কোন শর্তে $a^{0} = 1 হ য় ?$

a=0

a

\neq

0

a>0

a

\neq

1

a=0

a

\neq

0

a>0

a

\neq

1

2.

৩ জন পুরুষ বা ৫ জন বালক একটি কাজ ১৬ দিনে করতে পারে। ২ জন পুরুষ এবং ২ জন বালক একত্রে ঐ কাজ কয় দিনে শেষ করতে পারবে?

12

১৫

১৮

কোনোটিই নয়

12

১৫

১৮

কোনোটিই নয়

3.

দুই অঙ্কবিশিষ্ট একটি সংখ্যার অঙ্কদ্বয় স্থান পরিবর্তন করলে সংখ্যাটির মান পূর্বাপেক্ষা ৩৬ বৃদ্ধি পায়। সংখ্যাটির অঙ্কদ্বয়ের পার্থক্য কত?

3

৪

6

কোনোটিই নয়

3

৪

6

কোনোটিই নয়

4.

xএবং y দুটি ধনাত্মক সংখ্যা এবং x = y - (50/y)। যদি y এর মান দ্বিগুণ করা হয় তবে x এর মান-

কমবে

দ্বিগুণ হবে

দ্বিগুণের চেয়ে বেশি বাড়বে

কোনোটিই নয়

কমবে

দ্বিগুণ হবে

দ্বিগুণের চেয়ে বেশি বাড়বে

কোনোটিই নয়

5.

একটি দোকান থেকে y টাকা দিয়ে 16টি কলম কেনা যায়। কলমের মূল্য যদি 20% কমানো হয় তবে z টাকা দিয়ে কয়টি কলম কেনা যাবে?

20z/y

80y/z

20y/z

কোনোটিই নয়

20z/y

80y/z

20y/z

কোনোটিই নয়

6.

৪৫০ টাকা বার্ষিক ৬% সুদে-আসলে কত বছরে ৫৫৮ টাকা হবে ?

৩ বছরে

৪ বছরে

৫ বছরে

৬ বছরে

৩ বছরে

৪ বছরে

৫ বছরে

৬ বছরে

7.

___ এর মান কত ?

0.36

0.51

0.81

০.৬১

0.36

0.51

0.81

০.৬১

8.

A trader paid Tk. 300 for a shipment of x identical pens. The trader gave two pens free of cost and sold each for Tk. 5 more than the average cost of the x pens. If the total revenue from the sale of the pens was Tk. 120 more than the cost of the shipment, how many pens were in the shipment?

20

24

25

৩০

20

24

25

৩০

9.

If the average of 5 positive integers is 40 and the difference between the largest and the smallest of these 5 numbers is 10, what is the maximum value possible for the largest of these integers?

44

48

50

52

44

48

50

52

10.

A customer came to a shop and asked the shop manager to give a 20% discount on the listed price of a pen. Moreover, for every 10 pens purchased, he wanted two pens free of cost. The manager agreed to the customer's offer because he could still make a profit of 20% on the cost price of a pen. What was the listed price of the pen?

1.75x

1.8x

1.9x

2x

1.75x

1.8x

1.9x

2x

11.

The fee for a course was increased by x percent from that of the previous year. Arif, a meritorious student, got y percent waiver on his course fee for his extraordinary performance. If the fee collected from Arif is 80% of the course fee of the previous year, what is the value of yyy in terms of xxx?

x + 40

100(x+40)/(x + 100)

60x + 10

None

x + 40

100(x+40)/(x + 100)

60x + 10

None

12.

A box contains 200 pens of which 25% are red and the rest are black. You sold a certain number of pens, of which 60% were black. You found that among the remaining pens, only 20% are red. How many pens did you sell?

50

60

৭৫

80

50

60

৭৫

80

13.

In a college, the ratio of foreign to local students is 3:7. If three-fourths of the local students are female and one-quarter of the foreign students are female, what fraction of the combined students is female?

50%

60%

৬৪%

65%

50%

60%

৬৪%

65%

14.

Apu, Babu, and Tipu bought a football. Apu paid the largest amount of money, Tipu paid twice as much as Babu, and Babu paid the least. Apu paid Tk. 70 less than the difference between what Babu and Tipu paid. If Babu and Tipu had each paid Tk. 10 less, then Tipu would have paid twice the amount Babu paid. What is the price of the football?

৯০

100

১২০

130

৯০

100

১২০

130

15.

$4 x^{2} - 16 x - 17 ?$ then which of the following is correct?

x > y > z

x > z > y

y > x > z

z > x > y

x > y > z

x > z > y

y > x > z

z > x > y

16.

When the integer n is divided by 4, the quotient is q and the remainder is 1. But when it is divided by 7, the quotient is q and the remainder is 5. The value of 3q-2p is:

-2

-1

1

2

-2

-1

1

2

17.

x years ago, Apu was one-fifth as old as Tipu was then. Tipu will be twice as old as Apu. What is the ratio of Apu's current age to Tipu's current age?

2 : 5

5 : 7

3 : 7

5 : 13

2 : 5

5 : 7

3 : 7

5 : 13

18.

A 250-meter-long train passes a person in 10 seconds, and the person was running at 5 km/h in the opposite direction of the train. What is the speed of the train in km/h?

50

55

৭৫

85

50

55

৭৫

85

19.

A team of 2 men and 5 women completed one-fourth of a project in 3 days. After 3 days, one woman left and one man joined the team. The newly formed team took 2 days to complete another one-fourth of the project. How many days will it take to complete the project alone?

6

৪

12

24

6

৪

12

24

20.

What is the minimum value of $4 x^{2} - 16 x - 17 ?$

০

-20

-30

-33

০

-20

-30

-33

গণিত

৩ জন পুরুষ বা ৫ জন বালক একটি কাজ ১৬ দিনে করতে পারে। ২ জন পুরুষ এবং ২ জন বালক একত্রে ঐ কাজ কয় দিনে শেষ করতে পারবে?

xএবং y দুটি ধনাত্মক সংখ্যা এবং x = y - (50/y)। যদি y এর মান দ্বিগুণ করা হয় তবে x এর মান-

একটি দোকান থেকে y টাকা দিয়ে 16টি কলম কেনা যায়। কলমের মূল্য যদি 20% কমানো হয় তবে z টাকা দিয়ে কয়টি কলম কেনা যাবে?

৪৫০ টাকা বার্ষিক ৬% সুদে-আসলে কত বছরে ৫৫৮ টাকা হবে ?

___ এর মান কত ?

A trader paid Tk. 300 for a shipment of x identical pens. The trader gave two pens free of cost and sold each for Tk. 5 more than the average cost of the x pens. If the total revenue from the sale of the pens was Tk. 120 more than the cost of the shipment, how many pens were in the shipment?

If the average of 5 positive integers is 40 and the difference between the largest and the smallest of these 5 numbers is 10, what is the maximum value possible for the largest of these integers?

A box contains 200 pens of which 25% are red and the rest are black. You sold a certain number of pens, of which 60% were black. You found that among the remaining pens, only 20% are red. How many pens did you sell?

In a college, the ratio of foreign to local students is 3:7. If three-fourths of the local students are female and one-quarter of the foreign students are female, what fraction of the combined students is female?

When the integer n is divided by 4, the quotient is q and the remainder is 1. But when it is divided by 7, the quotient is q and the remainder is 5. The value of 3q-2p is:

x years ago, Apu was one-fifth as old as Tipu was then. Tipu will be twice as old as Apu. What is the ratio of Apu's current age to Tipu's current age?

A 250-meter-long train passes a person in 10 seconds, and the person was running at 5 km/h in the opposite direction of the train. What is the speed of the train in km/h?

A team of 2 men and 5 women completed one-fourth of a project in 3 days. After 3 days, one woman left and one man joined the team. The newly formed team took 2 days to complete another one-fourth of the project. How many days will it take to complete the project alone?