### BCA Model Set - 7

1. 10% of the voters did not cast their vote in an election between two candidates, 10% if the votes polled were found invalid. The successful candidate got 54% of the valid votes and won by a majority of 1620 votes. The number of voters enrolled on the voter list was.**[2012]**

25,000

33,000

35,000

40,000

2. Ram obtains 40% of the marks in a paper of 200 marks. Shyam is ahead of Ram by 25% of Ram's marks, while bhuvan is ahead a shyam by one ninth of his own marks. How many marks does Bhuwan get? **[2012]**

112.5

115

117

110

3. In an election, Congress secure 10% of the total voters more than Non Congress (consider only two parties in the election and everyone voting). If on congress got 126000 votes, by how many votes did it loss the election? **[2012]**

20,000

22,000

244,000

200,000

4. If the price of petrol increase by 25% and rajesh intend to spend only 15% more on petrol, by how much % should reduce the quantity of petrol that he buys? **[2012]**

5%

8%

9%

10%

5. A company reports that 2000 electronics part were found defective. If this represents 5% of the total shipment. How many of these parts were shipped?**[2007]**

40,000

30,000

20,000

10,000

6. A company reports that 2000 electronic part were found defective. If this represent 6.25% of the total shipment, How many of these parts were shipped?**[2006]**

12000

17000

32000

34000

7. Out of 7 consonants and 4 words. How many word of 3 cononants and 2 vowels can be formed**[2013]**

25200

210

1400

1050

8. Out of 7 consonants and 4 words. How many word of 3 cononants and 2 vowels can be formed**[2013]**

25200

210

1400

1050

9. A jar contains 4 blue balls and 40 red balls. Which of the following is % of blue balls**[2010]**

9

10

11

12

10. A 30% discount reduceds the prices of a commodity by Rs 90. If the discount is reduced to 20%, then the price of commodity will be**[2009]**

Rs 180

Rs 210

Rs 240

Rs 300

11. An article was sold for Rs 415 at a loss of 17%. What would have been the cost price?**[2008]**

Rs 475

Rs 490

Rs 500

Rs 525

12. A sport jacket market $48 is offered at a discount of 25% during a stock out sales. At this reduced price, the delear make a profit of 20% on the cost. The cost to the dealer is**[2007]**

$29

$30

$32

$36

13. Selling price of four articles equal to cost price of 5 articles. The gain is **[2007]**

20%

25%

28%

80%

14. An owner of a restaurant earns a profit of 30% per person in a dinner even after allowing discount of 35% on the list price. If the list price is Rs 250, what is price? **[2006]**

Rs 120

Rs 125

Rs 150

Rs 180

15. The value of the expression 16x^{2} + 24x + 9 for x = -(3/4) is:**[2006]**

2

1

0

-1

16. What are the roots of x^{2} - 14x + 45 = 0 **[2005]**

9,5

-9, 5

9, -5

-9 -5

17. If A:B = 5:7 and B:C = 3:5 then A:B:C = ?**[2006]**

5 : 7 : 3

15 : 21 : 35

5 : 3 : 7

3 : 7 : 5

18. If A : B = 3:4, B : C = 5 : 6 and C : D = 2 : 3, then A : D is **[2004]**

1 : 1

5 : 9

5 : 12

8 : 5

19. Let u represent the sum of the integer from 1 to 20, and v represent the sum of integers from 21 to 40. What is the value of v - u**[2011]**

39

200

320

400

20. Find the sum of the series 5 - 1+^{1}∕_{5} - ....**[2009]**

4^{1}∕_{6}

4^{1}∕_{3}

4^{1}∕_{2}

4^{2}∕_{3}

21. P,Q, and R are three consecutive odd numbers in ascending order if the value of three time of P is three less than two times R find the value of R **[2012]**

5

9

7

11

22. Suppose x = y-2 = (y+5)/2, the x is equal to **[2010]**

1/3

7

1

7/6

23. The price of balcony seat in a theater is one-third of seat in the orchestra. When completely sold out the total tickets from 600 orchestra seats and the 450 balcony seats are Rs 45000, what is the price of one orchestra seat? **[2006]**

Rs 30

Rs 40

Rs 50

Rs 60

24. The value of (1/10^{9}) - (1/10^{10}) is: **[2011]**

-(1/10)

1/10

-(1/10^{19})

9/10^{10}

25. The value of 4(xy)^{3} + (x^{3} - y^{3})^{2}: **[2011]**

(x^{3} - y ^{3})^{2}

(x^{3} + y^{3})^{2}

(x^{3} + y^{3})

(x^{3} - y^{3})

26. The value of 2^{12} + 2^{13} + 2^{12} is :

2^{14}

4^{16}

2^{18}

2^{48}

27. If 7 worker can assemble a car in 8 hours how long will it take 12 workers to assemble the same car? **[20]**

3^{1}∕_{2}

4^{2}∕_{3}

5 hours

6^{1}∕_{3}

28. If 15 mens can finish a work in 16 days, in how many days will 8 men finish the same work **[2008]**

24

30

32

36

29. When magnified 10,000 times by an electon microscope, the image of certain circular piece of tissue has diameter of 0.3 centimeter. The actual diameter of the tissue in centimeter is **[2007]**

0.03

0.003

0.0003

0.00003

30. Four worker working together can plough the field in 12 hours. How long will it take 6 workers to plough the field of same size, if all of them work at the same rate? **[2007]**

6 Hours

8 hours

10 Hours

12 Hours

31. A libary has a average of 510 visitor on sunday and 240 on other days. What is the average number of visitor per day in a month of 30 days beginning with a sunday? [2015]

290

304

285

270

32. A grocer has a sale of Rs 6435, Rs 6927, Rs 6855, Rs 7230 and 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gates an average sale of Rs 6500? **[2015]**

4800

4991

5001

5000

33. If took Malcom 3.5 hours to drive from city 20km per hour and it took him 3 hours. Find the average speed for the whole journey **[2014]**

120.0 km/hr

129.2 km/hr

125 km/hr

139 km/hr

34. During a semester a stund recieved scores of 76,80,83,71,80 on six tests? What is the missing score if the average score is 78? **[2013]**

76

77

78

79

35. A consumer group surveyed the price for certain item in five diffrent stores, and reported the average price as $15. we visited four out of the five store, and found the price found the prices to be $10, $15, $15 and $25. Assuming that the consumer group is correct, what is the price of the group is correct. what is the price of the item at the store that we did not

$10

$15

$20

$25

36. One of four number, the average of first three is 16 and of the last three is 15. If the last number is 18 the fast number is

20

21

23

25

37. The average temerature of all the seven days of a week is 30°C. For the first three days of the week it is 29°C and for the next three days it 31°C. The temperature of the last days of the week is. [2004]

28°C

29°C

30°C

31°C

38. Which of the following number is divisible by 12 but not by 8**[2015]**

72

88

108

120

39. 0.3 × 0.06 = **[2015]**

0.00018

0.0018

0.018

0.18

40. How much time will it take for an amount of 450 to yield 81 as interest at 4.5% per annum of simple interest? **[2013**

3.5 years

4 years

4.5 years

5 years

41. Mr Thakali invested an amount of 1300 divided in two diffrent schemes A and B at the simple interest rate of 40% per annum and 11% respectively. If the total amount of simple interest earned in years to be 3508, what was the amount invested in scheme B?

Rs 6400

Rs 6500

Rs 7200

Rs 7500

42. The diffrence between simple and compound interests compounded annually on a certain sum of money for 2 years to 4% per annum is Rs 1. The sum (in Rs.) is **[2013]**

625

630

640

650

43. A person closes his account in an investment scheme by withdrawing Rs 10,000. One year ago he had withdrawn Rs 6,000. Two years ago he had withdrawn Rs 5,000. Three years ago he had not withdrawn any money.How much money had he deposited approximately at the time of opeing the account 4 years ago, If the simple interest is 10%. **[2012]**

Rs 15,600

Rs 16,500

Rs 17,280

None of these

44. If the population is 1500000 and the expected birth rate is 50% while the expected death rate is 31%, what will be the net change in the population at end of the one year **[2012]**

Rs 285000

Rs 250000

Rs 244000

200000

45. The population of a town was 12000 in 1920 and 16000 in 1990. What was the percentage increase in the population of the town during this period ? **[2011]**

80

75

50

33.3

46. The diffrence between the simple and compound interest on a given sum for 3 years at 5% per annum is Rs 15.25. The sum is equal to **[2009]**

Rs 1500

Rs 1800

Rs 2000

Rs 2100

47. What is the % change in the area of a square (which will become rectangle) If its length side is increased by 10% and its width side is decreased by 10%. In these type of problem, assume a percentage base and then move forward

5%

3%

2%

1%

48. What is the area of right triangle to the right? **[2011]**

6

7

8

10

49. If (d) denotes the area of a circle with diameter d, then which of the following is equal to (4) x (6)? **[2009]**

π(24)

π(12)

24

12

50. The sum of the digits of a two digit number is 12, and the ten's digit is one thord of the units digit. What is the number ? [2008]

93

54

48

39