Rs 5, Dishant's share diminishes by Rs 10 and Prashant's share diminishes by Rs 15, their shares will be in the ratio 5:4:3. Find the Dishant's original share A) 1610 B) 2010 C) 2410 D) 1590 E) NONE

Description : Rs 4830 is divided among Abhishek, Dishant and Prashant such that if Abhishek's share diminishes by Rs 5, Dishant's share diminishes by Rs 10 and Prashant's share diminishes by Rs 15, their shares will be in the ratio 5:4:3. Find the Dishant's original share A) 1610 B) 2010 C) 2410 D) 1590 E) NONE

Last Answer : Answer: A Let actual share of Abhishek, Dishant and Prashant be A, D , P respectively. A+D+P=4830 Hence, A's, D's and P's share are diminished by Rs 5, Rs 10 and Rs 15, their net share ... . Dishant's diminished share = (4/12) * 4800 = Rs1600 Hence, Dishant actual share =Rs1600+Rs10= Rs 1610.

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 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

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%

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

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