### BCA Model Set - 3

1. A number, when divided by 45, leaves a remainder of 30. If the number is divided by 5, what should the remainder be?

1

2

3

0

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

3n - 2

3(n + 1)

n - 2

n/3

3. What is the sum of even numbers from 1 to 50?

550

650

750

850

4. If two time of A is equal to three times of B and also equal to four times of C. Then A:B:C is

2:3:4

3:4:2

4:6:3

6:4:3

5. An expression of the form ax^{2} + bx + x is called

Polynomial Equation

Equation

Identity Equation

None of These

6. The average marks of four subjects is 120. If 33 was misread as 13 during the calculation, what will be the correct average?

122

120

125

121

7. In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?

6.25

6.5

6.75

7

8. Which graph is parallel to x-axis?

y=x+1

y=2

x=3

x=2y

9. A triangle that has 3 equal sides and 3 equal angles is known as

scalene triangle

isosceles triangle

right angle triangle

equilateral triangle

10. 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, the number of valid votes that the other candidate got, was:

2700

2900

3000

3100

11. If population of certain city increases at the rate of 5%. If population in 1981 was 138915, then population in 1978 was?

1,20,000

1,10,000

1,00,000

90,000

12. A candidate got 35% of the votes polled and he lost to his rival by 2250 votes. How many votes were cast?

7500

5000

6000

3500

13. The salary of a worker is first increased by 30% and afterwards reduced by 30%. What is net change in his salary?

90% increase

45% increase

9% decrease

Same as before

14. A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent?

16 2/3%

20%

18%

25%

15. By selling 12 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?

16. If X can run 48m and Y 42m, then in a race of 1km, X beats Y by:_________?

140m

125m

100m

110m

17. A can do a job in 18 days and B can do it in 30 days. A and B working together will finish twice the amount of work in ------- days?

21 ½ days

22 ½ days

23 ½ days

12 ½ days

18. A, B and C can do a piece of work in 7 days, 14 days and 28 days respectively. How long will they taken, if all the three work together?

3 days

4 days

5 days

6 days

19. A man took loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was:

Rs. 2000

Rs. 10,000

Rs. 15,000

Rs. 20,000

20. The probability of getting a spade card from a well shuffled deck of 52 cards is

1/13

1/4

12/13

3/4

21. $\sqrt{248+\sqrt{64}}$

10

14

16

20

22. In a certain code, if BAD is written as YZW and SAID is written as HZRW, then LIFE will be written as:

ORUV

OSUV

OQVU

ORVW

23. Simplify 15ax^{2} ⁄ 5x

3ax^{2}

3ax

5ax^{2}

5ax

24. Inequality

25. The area of a rectangle is 460 square metres. If the length is 15% more than the breadth, what is the breadth of the rectangular field ?

18 meter

20 meter

22 meter

24 meter

26. The base of a triangle is 15 cm and height is 12 cm. The height of another triangle of double the area having the base 20 cm is :

22 cm

20 cm

18 cm

10 cm

27. If a = 9.7 cm, angle B = 64° and c = 8.8 cm then area of Δ ABC is

38.36 cm²

42.36 cm²

25 cm²

24.35 cm²

28. If P = {a,b,c,d,e}, Q = {a,c,e,d,t} and R = { t,d,c,b,e}, then the intersection of P, Q and R is

{a,c}

{a,c,e}

{c,d}

{c,d,e}

29. If X = {1, 2, 3, 4, 5} and Y = {2, 4, 5, 6, 8} then X - Y equals to

{6, 8}

{1, 3}

{4, 5}

{1, 6}

30. Find in how many different ways, the letters of the word ‘LEADING’ can be arranged in such way that the vowels always come together?

548

426

720

790

31. John, Tyson and Mike started a business by investing Rs.1,00,000, Rs. 1,50,000 and Rs. 1,75,000 respectively. Find the share of Mike, out of an annual profit of Rs. 46,000.

Rs. 15941.93

Rs. 16943. 59

Rs. 18941. 17

Rs. 19971. 03

32. Find the missing number

15, 33, 69, 141, ___, 573, 1149

151

169

285

456

33. Finding the missing number

6, 24, ___ , 120, 210, 336

36

60

72

95

34. The angle between the minute hand and the hour hand of a clock when the time is 4.20, is:

0°

10°

5°

20°

35. If an object travels at five feet per second, how many feet does it travel in one hour?

1500

1800

2000

2200

36. If 3^{x-y} = 27, 3^{x+y} = 243 then find the value of x

2

8

4

1

37. If 3x+7y= 75 and 5x-5y= 25, then what is the estimation of x+y?

14

15

16

17

38. On the off chance that 4x+6y =32 and 4x-2y= 4, then 8y =?

24

28

30

36

39. The value of the variable in the equation 5(-7x + 3) = x - 21 is _____________

1

2

-1

-2

40. If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area?

120 cm^{2}

130 cm^{2}

312 cm^{2}

315 cm^{2}

41. The altitude of an equilateral triangle of side 2√3 cm is?

3/2 cm

1/2 cm

3/4 cm

3 cm

What is the area of square field whose side of length 15 m?

225 sq m

220 sq m

100 sq m

30 sq m

What is the area of a square field whose diagonal of length 20 m?

300 sq m

250 sq m

200 sq m

400 sq m

42. Find the amount on Rs.5000 in 2 years, the rate of interest being 4% per first year and 5% for the second year?

Rs.460

Rs.5640

Rs.5460

Rs.5604

43. Find the greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively.

129

136

127

199

44. Find the volume and the surface area of a surface of diameter 14 cm

116 cm^{2}

332 cm^{2}

498 cm^{2}

616 cm^{2}

45. How much simple interest will Rs 3000 earn in 18 month at 5% per annum?

225

250

262

310

46. Find 25% of 75 kg.

1.875 kg

8.75 kg

18.75 kg

87.5 kg

47. There are 50 red cars and 20 blue cars in a toy store. If the total number of toys in the store is 80, calculate the percentage of blue cars.

20%

25%

30%

35%