Job Solution - গণিত - Page 53 - Prothom Sir

1.

$I f \frac{Q}{P} = \frac{1}{4} . W h a t i s t h e v a l u e o f \frac{P + Q}{P - Q} ?$

5/3

2/3

৩/৫

৩/৪

5/3

2/3

৩/৫

৩/৪

2.

The difference between the present ages of A and D is years. Seven years ago. The ratio of their ages was 5:7 respectively. What is D's present age?

56 years

49 years

58 years

45 years

56 years

49 years

58 years

45 years

3.

$I f o n e f a c t o r o f 2 a^{4} + 5 a^{3} - 5 a + 2 i s (a - 1), w h a t i s o t h e r f a c t o r ?$

2 a^{2} - a + 2

2 a^{2} - a - 2

a-2

a^{2} - 1

2 a^{2} - a + 2

2 a^{2} - a - 2

a-2

a^{2} - 1

4.

$∠ A a n d ∠ B a r e s u p p l e m e n t a r y a n g l e s . I f ∠ A = 115 t h e n ∠ B = ?$

85

°

65

°

183

°

75

°

85

°

65

°

183

°

75

°

5.

If (6x-7, 13) = (1,3x+2y), then value of ( x, y)?

(1,5)

(5, 1)

(0, 4)

(4,5)

(1,5)

(5, 1)

(0, 4)

(4,5)

6.

a tradesman sold an article at a losst of 20% If the selling price had been inncresed by 100 taka. there would have been a gain of 5% What was the cost price of the aricle?

375 taka

400 taka

425 taka

450 taka

375 taka

400 taka

425 taka

450 taka

7.

$I f f (x) = \frac{x}{x - 2} t h e n v a l u e o f f^{- 1} (2) ?$

2

3

৪

5

2

3

৪

5

8.

If 3x-5y=5 and $\frac{x}{x + y} = \frac{5}{7} t h e n w h a t i s t h v a l u e o f x - y i s -$

-3

3

6

৯

-3

3

6

৯

9.

$w h a t i s f a c e t o r x^{3} - 3 x^{2} + 4 x - 4 ?$

(x - 2) (x^{2} - x + 2)

(x - 2) (x^{2} - x - 2)

(x - 2) (2 x^{2} - x + 4)

(x^{2} - 2) (x^{2} - 2 x + 4)

(x - 2) (x^{2} - x + 2)

(x - 2) (x^{2} - x - 2)

(x - 2) (2 x^{2} - x + 4)

(x^{2} - 2) (x^{2} - 2 x + 4)

10.

A, B and C working individually can complete a task in 30 days, 15 days and 10 days respectively. If A starts workign alone and B and C hepls A on every 2 nd and 3 rd day respectively , how long will it task to be completed?

15 days

14 days

12 days

None of these

15 days

14 days

12 days

None of these

11.

Jamil can run 1 km in 4 minute. Heas a car that has a top speed of 75 km/hour . Jamil's speed id what percentage of his top speed?

১০%

২০%

25%

৩০%

১০%

২০%

25%

৩০%

12.

A certain amount of money earning simple interest becomes 7/5th of the initial amount in 4 years . What is the interest rate?

৪%

৬%

৮%

১০%

৪%

৬%

৮%

১০%

13.

For which value of P will the square root of $4 x^{2} - p x + 9 b e a n i n t e g e r$

20

৯

12

১৬

20

৯

12

১৬

14.

A better scored 87 runs in her 17 th innings , which increased her carrer average by 3 rund. What is the average run after the3 17 th innings?

39

৩৫

42

40

39

৩৫

42

40

15.

A boat has a crack in its bull which is leaking water into the boat and could pump which can pump the water out in 8 hours . If the boat is 168 km away from the shore and the pump is running what is the minimum speed the boat should run at so that it can reach the shore before sinking?

5km./hour

6 km/hour

7 km/hour

8km/hour

5km./hour

6 km/hour

7 km/hour

8km/hour

16.

In a class, if 4 students sit on each bench there are 3 empty benches, but 6 students have to stand if 3 students sit on each bench. How many students are there in that class?

50

৬০

৭০

80

50

৬০

৭০

80

17.

If X is the difference if the squaresof two consecutive even numbers, which of the following numbers is a divisor of X?

৪

৭

৮

৯

৪

৭

৮

৯

18.

Eight years back Adil's age ws 1/8 th of Zabers age . ten years from now, Zaber's age will be double of Adil's age. Howm many old is Adil Now?

23

২১

17

১১

23

২১

17

১১

19.

০.০১ এর ১% কত?

0.1

1

০.০০১

০.০০০১

0.1

1

০.০০১

০.০০০১

20.

১+৩+৫+৭.... ধারাটির n সংখ্যক পদের সমষ্টি কত?

n(n+1)

n(n-1)

n^{2}

n^{2} + 1

n(n+1)

n(n-1)

n^{2}

n^{2} + 1