1.

$i f x = \frac{\sqrt{3} - 2}{\sqrt{2} + 1}$ then which of the following equals to x - 4 ?

- 2 \sqrt{2} + \sqrt{6} - \sqrt{3} - 2

- 2 \sqrt{2} + \sqrt{6} - \sqrt{3} + 2

\sqrt{3} - 2

\sqrt{3} + 2

- 2 \sqrt{2} + \sqrt{6} - \sqrt{3} - 2

- 2 \sqrt{2} + \sqrt{6} - \sqrt{3} + 2

\sqrt{3} - 2

\sqrt{3} + 2

2.

Solve the equation $2^{2 x + 1} + 4^{x} = 48$

1

2

3

৪

1

2

3

৪

3.

By how much is the greatest of six consecutives even integers greater than the smallest among them?

2

6

১০

12

2

6

১০

12

4.

The price of commodity X increases by 40 paisa every year, while the price of commodity Y increases by 15 paisa every year. If in 2023, the price of commodity X was Tk. 4.20 and that of Y was Tk. 6.30, in which year commodity X will cost 40 paisa more than the commodity Y?

২০৩২

2033

2034

২০৩৫

২০৩২

2033

2034

২০৩৫

5.

Which of the following numbers can be removed from the set S = {0, 2, 4, 5, 9} without changing the average of the set ?

০

৪

5

৯

০

৪

5

৯

6.

The number of mosquitoes, M(x) in millions of Dhaka city depends on rainy seasons' rainfall, x, in inches approximately as: M(x)=12x-x². What would be the maximum of mosquitoes in Dhaka city?

6

৩৬

12-2x

12

6

৩৬

12-2x

12

7.

$I f a^{x} = b^{y}, b y c a n d c^{z} = a, w h a t i s t h e v a l u e o f x y z ?$

০

abc

1

2

০

abc

1

2

8.

What is the value of the 11^th term of the geometrical progression 1, 2, 4, 8, 16,....?

1240

1024

5240

1000

1240

1024

5240

1000

9.

A man saves Tk 20,000 in 10 years. He saves Tk 200 more every year than the previous year, except the first year. How much does he save in the first year?

1200 Tk

1100 Tk

1000 Tk

500 Tk

1200 Tk

1100 Tk

1000 Tk

500 Tk

10.

Find the value of x for the logarithmic function log, (4x-3) = 2.

1

3

2 or 1

3 or 1

1

3

2 or 1

3 or 1

11.

Arko is twice as old as Adeeb. Eight years ago, Arko was 6 years younger than three times Adeeb's age at that time. How old will Arko be in 5 years?

45

47

৪৯

53

45

47

৪৯

53

12.

A salesman's commission is 5% on all sales up to Tk. 10,000 and 4% of all sales exceeding this amount. He remits Tk. 31,100 to the parent company after deducting his commission. His sales were worth:

Tk.32,500

Tk.35,000

Tk.35,100

Tk.36100

Tk.32,500

Tk.35,000

Tk.35,100

Tk.36100

13.

If a man reduces the selling price of a fan from Tk. 400 to Tk. 380, his loss increases by 2%. The cost price of the fan is:

Tk.480

Tk.600

Tk. 1000

Tk. 1060

Tk.480

Tk.600

Tk. 1000

Tk. 1060

14.

Tea worth Tk. 126 per kg and Tk. 135 per kg are mixed with a third variety in the ratio 1:1:2. If the mixture is worth Tk. 153 per kg, then the price of third variety per kg will be:

Tk. 169.5

Tk. 170

Tk.175.50

Tk. 180