Admission - উচ্চতর গণিত - Page 166 - Prothom Sir

1.

which of the following must be false?

A is at the first place

A is at the third place

A is at the second place

A is at the fourth place

A is at the first place

A is at the third place

A is at the second place

A is at the fourth place

2.

If a and B are together , then which of the following must be necessarily true?

C is not at the first place

A is at the third place

D is at the first place

C is at the first place

C is not at the first place

A is at the third place

D is at the first place

C is at the first place

3.

The first parliamentary election in Bangladesh was held in

1970

১৯৭২

1973

১৯৭৪

1970

১৯৭২

1973

১৯৭৪

4.

Find the answer that best completes the analogy: people : democracy :: wealthy:

Oligarchy

oligopoly

Plutocracy

Autocracy

Oligarchy

oligopoly

Plutocracy

Autocracy

5.

How many times has the Bangladesh Constitution been amended?

14

১৫

১৬

17

14

১৫

১৬

17

6.

There is a number which is very peculiar . This number is three times the sum of its digits. Can you find the number ?

24

২৭

৩২

৩৬

24

২৭

৩২

৩৬

7.

The day before yesterday is three days after Saturday .What day is it today?

Monday

Tuesday

Wednesday

Friday

Monday

Tuesday

Wednesday

Friday

8.

People should be held accountable for ther own behavior, and if holding people accountable for their own behavior entails capital punishment , then so be it . However , no person should be held accountable for behavior over which he or she had no control. Which of the following is the most logical conclusion of the argument above?

People should not be held accountable for the behavior of other people.

People have control over their own behavior.

People cannot control the behavior of other people.

People have control over behavior that is subject to capital punishment .

People should not be held accountable for the behavior of other people.

People have control over their own behavior.

People cannot control the behavior of other people.

People have control over behavior that is subject to capital punishment .

9.

Cars are safer than planes. Fifty percent of plane accidents result in death ,while only one percent of car accidents result in death . which of the following , if true, would most seriously weaken the argument above?

Planes are inspected more often than cars.

The number of car accidents is several hundred thousand times higher than the number of plane accidents.

Pilots never fly under the influence of alchohol, while car drivers often do.

Plane accidents are usually the fault of air traffic controllers, not pilots.

Planes are inspected more often than cars.

The number of car accidents is several hundred thousand times higher than the number of plane accidents.

Pilots never fly under the influence of alchohol, while car drivers often do.

Plane accidents are usually the fault of air traffic controllers, not pilots.

10.

Seismograph is used to measure -

Eathquake

Weather

both

None

Eathquake

Weather

both

None

11.

Of the following countries , which is not a Scandinavian country ?

Sweden

Netherlands

Finland

Norway

Sweden

Netherlands

Finland

Norway

12.

$θ$ একটি ধনাত্মক সূক্ষকোণী হলে যেখানে সমীকরণ $2 \sin^{2} θ = 3 \cos θ$ : $θ$ এর মান কত?

90 °

120 °

45 °

60 °

90 °

120 °

45 °

60 °

13.

h উচ্চতা হতে পতনশীল বস্তুকণার গতি হবে-

\sqrt{8}

\sqrt{8 h}

\sqrt{\frac{g h}{2}}

\sqrt{2 g h}

\sqrt{8}

\sqrt{8 h}

\sqrt{\frac{g h}{2}}

\sqrt{2 g h}

14.

বিপরীত বৃত্তীয় ফাংশন $s e c^{2} (\tan^{- 1} 2) + \cos e c^{2} (c o t^{- 1} 3)$ এর মান কত?

12

-15

3

১৫

12

-15

3

১৫

15.

$\tan^{2} x + c o t^{2} x = 2$ এর সমাধান হবে-

n π \pm \frac{π}{4}

n π \pm \frac{π}{3}

n π \pm \frac{π}{2}

n π + \frac{π}{2}

n π \pm \frac{π}{4}

n π \pm \frac{π}{3}

n π \pm \frac{π}{2}

n π + \frac{π}{2}

16.

$f (x) = x^{2}, g (x) = x^{3} + 1$ , h(x)=x+2 হলে hogof (-3)=?

730

731

732

733

730

731

732

733

17.

sin (x+1) এর পর্যায় কত?

4 π

\frac{π}{2}

2 π

কোনোটিই নয়

4 π

\frac{π}{2}

2 π

কোনোটিই নয়

18.

নিচের কোন ম্যাটিক্স সমঘাতি ম্যাটিক্স?

[\begin{matrix} 2 & - 2 \\ 2 & - 2 \end{matrix}]

[\begin{matrix} 2 & 1 \\ - 2 & - 1 \end{matrix}]

[\begin{matrix} 1 & 3 \\ - 2 & - 2 \end{matrix}]

কোনটিই নয়

[\begin{matrix} 2 & - 2 \\ 2 & - 2 \end{matrix}]

[\begin{matrix} 2 & 1 \\ - 2 & - 1 \end{matrix}]

[\begin{matrix} 1 & 3 \\ - 2 & - 2 \end{matrix}]

কোনটিই নয়

19.

$\int \frac{dx}{e^{x} + e^{- x}}$ এর মান কত?

x + c

e^{x} + c

\tan^{- 1} x + c

\tan e^{x} + c

x + c

e^{x} + c

\tan^{- 1} x + c

\tan e^{x} + c

20.

নিচের কোন ফাংশনটির অন্তরজ ও যোগজ মান একই?

Inx

log x

e^{x}

1

Inx

log x

e^{x}

1