A man brought a sharee by 500 taka and sold at 550 taka after 6 months. What is his yearly gain percentage?

১০%

15%

২০%

৩০%

১০%

15%

২০%

৩০%

2.

9, 36, 81, 144, ... What will be the next number of this series?

169

216

২২৫

256

169

216

২২৫

256

3.

Circle O with $∠$ AOC and $∠$ ABC is shown in the diagram below. What is the ratio of $∠$ AOC to $∠$ ABC?

1 : 2

3 : 1

2 : 1

1 : 3

1 : 2

3 : 1

2 : 1

1 : 3

4.

If the ratio of red, white, and black in a solution is 3:5:7, then what is the present of white is in that solution?

33.33%

50%

75%

66.66%

33.33%

50%

75%

66.66%

5.

If a page length and width is 2 meter and 2 meter. If you cut in length 10 centimeter and width 2 centimeter. Then how many pices you get?

2,000

২০০

20

20,000

2,000

২০০

20

20,000

6.

The value of $\frac{2^{- 14} + 2^{- 15} + 2^{- 16} + 2^{- 17}}{5}$ is how many times the value of 2^{(- 17)}?

\frac{3}{2}

5

3

\frac{5}{2}

\frac{3}{2}

5

3

\frac{5}{2}

7.

If $\frac{1}{x} - \frac{1}{x + 1} = \frac{1}{x + 4}$ ,then x could be

-4

-5

-2

-4

-5

-2

8.

If $\frac{p}{q} < 1$ ,p and q are positive integers, which of the following must be greater than 1?

\frac{q}{p}

\frac{2 p}{q}

\frac{q}{2 p}

\sqrt{\frac{p}{q}}

\frac{q}{p}

\frac{2 p}{q}

\frac{q}{2 p}

\sqrt{\frac{p}{q}}

9.

If 3 < x < 100, for how many values of x is $\frac{x}{3}$ the square of a prime number?

Two

Nine

Five

Three

Two

Nine

Five

Three

10.

If n = 3⁸ - 2⁸ which of the following is not a factor of n?

95

65

5

৩৫

95

65

5

৩৫

11.

What is the smallest integer n for which 25ⁿ >5¹² ?

৭

৯

১০

6

৭

৯

১০

6

12.

For positive numbers n ,n+1, n+2 , n+4 and n+8, the mean is how much greater than the median?

n+5

n+3

2

1

n+5

n+3

2

1

13.

$I f x (2 x + 1) = 0 a n d (x + \frac{1}{2}) (2 x - 3) = 0 t h e n x = ?$

\frac{1}{2}

\frac{3}{2}

\frac{- 1}{2}

\frac{1}{2}

\frac{3}{2}

\frac{- 1}{2}

14.

If n is a positive integer and the product of all the integers from 1 to n, inclusive, is multiple of 990, what is the least possible value of n?

১০

১১

৯

১০

১১

৯

15.

If $m n \neq 0$ and 25 percent of n eavals $37 \frac{1}{2}$ percent of m, what is the value of $\frac{12 n}{m}$ ?

1 s

\frac{35}{2}

১৮

১০

1 s

\frac{35}{2}

১৮

১০

16.

Number 29 is 10% of what number?

48

270

269

২৯০

48

270

269

২৯০

17.

The price of a cycle is reduced by 25%. The new price is reduced by a further 20%. The two reductions together are equal to a single reduction of-

৪৫%

৫৫%

25%

40%

৪৫%

৫৫%

25%

40%

18.

Musa wants to buy a dress priced at Tk 89.75. If the sales tax is 8%. What is the total amount he must pay for the dress?

95.35

90.70

96.93

100.50