### BCA Model Set - 4

A number when divided by 899 gives a remainder 63. What remainder will be obtained by dividing the same number by 29?

1

3

5

7

If a and b are odd integers, which of the following must be an even integer?

a(b – 2)

ab + 4

(a + 2)(b – 4)

3a + 5b

What is the sum of odd numbers from 1 to 50?

525

625

750

1200

4. What must be added to each term of ratio 7:11, So as to make it equal to 3:4 ?

8

7.5

6.5

5

5. If ax^{2} + bx + c = 0, Then {a,b} is called

Factors

Solution set

Roots

None of these

6. In a boat there are 8 men whose average weight is increased by 1 kg when 1 man of 60 kg is replaced by a new man. What is weight of new comer?

70 years

66 years

69 years

68 years

7. Average of five numbers is 27. If one number is excluded the average becomes 25. The excluded number is

35

45

55

65

8. The Distance between the point P(1,4) and Q(4,0) is

4

5

6

3√3

9. A triangle that has no equal sides and no equal angles is known as

isosceles triangle

scalene triangle

equilateral triangle

right angle

10. A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had:

588 apples

600 apples

672 apples

700 apples

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. If the price of gold increases by 50%, find by how much the quantity of ornaments must be reduced, so that the expenditure may remain the same as before?

27 2/23 %

33 1/3 %

30%

19%

13. Find the 37.5% of 976 =

325

312

366

398

14. An article is bought for Rs.675 and sold for Rs.900, find the gain percent?

16 2/3%

30%

33 1/3%

33 1/6%

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%?

8

9

12

16

16. In a 100 m race, A can beat B by 25 m and B can beat C by 4 m. In the same race, A can beat C by:________?

21 m

26 m

28 m

29 m

17. A and B together can do a work in 6 days. If A alone can do it in 15 days. In how many days can B alone do it?

10

15

12

16

18. By selling an article at Rs.600, a profit of 25% is made. Find its cost price?

Rs.350

Rs.400

Rs.573

Rs.480

19. A certain amount earns simple interest of Rs. 1750 after 7 years. Had the interest been 2% more, how much more interest would it have earned?

Rs. 258

Rs 245

Rs 350

Rs 400

20. Probability MCQ Class 10 Question 3. The probability of getting less than 3 in a single throw of a die is

1/3

1/2

1/4

2/3

21. What is the square root of 0.16

0.4

0.04

0.004

4

22. If HARD is coded 1357 and SOFT is coded as 2468, what do the figures 21448 stand for ?

SHOOP

SHOOL

SCOOL

SHOOT

23. ${\frac{1}{64}}^{-\frac{1}{3}}$

${4}^{-1}$

$4$

${2}^{-1}$

$2$

24. Inequality

25. One side of rectangular field is 15 meter and one of its diagonals is 17 meter. Then find the area of the field.

120m^{2}

130m^{2}

140m^{2}

150m^{2}

26. Find the circumference of a circle, whose area is 24.64 meter sqaure

17.90m

17.80m

17.60m

17.40m

27. If sinx = 3/4, then cosx = ?

2/3

√ 3 / 2

√ 7 / 4

1 / 2

28. The cardinality of A = { 5,6,3,2,3, 2} is

6

5

4

3

29. Individual Objects in a set are called

element

set

list

None of above

30. Find the value of ^{20}C_{17}

1260

1140

2580

3200

31. A starts business with Rs. 3500 and 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?

Rs. 7500

Rs. 8000

Rs. 8500

Rs. 9000

32. Find the missing number

8, 16, 32, 64, 128, 256, ___, 1024

423

512

896

980

33. 11, 13, 17, 19, 23, 29, _____

31

33

51

38

34. How many minute are ther in 8 hour 15 minutes

895

480

485

490

35. If x = 1 - q and y = 2q + 1, then for what value of q, x is equal to y ?

0

1

-1

-2

36. The price of 2 oranges, 3 bananas and 4 apples is Rs. 15. The price of 3 oranges, 2 bananas and 1 apple is Rs. 10. What will be price of 4 oranges, 4 bananas and 4 apples ?

Rs. 10

Rs. 15

Rs. 20

Rs. 25

37. On solving 2x+y=8 and 3y=4+4x, we get:

x=3, y=-4

x=2, y=4

x=1,y=4

x=4,y=1

38. If 2x+3y = 29 and y = x+3, what is the estimation of x?

4

5

6

7

39. The value of x in the equation 4x/3 = 7 - x is _________

3

4

5

6

40. Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm.

225 cm^{2}

275 cm^{2}

285 cm^{2}

315 cm^{2}

41. The diagonals of a rhombus are 15 cm and 20 cm. Find its area?

120 sq m

300 sq m

150 sq m

480 sq m

42. Find the compound intrest on Rs 5000 at 6% annum for 2 years

602

618

653

669

43. Find the largest number which divides 62, 132 and 237 to leave the same remainder in each case.

36

38

45

35

44. The diagonal of a cube measures 5√3 cm. Its volume is

102 cm^{3}

105 cm^{3}

111 cm^{3}

125 cm^{3}

45. A borrows Rs 800 at the rate of 12% per annum simple interest and B borrows Rs 910 at the rate of 10% per annum simple interest. In how many years will their amount of debts be equal to?

8 years

13 years

19 years

22 years

46. What is 60 % of 30 litres?

18 litres

20 litres

22 litres

24 litres

47. Convert 12.5% as a fraction.

1/12

1/10

1/8

1/6