### BCA Model Set - 5

1. In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, what was the number of the valid votes that the other candidate got? **[2017/16]**

2800

2700

2100

2500

2. what is the 0.5% of 100,000?**[2016]**

0.05

0.50

50

500

3. What 10,000 is increased by 0.1% we get,**[2015]**

10001

10010

10100

11000

4. 60 is 80% of which number? **[2015]**

60

72

75

80

5. If 6 is 24% of a number, which is 40% of the same number?**[2015]**

8

10

15

20

6. A jar contains 24 blue balls and 40 red balls. which one of the following is 50% of the blue balls? **[2011]**

10

11

12

13

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

36000

38000

40000

45000

8. If there are 5 routes for travelling two places A and B. How many option are there for a a person to travel from A to B and return back**[2015]**

5

10

9

25

9. In a box, there are 8 red, 7 blue and 6 green valls. One ball is picked up randomly, what is the proability that it is neither red or green **[2014]**

1/3

1/4

7/9

8/21

10. A vendor bought bannas at 6 for a rupee. How many for a rupee must he sell to gain 20%**[2016]**

3

4

5

6

11. Seats for Mathematics, Computer and accounting in a school are in the ratio of 5:7:8. There is a proposal to increased seats **[2014]**

2:3:4

6:7:8

6:8:9

None of these

12. Peter wants to get $200000 for his house. An agent charges 20% of the selling price for selling the house for peter. What should be the selling price>**[2013]**

$250,000

$200,000

$150,000

$50,000

13. Profit in the partnership of Bikram, Bishnu and Binita are shared in the ration of 1:2:3. If Bikrim's share of the profit is Rs 300, what is Binita's share?**[2013]**

Rs 150

Rs 600

Rs 450

Rs 900

14. A starts business with Rs 3,500 abd after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2:3 what is B's contribution in the Capital?**[2012]**

Rs 7500

Rs 8000

Rs 8500

Rs 9000

15. What is/are the factors of the equation y^{2} = 64?**[2013]**

(y + 8)

38

(y+8)(y-8)

(-8,8)

16. The value of x^{2}+5x = 12 - x^{2} are**[2007]**

3/2 and -4

3 and 4

2/3 and 4

4/3 and 2

17. Two numbers are respectively 20% and 50% more than the third number. The ratio of two number is **[2015]**

2:5

3:5

4:5

6:7

18. In a mixture 60 litres, the ration of milk and water is 2:1. If this ration is to be 1:2, then the quantity of water to be further added is: **[2015]**

20 Litres

30 Litres

40 Litres

60 Litres

19. Given a sequence 1,4,16,20,36,49, find the odd one out **[2013]**

2

9

20

49

20. Look at this series 58,52,46,40,34,.... what number should come next**[2013]**

26

28

30

32

21. If there are 5 routes for traveling between two places A and B. How many options are there for a person to travel from A to B and return back?

5

10

9

25

22. If 5a = 3b = 25, then 30ab = ?

100

150

625

1250

23. If 4x + y - 14 and 3x + y = 13, then x - y is equal to: **[2008]**

-9

2

3

-1

24. Value of (2^{5} × 9^{2}) ÷ (8^{2} × 3^{5} )is

1/6

6

1/2

1

25. If x = y^{a}, y = z^{b} and z = x^{c}, then the value of abc is

1

2

3

4

26. The sum of the base angles of a triangle is 140° and their diffrence is 40°. The Angle of the triangle are**[2005]**

90°, 40°, 50°

100°, 40°, 40°

80°, 40°, 60°

110°, 30°, 40°

27. In a dairy farm 40 cows eat 40 bags of husk in 40 days. In How many days one cow will eat on bag of husk **[2014]**

1/40

1

40

80

28. Given that 100 mililiters is equal to approximately 0.4 cup, 205 mililiters is equal to approximately how many cups? Which of the following expression models the solutions in the problem above? **[2014]**

(100-0.4)(205)

105% of 0.4

(205 - 100)(0.4)

205% of 0.4

29. A contractor employs 20 male, 15 female and 5 children in his factory. Male wages are Rs 10 per day, Female Rs 8 per day, and children Rs 3 per day. The weighted x of wages paid per day will be **[2013]**

3.86

8.37

9.21

10.63

30. Mr Gutierrez needs to order rope for her gym class for 32 students. Each student will receive a piece of rope that is 5 feet 8 inches long. What is the total length of rope Ms Gutierrez need to order for her class? **[2013]**

106 feet

154 feet 8 inches

160 feet 8 inches

184 feet

31. If a sum of money is divided equally among n children, Each child will receive Rs 60. If another chold is added to group, then when the sum is divided equally amaong all children, each child will receive a Rs 50 share. What is the sum of the money **[2017]**

Rs 100

Rs 120

Rs 300

Rs 400

31. The average makes of a class in a science test is Rs 75. Geeta was the topper with 96 marks. If her marks was wrongly entered as 69, the average of the class decreases by 1. Find the number of students in the class? **[2017]**

24

25

27

29

33. The average of six numbers is x and the average of three of these is y. If the average of the remaining three is z. then ** [2017/2016] **

2x = y + z

x = y + z

x = 2y + 2z

None of them

34. In an examination a student's average marks were 63. If he had obtained 20 more marks for his geography and 2 more marks for his history, his average would have been 65. How many subject were there in the examination? **[2017/2016]**

12

13

11

14

35. Arun obtained 76, 55, 82, 67 and 85 marks (out in 100) in English, Mathematics, Chemistry, Biology and Physics, wheat is his average mark?

53

54

72

75

36. The average marks of a class in a science test is 75. Geeta was the topper with 96 marks. If her mark was wrongly entered as 69, the average of the class decrease by 1. Find the number of students in the class? [2016]

24

25

27

29

37. A tourist bus travels for 3 hours at 40 miles per hour and then covers a distance of 80 miles in two hours and 40 minutes. His average rate for the entire trip was. [2007]

35 mph

35.3 mph

35.5 mph

36 mph

38. 1397 × 1397 = ?**[2017]**

19910609

1981709

1951609

2031719

39. (12)^{3} × 6^{4} ÷ 432**[2017]**

5060

5184

5148

5084

40. The population of town increased from 175000 to 262500 in a decade. What is the average percentage increase of population per year? **[2107]**

4%

6%

5%

50%

41. A salary of an officer being increased by 10% every year becomes Rs 48400 in the third year. What was his original salary **[2017]**

Rs 45000

Rs 44000

Rs 42000

Rs 40000

42. Ramesh invested a sum of money at simple interest at a certain rate of intrest for three years. Had it been invested at 4% higher rate, it would have fetched Rs 480 more, Find out the principle amount that was invested by Ramesh? **[2017]**

Rs 3000

Rs 4000

Rs 5000

Rs 4500

43. The interest rate that doubles a sum in 10 years is**[2017]**

12%

11%

10%

9%

44. A sum lent out at 12% per annum compound interest for two years amount to Rs 15660. The sum lent is **[2017 /2016]**

Rs 12000

Rs 12250

Rs 12484

Rs 12880

45. The population of a town increased from 175000 to 262500 in a decade. What is the average percentage increase of population per year? **[2016]**

4%

6%

5%

50%

46. A salary of an officer being increased by 10% every year becomes Rs 48400 in the third year. What was his original salary? **[2016]**

Rs 45000

Rs 44000

Rs 42000

Rs 40000

47. In a garden there are 10 rows and 12 columns of mango trees. The distance between the two tree is 12 meters and a distance of one of the meter is left from all of the boundary of the garden. The length of the garden is: **[2013]**

20 m

22 m

24 m

26 m

48. A shop sells floor tiles at Rs 48 per square meter. A building contractor employs a machine that polishes the tiles that damages 10% of the total number of tiles which cannot be used any more. Calculate the amount that needs to be paid by contractor to tile shop owner, if the halls is of square shape has a perimeter of 400 meters? [2012]

Rs 400,000

Rs 500,000

Rs 528,000

Rs 365,000

49. In a 400 meter race around a circular stadium having a circumference of 100m, the fast runner and slowest time after the same point at the end of the 5^{th} minute, for the fast time after the race all the runners have the same starting point and each runner maintains a uniform speed of slowest runner, what is the time taken by the fastest runner to finish the race. **[2012]**

20 minutes

15 minutes

10 minutes

5 minutes

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

Rs 50

Rs 51

Rs 53

Rs 54