2221 . If the sum of four consicutive even integer is s, what is the greatest of the integers in terms of s?

A. (s + 12)/4
B. (s - 12)/4
C. (s + 6)/4
D. (s - 6)/4

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Answer: Option A

Explanation:

একটা চিন্তা করে দেখেন S কে চার দিয়ে ভাগ করলে ২য় ও ৩য় even number এর মাঝের integer টা আসবে।

( 2 + 4 + 6 + 8 = 20/4 = 5)

4th one is s/4 + 3 = s + 12 /4

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2222 . If the sum of the 3 consecutive integers is 240, then the sum of the two larger integers is :

A. 79
B. 159
C. 169
D. 161
E. None of them

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Answer: Option D

Explanation:

Let,

the three numbers are x, x + 1, x + 2

As per question,

x + x + 1 + x + 2 = 240

3x + 3 = 240

x = 79

large two numbers are 80, 81

summation = 80 + 81 = 161

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2223 . If the sum of the 3 consecutive integers is 240, then the sum of the two larger integers is:

A. 79
B. 159
C. 169
D. 161

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Answer: Option D

Explanation:

Let,

the three numbers are x, x + 1, x + 2

As per question,

x + x + 1 + x + 2 = 240

3x + 3 = 240

x = 79

large two numbers are 80, 81

summation = 80 + 81 = 161

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2224 . If the sum of the 3 consecutive integers is 240, then the sum of the two larger integers is

A. 79
B. 159
C. 169
D. 161
E. None of these

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Answer: Option D

Explanation:

Let,

the three numbers are x, x + 1, x + 2

As per question,

x + x + 1 + x + 2 = 240

3x + 3 = 240

x = 79

large two numbers are 80, 81

summation = 80 + 81 = 161

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Bangladesh Bank - Assistant Director - 2009

A. 10 sides
B. 8 sides
C. 12 sides
D. 9 sides

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Answer: Option A

Explanation:

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First Security Islami Bank Ltd | Probationary Officer | 19-02-2021

A. 22
B. 23
C. 24
D. 35
E. None of these

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Answer: Option B

Explanation:

ধরি, সংখ্যা তিনটি যথাক্রমে

x - 1, x, x + 1

x - 1 + x + x + 1 <75

3x <75

x<75/3

x<25

যেহেতু x<25 এবং পূর্ণসংখ্যা সেহেতু x = 24

ছোট সংখ্যাটি = ( 24 - 1 ) = 23

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2227 . If the sum of three consecutive integers is odd, then the first and the last integers must be -

A. odd, even
B. odd, odd
C. even, odd
D. even, even
E. None of these

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Answer: Option D

Explanation:

For example,

2 + 3 + 4 = 9 ( odd)

but,

3 + 4 + 5 = 12 ( even)

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2228 . If the sum of three different prime numbers is an even number then what is the smallest of these three ?

A. 1
B. 2
C. 3
D. 5
E. None of these

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Answer: Option B

Explanation:

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2229 . If the sum of two numbers is 33 and their difference is 15, the smaller number is :

A. 9
B. 12
C. 15
D. 18

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Answer: Option A

Explanation:

Let, the numbers are x and y

According to question,

x + y = 33.......(1)

x - y = 15.......... (2)

(1) + (2) = 2x = x = 24.

again , x + y = 33 (1)

x - y = 15...... (2)

(1) - (2) = 2y = 18

y = 9

So, smallest number is 9

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Bangladesh Bank - Assistant Director - 2014

2230 . If the sum of x and its multiplicative inverse is 3, then $x^{3} + 1 / x^{3} = ?$

A. $36$
B. $0$
C. $1$
D. $18$

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Answer: Option D

Explanation:

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অফিসার (জেনারেল) - 12.11.2021

A. 500
B. 400
C. 300
D. 200
E. 100

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Answer: Option D

Explanation:

If the total cost C = 1000 + 0.2s, where 's' is the sales volume, the variable cost on sales of TK. 1000 will be Taka

Given that,

sales of volume (s) = 1000

We know that,

Total cost (C) = total fixed cost + total variable cost

then, C = 1000 + 0.2s

Total variable cost = 0.2s

= 0.2 × 1000

= 200 Tk.

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Bangladesh Bank - Assistant Director - 2006

A. TK.6,250
B. TK.12,500
C. TK.15,000
D. TK.25,000
E. TK.48,000

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Answer: Option A

Explanation:

1500/12 months= 12500 per month
= sales in June= 125000/2
=6250

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2233 . If the total surface are of a hemisphere be 36. sq. cm, then its radius is

A. 3√2 cm
B. 3√3 cm
C. √3 cm
D. 2√3 cm

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Answer: Option A

Explanation:

The total surface area of a hemisphere is given by the formula:

Surface Area = 2πr^2

where "r" is the radius of the hemisphere.

Given that the total surface area is 36 sq. cm, we can set up the equation:

2πr^2 = 36

Now, solve for "r":

r^2 = 36 / (2π)

r^2 = 18 / π

r = √(18 / π)

To simplify further, we can rationalize the denominator by multiplying both the numerator and denominator by π:

r = √(18π / (π * π))

r = √(18π / π^2)

r = (3√2π) / π

So, the radius of the hemisphere is (3√2π) / π cm.

Now, to express it in a simplified form, we can cancel out π:

r = 3√2 cm

So, the radius of the hemisphere is 3√2 cm.

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সমন্বিত ৭ ব্যাংক || সিনিয়র অফিসার-05-11-2021 ||

A. W, X and Y, X,Y and Z
B. U,V and W, X,Y and Z
C. U,W and Y, V,X and Z
D. V,W and X, V,W and Y

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Answer: Option A

Explanation:

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2235 . If the two digit integers M and N are positive and have the same digits, but in reverse order, which of the following CANNOT be the sum of M and N?

A. 181
B. 165
C. 121
D. 99
E. None of these

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Answer: Option A

Explanation:

Let the first digit be xy, then the second digit would be yx.

xy = 10x + y
yx = 10y + x

sum = 11 (x+y)

so the sum has to be multiple of 11. 181 is not. so 181 be the answer

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2221 . If the sum of four consicutive even integer is s, what is the greatest of the integers in terms of s?

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2222 . If the sum of the 3 consecutive integers is 240, then the sum of the two larger integers is :

2223 . If the sum of the 3 consecutive integers is 240, then the sum of the two larger integers is:

2224 . If the sum of the 3 consecutive integers is 240, then the sum of the two larger integers is

2225 . If the sum of the interior angles of a regular polygon measures 1444°, how many sides does the polygon have?

2226 . If the sum of three consecutive integers is less than 75, what is the greatest possible value of the smallest one?

2227 . If the sum of three consecutive integers is odd, then the first and the last integers must be -

2228 . If the sum of three different prime numbers is an even number then what is the smallest of these three ?

2229 . If the sum of two numbers is 33 and their difference is 15, the smaller number is :

2231 . If the total cost C= 1000 + 0.2s, where 's' is the sales volume, the variable cost on sales of TK. 1000 will be Taka

2232 . If the total sales for a business in a certain year were TK.150,000, what were the sales in June, If June sales were half the monthly average?

2233 . If the total surface are of a hemisphere be 36. sq. cm, then its radius is

2234 . If the two commissions have parallel terms of office, which of the following could be selected as the members of the Public service commission and the members of the Rent Control Commission , respectively , for one such term of office?

2235 . If the two digit integers M and N are positive and have the same digits, but in reverse order, which of the following CANNOT be the sum of M and N?

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