PREPARATORY QUESTIONS

APPLICATION SUMS (QUANTS)

RATIO AND PROPORTION SET-I

Question No : 1

(1) A, Rs.28

(2) B, Rs.3

(3) C, Rs.20

(4) C, Rs.25

(5) None of these

Question No : 2

If the ratio of incomes of A and B in 2001 is 2 : 3 and the ratio of incomes of A in 2001 and 2002 is  4 : 5. Find the expenditure of A in 2002, if saving in the same year is Rs.4000. It is given that in 2001 the sum of income of A and B is Rs.25000.

(1) Rs.5000

(2) Rs.10500

(3) Rs.9500

(4) Rs.7500

(5) Rs.8500

Question No : 3

Rs.33630 are divided among A, B and C in such a manner that the ratio of the amount of A to that of B is 3 : 7 and the ratio of the amount of B to that of C is 6 : 5. The amount of money received by B is

(1) Rs.14868

(2) Rs.16257

(3) Rs.13290

(4) Rs.12390

(5) None of these

Question No : 4

A man leaves Rs.8600 to be divided among 5 sons, 4 daughters and 2 nephews, if each daughter receives four times as much as each nephew and each son receives five times as much as each nephew, how much does each daughter receive?

(1) 100

(2) 600

(3) 800

(4) 1000

(5) None of these

Question No : 5

Amounts invested by Ajith and Suresh are in the ratio of 4 : 7 respectively. If the total amount invested by the persons together is Rs.49,500, what is the amount invested by Suresh?

(1) Rs.31,500

(2) Rs.18,000

(3) Rs.31,000

(4) Rs.18,500

(5) None of these

Question No : 6

A watermelon is cut into 2 pieces as their weight are in ratio of 5 : 7. The bigger part is also cut into two places as their weight are in ratio 2 : 3. Calculate the ratio of the weight of final three places.

(1) 25 : 9 : 18

(2) 21 : 25 : 10

(3) 25 : 14 : 21

(4) 13 : 23 : 27

(5) None of these

Question No : 7

One year ago the ratio between Maneela’s and Shanthi’s salary was 3 : 4. The ratios of their individual salaries between last year’s and this year’s salaries are 4 : 5 and 2 : 3 respectively. At present the total of their salary is Rs.4160. The salary of Maneela now is?

(1) 1600

(2) 1700

(3) 1800

(4) 1500

(5) None of these

Question No : 8

The total number of students in a school is 31700. If the ratio of boys to the girls in the school is 743 : 842 respectively, what is the total number of girls in the school?

(1) 14860

(2) 16840

(3) 15340

(4) 20240

(5) None of these

Question No : 9

(1) 27

(2) 36

(3) 48

(4) 64

(5) None of these

 

Question No : 10

A sum of money is divided among A, B, C and D in the ratio of 3 : 4 : 9 : 10 respectively. If the share of B is Rs.2580 less than the share of C, then what is the total amount of money of A and D together?

(1) Rs.5676

(2) Rs.6192

(3) Rs.6708

(4) Rs.7224

(5) None of these

Question No : 11

(1) 13 cm

(2) 15 cm

(3) 12 cm

(4) 11 cm

(5) None of these

Question No : 12

Rs.5625 is to be divided among A, B and C, so that A may receive 1/2 as much as B and C together receive and B receives 1/4 of what A and C together receive. Find how much C gets.

(1) Rs.2625

(2) Rs.1875

(3) Rs.1125

(4) Rs.4500

(5) None of these

Question No : 13

(1) Rs.16000

(2) Rs.20000

(3) Rs.22000

(4) Rs.14000

(5) None of these

Question No : 14

In a village A, number of male is twice number of female. Ratio of the male in village A and village B is 1 : 3. If the number of female in village B is 78 and total population in both villages is 978. What is the number of female in village A?

(1) 100

(2) 250

(3) 150

(4) 200

(5) None of these

Question No : 15

Ratio of the present age of A and B is 4 : 5 and the ratio of present age of A and C is 8 : 9. If the difference between the age of A and C is 5 years, then find the sum of the ages of A, B and C after 11 years.

(1) 168 years

(2) 192 years

(3) 184 years

(4) 144 years

(5) None of these

Question No : 16

A total of 91 boys are seated in three rows. The ratio between the number of boys seated in the first and the second row is 5 : 2 respectively and the ratio between the number of boys seated in the second and the third row is 1 : 3 respectively. How many boys were there in the 2nd row?

(1) 56

(2) 14

(3) 42

(4) 35

(5) None of these

Question No : 17

(1) 72, 84, 108 

(2) 60, 72, 96

(3) 72, 84, 96  

(4) 72, 96, 108

(5) None of these

Question No : 18

(1) 5000

(2) 7500

(3) 10000

(4) 12500

(5) None of these

Question No : 19

The ratio between the speed of a car and a train is 15 : 22 respectively. If the speed of the train is 35 km/h more than the speed of the car then what is the speed of the car

(1) 70 km/hr

(2) 80 km/hr

(3) 78 km/hr

(4) 75 km/hr

(5) None of these

Question No : 20

Some money is divided among A, B and C in such a way that 5 times A’s share, 3 times B’s share and 2 times C’s share are all equal. The ratio between the shares of A, B and C is:

(1) 5 : 3 : 2

(2) 2 : 2 : 5

(3) 6 : 10 : 15

(4) 15 : 10 : 6

(5) None of these

Question No : 21

To divide an income between A, B and C in the ratio of 8 : 5 : 8, if the total share of A and B is Rs.500 more than the share of C, then the share of A is

(1) 800

(2) 900

(3) 1000

(4) 700

(5) None of these

Question No : 22

Rs.1870 has been divided into three parts in such away that half of the first parts, one-third of the second parts, and one-sixth of the third parts are equals. The third part is?

(1) Rs.510

(2) Rs.1020

(3) Rs.850

(4) Rs.680

(5) None of these

Question No : 23

A dog takes 3 leaps for every 5 leaps of a hare. If one leap of the dog is equal to 3 leaps of the hare, the ratio of the speed of the dog to that of the hare is:

(1) 3 : 5

(2) 5 : 3

(3) 9 : 5

(4) 5 : 1

(5) None of these

Question No : 24

The ratio of the age of A and B is 2 : 5 and ratio of the age of B and C is 3 : 4. What is the ratio of the age of A, B and C?

(1) 7 : 5 : 9

(2) 6 : 15 : 20

(3) 8 : 9 : 12

(4) 15 : 20 : 6

(5) None of these

Question No : 25

Two ratio of income and expenditure of person is 11 : 10. If he saves Rs.9000 per annum, his monthly income is?

(1) Rs.8000

(2) Rs.8800

(3) Rs.8500

(4) Rs.8250

(5) None of these

Question No : 26

In an election to a municipal council, the votes secured by two candidates are in the ratio 13 : 19. The elected candidate gets 312 votes more than the second candidate. How many votes are secured by the second candidate?

(1) 676

(2) 4056

(3) 5928

(4) 988

(5) None of these

Question No : 27

A certain sum is to be divided among A, B and C in the ratio of 8 : 5 : 8 respectively. If the share of A and B together is Rs.500 more than that of C’s share, then find the share of A.

(1) Rs.800

(2) Rs.500

(3) Rs.600

(4) Rs.700

(5) None of these

 

Question No : 28

An amount of Rs.1250 is distributed among A, B and C in the ratio of 4 : 7 : 14. What is the ratio between the difference of shares of B and A and the difference of shares of C and B?

(1) 7 : 3

(2) 2 : 7

(3) 3 : 7

(4) 7 : 2

(5) None of these

Question No : 29

If the positions of the digits of a two digit number are interchanged, the number newly formed is smaller than the original number by 45. Also, the ratio between new number and the original number is 3 : 8 respectively. What is the original number?

(1) 61

(2) 83

(3) 94

(4) 72

(5) None of these

Question No : 30

The respective ratio between Seema’s, Meena’s and Devi’s monthly income is 95 : 110 : 116. If Seema’s annual income is Rs.3,42,000/-, what is Devi’s annual income? (In some cases monthly income and in some cases annual income is used.)

(1) Rs.3,96,000

(2) Rs.5,63,500

(3) Rs.4,17,600

(4) Rs.3,88,000

(5) None of these

Question No : 31

The respective ratio between Pooja’s, Preethi’s and Sudha’s monthly income is 53 : 70 : 57. If Preethi’s annual income is Rs.4,20,000/-, what is the sum of Pooja’s and Sudha’s annual incomes? (In some cases monthly income and in some cases annual income is used.)

(1) Rs.5,92,500   

(2) Rs.6,83,500

(3) Rs.6,60,000

(4) Rs.7,79,200

(5) None of these

Question No : 32

A, B and C divided an amount of Rs.4200 amongst themselves in the ratio of 7 : 8 : 6 respectively. If an amount of Rs.200 is added to each of their shares, what will be the new respective ratio of their shares of amount?

(1) 8 : 9 : 6

(2) 7 : 9 : 5

(3) 7 : 8 : 6

(4) 8 : 9 : 7

(5) None of these

Question No : 33

Amit, Sumit and Vinit divide an amount of Rs.2800 among themselves in the ratio of 5 : 6 : 3 respectively. If an amount of Rs.200 is added to each of their shares, what will be the new respective ratio of their shares of the amount?

(1) 8 : 9 : 6

(2) 6 : 7 : 4

(3) 7 : 8 : 5

(4) 4 : 5 : 2

(5) None of these

Question No : 34

950 kg of grains is to be distributed among A, B and C in such a way that their shares have the following ratio A : B = 1 : 2 and B : C = 3 : 5. Find the share of C.

(1) 150

(2) 300

(3) 450

(4) 500

(5) None of these

Question No : 35

Rs.280 is divided amongst P, Q and R, so that if P gets Rs.2, Q gets Rs.3 and if Q gets Rs.4, R gets Rs.5. What is the share of R?

(1) Rs.96

(2) Rs.120

(3) Rs.100

(4) Rs.60

(5) None of these

Question No : 36

Two-third of Ajith’s salary is equal to Eswar’s salary and three-fifth of Eswar’s salary is equal to Srinath’s salary. If the sum of the salary of all of them is Rs.62000, then, how much is Eswar’s salary?

(1) Rs.30000

(2) Rs.28000

(3) Rs.12000

(4) Rs.20000

(5) None of these

Question No : 37

A sum of Rs.12540 is to be distributed among ‘A’, ‘B’ and ‘C’ such that ‘A’ receives 3/7th of what ‘B’ and ‘C’ receive together and ‘B’ receives 2/9th of what ‘A’ and ‘C’ receive together. What is the difference in the amount received by ‘A’ and ‘B’?

(1) Rs.2280

(2) Rs.3762

(3) Rs.1482

(4) Rs.2540

(5) None of these

Question No : 38

A and B together have Rs.1210. If 4/15th of A’s amount is equal to 2/5th of B’s amount, how much amount does B have?

(1) Rs.460

(2) Rs.484

(3) Rs.550

(4) Rs.664

(5) None of these

Question No : 39

One-fifth of a person’s savings in National Savings Certificate (NSC) is equal to one-fourth of his savings in Public Provident Fund. If his total savings are Rs.1,44,000/-. What are the savings in NSC?

(1) Rs.72,000

(2) Rs.16,000

(3) Rs.64,000

(4) Rs.80,000

(5) Rs.6,222.2

Question No : 40

Amar, Bhavan and Chetan divide an amount of Rs.5600 among themselves in the ratio 3 : 6 : 5. If an amount of Rs.400 is deducted from each of their shares, what will be the new ratio of their shares of the amount?

(1) 4 : 7 : 6

(2) 1 : 4 : 3

(3) 2 : 5 : 4

(4) 5 : 11 : 9

(5) None of these

Question No : 41

A man divides his property so that his son’s share to his wife and the wife’s share to his daughter are both in the ratio 3 : 1. If the daughter gets Rs.10,000 less than the son, find the total worth of the property.

(1) Rs.12,500

(2) Rs.37,500

(3) Rs.16,250

(4) Rs.12,500

(5) None of these

Question No : 42

Arun, Prem and Kannan started a business in partnership. The amount invested in the business by Arun and Prem are in the ratio 2 : 3, whereas it is in the ratio 1 : 2 for Prem and Kannan. If the profit in the business is Rs.26950, what is the difference between the profit received by Arun and Kannan?

(1) Rs.3450

(2) Rs.9800

(3) Rs.7350

(4) Rs.5000

(5) None of these

Question No : 43

Shyam has money that is equal to 2/3rd of the money with Mohan. Money with Mohan is equal to 3/5th of the money with Raju. If Raju has Rs.800, what is the money with Shyam?

(1) Rs.533.33

(2) Rs.480

(3) Rs.320

(4) Rs.720

(5) None of these

Question No : 44

Priya’s monthly income is four-fifth of Meera’s monthly income Meera’s annual income is Rs.4,29,600. What is Priya’s annual income? (In some cases monthly income and in some cases annual income is used.)

(1) Rs.3,68,240

(2) Rs.3,43,680

(3) Rs.3,48,250

(4) Rs.3,66,080

(5) None of these

Question No : 45

Chandran gave one-fourth of his money to Suresh.  Suresh in turn gave one-third of what he received to Jayesh. If the difference between the amount of Suresh and Jayesh is Rs.100/-, how much money did Chandran have?

(1) Rs.450/-

(2) Rs.900/-

(3) Rs.800/-

(4) Rs.600/-

(5) None of these

Question No : 46

Ashok gave one-third of his money to Jayesh. Jayesh in turn gave one-fourth of what he received from Ashok to Jayanth.  If Jayanth got Rs.300/- how much money did Ashok have?

(1) Rs.3300/-

(2) Rs.3900/-

(3) Rs.2400/-

(4) Rs.3600/-

(5) None of these

Question No : 47

A, B and C are partners of a company. During a particular year A received one–third of the profit, B received one–fourth of the profit and C received the remaining Rs.5000. How much did A receive?

(1) Rs.5000

(2) Rs.4000

(3) Rs.1000

(4) Rs.3000

(5) None of these

Question No : 48

Marks obtained by Kumar in English are equal to 1/3rd of marks obtained by her in music. Total marks obtained by her in both the subjects together is 160. How many marks did she secure in music?

(1) 120

(2) 60

(3) 30

(4) 90

(5) None of these

Question No : 49

If Rs.270 is divided between A, B and C such that A’s portion is equal to 2/3rd of B’s portion and B’s portion is equal to 3/4th of C’s portion. What is the share each of A, B and C?

(1) Rs.90, Rs.60 and Rs.120

(2) Rs.120, Rs.60 and Rs.90

(3) Rs.90, Rs.120 and Rs.60

(4) Rs.60, Rs.90 and Rs.120

(5) None of these

Question No : 50

(1) Rs.2400

(2) Rs.1600

(3) Rs.1200

(4) Rs.400

(5) None of these

Question No : 51

(1) 20 pens

(2) 15 pens

(3) 57 pens

(4) 22 pens

(5) None of these

Question No : 52

(1) Rs.820

(2) Rs.840

(3) Rs.950

(4) Rs.910

(5) None of these

Question No : 53

(1) Rs.792

(2) Rs.831

(3) Rs.620

(4) Rs.938

(5) None of these

Question No : 54

If 5 times of A’s capital, 4 times of B’s capital and 7 times of C’s capital are equal then what will be the ratio of their profits if the capital has been invested for same duration?

(1) 28 : 35 : 10

(2) 28 : 35 : 20

(3) 28 : 25 : 20 

(4) 18 : 35 : 20 

(5) None of these

Question No : 55

Rs.1170 is divided so that 4 times the first share, thrice the 2nd share and twice the third share amount to the same. What is the value of the third share?

(1) Rs.260

(2) Rs.270

(3) Rs.360

(4) Rs.540

(5) None of these

Question No : 56

A, B and C together have Rs.85500. If 3/16 of A’s amount is equal to 3/8 of B’s amount is equal to 3/14 of C’s amount, how much amount does B have?

(1) Rs.18000

(2) Rs.22000

(3) Rs.37500

(4) Rs.36000

(5) None of these

Question No : 57

Some money is divided amongst three workers A, B and C such that 5 times A's share is equal to 12 times B's share which is equal to 6 times C's share. The ratio between the shares of A, B and C is?

(1) 5 : 10 : 12

(2) 12 : 5 : 10

(3) 10 : 12 : 5

(4) 5 : 12 : 10

(5) None of these

Question No : 58

Divide Rs.581 among A, B and C such that four times A’s share is equal to five times B’s share which is equal to seven times C’s share. What is the share of A in Rupees?

(1) Rs.245

(2) Rs.140

(3) Rs.196

(4) Rs.525

(5) None of these

Question No : 59

The ratio between the two numbers is 5 : 7 and their product is 560. What is the difference between these two numbers?

(1) 6

(2) 12

(3) 8

(4) Data Inadequate

(5) None of these

Question No : 60

A number is divided into three parts such that their ratio is 3 : 4 : 5 and the sum of their square is 5000. Find the third part into which the number is divided.

(1) 70

(2) 30

(3) 40

(4) 50

(5) None of these

Question No : 61

A and B are two numbers. Six times square of B is 540 more than square of A. The ratio of A and B is 3 : 2. Find the number B?

(1) 21

(2) 12

(3) 14

(4) 18

(5) None of these

Question No : 62

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

(1) 28 : 35 : 36

(2) 36 : 35 : 28

(3) 28 : 36 : 45

(4) 7 : 9 : 5

(5) None of these

Question No : 63

(1) 3 : 2 : 1

(2) 1 : 3 : 6

(3) 1 : 2 : 6

(4) 2 : 4 : 6

(5) None of these

Question No : 64

(1) 4 : 9 : 24

(2) 8 : 9 : 20

(3) 8 : 9 : 21

(4) 9 : 8 : 24

(5) None of these

Question No : 65

If A : B = 1 : 2, B : C = 3 : 4 and C : D = 5 : 6, then A : B : C : D equals :

(1) 5 : 3 : 4 : 8

(2) 3 : 6 : 20 : 16

(3) 15 : 30 : 40 : 48

(4) 5 : 15 : 20 : 16

(5) None of these

Question No : 66

If A and V are in the ratio 4 : 5 and the difference of their squares is 81. What is the value of A?

(1) 12

(2) 15

(3) 36

(4) 45

(5) None of these