### BCA Model Set - 2

If a number is divided by 15 it leaves a remainder 7. If trice the number is divided by 5 then what will the remainder be?

4

3

2

1

If A is an integer, which of the following expressions must be even?

A(A+2) – 1

A(A – 1) + 1

(A+1)(A+2)

(A – 1)(A +3)

Sum of first fifteen terms of series 3+19+35+… is

1725

1205

890

560

4. If a: b = 7: 5, b: c = 9: 11, find a: b: c?

63: 14: 55

63: 45: 55

14: 14: 15

7: 14: 15

5. The roots of quadratic equation 5x^{2} – 4x + 5 = 0 are

Real & Equal

Real & Unequal

Not real

Non-real and equal

6. The average age of three boys is 15 years. If their ages are in ratio 3 : 5 : 7, the age of the youngest boy is

21 years

18 years

15 years

9 years

7. A batsman makes a score of 87 runs in the 17th match and thus increases his average by 3. Find his average after 17th match

36

37

38

39

8. Find the value of P for which the point (–1, 3), (2, p) and (5, –1) are collinear.

9. A triangle with the angle of 90 ° is called

vertical triangle

supplementary triangle

right angle triangle

reflective triangle

10. Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?

57%

60%

65%

90%

11. The population of a town increased from 1,75,000 to 2,62,500 in a decade. The average percent increase of population per year is:

4.37%

5%

6%

8.75%

12. In an examination 38% of students fail in English and 61% pass in Nepali and 23% fail in both. Find the actual failure percentage?

46%

61%

54%

70%

13. After 38 liters of petrol were poured into the tank, it was still 5% empty. How much petrol must be poured into the tank in order to fill it?

4 Liter

6 Liter

2 Liter

1 Liter

14. The cost price of a radio is Rs.1500 and it was sold for Rs.1230, find the loss %?

18%

9%

15%

6%

15. The C.P of 15 books is equal to the S.P of 18 books. Find his gain% or loss%?

16 2/3% loss

100/3% loss

50/3% profit

100/3% loss

16. In a 300 m race A beats B by 22.5 m or 6 seconds. B’s time over the course is__________?

86 sec

80 sec

76 sec

65 sec

17. Ravi can do a piece of work in 30 days while Prakash can do it in 40 days. In how many days will they finish it together?

17 1/7 days

27 1/7 days

23 2/7 days

16 4/11 days

18. If 12 men do a work in 80 days, in how many days will 16 men do it?

30

40

50

60

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

3.5 years

4 years

4.5 years

5 years

20. One card is drawn from a well shuffled deck of 52 playing cards. The probability of getting a non-face card is

3/13

10/13

7/13

4/13

21. $\frac{2562}{\sqrt{x}}=25.62$

Find the value of x

1000

10000

10000000

None of above

22. If REASON is coded as 5 and BELIEVED as 7, then what is the code for GOVERNMENT?

10

9

8

6

23. Simplify ^{5}∕_{2} ÷ ^{1} ∕ _{x}

5x / 2

5 / 2x

2 / 5x

2x / 5

24. By solving inequality a - 7 < 5 - 3a, answer will be

a < 3

a < 5

a < 6

a < 7

25. A courtyard is 25 meter long and 16 meter board is to be paved with bricks of dimensions 20 cm by 10 cm. The total number of bricks required is :

16000

18000

20000

22000

26. The area of a square is 69696 cm square. What will be its diagonal ?

373.196 cm

373.110 cm

373.290 cm

373.296 cm

27. In a triangle ABC, if angle A = 72° , angle B = 48° and c = 9 cm then C is

69°

66°

60°

63°

28. (A ∪ B) ∪ C =

A ∩ (B ∪ C)

A ∪ (B ∩ C)

π

A ∪ ( B ∪ C)

29. A set with no element in it is known as

subset

singleton set

power set

Empty Set

30. Find the number of ways the letters of the word ‘RUBBER can be arranged?

450

362

250

180

31. Sham and Ram invested in a business and gained a profit which was divided in the ratio of 2 : 3. If Sham invested Rs. 40,000, then what was the amount invested by Ram?

Rs. 30,000

Rs. 45,000

Rs. 60,000

Rs. 75,000

32. Find the odd number

9, 16, 25, 36, 125, 169, 196, 225

36

196

169

125

33. Find the odd number

121, 275, 396, 385, 891, 932

275

396

891

932

34. Find the angle between the hour hand and the minute hand of a clock when the time is 5:45.

97.5°

90°

100°

95°

35. If 2 tables and 3 chairs cost Rs, 3500 and 3 tables and 2 chairs cost Rs. 4000, then how much does a table cost ?

500

1000

1500

2000

36. 217 x 217 + 183 x 183 = ?

84521

87487

80578

78458

37. The arrangement of x/2+y/3 =4 and x+y = 10 are given by:

x = 6 and y = -4

x = -6 and y = 4

x = 4 and y = 6

x = 6 and y = 4

38. In the event that 3x-5y = 5 and x/x+y = 5/7, then (x-y) =?

3

4

6

9

39. The cost of 16 pens and 8 pencils is Rs.352 and the cost of 4 pens and 4 pencils is Rs.96. Find the cost of each pen?

Rs.32

Rs.28

Rs.36

20

40. What is the are of an equilateral triangle of side 16 cm?

48√3 cm^{2}

128√3 cm^{2}

9.6√3 cm^{2}

64√3 cm^{2}

41. The length of each side of an equilateral triangle having an area of 4√3 cm^{2} is?

4/3 cm

3/4 cm

3 cm

4 cm

42. In what time will Rs 1000 become Rs 1331 at 10% per annum compounded annually?

1 year

4 year

3 year

4 year

43. Find the L.C.M. of 72, 108 and 2100.

39800

38700

36700

37800

44. The surface area of a cube is 216m^{3}. Find its volume.

188m^{3}

204 m^{3}

216 m^{3}

226 m^{3}

45. A sum of mney amount to Rs 4200 in 4 years and to Rs 4680 in years at simple interest. The rate of interest per annum is.

3312

3560

3590

3626

46. Out of 100 Oranges, 20% were eaten and 20% of the remaining were spoiled. Find the number of Oranges left?

16

32

64

128

47. 13% of a number is 117. Find the number.

750

800

850

900