### BCA Model Set - 6

1. 18% of the student at a school are in year 8 and 16% of the students are in year 9. If the school has 126 year 8 students, determine the number of year 9 students.**[2014]**

108

110

112

114

2. Due to drop of 30% in price of mobile sets of a shop there was an increase in sales by 20% what is there effect on the mobile shop? **[2013]**

16% fail

15% fail

12% fail

10% fail

3. In a recent survey 80% of the community favoured building a police substation in their neighbourhoods. If 15 Citizens are chosen, what is the mean number favouring substantion? **[2013]**

12

15

8

10

4. If the number of people classified as unemployed is 20,000 and the number of people classified as employed as 23000. what is the unemployed rate?**[2013]**

8%

8.7%

9.2%

11.5%

5. If a shirt for $18 is marked up to $20 then the percentage increase is equal to **[2008]**

11%

11.11%

12%

9%

6. There are 50 students enrolled in computer. Of the enrolled students 90% appeared in a final exam. Two third of the student attending the final exam are passed. How many students passed the final exam?**[2007]**

30

33

34

<35/p>

7. A school committee consists of 2 teachers and 4 students, the number of diffrent committees that can be formed from 5 teachers and 10 students are **[2014]**

8

10

15

2100

8. If you roll two dices, what is the proability of sum total of 5?**[2011]**

1/6

1/9

1/18

1/36

9. The ratio of Rita's age to her mother's age is 3:8. The diffrence of their age is 35 years. The ratio of their ages 4 years will be**[2012]**

7:12

5:12

38:43

42:47

10. Narasimha, Madhu and Pavan started a business by investing Rs 120,000, Rs 135,000 and Rs 150,000 respectively. FInd the share of Pavan, out of an annual profit of Rs 56700.**[2012]**

Rs 16,800

Rs 18,900

Rs 21,000

None of these

11. Stella paid Rs 32000 for a computer after receiving 20% discount. What is the price of computer before discount **[2010]**

35,000

38,000

40,000

42,000

12. The list price of an articles is 25% above the selling price and cost price is 40% below the list price, then the rate of discount is**[2009]**

15%

20%

25%

40%

13. Given the production cost associated with an item is Rs 20 and fixed cost is Rs 60,000 per month. Each item is sold at Rs 32 per item. If the target profit is Rs 18,000. Then the number of item to be produced and sold is as**[2009]**

6000

6200

6500

6600

14. If the sum of the roots of the quadratic equation is 6 and the product of the root is also 6, then the equation is**[2006]**

x^{2} - 6x + 6 = 0

x^{2} + 6x - 6 = 0

x^{2} - 6x - 6 = 0

x^{2} + 6x + 6 = 0

15. In the equation y = x^{2} + rx - 3, for what values of r will be y = 11 when x = 2?**[2006]**

5

4

3

2

16. If the ratio of 1/5 to 1/4 is equal to the ratio of 1/4 to x, then what is the value of x? **[2009]**

1/20

5/16

1/5

5/4

17. The number of students in a constituent campus and a affiliated campus in a bachelor level is at the ratio of 3:5. If 20 students are increased in each campuses at the same level, the ratio changes to 5:7. The total number of students in the two campuses before the increases was **[2007]**

72

80

96

100

18. Look at this series 7,10,8,11,9,12,.... what number should come next?**[2013]**

7

10

12

13

19. What is the n^{th} of arthmetic series below? 3 + 7 + 11 + 15 + 19 **[2013]**

4n

34 + n

2n + 1

4n - 1

20. If 8x + 4 = 32, then 2x - 1 **[2015]**

9

8

6

5

21. If 5a = 3b = 25 then 30ab = ? **[2015]**

100

150

625

1250

22. If 4y - x = 10, 3x = 2y, then the value of xy is **[2007]**

2

3

6

12

23. Which of the following numbers is the greater positive integer x such that 3^{x} is a factor of 27^{5}?

15

19

15

10

24. If 3^{x} = 81, then (3^{x+3})(4^{x-1}) must be equal to:

5(7)^{5}

3^{7 × 43}

x + 2

(x + 2)/ 3

25. the value of (6^{4} - 6^{3}) / 5 is equal to

1/5

6^{3}

6/5

6^{4}

26. If 7 worker can assemble a car in 8 hours, how long would it take 12 workers to assemble the same car? **[2011]**

3

3.5

4.67

6.33

27. Seven worker can assemble a car in 8 hours, how long it would take 12 workers to assemble the same car **[2010]**

7/2 hours

14/3 hours

1/2 Hours

19/3 Hours

28. If 6 men can earn Rs 150 in 10 dats, how much do 8 men earn it? **[2009]**

Rs 160

Rs 140

Rs 135

Rs 130

29. A jet uses 80 gallons of fuel to fly 320 miles. At this rate, how many gallon of fuel are needed for 700 miles flight **[2009]**

155

160

170

175

30. Working alone, Ram can do a job in 9 hours. Ram and shyam together at their respective rate of working do the same job in 6 hours. If Shyam is working alone, in how many hours can be job be completed **[2002]**

6

9

18

24

31. Paras khadka takes 5 wickeds for 26 run in the final match due to which his bowling average improves by 2. His old bowling average was 14. Find the total number wickets after the final match.[2016/2017]

20

22

14

24

32. The average of 10 numbers is calculated as 15. it is discovered later on that which calculating the average one number, namely 36 was wrongly read as 26. The correct average is [2016]

12.4

14

18.6

16

33. THe average age of a family of ive members is 24 years. If the present age of the youngest member is 8 years, what was the averages age of the family at the time of his birth of the youngest member? [2016]

50

10

30

20

34. Arun obtained 76,65,82,67 nd 85 marks (out of 100) in English, Mathematics, Chemistry, Biology and physics. What is the average mark? [2015/16/17]

53

54

72

75

35. If a sum on money equally among n children, each child will receive Rs 60. If another child is added to the group, then when the sum is divided equally among all children, each child will receive a Rs 50 share. What is the sum of money? [2015/2016/2017]

Rs 100

Rs 120

Rs 300

Rs 400

36. The average of x and y is 40. If z = 10, what is the average of x,y and z ? [2015]

16.6

20

25

30

37. The average of 8 numbers is 6, the average of 6 number is 8. what is the average of all 14 numbers? [2006]

$5\frac{5}{7}$

$4\frac{8}{7}$

$7\frac{2}{7}$

$6\frac{6}{7}$

38. The largest 4 digit number exactly divisible by 88 is:**[2017]**

9944

9768

9988

8888

39. What least number must be added to 1056, so that the sum is completly divisible by 23?**[2017]**

2

3

18

21

40. A sum of Rs 1000 in 2 years on compound interest of 5% per annum. The % rate of interest is **[2016]**

5

6

7

10

41. The interest rate that doubles a sum in 10 years is **[2015]**

12%

11%

10%

9%

42. A man buys Rs 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. What is the market value of each share? **[2015]**

Rs 12

Rs 18

Rs 15

Rs 21

43. A salary of an officer being increased by 10% every year becomes Rs 48400 in the third year. what was his original salary? **[2015]**

Rs 45000

Rs 44000

Rs 42000

Rs 40000

44. The diffrence between simple and compound interest compound interest compounded annually on a certain sum of money for 2 years at 4% per annum is Rs 1. The sum (in Rs) is **[2014]**

625

630

640

650

45. A sum of money at interest amount to Rs 815 in 3 years and to Rs. 854 in 4 years. The sum is **[2013]**

Rs 650

Rs 690

Rs 698

Rs 700

46. Ramesh invested a sum of money at simple interest at a certain rate of interest for three years. Had it been invested at a 4% higher rate, it would have fetched Rs 480 more. Find out the principal amount that was invested by Ramesh? **[2016]**

Rs 3000

Rs 4000

Rs 5000

Rs 4500

47. When a metallic ball bearing is placed inside a cylindrical container of radius 2cm, the height of the water inside the container increases by 0.6 cm. The radius to the nearest length of a centimeter of the ball bearing is **[2014]**

1 cm

1.2 cm

2 cm

0.6 cm

48. A homeowner is planning to use carpet tiles to cover the floor of a room measuring 9 feet by 10 feet 8 inches. If the carpet tiles are 8 inches wide and 1 foot long and there are no gaps between the tiles as they are placed on the floor, how many carpets tiles will the home owner need to cover the floor of the room? **[2014]**

100

135

144

150

49. The length of rectangular window is 5 feet more than its width. The area of the windows is 36 square feet. Which equation could be used to find the dimension of the window? **[2013]**

w(w + 5) = 36

w + w + 5 = 36

w(w - 5) = 36

2w + 10 = 36

50. A person lent a sum of money at 4% simple interest and in 8 years the interest amount to Rs 340 less than the sum lent. Find the sum lent **[2005]**

Rs 400

Rs 450

Rs 500

Rs 550