### BCA Model Set - 8

1. If the cost of electricity increase by 30%, by what percent one should reduce his spend in order that spend electricity stays the same?**[2012]**

23.0%

25.5%

26%

33.33%

2. Arun spent 25% of his pocket money, and has Rs 125 left, How much has he at first? **[2012]**

120

144.45

166.66

175.67

3. On my sister's 15^{th} birthday, she was 159 cm in height, having growth 6% since the year before. How tall was she the previous year?**[2012]**

140

150

160

165

4. If 4% of (p + q) is 8 and p is positive integer, what is the greatest possible value of q? **[2011]**

186

197

199

200

5. Mr.Mahesh Joshi invested Rs 1,00,000 partly in 10% stock at 96 and the rest in 11.25% stock at 117. What amount he invested in each stock, If he receives the same income from each? **[2002]**

Rs 48000 and Rs 52000

Rs 40000 and Rs 60000

Rs 45000 and Rs 55000

Rs 44000 and Rs 56000

6. A co. Report that 1800 units of products were found defective. If this represents 5% of total units exported **[2008]**

36000

38000

40000

45000

7. Find the arrangement that can be made out of the letters of the word 'MANAGEMENT'**[2009]**

453600

456300

45300

226800

8. In how many ways four persons. A, B, C, D can be arranged taking 2 person at a time**[2008]**

12

15

16

18

9. A diagram of plane drawn to the scale of 0.5 inch equals 80 feet if the length of the diagram is 4.5 inches the actual length of plane is**[2006]**

720 ft

680 ft

640 ft

360 ft

10. A sells an article to B at profit of 20% and B sells it to C at profit of 25%. If C buys it for Rs 225. What did A pay for it**[2006/2003]**

Rs 100

Rs 125

Rs 150

Rs 175

11. A retailer purchases an article at the rate of 11 items at Rs 10 and sells 10 items for Rs 11. His gain or loss percentage is **[2005]**

21% loss

21% gain

11.5% loss

11.5 gain

12. A merchant sells an item at 20% discount, but still makes a gross profit of 20% of the cost. What percentage of the cost would the gross profit on the item have been if it had been sold without the discount? **[2002]**

20%

40%

50%

60%

13. If one root of the equation 2x^{2} + 2x - k = 0, what is the value of k?**[2002]**

10

18

35

84

14. If a sequence of 8 consecutive odd integer with increasing values has 9 as its seventh term, what is the sum of the terms of the sequence**[2005]**

22

32

36

40

15. The number of students in a private campus and public campus in MBS first year is at the ratio of 3:5 if 20 Students are increased in each campus at MBS first year, the ratio changes to 5L7. The total number of students in the two campuses before the increase was **[2003]**

72

80

96

100

16. In a flight, the ratio of number of occupied seats to the number of the empty seats was 5 to 2. If there were 105 seats, how many of them were occupied?**[2002]**

75

60

45

30

17. The Arithmetic mean of x and y is 10 and their geometric mean is 8. What is the value of x and y?**[2007]**

16.4

15.5

14.6

12.8

18. How many terms of the sequence 12, -9, -6, -3... must be taken to make sum 54?**[2006]**

13

12

14

11

19. How many solutions does the system of equations given below have? 2x + y = 3 and 3y = 9 - 6x **[2009]**

None

One

Two

An infinite number

20. In the two digits number x, both the sum and difference of its digit is 4. What is the value of x? **[2008]**

13

31

40

48

21. The system of equations 2x + 3y = 7 and x - y = 1 has following values **[2005]**

2,1

1,2

-1,2

3,4

22. Simplify : z^{6} (z ^{-2})

z^{3}

z^{4}

z^{8}

z^{12}

23. If 5^{a} = 3125 then the value of 5^{(a - 3)}

5

125

625

1625

24. If 8^{13} = 2^{z} then the value of z is :

10

13

39

26

25. A diagram of a large ground drawn to the scale of 0.5 inch equals 80 feet. If the length of the diagram is 4.5 inches the actual length of the ground is **[2007]**

720 ft

680 ft

640 ft

360 ft

26. A contractor undertakes to make a road in 30 days and employ 15 men. After 24 days, he finds that only half of the work is done, how many extra men should he employ so that he is able to complete work in time **[2006]**

2

30

45

None

27. A certain number of person could do a piece of work in 50 days. If there were 8 less person it would have been completed in 10 days more. The number of person in the beginning was **[2005]**

60

48

40

32

28. By walking at 5 km/hr from the home, shashi reaches her college 5 minutes late. But by walking at 6 km/hr from her home she reaches her college 5 minutes earlier. The distance of the college from her home is **[2004]**

2.5 km

3 km

4.5 km

5 km

29. A and B can do a work in 8 days. B and C can do the same piece of work in 12 days. A , B and C can finish the same work in 6 days. A and C can together finish the work in **[2004]**

15 days

20 days

25 days

30 days

30. Four thousand men have provision for 90 days. If After 20 days 800 men go awya find the long the remaining provision will last **[2003]**

100 days

120 days

200 days

250 days

31. A batsman makes a score of 87 runs in the 17^{th} inning and thus increases his average by 3. Find his average after 17th inning[2012]

39

38

38.5

39.5

31. The average of 8 numbers is A, one of the number is 14. If 14 is replaced with 25, then what is the new average term of A? [2011]

A + 7/4

A + 1/2

A + 2

2A + 1

33. The distance between cities A and B is 120 miles per hour and returns from B to A along the same route at 40 miles per hour. What was the average speed for the round trip?[2011]

56

52

50

48

34. If the average of the consecutive even integers a,b and c is less than a/3. which of the following best described the value of a?[2011]

'a' is poisitive

'a' is negative

'a' is prime

'a' is odd

35. The average of six consecutive integers in increasing order size is 9.5, what is the average of the last three numbers?

11

10

9

8

36. What is the average of x,2x and 6?

$\frac{1}{2}x$

2x

x + 2

$\frac{x+2}{3}$

37. The average of 20 items was found by the computer as 6.0. During the scrutiny it was discovered that three items were wrongly read and calculated, 75 and 15, 50 as 60; and 70 as 90. The correct average is [2002]

5.0

6.5

7.0

7.5

38. The value of √[(31 - 6)(16 + 9)]**[2010]**

5

10

25

30

39. If -x = -[-(2+5)], then the value of X is : **[2009]**

-7

-3

3

7

40. The present worth of Rs 600 due to 4 years hence, reckoning interest at 5% per annum is **[2008]**

Rs 1650.50

Rs 1675.30

Rs 1700

Rs 1680.00

41. A banker pays Rs 564 for a bill of Rs 600 due 6 months hence. what is the rate percentage per annum the bank has deducted from the bill? **[2008]**

12%

11%

10%

8%

42. The difference between simple and compound interest in a certain sum in 2 year at 12 % per annum is Rs 216. The sum is: **[2008]**

Rs 14500

Rs 15000

Rs 15500

Rs 16000

43. The compound interest on a certain sum for the first year for 4% is Rs 25. The compound interest for 2 years at the same rate on the same sum will be: **[2007]**

Rs 20

Rs 51

Rs 53

Rs 54

44. The difference between simple and compound interest in a certain sum in two years at 15% per annum is Rs 144. The sum is: **[2007]**

Rs 6000

Rs 6200

Rs 6400

Rs 6500

45. In how many years will a sum of money doubles at 10% per annum simple interest? **[2006]**

5 years

8 years

10 years

20 years

46. If the compound intrest on a certain sum of money for 2 years at 10% per annum is Rs 2100, the simple interest on it at same rate for 2 years will be **[2005]**

Rs 1000

Rs 1500

Rs 2000

Rs 2500

47. Length and breadth of a rectangular field is 50 meter and 20 meter respectively. A 7 meters wide road runs outside around the field. What is the area of the road? **[2007]**

40 Sq m

1000 Sq m

1176 Sq m

1208 Sq m

48. If the length of rectangle is increased, by 20% and the width of the same rectangle decreased **[2006]**

Decreased by 20%

Decreased by 4%

Increased by 20%

Increased by 4%

49. What is the ratio of the areas of a square and the square drawn on its diagonal? **[2004]**

1 : 1

1 : 2

1: 3

1 : 4

50. When usha was thrice as old as Nisha, her sister asha was 25. When Nish was hald as old as asha, then sister usha was 34. Their ages add to 100. How old is usha? [2016]

20

30

40

50