B2-ইউনিট

1.

If X is above Y and Z , and Y is above Z and below W. Which one of the following statement is correct ?

Z is above Y

W is above Z

Z is above W

X is not above Z & W

Z is above Y

W is above Z

Z is above W

X is not above Z & W

2.

Maximum height of a thrown object--

u^{2} / 2 g

2 u / g

u^{2} / g

2 u^{2 / g}

u^{2} / 2 g

2 u / g

u^{2} / g

2 u^{2 / g}

3.

Two Ordered Pairs (a,b) and (c,d) will be equal, if and only if.

a=c& b+d

a ≅ c & b = d

a = c & b ≅ d

a ≅ c & b ≅ d

a=c& b+d

a ≅ c & b = d

a = c & b ≅ d

a ≅ c & b ≅ d

4.

$L e t i f f; R - > R (R i s a s e t o f r e a l n u m b e r) a n d f (x) = X^{2} t h e n -$

f^{- 1} (- 3) = - 3

f^{- 1} (- 3) = 3

f^{- 1} (- 3) = 0

f^{- 1 (- 3) =} \emptyset

f^{- 1} (- 3) = - 3

f^{- 1} (- 3) = 3

f^{- 1} (- 3) = 0

f^{- 1 (- 3) =} \emptyset

5.

If a,b and c are real numbers and a>b then-

a+c>b+c

ac>bc,if c>0

ac

all of three

a+c>b+c

ac>bc,if c>0

ac

all of three

6.

The complex number will be an Imaginary number if the real part of the complex number is -

1

-1

None

1

-1

None

7.

$Determine the value of \sqrt{i - \sqrt{- i}}$

\pm 2

\pm \sqrt{2}

\pm \sqrt{2 i}

1

\pm 2

\pm \sqrt{2}

\pm \sqrt{2 i}

1

8.

$Find the value of \sin^{2} 18 ° + \sin^{2} 36 ° + \sin^{2} 54 ° + \sin^{2} 72 °$

1

1 / \sqrt{2}

\frac{1}{2}

2

1

1 / \sqrt{2}

\frac{1}{2}

2

9.

Which one of the following is not true?

\cos 2 T = 2 \cos^{2} T - 1

\cos 2 T = 1 + 2 \sin^{2} T

\cos 2 T = \cos^{2} T - \sin^{2} T

both a and b

\cos 2 T = 2 \cos^{2} T - 1

\cos 2 T = 1 + 2 \sin^{2} T

\cos 2 T = \cos^{2} T - \sin^{2} T

both a and b

10.

Two forces of magnitude 3m and 2m respectively have a resultant R. if the first force is doubled, the magnitude of the resultant is doubled.Find the angle betuween forces?

90

°

120

°

135

°

145

°

90

°

120

°

135

°

145

°

11.

$F i n d t h e c e n t e r o f t h e c i r e l e 3 x^{2} + 3 y^{2} - 36 x + 12 y = 0$

(2,3)

(3,2)

18,-6

(6,-2)

(2,3)

(3,2)

18,-6

(6,-2)

12.

Which one of the following is not wrong?

\frac{d}{d x} (\sin x) + - \cos x

\frac{d}{d x} (co t x) = \cos e c x

\frac{d}{d x} (\cos e c x) = - \cos e c x c o t x

\frac{d}{d x} (\tan x) = s e c x

\frac{d}{d x} (\sin x) + - \cos x

\frac{d}{d x} (co t x) = \cos e c x

\frac{d}{d x} (\cos e c x) = - \cos e c x c o t x

\frac{d}{d x} (\tan x) = s e c x

13.

Determine the equation of the directer of parabola: $x^{2 + 8 x + 2 y = 0}$

2y=5/13

y=17/2

y = \frac{1}{2}

y=2/5

2y=5/13

y=17/2

y = \frac{1}{2}

y=2/5

14.

$D e t e r m i n e t h e v a l e o f {\int_{0}}^{π / 2} \sin x \sin 2 x d x = ?$

3/2

1

2/3

1/2

3/2

1

2/3

1/2

15.

Find out the next number of the series 2,9,6,7,18,5....

25

40

54

৯০

25

40

54

৯০

16.

The average of 3 numbers is 5. if 2 of the numbers are zero, what is the third number?

20

5

১০

১৫

20

5

১০

১৫

17.

Which letter does not belong in this series? Z,Y,X,W,V,Q

U

Q

W

Z

U

Q

W

Z

18.

Shelly is taller than Polly. Dolly is taller than Keya. Keva is shorter than Shirin. Polly and Shirin are of the same height. Hf the above is true, which of the followmy statement must also be truce.

Dolly is taller than Shirin

Dolly is taller than Shelly

Polly is shorter than Dolly

Shelly is taller than Keya

Dolly is taller than Shirin

Dolly is taller than Shelly

Polly is shorter than Dolly

Shelly is taller than Keya

19.

40% of 200 is what percent of 160?

100

80

60

50

100

80

60

50

20.

The angles of a triangle are in the ratio 2:3:4. The largest angle in the triangle is

40

°

70

°

75

°

80

°

40

°

70

°

75

°

80

°

21.

If N and P are both odd numbers, which of the following number must be an even number?

n+p

NP

np+2

n+p+1

n+p

NP

np+2

n+p+1

22.

Which of the following expresses the perimeter of a square region in terms of its area K?

4K

\sqrt[2]{k}

\sqrt{2 k}

\sqrt[4]{k}

4K

\sqrt[2]{k}

\sqrt{2 k}

\sqrt[4]{k}

23.

If radius of Earth is 4 times that of Moon, then how many times the surface area of the Moon is that of the Earth?

৪

১৬

46

৮

৪

১৬

46

৮

24.

X lives 4 miles west of Y’s house. P lives 6 miles north of Y's house & 4 miles west of-Z’s house. Find straight line distance in miles from X’s house to Z’s house?

৪

5

৮

১০

৪

5

৮

১০

25.

Which is the biggest of the following fractions?

7/8

8/9

11/13

17/18

7/8

8/9

11/13

17/18

26.

The sum of the 3 consecutive numbers i 123. the product of two smaller numbers is What?

৬২৫

1600

১৬৪০

১৬৮০

৬২৫

1600

১৬৪০

১৬৮০

27.

Recently DEMU Train has been introduced in Bangladesh. The abbreviation of DEMU is.

Diverse Electronics Multi-sector Unit

Diesel Electrical s Multiple Unite

Digital Electronics Modeling Unite

Diesel Electrical Modeling Unite

Diverse Electronics Multi-sector Unit

Diesel Electrical s Multiple Unite

Digital Electronics Modeling Unite

Diesel Electrical Modeling Unite

28.

$If f (x) = \frac{2 x + 1}{2 x - 1} then find the value of \frac{f (x) + 1}{f (x) - 1} will be .$

x

-2x

2x

x^{2}

x

-2x

2x

x^{2}

29.

Which dose not belong in this series?

melancholy

mourning

sadness

None

melancholy

mourning

sadness

None

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