Ratio and Proportion - 1

Ratio: The comparative relation between two amounts/ quantities of same type is called Ratio.

Proportion: When two ratios equal to each other, then they are called proportion. If a : b = c : d then a, b, c and d are in proportion.

1. If A : B = 5 : 2, B : C = 7 : 5 and C : D = 6 : 7, then D : A is equal to

A) 1 : 5    B) 1 : 3   C) 3 : 5    D) 2 : 7

2. The mean proportion between 45 and 125 is :

A) 75    B) 60    C) 65    D) 70

3. King Ashoka had ordered the distribution of apples according to the following plan : For every 45 apples the elephant gets, the zebra should get 25 apples and the deer should get 15 apples. Now his servant is in a fix. How much he should give to the elephant if there were 527 apples in total?

A) 263    B) 249    C) 279    D) 281

Explanation: Elephant   Zebra   deer

45       :     25     :    15

9         :      5       :    3

No. of apples should be given to elephant

Ans: C

4. The value of a diamond is directly proportional to the square of its weight. A diamond unfortunately breaks into three pieces with weights in the ratio of 2 : 7 : 11 resulting in a loss of Rs.22.6 lakhs. What is the actual value (in lakhs) of diamond?

A) 35   B) 30    C) 45    D) 40

5. In a zoo, there are rabbits and pigeons. If heads are counted, there are 230 heads and if legs are counted there are 520 legs. How many pigeons are there?

A) 190    B) 200    C) 240    D) 210

No.of legs = 520

Assuming all the heads belong to pigeons = 230 × 2 = 460

Extra legs = 520 − 460 = 60

6. Seats for Mathematics, Physics and Biology in a school are in the ratio 3 : 6 : 11. There is a proposal to increase these seats by 20%, 30% and 50% respectively. What will be the ratio of increased seats?

A) 12 : 26 : 55     B) 13 : 14 : 17     C) 18 : 21 : 27    D) 19 : 17 : 23

7. In a mixture of 88 liters, the ratio of milk and water is 7 : 4. If this ratio is to be 4 : 9, then the quantity of water to be further added is:

A) 42    B) 45    C) 87    D) 94

8. The sum of three numbers is 145. If the ratio of the first to second is 7 : 5 and that of the second to the third is 3 : 11, then the second number is :

A) 213    B) 185   C) 144    D) 195

9. The fourth proportional to 9, 21, 87 is :

A) 209   B) 212    C) 245    D) 203

10. The students of three classes are in the ratio 5 : 8 : 9. If 28 students are increased in each class, then the ratio changes to 9 : 12 : 13. The total number of students before the increase was

A) 123   B) 154    C) 173   D) 185

11. If A : B = 5 : 8 and B : C = 11 : 13, then find the value of A : B : C

A) 99 : 88 : 101    B) 73 : 75 : 123    C) 23 : 35 : 111    D) 55 : 88 : 104

12. Two numbers are respectively 35% and 53% more than the third number. The ratio of the two numbers is :

A) 14 : 17    B) 12 : 19    C) 14 : 19    D) 15 : 17

13. The incomes of A and B are in the ratio 5 : 4 and their expenses are in the ratio 9 : 7. If both save Rs.166, what is the expenditure of B?

A) 1434    B) 1296    C) 1395   D) 1494

14. Two numbers are in the ratio 7 : 5. If 12 is added to each number, they will be in the ratio 5 : 4. What is the product of the two numbers?

A) 460    B) 168    C) 320    D) 240

15. A sum of Rs.5500 is divided among A, B and C in such a way that the shares of A and B are in the ratio 5 : 2 and those of B and C are in the ratio 7 : 3. The share of B is

A) 1890    B) 1680    C) 1400    D) 1790

Posted Date : 14-02-2023

గమనిక : ప్రతిభ.ఈనాడు.నెట్‌లో కనిపించే వ్యాపార ప్రకటనలు వివిధ దేశాల్లోని వ్యాపారులు, సంస్థల నుంచి వస్తాయి. మరి కొన్ని ప్రకటనలు పాఠకుల అభిరుచి మేరకు కృత్రిమ మేధస్సు సాంకేతికత సాయంతో ప్రదర్శితమవుతుంటాయి. ఆ ప్రకటనల్లోని ఉత్పత్తులను లేదా సేవలను పాఠకులు స్వయంగా విచారించుకొని, జాగ్రత్తగా పరిశీలించి కొనుక్కోవాలి లేదా వినియోగించుకోవాలి. వాటి నాణ్యత లేదా లోపాలతో ఈనాడు యాజమాన్యానికి ఎలాంటి సంబంధం లేదు. ఈ విషయంలో ఉత్తర ప్రత్యుత్తరాలకు, ఈ-మెయిల్స్ కి, ఇంకా ఇతర రూపాల్లో సమాచార మార్పిడికి తావు లేదు. ఫిర్యాదులు స్వీకరించడం కుదరదు. పాఠకులు గమనించి, సహకరించాలని మనవి.