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Job Solution | Combined Bank (সমন্বিত ব্যাংক)

সমন্বিত ১০ ব্যাংক ও আর্থিক প্রতিষ্ঠান || সিনিয়র অফিসার (10-11-2023)

All

গণিত

2.Bowl S contains only marbles. If $\frac{1}{4}$ of the marbles were removed, the bowl would be filled to $\frac{1}{2}$ of its capacity. If 100 marbles were added, the bowl would be full. How many marbles are in bowl S?

100

২০০

250

৩০০

100

২০০

250

৩০০

Square ABCD is inscribed in a circle. whose radius is 4cm. Calculate the area of the square.

১৬

৩২

None

১৬

৩২

None

What is the difference between the amount of interest eamed on a principal of Tk. 100 for 2 years at 10% simple interest rate and 10% compounding interest rate?

Tk. 121

Tk. 120

Tk. 2

Tk. 1

Tk. 121

Tk. 120

Tk. 2

Tk. 1

If 0 < x ≤ 1, then which one of the following is the maximum value of (x-1)² +x ?

০

-1

০

-1

Point A is 10 km west of point B. Point B is 30 km north of point C. Point C is 20 km east of point D. What is the distance between point A and D?

10 \sqrt{20} K m

10 \sqrt{10} K m

20 \sqrt{10} K m

30 \sqrt{10} K m

10 \sqrt{20} K m

10 \sqrt{10} K m

20 \sqrt{10} K m

30 \sqrt{10} K m

There are 3 doors to a lecture room. In how many ways can a lecturer enter the room from one door and leave from another door ?

৯

A rhombus is a quadrilateral-

Whose all sides are equal

Whose any two opposite sides are parallel

Whose all sides are equal and four angels are equal to 90°

Both (ক) and (খ)

Whose all sides are equal

Whose any two opposite sides are parallel

Whose all sides are equal and four angels are equal to 90°

Both (ক) and (খ)

For a research purpose 2500 individuals were interviewed. Among them 750 persons have bank accounts in State Owned Commercial Banks (SOCBS) and 2250 persons have bank accounts in Private Commercial Banks (PCBs). How many of them have bank accounts in both SOCBS and PCBs?

250

৩০০

500

600

250

৩০০

500

600

What would be the value of 20% of m as a percentage of p, if 8% of m = 4% of p?

80%

16%

১০%

None

80%

16%

১০%

None

10.

Which is the larger between two numbers if they are in the ratio of 6: 13 and their least common multiple is 312?

11.

Three coins are tossed. Find the probability of exactly 2 heads-

\frac{3}{8}

\frac{1}{2}

\frac{1}{8}

None

\frac{3}{8}

\frac{1}{2}

\frac{1}{8}

None

12.

A rectangular sheet of paper, 10 cm long and 8 cm wide has squares of side 2 cm cut from each of its corner. The sheet is then folded to form a tray of depth 2cm. What is the volume of this tray?

32 c m^{3}

48 c m^{3}

49 c m^{3}

54 c m^{3}

32 c m^{3}

48 c m^{3}

49 c m^{3}

54 c m^{3}

13.

A group of 20 friends formed and investment club, with each member contributing an equal amount to the general fund. The club then invested the entire fund, which amounted to t taka, in stock X. The value of the stock subsequently increased 40 percent, at that point the stock was sold and the proceeds divided evenly among the members. In terms of t, how much money did each member of the club receive from the sale?

800t

\frac{t}{2}

\frac{7 t}{5}

\frac{7 t}{100}

800t

\frac{t}{2}

\frac{7 t}{5}

\frac{7 t}{100}

14.

A machine is sold at a profit of 10%. Had it been sold for Tk. 40 less, there would have been a loss of 10%. What was the cost price?

Tk. 175

Tk. 200

Tk. 225

Tk. 250

Tk. 175

Tk. 200

Tk. 225

Tk. 250

15.

A train crossed a platform in 45 seconds travelling with a speed of 36 km/h. If the length of train is 200 meters, then what will be the length (in meters) of the platform?

250

২০০

৩০০

350

250

২০০

৩০০

350

16.

The perimeters of two squares are 40cm and 30cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares.

18cm

24cm

32cm

36cm

18cm

24cm

32cm

36cm

17.

if a+b+c = 0 , the value of $\frac{a^{2}}{b c} + \frac{b^{2}}{c a} + \frac{c^{2}}{a b}$ is -

3abc

\frac{1}{3}

3abc

\frac{1}{3}

18.

In a set of 3 numbers, the average of first two numbers is 2, the average of the last two numbers is 3, and the average of the first and the last numbers is 4. What is the average of three numbers?

2.5

3.5

2.5

3.5

19.

What is the value of $\sqrt{10 + \sqrt{25 + \sqrt{108 + \sqrt{154 + \sqrt{225}}}}}$

৪

20.

A, B, C, D and E are five consecutive numbers in increasing order of size. Deleting one of the five numbers from the set decreased the sum of the remaining numbers in the set by 20%. Which one of the following numbers was deleted?

Job Solution | Combined Bank (সমন্বিত ব্যাংক)

সমন্বিত ১০ ব্যাংক ও আর্থিক প্রতিষ্ঠান || সিনিয়র অফিসার (10-11-2023)

All

গণিত

What is the difference between the amount of interest eamed on a principal of Tk. 100 for 2 years at 10% simple interest rate and 10% compounding interest rate?

Point A is 10 km west of point B. Point B is 30 km north of point C. Point C is 20 km east of point D. What is the distance between point A and D?

There are 3 doors to a lecture room. In how many ways can a lecturer enter the room from one door and leave from another door ?

A rhombus is a quadrilateral-

For a research purpose 2500 individuals were interviewed. Among them 750 persons have bank accounts in State Owned Commercial Banks (SOCBS) and 2250 persons have bank accounts in Private Commercial Banks (PCBs). How many of them have bank accounts in both SOCBS and PCBs?

What would be the value of 20% of m as a percentage of p, if 8% of m = 4% of p?

Which is the larger between two numbers if they are in the ratio of 6: 13 and their least common multiple is 312?

Three coins are tossed. Find the probability of exactly 2 heads-

A rectangular sheet of paper, 10 cm long and 8 cm wide has squares of side 2 cm cut from each of its corner. The sheet is then folded to form a tray of depth 2cm. What is the volume of this tray?

A machine is sold at a profit of 10%. Had it been sold for Tk. 40 less, there would have been a loss of 10%. What was the cost price?

A train crossed a platform in 45 seconds travelling with a speed of 36 km/h. If the length of train is 200 meters, then what will be the length (in meters) of the platform?

The perimeters of two squares are 40cm and 30cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares.

In a set of 3 numbers, the average of first two numbers is 2, the average of the last two numbers is 3, and the average of the first and the last numbers is 4. What is the average of three numbers?

A, B, C, D and E are five consecutive numbers in increasing order of size. Deleting one of the five numbers from the set decreased the sum of the remaining numbers in the set by 20%. Which one of the following numbers was deleted?

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