CT03 - CDS Sectional - Elementar y Mathematics1/17/2019 ...

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CT03 - CDS Sectional - Elementary Mathematics1.

Which of the following are in descending order of their value?

(A) 5/9, 7/11, 8/15, 11/17

(B) 5/9, 8/15, 11/17, 7/11

(C) 11/17, 7/11, 8/15, 5/9

(D) 11/17, 7/11, 5/9, 8/15

(E) none of these

2.

What should come in place of question mark in the following equation?

27

(A) A

(B) B

(C) C

(D) None of these

(E) D

+ 118 − 32 = 11 +?311

25

522

611

113 910

111 911

90 910

101 911

3.

What approximate value should come in place of the question mark (?) in the following equation?

85.147+34.192×6.2+?=802.293

(A) 400



(B) 500

(C) 550

(D) 650

(E) 700

4.

What will come in place of question mark (?) in the following equation?

(A) 8^4

(B) 16^4

(C) 2^15

(D) 2^27

(E) none of these

16(7.5) ÷ 8(3.5) ÷ 2(7.5) =?

5.

What will come in place of question mark (?) in the following equation?

(9.93) ÷ (5.007) + 2.987 × 3.123 =?

(A) 12

(B) 17

(C) 4

(D) 21

(E) 14

3 3

6.What should be come in place of question mark (?) in the following number series?

705, 728, 774, 843, 935, 1050, ?



(A) 1188

(B) 1180

(C) 1182

(D) 1184

(E) 1204


1, 6, 36, 240, 1960, ?

(A) 19660

(B) 19680

(C) 19800

(D) 19880

(E) 19999


400, 240, 144, 86.4, 51.84, 31.104, ?

(A) 18.2444

(B) 18.2244

(C) 16.8824

(D) 18.6624

(E) 17.2314




8,6,9,23,87,.?

(A) 128

(B) 226

(C) 324

(D) 429

(E) 413


246, 198, 126, 114, 110, ?

(A) 110

(B) 112

(C) 114

(D) 109

(E) 111

11.

The differene between the compound interest compounded every six months, and the simple interest oncertain sum of money at rate of 12% per annum for 1 year is Rs. 36, the principal is?

(A) 2500

(B) 10000

(C) 1000

(D) 25000

(E) 21300

12.



Rs.2000 invested for 2 years 6 months at the rate of 5% half yearly on compound interest to be calculatedannually. Then find the amount after 2 years 6 months.

(A) 2904

(B) 2425.5

(C) 2541

(D) 2662

(E) 2400

13.In each of the following questions two equations numbered I and II are given. You have to solve both theequations and give answer if

(a) x=y

(b) x>y

(c) x<y

(d) x≥y

(e) x≤y

and

(A) a

(B) c

(C) b

(D) e

(E) d

I. − =57

521

√x

42

II. + =√y

4

√y

16250

√y


(a) x=y



(b) x>y

(c) x<y

(d) x≥y

(e) x≤y

I.√784x+ 12345 =1486

II. √1089y+2081 =2345

(A) a

(B) b

(C) c

(D) d

(E) e


(a) x=y

(b) x>y

(c) x<y

(d) x≥y

(e) x≤y

I. x -468 = 1729

II. y -1733+1564 =0

(A) a

(B) b

(C) c

(D) d

(E) e

3

2




(a) x=y

(b) x>y

(c) x<y

(d) x≥y

(e) x≤y

I. 2x -18x+40=0

II. y -13y-42=0

(A) a

(B) b

(C) c

(D) d

(E) e

2

2


(a) x=y

(b) x>y

(c) x<y

(d) x≥y

(e) x≤y

I. 6x +7x+2=0

II. y -y-2=0

(A) a

(B) c

(C) e

(D) b

2

2



(E) d

18.A school has four sections A,B, C, D of class IX students.

The result of half yearly and annual examinations are shown in the table given below.The result of half yearly and annual examinations are shown in the table given below.

Result Section A Section B Section C Section DStudent failed in both exams 28 23 17 27Students failed in half-yearly but passed in Annual Exams 14 12 8 13Students passed in half-yearly but failed in Annual Exams 6 17 9 15Students passed in both Exams 64 55 46 76

1. If the number of students passing an examination be considered a criteria for comparision of difficulty levelof two examination which of the following statements is true in this context?

(A) Half yearlly examinations were more difficult

(B) Annual examinations were more difficult

(C) Both the examinations had almost the same difficulty level

(D) The two examinations cannot be compared for difficulty level

(E) none of these




2. How many students are there in Class IX in the school?

(A) 336

(B) 189

(C) 335

(D) 430



(E) 330




3. Whcih section has the maximum pass percentage in at least one of the two examinations?

(A) A section

(B) B section

(C) C section

(D) D section

(E) none of these




Which section has the maximum success rate in annual examination?

(A) A section

(B) B section

(C) C section



(D) D section

(E) none of these




Which section has the minimum failure rate in half yearly examination?

(A) A section

(B) B section

(C) C section

(D) D section

(E) none of these

23.



By what percentage did the operating profits increase?

(A) 21.3%

(B) 20.1%

(C) 19.3%

(D) 23.1%

(E) 16%

24.



By what amount (in Rs. Lakhs) did the interest burden decrease in 1991-92?

(A) 6400

(B) 400

(C) 4000

(D) 2500

(E) 642

25.



If 20% rate of interest on borrowed loans, what was the actual loan amount in 1990-91?

(A) Rs. 195 crore

(B) Rs.175 crore

(C) Rs.78 crore

(D) Rs.260 crore

(E) none of these

26.



What was the difference in dividend amount, in the two years considering that the equity remained the same?

(A) Rs .128 crore

(B) Rs .10.2 crore

(C) Rs. 4.2 crore

(D) Rs. 2.4 crore

(E) none of these

27.



By what percent retained profits change in the year 1991-92?

(A) 42%

(B) 53.8%

(C) 27.4%

(D) 10.56%

(E) 11%

28.Directions: Directions: Given below is question followed by two statements I and II. Decide if these statements aresufficient to conclusively answer the questions.

Choose tha appropriate answer from the options given below:

A.Statement I alone is sufficient to answer the question, but statement II alone is not sufficent to answer thequestion.

B.Statement II alone is sufficient to answer the question, but statement I alone is not sufficient to answer thequestion

C.Statement I and II are both necessary to answer the question.

D.Either Statement I or Statement II alone is sufficient to answer the question.



E.Statement I and Statement II are together not sufficent to answer the question.

What is the resepective ratio between the length of a rectangle and side of a square?

I. Area of the square is 400 sq.cm and the area of the rectangle is 600 sq.cm.

II. Breadth of the rectangle is half of the side fo the square.

(A) A

(B) B

(C) C

(D) D

(E) E

29.

In a 200 m race, If A gives B a start of 25 meters, then A wins the race by 10 seconds.Alternatively, if A gives Ba start of 45 metres the race ends in a dead heat. How long does A take to run 200m?

(A) 77.5 sec

(B) 155 sec

(C) 180 sec

(D) 175 sec

(E) none of these

30.

An inlet pipe A fill the tank in 12 hours and outlet pipe can emptied the tank in 8 hours. If n pipes (some areinlet and some are outlet) opened simultaneously then full tank get emptied in 2 hours. Then how many outletpipes are there? ( n is prime number less than 20)

(A) 17

(B) 13

(C) 19

(D) 11

(E) 12



31.

A manufacture estimates that on inspection 20% of the articles he produces will be rejected. He accepts anorder to supply 2500 articles at Rs.15 each. He estimates the profit to be 20%. Find the cost of manufacturingeach article.

(A) 12.5

(B) 10

(C) 10.5

(D) 15

(E) 14

32.

A college has raised 75% of the amount it needs for a new building by receiving an average donation of Rs.600from the people already solicited. The people already solicited represent 60% of the people, the college will askfor donations. If the college is to raise exactly the amount needed for the new building, what should be thaaverage donatoin from the remaining people be solicited?

(A) 300

(B) 400

(C) 500

(D) 600

(E) 450

33.

Working together B and C take 50% more number of days than A,B and C together take and A and B workingtogether, take 8/3 more number of days than A, B and C take together. If A, B and C all have worked together tillthe completion of the work and B has recieved Rs. 120 out of total earning of Rs. 450, then in how many daysdid A, B and C together complete the whole work?

(A) 24

(B) 6



(C) 4

(D) 12

(E) 20

34.

A merchant mixes three varieties of rice costing Rs.20/kg, Rs.24/kg and Rs.30/kg and sells the mixture at aprofit of 20% at Rs.30/kg. How many kgs of the second vaiety will be in the mixture if 2 kgs of the third varietyis there in the mixture?

(A) 1 kg

(B) 5 kgs

(C) 3 kgs

(D) 6 kgs

(E) 7 kgs

35.

Ramesh plans to order a birthday gift for his friend from an online retailer. However, the birthday coincides withthe festival season during which there is a huge demand for buying online goods and hence deliveries areoften delayed. He estimates that the probability of receiving the gift, in time, from the retailers A,B,C,D would be0.6, 0.8, 0.9, and 0.5 respectively. Playing safe, he orders from all four retailers simultaneously. What would bethe probability that his friend would receive the gift in time?

(A) 0.0004

(B) 0.996

(C) 0.216

(D) 0.0006

(E) 0.0014

36.

A jar contains 10 liters of milk. After selling 1 liter of milk, the milkman adds 1 liter of water to the jar. Herepeats the process again. What is the percentage of milk contained in the jar now?



(A) 81%

(B) 82%

(C) 72%

(D) 80%

(E) 32%

37.

A milkman buys 75 litres of milk diluted with 4% of water. He further dilutes it by adding 5 litres of water. Findthe percentage of water contained in the milk.

(A) 8%

(B) 9%

(C) 10%

(D) 10.67%

(E) 11%

38.

A, B, C share the profits earned after a year in the ratio of 6:8:9. A was a full-time partner. B had partnered for 4months and C had partnered for 6 months. Find the ratio of their investments.

(A) 6:8:9

(B) 6:2:3

(C) 4:2:9

(D) 1:4:3

(E)

39.

John buys a second-hand car for Rs.1,80,000 and spent Rs.20,000 for repairing it. He sold it for Rs.2,20000.Find his gain %.



(A) 25%

(B) 20%

(C) 15%

(D) 10%

(E) 12%

40.

Listed price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts. Ifthe first discount is 10%, find the second?

(A) 8%

(B) 6%

(C) 5%

(D) 9%

(E) 10%

41.

A sum of money invested for a certain number of years at 8% p.a. simple interest grows to Rs.180. The samesum of money invested for the same number of years at 4% p.a. simple interest grows to Rs.120 only. For howmany years was the sum invested?

(A) 25 years

(B) 15 years

(C) 20 years

(D) 22 years

(E) 10 years

42.



A man rows 750m in 675 seconds against the stream and returns in 7½ minutes. How rowing speed in stillwater is

(A) 3 km/hr

(B) 5km/hr

(C) 9 km/hr

(D) 10 km/hr

(E) none of these

43.

12 buckets of water fill a tank when the capacity of each bucket is 13.5 litres. How many buckets will beneeded to fill the same tank, if the capacity of each bucket is 9 litres?

(A) 14

(B) 15

(C) 16

(D) 18

(E) 10

44.

P can do a work in the same time in which Q and R together can do it. If P and Q work together, the work canbe completed in 10 days. R alone needs 50 days to complete the same work. then Q alone can do it in

(A) 30 days

(B) 25 days

(C) 20 days

(D) 15 days

(E) 22 days

45.



A bus starting from Kadappa reaches the bus station at Vempally in 45 minutes, with an average speed of40km/hr. If the speed of the bus is increased by 10km/hr, how much less time will the bus take to cover thedistance?

(A) 19min

(B) 10min

(C) 9min

(D) 24min

(E) 16min

46.

What is the largest 4 digit number exactly divisible by 88?

(A) 9944

(B) 9999

(C) 9988

(D) 9900

(E)

47.

[(58) × (48) ] ÷ ? = 2152.96

(A) 260

(B) 2400

(C) 3600

(D) 4800

(E) 4100

2 2

48.

95 ÷ 95 = 953.7 0.9989 ?



(A) 1.9

(B) 2.99

(C) 3.6

(D) 2.7

(E) 4.3

49.

A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs.6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the workingmember for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. Calculate the share ofB in the profit.

(A) Rs. 1900

(B) Rs. 2660

(C) Rs. 2800

(D) Rs. 2840

(E) none of these

50.

P can complete a work in 12 days working 8 hours a day. Q can complete the same work in 8 days working 10hours a day. If both P and Q work together, working 8 hours a day, in how many days can they complete thework?

(A) 60/11

(B) 61/11

(C) 62/11

(D) 67/11

(E) 11/81

51.



Study the following information carefully to answer these questions.



What is the ratio of male employees in Administration to those in Printing Department?What is the ratio of male employees in Administration to those in Printing Department?

(A) 7: 4

(B) 4: 7

(C) 3: 4

(D) 7: 3

(E) 4:9

52.Study the following information carefully to answer these questions.



What is the difference between the total number of employees in IT and that in Operations Department?What is the difference between the total number of employees in IT and that in Operations Department?

(A) 75

(B) 150

(C) 100

(D) 50

(E) 123




What is the ratio of the total number of males in HR and Marketing to the total number of females in theseWhat is the ratio of the total number of males in HR and Marketing to the total number of females in thesetwo departments?two departments?

(A) 13: 15

(B) 15: 13

(C) 13: 17

(D) 17: 14

(E) 12:33




How many female employees are there in the HR Departments?How many female employees are there in the HR Departments?

(A) 250

(B) 120

(C) 125

(D) 150

(E) 100




What is the difference between the numbers of male and female employees in Logistics Department?What is the difference between the numbers of male and female employees in Logistics Department?

(A) 50

(B) 25

(C) 75

(D) 100

(E) 110

56.

The difference between simple and compound interests compounded annually on a certain sum of money for2 years at 4% per annum is Re. 1. The sum (in Rs.) is:

(A) 625

(B) 630



(C) 640

(D) 650

(E) 600

57.

The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:

(A) 200 m

(B) 225 m

(C) 245 m

(D) 250 m

(E) 264 m

58.

The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred byselling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?

(A) Rs. 2000

(B) Rs. 2200

(C) Rs. 2400

(D) Rs. 2600

(E) none of these

59.

What is Sonia's present age?

I.I. Sonia's present age is five times Deepak's present age.

II.II. Five years ago her age was twenty-five times Deepak's age at that time.

(A) I alone sufficient while II alone not sufficient to answer



(B) II alone sufficient while I alone not sufficient to answer

(C) Both I and II are not sufficient to answer

(D) Both I and II are necessary to answer

(E) none of these

60.

Average age of employees working in a department is 30 years. In the next year, ten workers will retire. Whatwill be the average age in the next year?

I. Retirement age is 60 years.

II. There are 50 employees in the department.

(A) I alone sufficient while II alone not sufficient to answer

(B) II alone sufficient while I alone not sufficient to answer

(C) Both I and II are not sufficient to answer

(D) Both I and II are necessary to answer

(E) none of these

61.

An error 2% in excess is made while measuring the side of a square. The percentage of error in the calculatedarea of the square is:

(A) 2%

(B) 2.02%

(C) 4%

(D) 4.04%

(E) 5%

62.



A, B and C start at the same time in the same direction to run around a circular stadium. A completes a roundin 252 seconds, B in 308 seconds and c in 198 seconds, all starting at the same point. After what time will theyagain at the starting point ?

(A) 26 minutes and 18 seconds

(B) 42 minutes and 36 seconds

(C) 45 minutes

(D) 46 minutes and 12 seconds

(E) none of these

63.

There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students ineach room is the same. If 20 candidates are sent from B to A, then the number of students in A is double thenumber of students in B. The number of students in room A is:

(A) 20

(B) 80

(C) 100

(D) 200

(E) 110

64.

A trader owes a merchant Rs. 10,028 due 1 year hence. The trader wants to settle the account after 3 months.If the rate of interest 12% per annum, how much cash should he pay?

(A) Rs. 9025.20

(B) Rs. 9200

(C) Rs. 9500

(D) Rs. 9600

(E) none of these



65.

In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 perhour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hoursdoes he work for ?

(A) 160

(B) 175

(C) 180

(D) 195

(E) 120

66.Number of players participating in three different games from six different countries:Number of players participating in three different games from six different countries:

The number of players participating in Cricket from country–4 is what percentage of the number of playersparticipating in Badminton from country–1?

(A) 177.77%

(B) 176.78%

(C) 178.87%



(D) 180.82%

(E) 132.25%


What is the total number of players participating in Cricket from country 4, 5 and 6 and the number of playersparticipating in Football from country 1, 2 and 3?

(A) 335

(B) 635

(C) 435

(D) 535

(E) 132




The number of players participating in Badminton from all the country is what percentage of the total numberof players participating in all the games from country–3?

(A) 134%

(B) 164%

(C) 126%

(D) 157%

(E) 135%




In which country is the number of players participating in Football is the highest and the number of playersparticipating in Badminton is the lowest?

(A) Country 3 & 2

(B) Country 4 & 6

(C) Country 3 & 4

(D) Country 5 & 1

(E) none of these




60% of players participating in all game from country-5 are male and 30% players participating in all game fromcountry-3 are female. What will be their ratio?

(A) 127:170

(B) 13:7

(C) 49:27

(D) 87:55

(E) 12:37

71.

A sum of Rs. 725 is lent in the beginning of a year at a certain rate of interest. After 8 months, a sum of Rs.362.50 more is lent but at the rate twice the former. At the end of the year, Rs. 33.50 is earned as interest fromboth the loans. What was the original rate of interest?

(A) 3.46%

(B) 4.5%

(C) 5%

(D) 6%

(E) 8%



72.

A sum of money amounts to Rs. 9800 after 5 years and Rs. 12005 after 8 years at the same rate of simpleinterest. The rate of interest per annum is:

(A) 5%

(B) 8%

(C) 12%

(D) 15%

(E) 11%

73.

A boat covers a certain distance downstream in 1 hour, while it comes back in 1(1/2) hours. If the speed of thestream be 3 kmph, what is the speed of the boat in still water?

(A) 12kmph

(B) 13kmph

(C) 14kmph

(D) 15kmph

(E) 20kmph

74.

The speed of a boat in still water is 20 kmph and the speed of the stream is 5 kmph. The distance travelled byboat moving upstream in 20 minutes is?

(A) 15 km

(B) 10 km

(C) 3 km

(D) 5 km

(E) 7 km



75.

P, Q and R can do a work in 20, 30 and 60 days respectively. How many days does it need to complete the workif P does the work and he is assisted by Q and R on every third day?

(A) 10 days

(B) 14 days

(C) 15 days

(D) 9 days

(E) 12 days

76.

A car gives a mileage of 20 km per liter of petrol when driven at a constant speed of 50 kmph but the mileagedecreases by 10% when driven at a speed of 70 kmph. How many km can the car travel with 12 liters of petrolif it travels a speed of 70 kmph?

(A) 216 km

(B) 240 km

(C) 228 km

(D) 200 km

(E) 236 km

77.

A man goes to his office from his house at a speed of 3 km/hr and returns at a speed of 2 km/hr. If he takes 5hours in going and coming, what is the distance between his house and office?

(A) 3 km

(B) 4 km

(C) 5 km

(D) 6 km



(E) 8 km

78.

If a �at costs Rs.4500 per sq. ft, and a commercial space costs Rs.9500 per sq. ft, then what is the ratio of their areasif the total cost of both are the same?

(A) 9:19

(B) 19:9

(C) 15:28

(D) 28:15

(E) 13:17

79.

If 10% of x = 20% of y, then x:y is equal to:

(A) 1:2

(B) 2:1

(C) 5:1

(D) 10:1

(E) 2:3

80.

From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3men are there on the committee. In how many ways can it be done?

(A) 564

(B) 645

(C) 735

(D) 756

(E) 700



81.There are eight companies C1, C2, C3, C4, C5, C6, C7 and C8 in the market that manufacture furniture.

The furniture manufactured by these companies is sold in one or more than one of the five regions namely R1,R2, R3, R4 and R5.

Two companies are said to be ‘Competitors’ if there is at least one region where both the companies sell theirfurniture.

The following bar- graph provides information about the number of competitors seven of these eightcompanies have.

Assume that these are the only eight companies that sell furniture in the mentioned regions.

Each region is given as many points as the number of companies who sold furniture in it. If there is exactly oneregion where no company sold furniture, then the aggregate number of points given to all the regions is:

(A) 10

(B) 15

(C) 18



(D) 20

(E) 25

82.There are eight companies C1, C2, C3, C4, C5, C6, C7 and C8 in the market that manufacture furniture.

The furniture manufactured by these companies is sold in one or more than one of the five regions namely R1,R2, R3, R4 and R5.

Two companies are said to be ‘Competitors’ if there is at least one region where both the companies sell theirfurniture.

The following bar- graph provides information about the number of competitors seven of these eightcompanies have.

Assume that these are the only eight companies that sell furniture in the mentioned regions.

The number of regions in which the company C1 sold furniture is at most:

(A) 1



(B) 2

(C) 3

(D) 5

(E) 4

83.The pie chart in Figure (a) shows the distribution of the New York market share by valueby value of different computercompanies in 2015.

The pie chart in Figure (b) shows the distribution of the New York market share by volumeby volume of differentcomputer companies in 2015.

Number of units sold in 2015 in New York = 1,500

Value of units sold in 2015 in New York = USD 1,650,000.



In 2015, the average unit sale price of an IBM PC was approximately (in USD)In 2015, the average unit sale price of an IBM PC was approximately (in USD)



(A) 3140

(B) 2840

(C) 3220

(D) 3080

(E) 3214







For the year 2015, which company has realised the lowest average unit sales price for a PC?For the year 2015, which company has realised the lowest average unit sales price for a PC?



(A) Commondore

(B) IBM

(C) Tandy

(D) Cannot be determined

(E) Apple







Over the period 2015-16, if sales (value-wise) of IBM PCs increased by 50% and of Apple by 15%, assumingthat PC sales of all other computer companies remained the same, by what percentage (approximately) wouldthe PC sales in New York (value-wise) increase over the same period?

(A) 15.3%

(B) 16.1%

(C) 17.4%

(D) 18.6%

(E) 19.2%

86.P divides his property among his four sons A, B,C and D after donating Rs 20,000 and 10% of his remainingproperty. The amounts received by the last three sons are in A.P. and the amount received by the fourth son isequal to the total amount donated. The first son receives as his share Rs 20,000 more than the share of thesecond son. The last son received Rs 1 lakh less than the eldest son.

What is the total donation made by P?What is the total donation made by P?

(A) 55,000

(B) 65,000

(C) 75,000

(D) 80,000

(E) 45.000

87.P divides his property among his four sons A, B,C and D after donating Rs 20,000 and 10% of his remainingproperty. The amounts received by the last three sons are in A.P. and the amount received by the fourth son isequal to the total amount donated. The first son receives as his share Rs 20,000 more than the share of thesecond son. The last son received Rs 1 lakh less than the eldest son.

Find the share of the third son.Find the share of the third son.

(A) 85,000

(B) 1,05,000

(C) 1,20,000

(D) 1,35,000



(E) 86,000

88.

If the price of petrol increases by 25 and Varun intends to spend only an additional 15 on petrol, by how muchwill he reduce the quantity of petrol purchased?

(A) 10%

(B) 12%

(C) 8%

(D) 6.67%

(E) 7%

89.

A 20 litre mixture of milk and water contains milk and water in the ratio 3 : 2. 10 litres of the mixture is removedand replaced with pure milk and the operation is repeated once more.

At the end of the two removals and replacement, what is the ratio of milk and water in the resultant mixture?

(A) 16: 5

(B) 9: 2

(C) 9: 1

(D) 11: 4

(E) 11:13

90.

How many kgs of Basmati rice costing Rs.42/kg should a shopkeeper mix with 25 kgs of ordinary rice costingRs.24 per kg so that he makes a profit of 25% on selling the mixture at Rs.40/kg?

(A) 10.0 kg

(B) 12.5 kg

(C) 15.8 kg



(D) 20.0 kg

(E) 13.2 kg

91.

Three pipes A, B and C take 3 hours to fill a tank. If pipes A and B alone take 6 hours and 9 hours to fill the tank,find the time taken by pipe C alone to fill the tank.

(A) 12 hours

(B) 15 hours

(C) 18 hours

(D) 24 hours

(E) 22 hours

92.

Pipe A can fill a tank in 5 hours. Pipe B in 10 hours and Pipe C in 30 hours. If all the pipes are open, in howmany hours will the tank be filled?

(A) 2

(B) 2.5

(C) 3

(D) 3.5

(E) 4

93.

Two pipes A and B can fill a tank in 24 minutes and 32 minutes respectively. If both pipes are openedsimoultaneously, after how much time B should be closed so that the tank is full in 18 minutes?

(A) 8 min

(B) 9 min

(C) 10 min



(D) 11 min

(E) 13 min

94.

Two pipes A and B can fill a cistern in 12 minutes and 15 minutes respectively but a third pipe C can empty thefull tank in 6 minutes. A and B are kept opened for 5 minutes in the begning and then C is also opened. In whattime is the cistern emptied?

(A) 30 min

(B) 33 min

(C) 45 min

(D) 37(1/2) min

(E) 25 min

95.

Find the ratio between the speeds of the boat and stream if the boat can travel 30 km upstream in 3 hours andthe same distance downstream in 2 hours.

(A) 5:1

(B) 3:2

(C) 4:1

(D) 2:3

(E) 5:7

96.

In a to and fro journey between two places, the average speed of a boat was 9.1 kmph. If the upstream speedof the boat is 7 kmph, find the speed of the stream.

(A) 2.1 kmph

(B) 3 kmph



(C) 2.9 kmph

(D) 3.5 kmph

(E) 3.8 kmph

97.

A man can row at a speed of 6 kmph in still water. He travels a distance of 16 km against the current andcomes back to the starting point in 6 hours. Find the rate of current.

(A) 4 kmph

(B) 2 kmph

(C) 1 kmph

(D) 2.5 kmph

(E) 3.6 kmph

98.

The profit earned when an article is sold for 800 is 20 times the loss incurred when it is sold for 275. At whatprice should the article be sold if it is desired to make a profit of 25%.

(A) 300

(B) 350

(C) 375

(D) 400

(E) 310

99.

If a merchant makes a profit of 20% after giving a 20% discount, what should be his markup?

(A) 20%

(B) 40%

(C) 50%



(D) 60%

(E) 80%

100.

If a merchant offers a discount of 40% on the marked price of his goods and thus ends up selling at cost price,what was the % markup?

(A) 28.57%

(B) 40%

(C) 66.66%

(D) 58.33%

(E) 30%

CT03 - CDS Sectional - Elementar y Mathematics1/17/2019 ...

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