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### BCA Model Set - 1

1. A number divided by 10 gives 6 as remainder. What would be the remainder if the same number is divided by 5?

1

2

3

4

2. If n is an odd integer, which of the following must also be an odd integer?

2n

2n2

n2 + 2n

n2 + 3n

3. Arithmetic mean between a and b is

$\frac{a+b}{2}$

$\frac{b-a}{2}$

$\frac{a+b}{2}$

$\sqrt{ab}$

4. If A : B = 2 : 3 and B : C = 4 : 5 then A:B:C is

2 : 3 : 5

5 : 4 : 6

8 : 12 : 15

6 : 4 : 5

5. Which of the following is not a quadratic equation

x2 + 3x - 5 = 0

x2 + x3 + 2 = 0

3 + x + x2 = 0

x2 - 9 = 0

6. The Average of the first five multiple of 9 is

20

27

28

30

7. Average weight of 10 people increased by 1.5 kg when one person of 45 kg is replaced by a new man. Then weight of the new man is

50

55

60

65

8. Distance between (2,-2) and (-1,x) is 5 find the value of x.

-2

2

-1

1

9. A triangle that has 2 equal sides and 2 equal angles is known as

isosceles triangle

equilateral triangle

scalene triangle

right angle

10. 60% of a number is added to 120, the result is the same number. Find the number?

300

200

400

500

11. 96% of the population of a village is 23040. The total population of the village is?

32256

24000

24936

25640

12. The salary of Mr. X is 30% more than that of Mr. Y . Find what percent of Mr. Y’s salary is less than Mr. X’s?

30%

25 1/13 %

23 1/13 %

22 1/13 %

13. A and B’s salaries together amount to Rs. 2,000. A spends 95% of his salary and B spends 85% of his. If now their savings are the same, what is A’s salary?

Rs.500

Rs.1250

Rs.750

Rs.1500

14. A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?

Rs.1000

Rs.1140

Rs.860

Rs.760

15. The C.P of 10 pens is equal to the S.P of 12 pens. Find his gain % or loss%?

16 2/3% profit

50/6% profit

16 2/3% loss

100/3% loss

16. In a kilometer race, A beats B by 50 meters or 10 seconds. What time does A take to complete the race?

200 sec

190 sec

210 sec

150 sec

17. A and B complete a work in 6 days. A alone can do it in 10 days. If both together can do the work in how many days?

3.75 days

4 days

5 days

6 days

18. If 20 pencil cost Rs 90, then the cost of 9 pencil is ?

Rs 45.87

Rs 40.50

Rs 50.24

Rs 42

19. Find the simple interest on Rs 5200 for 2 years at 6% per annum

Rs 450

Rs 524

Rs 600

Rs 624

20. Three coins are tossed simultaneously. The probability of getting all heads is

1

1/2

1/4

1/8

21. √ 5625 = ?

55

65

75

85

22. If PUNCTUAL can be written as 47819765, how can LUNA be written in that code?

7586

5678

5786

5867

23. (17)3.5 x (17)? = 178

2.29

2.75

4.25

4.5

24. By solving inequality 6x - 7 > 5, answer will be

x > 6

x < 5

x < 7

x > 2

25. A towel, when bleached, was found to have lost 20% of its length and 10% of its breadth. The percentage of decrease in area is ?

25%

26%

27%

28%

26. What will be the cost of gardening 1 meter boundary around a rectangular plot having perimeter of 340 meters at the rate of Rs. 10 per square meter ?

Rs. 3430

Rs. 3440

Rs. 3450

Rs. 3460

27. Value of tan30°/cot60° is:

1/√2

1/√3

√3

1

28. Number of elements in power set {1, 2, 3} are

5

6

7

8

29. If the universal set U = {2, 4, 6, 8, 10} and F = { 4,10}, then F ' is

{1,3,5,7,9}

{2,6,8}

{4,6,8,10}

{5,7,9}

30. How many words can be formed by using letters of the word ‘NEPAL’?

50

72

85

120

31. Ram and Shyam started a business investing Rs. 84,000 and Rs. 28,000 respectively. In what ratio the profit earned after 2 years be divided between Smith and Kate respectively?

2 : 3

3 : 1

13 : 3

None of the Above

32. Find the wrong number
6, 9, 11, 12, 14, 15, 25

9

11

14

25

33. 9, 12, 17, 20, 25, 28, 34, 36, 41

25

28

34

41

34. Find the angle between the hour hand and the minute hand of a clock when the time is 12:15

97.5°

90°

100°

95°

35. To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of bucket is reduced to two-fifth of its present ?

52.5

62.5

72.5

82.5

36. If a+b=5 and 3a+2b=20,then (3a+b)will be :

20

15

25

30

37. Solve the equation for x : 6x - 27 + 3x = 4 + 9 - x

4

5

6

-4

38. The cost of 2 chairs and 3 tables is Rs.1300. The cost of 3 chairs and 2 tables is Rs.1200. The cost of each table is more than that of each chair by?

Rs.70

Rs.75

Rs.50

Rs.60

39. In a three digit number, the hundred digit is 2 more than the tens digit and the units digit is 2 less than the tens digit. If the sum of the digits is 18, find the number?

975

864

753

684

40. Find the area of a rhombus whose side is 25 cm and one of the diagonals is 30 cm?

225 sq.m

600 sq.m

720 sq.m

480 sq.m

41. The area of a triangle is with base 4m and height 5m?

20 sq m

10 sq m

5 sq m

3 sq m

42. What will be the compound interest on a sum of Rs. 25,000 after 3 years at the rate of 12% p.a.?

Rs. 9000.30

Rs. 9720

Rs. 10123.20

Rs. 10483.20

43. Find the H.C.F. of 108, 288 and 360.

30

36

40

46

44. Find the volumn and surface area of cuboid 10m long, 8m broad and 4m high?

256 m2

284 m2

304 m2

326 m2

45. At which sum, the simple interest at the rate of 314

2311.25

2355.30

2584.60

2716.90

46. What is 15% of 3 litres?

150 ml

300 ml

450 ml

600 ml

48. The agricultural yield increases from 80 tons to 90 tons. Find the percentage increase in the yield.

10 %

12.5 %

15 %

17.5 %

I there is