1906 . If set A = {1,2} and C = { 3,4} then A×B (Cartesian product of set A and B ) is

A. {1,2,3,4}
B. {(1,3), (2,4)}
C. {(1,3), (2,4), (1,4),(2,3)}
D. Try your self

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Answer: Option D

Explanation:

Senior Officer (IT) - Sonali-Janata-BD Krishi-BD Development Bank Ltd - 30.11.2018

1907 . If $\sin A + \sin^{2} A = 1$ , then the value of the expression $\cos^{2} A + \cos^{4} A$ is--

A. 1
B. 1/2
C. 2
D. 3

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Answer: Option A

Explanation:

Bangladesh bank - officer ( general) - 27.04.2018

A. Tk.9.625
B. Tk.9.50
C. Tk.9.40
D. Tk.9.375

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Answer: Option D

Explanation:

Total investment = 4500 + 3000 = 7500 TK.

Number of Bonds = 4500/9 + 3000/10 = 800

Average price per bond = 7500 / 800 = 9.375 TK.

1909 . If the 1st number ina deries of consecutive odd numbers is 8 less than the last number in the series, how many numbers are there in the series?

A. 7
B. 8
C. 4
D. 5

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Answer: Option D

Explanation:

find out how many numbers there are in the series, we subtract the first number from the last (15 - 7 = 8), divide the result by the step size (8 / 2 = 4), and then add 1 to account for the first number that we started with. Therefore, there are 5 numbers in this series.

1910 . If the amount of Tk.360 in 3 years is Tk.511.20. What will be the amount of Tk.700 in 5 years?

A. 1060
B. 1225
C. 1190
D. 1230

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Answer: Option C

Explanation:

1911 . If the annual interest rate decreases from 4% to 3.75%, income of a person reduces by Tk. 60. What is his principal?

A. Tk. 22,000
B. Tk. 25,000
C. Tk. 24,000
D. Tk. 26,000
E. None of these

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Answer: Option C

Explanation:

given, the annual interest rate decreases from 4% to 3.75%

ATQ,

(4 - 3.75)% = 60

or, 0.25% = 60

or, 100% = (60/0.25) * 100 = 24000

so, principal = 24000 tk

ans: 24000 tk

1912 . If the area of a circle is 25π then diameter of the circle is--

A. 6
B. 10
C. 20
D. 25

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Answer: Option B

Explanation:

1913 . If the area of a small pizza is 78.5 in. what size pizza box would best fit the small pizza?

A. 12 in
B. 11 in
C. 9 in
D. 10 in

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Answer: Option D

Explanation:

To find the size of the pizza box that would best fit the small pizza, we can use the diameter of the pizza as the size of the pizza box.

The area of a circle is given by the formula: A = πr^2, where "A" is the area and "r" is the radius.

In this case, the area of the small pizza is 78.5 square inches. We can use this information to find the radius of the pizza:

78.5 = πr^2

Now, solve for "r":

r^2 = 78.5 / π r^2 ≈ 25 r ≈ √25 r ≈ 5 inches

So, the radius of the small pizza is approximately 5 inches. To find the diameter (which is also the size of the pizza box needed), simply double the radius:

Diameter = 2 * 5 inches = 10 inches

Therefore, a 10-inch pizza box would best fit the small pizza.

সহকারী পরিচালক(AD) -12.11.2021

A. 30
B. 40
C. 70
D. 90

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Answer: Option B

Explanation:

1915 . If the average (arithmetic mean) of 16, 20 and n is between 18 and 21 inclusive, what is the greatest possible value of n ?

A. 18
B. 21
C. 27
D. 54

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Answer: Option C

Explanation:

we must take such a value of n for which the average must be in between 18 to 21, inclusive. It means 21 can be the average . We are looking fro greatest value of n. So, we must take 21 as average of this 3 numbers.

16 + 20 + n = 3×21

= > 36 + n = 63

∴n = 27.

1916 . If the average (arithmetic mean) of x and y is 60 and the average (arithmetic mean) of y and z is 80, what is the value of (z-x)?

A. 70
B. 40
C. 20
D. None

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Answer: Option B

Explanation:

1917 . If the average of 'm' numbers is n2 and that of 'n' numbers is m2, then the average of (m + n) numbers is -

A. m+n
B. m-n
C. m/n
D. mn

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Answer: Option D

Explanation:

Average of m numbers n^2

So, Sum of m numbers= mn^2

Average of n numbers m^2

So, sum of n numbers= nm^2

Now,

Sum of (m+n) numbers= mn^2+nm^2 = mn(m+n)

Average of (m+n) numbers= {mn(m+n)}/(m+n) = mn

Ans: mn.

বাংলাদেশ ব্যাংক || সহকারী পরিচালক (AD) (20-10-2023)

A. 10
B. 15
C. 19
D. 5

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Answer: Option D

Explanation:

1919 . If the average of 11,17,x, and y is 19, what is the average of (x+50) and (y-7)?

A. 46
B. 23
C. 21
D. 14
E. None of these

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Answer: Option B

Explanation:

1920 . If the average of 16, 20 and n is between 18 and 21 inclusive, what is the greatest possible value of n?

A. 18
B. 21
C. 27
D. 54

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Answer: Option C

Explanation:

16 + 20 + n = 3×21

= > 36 + n = 63

∴n = 27.

1906 . If set A = {1,2} and C = { 3,4} then A×B (Cartesian product of set A and B ) is

1908 . If Taka 4500 was invested in bonds of acorporation when the price per bond was Tk.9.00 and Taka 3000 was invested in bonds of another corporation when the price was Tk.10.00 per bond, What was the average price of bonds purchased?

1909 . If the 1st number ina deries of consecutive odd numbers is 8 less than the last number in the series, how many numbers are there in the series?

1910 . If the amount of Tk.360 in 3 years is Tk.511.20. What will be the amount of Tk.700 in 5 years?

1911 . If the annual interest rate decreases from 4% to 3.75%, income of a person reduces by Tk. 60. What is his principal?

1912 . If the area of a circle is 25π then diameter of the circle is--

1913 . If the area of a small pizza is 78.5 in. what size pizza box would best fit the small pizza?

1914 . If the arithmetic mean of sevety five numbers is calculated, it is 35. If each number is increased by 5, then mean of new numbers is:

1915 . If the average (arithmetic mean) of 16, 20 and n is between 18 and 21 inclusive, what is the greatest possible value of n ?

1916 . If the average (arithmetic mean) of x and y is 60 and the average (arithmetic mean) of y and z is 80, what is the value of (z-x)?

1917 . If the average of 'm' numbers is n2 and that of 'n' numbers is m2, then the average of (m + n) numbers is -

1918 . If the average of (x-3), (x-5), and (x-7) is 0, then what is the value of x ?

1919 . If the average of 11,17,x, and y is 19, what is the average of (x+50) and (y-7)?

1920 . If the average of 16, 20 and n is between 18 and 21 inclusive, what is the greatest possible value of n?

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