Global Islami Bank || Probationary Officer (10-02-2024)

মোট প্রশ্ন: ৪১

পৃষ্ঠা ১ এর ৩পরবর্তী

১

Five people want to rent the last two copies of a movie. How many ways can these five people rent the two movies?

ক.

✓ সঠিক উত্তর

খ.

গ.

ঘ.

ব্যাখ্যা

Let A, B, C, D, and E represent the five people who want to rent the two movies.
List the different pairs of people to find there are 10 pairs
{AB,AC,AD,AE,BC,BD,BE,CD,CE,DE}.

বিষয়: গণিতরেফারেন্স: Global Islami Bank || Probationary Officer (10-02-2024)

Five people want to rent the last two copies of a movie. How many ways can these five people rent the two movies?

ক.

✓ সঠিক উত্তর

খ.

গ.

ঘ.

ব্যাখ্যা

Let A, B, C, D, and E represent the five people who want to rent the two movies.
List the different pairs of people to find there are 10 pairs
{AB,AC,AD,AE,BC,BD,BE,CD,CE,DE}.

বিষয়: গণিতরেফারেন্স: Global Islami Bank || Probationary Officer (10-02-2024)

২

X = {- 4, - 2, 1, 3} Y = {- 1, 4, 5} If x is a number from set X, and y is a number from set Y. The probability that x + y is positive is closest to

ক.

0.5

খ.

0.6

গ.

0.7

✓ সঠিক উত্তর

ঘ.

0.8

বিষয়: গণিতরেফারেন্স: Global Islami Bank || Probationary Officer (10-02-2024)

X = {- 4, - 2, 1, 3} Y = {- 1, 4, 5} If x is a number from set X, and y is a number from set Y. The probability that x + y is positive is closest to

ক.

0.5

খ.

0.6

গ.

0.7

✓ সঠিক উত্তর

ঘ.

0.8

বিষয়: গণিতরেফারেন্স: Global Islami Bank || Probationary Officer (10-02-2024)

৩

If a bookstore owner buys 15 books less for Tk. 900 when the price of each book goes up by Tk. 3, then find the original price of a book.

ক.

Tk.20

খ.

Tk. 18

গ.

Tk. 15

ঘ.

Tk. 12

✓ সঠিক উত্তর

ব্যাখ্যা

900⁄x- 900⁄(x+3)= 15

বিষয়: গণিতরেফারেন্স: Global Islami Bank || Probationary Officer (10-02-2024)

If a bookstore owner buys 15 books less for Tk. 900 when the price of each book goes up by Tk. 3, then find the original price of a book.

ক.

Tk.20

খ.

Tk. 18

গ.

Tk. 15

ঘ.

Tk. 12

✓ সঠিক উত্তর

ব্যাখ্যা

900⁄x- 900⁄(x+3)= 15

বিষয়: গণিতরেফারেন্স: Global Islami Bank || Probationary Officer (10-02-2024)

৪

A train takes 10 seconds to cross a pole and 20 seconds to cross a platform of length 200 m. What is the length of the train?

ক.

400m

খ.

600m

গ.

200m

✓ সঠিক উত্তর

ঘ.

800m

ব্যাখ্যা

Let L be the length of the train, and let P be the length of the pole. We're given that the train takes 10 seconds to cross the pole and 20 seconds to cross a platform of length 200 meters.

বিষয়: গণিতরেফারেন্স: Global Islami Bank || Probationary Officer (10-02-2024)

A train takes 10 seconds to cross a pole and 20 seconds to cross a platform of length 200 m. What is the length of the train?

ক.

400m

খ.

600m

গ.

200m

✓ সঠিক উত্তর

ঘ.

800m

ব্যাখ্যা

Let L be the length of the train, and let P be the length of the pole. We're given that the train takes 10 seconds to cross the pole and 20 seconds to cross a platform of length 200 meters.

বিষয়: গণিতরেফারেন্স: Global Islami Bank || Probationary Officer (10-02-2024)

৫

A sector of a circle of radius 5 cm is recast into a right circular cone of height 4 cm. What is the volume of the resulting cone?

ক.

12 {πcm}^{3}

$12 {πcm}^{3}$

✓ সঠিক উত্তর

খ.

33 {πcm}^{3}

$33 {πcm}^{3}$

গ.

32 {πcm}^{3}

$32 {πcm}^{3}$

ঘ.

4 {πcm}^{3}

$4 {πcm}^{3}$

বিষয়: গণিতরেফারেন্স: Global Islami Bank || Probationary Officer (10-02-2024)

A sector of a circle of radius 5 cm is recast into a right circular cone of height 4 cm. What is the volume of the resulting cone?

ক.

12 {πcm}^{3}

$12 {πcm}^{3}$

✓ সঠিক উত্তর

খ.

33 {πcm}^{3}

$33 {πcm}^{3}$

গ.

32 {πcm}^{3}

$32 {πcm}^{3}$

ঘ.

4 {πcm}^{3}

$4 {πcm}^{3}$

বিষয়: গণিতরেফারেন্স: Global Islami Bank || Probationary Officer (10-02-2024)

৬

The area of a rectangular classroom is x² - 25 Which of the following binomials could represent the length and the width of the room?

ক.

(x + 5)(x + 5)

খ.

(x - 5)(x - 5)

গ.

(x + 5)(x - 5)

✓ সঠিক উত্তর

ঘ.

x(x - 25)

ব্যাখ্যা

The area of a rectangular classroom is given as x² - 25.

বিষয়: গণিতরেফারেন্স: Global Islami Bank || Probationary Officer (10-02-2024)

The area of a rectangular classroom is x² - 25 Which of the following binomials could represent the length and the width of the room?

ক.

(x + 5)(x + 5)

খ.

(x - 5)(x - 5)

গ.

(x + 5)(x - 5)

✓ সঠিক উত্তর

ঘ.

x(x - 25)

ব্যাখ্যা

The area of a rectangular classroom is given as x² - 25.

বিষয়: গণিতরেফারেন্স: Global Islami Bank || Probationary Officer (10-02-2024)

৭

Jennifer flipped a coin three times and got heads each time What is the probability that she gets heads on the next flip

ক.

খ.

1/16

গ.

1/2

✓ সঠিক উত্তর

ঘ.

ব্যাখ্যা

The probability of getting heads on a fair coin flip is 1/2. Each coin flip is independent of the previous ones, so the fact that Jennifer got heads three times in a row does not affect the probability of getting heads on the next flip. Therefore, the probability of getting heads on the next flip is still 1/2.

বিষয়: গণিতরেফারেন্স: Global Islami Bank || Probationary Officer (10-02-2024)

Jennifer flipped a coin three times and got heads each time What is the probability that she gets heads on the next flip

ক.

খ.

1/16

গ.

1/2

✓ সঠিক উত্তর

ঘ.

ব্যাখ্যা

বিষয়: গণিতরেফারেন্স: Global Islami Bank || Probationary Officer (10-02-2024)

৮

What is the greatest common factor of 24 and 64?

ক.

✓ সঠিক উত্তর

খ.

গ.

ঘ.

ব্যাখ্যা

The GCF of 24 and 64 is 8. To calculate the GCF (Greatest Common Factor) of 24 and 64, we need to factor each number (factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24; factors of 64 = 1, 2, 4, 8, 16, 32, 64) and choose the greatest factor that exactly divides both 24 and 64, i.e., 8.

বিষয়: গণিতরেফারেন্স: Global Islami Bank || Probationary Officer (10-02-2024)

What is the greatest common factor of 24 and 64?

ক.

✓ সঠিক উত্তর

খ.

গ.

ঘ.

ব্যাখ্যা

বিষয়: গণিতরেফারেন্স: Global Islami Bank || Probationary Officer (10-02-2024)

৯

Melissa is four times as old as Jim. Pat is 5 years older that Melissa. If Jim is y years old, how old is Pat?

ক.

4y + 5

✓ সঠিক উত্তর

খ.

5y + 4

গ.

4 - 5y

ঘ.

y + 5

ব্যাখ্যা

J=Y

বিষয়: গণিতরেফারেন্স: Global Islami Bank || Probationary Officer (10-02-2024)

Melissa is four times as old as Jim. Pat is 5 years older that Melissa. If Jim is y years old, how old is Pat?

ক.

4y + 5

✓ সঠিক উত্তর

খ.

5y + 4

গ.

4 - 5y

ঘ.

y + 5

ব্যাখ্যা

J=Y

বিষয়: গণিতরেফারেন্স: Global Islami Bank || Probationary Officer (10-02-2024)

১০

If Elias makes a box every 5 minutes and Nadim takes minutes to make a box, what will be the ratio of the number of boxes produced by Elias to the number of boxes produced by Nadim if they work for 5 hours and 50 minutes?

ক.

5 to 6

খ.

5 to 7

গ.

6 to 5

ঘ.

7 to 5

✓ সঠিক উত্তর

বিষয়: গণিতরেফারেন্স: Global Islami Bank || Probationary Officer (10-02-2024)

If Elias makes a box every 5 minutes and Nadim takes minutes to make a box, what will be the ratio of the number of boxes produced by Elias to the number of boxes produced by Nadim if they work for 5 hours and 50 minutes?

ক.

5 to 6

খ.

5 to 7

গ.

6 to 5

ঘ.

7 to 5

✓ সঠিক উত্তর

বিষয়: গণিতরেফারেন্স: Global Islami Bank || Probationary Officer (10-02-2024)

১১

To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to two-fifth of its present?

ক.

খ.

গ.

60.5

ঘ.

62.5

✓ সঠিক উত্তর

বিষয়: গণিতরেফারেন্স: Global Islami Bank || Probationary Officer (10-02-2024)

To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to two-fifth of its present?

ক.

খ.

গ.

60.5

ঘ.

62.5

✓ সঠিক উত্তর

বিষয়: গণিতরেফারেন্স: Global Islami Bank || Probationary Officer (10-02-2024)

১২

Which of the following is the average of first five prime numbers?

ক.

4.5

খ.

5.6

✓ সঠিক উত্তর

গ.

7.5

ঘ.

8.6

বিষয়: গণিতরেফারেন্স: Global Islami Bank || Probationary Officer (10-02-2024)

Which of the following is the average of first five prime numbers?

ক.

4.5

খ.

5.6

✓ সঠিক উত্তর

গ.

7.5

ঘ.

8.6

বিষয়: গণিতরেফারেন্স: Global Islami Bank || Probationary Officer (10-02-2024)

১৩

Club A has 20 members and Club B has 27. If a total of 42 people belong to the two clubs, how many people belong to both clubs?

ক.

খ.

গ.

✓ সঠিক উত্তর

ঘ.

বিষয়: গণিতরেফারেন্স: Global Islami Bank || Probationary Officer (10-02-2024)

Club A has 20 members and Club B has 27. If a total of 42 people belong to the two clubs, how many people belong to both clubs?

ক.

খ.

গ.

✓ সঠিক উত্তর

ঘ.

বিষয়: গণিতরেফারেন্স: Global Islami Bank || Probationary Officer (10-02-2024)

১৪

In the coordinate plane, line m pases through the origin and has slope of 3. If points (6,y) and (x, 12) are on line m, then y - x = ?

ক.

✓ সঠিক উত্তর

খ.

গ.

ঘ.

ব্যাখ্যা

প্রশ্নে বলা হচ্ছে, একটি সমতল স্থানাঙ্কে m রেখাটি মূলবিন্দুগামী যার ঢাল 3. এখন ঐ রেখার দুটি বিন্দু (6, y) এবং (x, 12) হলে y – x = ?
আমরা জানি, মূলবিন্দুগামী রেখার সমীকরণ y = mx
এখানে, ঢাল m = 3
y = 3x............(i)
এখন (6, y) বিন্দুর জন্য (i) নং হতে পাই,
y = 3x
.:. y = 3 × 6 = 18
আবার, (x, 12) বিন্দুর জন্য (i) নং হতে পাই,
y = 3x
⇒ 12 = 3x ['' কোটি = 12]
.:. x =

$\frac{12}{3}$ = 4
অতএব, y = x = 18 = 4 = 14

বিষয়: গণিতরেফারেন্স: Global Islami Bank || Probationary Officer (10-02-2024)

In the coordinate plane, line m pases through the origin and has slope of 3. If points (6,y) and (x, 12) are on line m, then y - x = ?

ক.

✓ সঠিক উত্তর

খ.

গ.

ঘ.

ব্যাখ্যা

$\frac{12}{3}$ = 4
অতএব, y = x = 18 = 4 = 14

বিষয়: গণিতরেফারেন্স: Global Islami Bank || Probationary Officer (10-02-2024)

১৫

x² - 25 = 12, x + 5 = 4, x - 5 = ?

ক.

খ.

✓ সঠিক উত্তর

গ.

ঘ.

ব্যাখ্যা

x²-5²=12

বিষয়: গণিতরেফারেন্স: Global Islami Bank || Probationary Officer (10-02-2024)

x² - 25 = 12, x + 5 = 4, x - 5 = ?

ক.

খ.

✓ সঠিক উত্তর

গ.

ঘ.

ব্যাখ্যা

x²-5²=12

বিষয়: গণিতরেফারেন্স: Global Islami Bank || Probationary Officer (10-02-2024)

১৬

She insisted _____ going to the concert despite the rain.

ক.

✓ সঠিক উত্তর

খ.

about

গ.

for

ঘ.

বিষয়: ইংরেজিরেফারেন্স: Global Islami Bank || Probationary Officer (10-02-2024)

She insisted _____ going to the concert despite the rain.

ক.

✓ সঠিক উত্তর

খ.

about

গ.

for

ঘ.

বিষয়: ইংরেজিরেফারেন্স: Global Islami Bank || Probationary Officer (10-02-2024)

১৭

The detective was able to solve the case _____ careful observation.

ক.

through

✓ সঠিক উত্তর

খ.

along

গ.

towards

ঘ.

during

বিষয়: ইংরেজিরেফারেন্স: Global Islami Bank || Probationary Officer (10-02-2024)

The detective was able to solve the case _____ careful observation.

ক.

through

✓ সঠিক উত্তর

খ.

along

গ.

towards

ঘ.

during

বিষয়: ইংরেজিরেফারেন্স: Global Islami Bank || Probationary Officer (10-02-2024)

১৮

Select the opposite of "exacerbate":

ক.

Aggravate

খ.

Mitigate

✓ সঠিক উত্তর

গ.

Intensify

ঘ.

Escalate

বিষয়: ইংরেজিরেফারেন্স: Global Islami Bank || Probationary Officer (10-02-2024)

Select the opposite of "exacerbate":

ক.

Aggravate

খ.

Mitigate

✓ সঠিক উত্তর

গ.

Intensify

ঘ.

Escalate

বিষয়: ইংরেজিরেফারেন্স: Global Islami Bank || Probationary Officer (10-02-2024)

১৯

Choose the synonym for "obfuscate":

ক.

Illuminate

খ.

Confuse

✓ সঠিক উত্তর

গ.

Clarify

ঘ.

Elucidate

ব্যাখ্যা

Obfuscate means perplex or Confuse

বিষয়: ইংরেজিরেফারেন্স: Global Islami Bank || Probationary Officer (10-02-2024)

Choose the synonym for "obfuscate":

ক.

Illuminate

খ.

Confuse

✓ সঠিক উত্তর

গ.

Clarify

ঘ.

Elucidate

ব্যাখ্যা

Obfuscate means perplex or Confuse

বিষয়: ইংরেজিরেফারেন্স: Global Islami Bank || Probationary Officer (10-02-2024)

২০

What does the expression "jump on the bandwagon" imply?

ক.

To criticize others

খ.

To join others in a popular activity

✓ সঠিক উত্তর

গ.

To create a new trend

ঘ.

To avoid public attention

বিষয়: ইংরেজিরেফারেন্স: Global Islami Bank || Probationary Officer (10-02-2024)

What does the expression "jump on the bandwagon" imply?

ক.

To criticize others

খ.

To join others in a popular activity

✓ সঠিক উত্তর

গ.

To create a new trend

ঘ.

To avoid public attention

বিষয়: ইংরেজিরেফারেন্স: Global Islami Bank || Probationary Officer (10-02-2024)

Global Islami Bank || Probationary Officer (10-02-2024)

Five people want to rent the last two copies of a movie. How many ways can these five people rent the two movies?

ব্যাখ্যা

Five people want to rent the last two copies of a movie. How many ways can these five people rent the two movies?

ব্যাখ্যা

X = {- 4, - 2, 1, 3} Y = {- 1, 4, 5} If x is a number from set X, and y is a number from set Y. The probability that x + y is positive is closest to

X = {- 4, - 2, 1, 3} Y = {- 1, 4, 5} If x is a number from set X, and y is a number from set Y. The probability that x + y is positive is closest to

If a bookstore owner buys 15 books less for Tk. 900 when the price of each book goes up by Tk. 3, then find the original price of a book.

ব্যাখ্যা

If a bookstore owner buys 15 books less for Tk. 900 when the price of each book goes up by Tk. 3, then find the original price of a book.

ব্যাখ্যা

A train takes 10 seconds to cross a pole and 20 seconds to cross a platform of length 200 m. What is the length of the train?

ব্যাখ্যা

A train takes 10 seconds to cross a pole and 20 seconds to cross a platform of length 200 m. What is the length of the train?

ব্যাখ্যা

A sector of a circle of radius 5 cm is recast into a right circular cone of height 4 cm. What is the volume of the resulting cone?

A sector of a circle of radius 5 cm is recast into a right circular cone of height 4 cm. What is the volume of the resulting cone?

The area of a rectangular classroom is x2 - 25 Which of the following binomials could represent the length and the width of the room?

ব্যাখ্যা

The area of a rectangular classroom is x2 - 25 Which of the following binomials could represent the length and the width of the room?

ব্যাখ্যা

Jennifer flipped a coin three times and got heads each time What is the probability that she gets heads on the next flip

ব্যাখ্যা

Jennifer flipped a coin three times and got heads each time What is the probability that she gets heads on the next flip

ব্যাখ্যা

What is the greatest common factor of 24 and 64?

ব্যাখ্যা

What is the greatest common factor of 24 and 64?

ব্যাখ্যা

Melissa is four times as old as Jim. Pat is 5 years older that Melissa. If Jim is y years old, how old is Pat?

ব্যাখ্যা

Melissa is four times as old as Jim. Pat is 5 years older that Melissa. If Jim is y years old, how old is Pat?

ব্যাখ্যা

If Elias makes a box every 5 minutes and Nadim takes minutes to make a box, what will be the ratio of the number of boxes produced by Elias to the number of boxes produced by Nadim if they work for 5 hours and 50 minutes?

If Elias makes a box every 5 minutes and Nadim takes minutes to make a box, what will be the ratio of the number of boxes produced by Elias to the number of boxes produced by Nadim if they work for 5 hours and 50 minutes?

To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to two-fifth of its present?

To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to two-fifth of its present?

Which of the following is the average of first five prime numbers?

Which of the following is the average of first five prime numbers?

Club A has 20 members and Club B has 27. If a total of 42 people belong to the two clubs, how many people belong to both clubs?

Club A has 20 members and Club B has 27. If a total of 42 people belong to the two clubs, how many people belong to both clubs?

In the coordinate plane, line m pases through the origin and has slope of 3. If points (6,y) and (x, 12) are on line m, then y - x = ?

ব্যাখ্যা

In the coordinate plane, line m pases through the origin and has slope of 3. If points (6,y) and (x, 12) are on line m, then y - x = ?

ব্যাখ্যা

x2 - 25 = 12, x + 5 = 4, x - 5 = ?

ব্যাখ্যা

x2 - 25 = 12, x + 5 = 4, x - 5 = ?

ব্যাখ্যা

She insisted _____ going to the concert despite the rain.

She insisted _____ going to the concert despite the rain.

The detective was able to solve the case _____ careful observation.

The detective was able to solve the case _____ careful observation.

Select the opposite of "exacerbate":

Select the opposite of "exacerbate":

Choose the synonym for "obfuscate":

ব্যাখ্যা

Choose the synonym for "obfuscate":

ব্যাখ্যা

What does the expression "jump on the bandwagon" imply?

What does the expression "jump on the bandwagon" imply?

The area of a rectangular classroom is x² - 25 Which of the following binomials could represent the length and the width of the room?

The area of a rectangular classroom is x² - 25 Which of the following binomials could represent the length and the width of the room?

x² - 25 = 12, x + 5 = 4, x - 5 = ?

x² - 25 = 12, x + 5 = 4, x - 5 = ?