3091 . The defference between two numbers is 5 and the difference between their squares is 65 . What is the larger number ?

A. 13
B. 11
C. 8
D. 9

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Answer: Option D

Explanation:

ধরি,

সংখ্যা দুটি x ও y যেখানে x > y

x - y = 5

x2 - y2 = 65

( x + y) ( x - y) = 65

( x + y) 5 = 65

x + y = 65/5

x + y = 13

বড় সংখ্যাটি = ( x + y) + ( x - y) / 2 = 13 + 5/2 = 9

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3092 . The denominator of a fraction is 5 more than the numerator. If the numerator as well as the denominator is increased by 3, the fraction becomes 5/9. The original fraction is

A. 11/18
B. 13/18
C. 15/18
D. 16/18

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Answer: Option A

Explanation:

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

A. 99 meters
B. 198 meters
C. 63 meters
D. 136 meters

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Answer: Option B

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3094 . The diameter of the base of a cone is 10.5 c,. and its slant height is 10 cm. The curved surface ares is:

A. 150 sq. cm
B. 165 sq.cm
C. 177 sq. cm
D. 10 sq.cm

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Answer: Option B

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প্রবাসী কল্যাণ ব্যাংক-সিনিয়র অফিসার-09-10-2021

A. 200
B. 250
C. 300
D. 350

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Answer: Option B

Explanation:

Given :

The diameter of the driving wheel = 140 cm

Speed of a bus = 66 km/hr

Concept Used:

Circumference of a circle = 2πr

Number of revolutions of a wheel (N) = D/d

d = Distance traveled by the wheel in 1 revolution

Calculation:

Distance travelled by bus in 1 hour = 66km = 6600 meter

Distance travelled by bus in 1 minute = (66000)/60 = 1100m

Distance travelled by a wheel in 1 revolution = Circumference = 2πr

Put 2r = 140 cm , 1 m = 100 cm , π =22/7

Therefore,

Distance traveled by a wheel in 1 revolution = (22/7) × (140/100)

Distance traveled by a wheel 1 revolution = 4.40 m

Now, using the above formula

N × 4.4 = 100

N = 250

∴ The number of revolutions per minute is 250.

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সমন্বিত ৮ ব্যাংক ও ১ টি আর্থিক প্রতিষ্ঠান || সিনিয়র অফিসার (সাধারণ) (20-01-2023)

A. 1:2
B. 1:4
C. 2:2
D. 1:3

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Answer: Option A

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Sonali &-Janata Bank | Officer (IT)| 04.01.2019

A. 75
B. 100
C. 125
D. None of these

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Answer: Option C

Explanation:

Let the number be ‘X’

According to question,

X - (3/5 )X = 50

or, X (1 - 3/5) = 50

or, X × 2/5 = 50

or, X = 50 × 5/2

∴ X = 125 (ans)

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পূবালী ব্যাংক লিমিটেড || প্রবেশনারি অফিসার (30-09-2023) || 2023

A. 12.75
B. 85
C. 204
D. None of these

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Answer: Option B

Explanation:

Let the number be x

Then, x - 2x/5 = 510

(5x - 2x) /5 = 510

3x = 510×5

x = 850

So, 10% of 850 = 85

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3099 . The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two-digits of that number?

A. 3
B. 4
C. 6
D. 9
E. None of these

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Answer: Option B

Explanation:

Let the two-digit number be 10x+y, where x is the digit in the tens place and y is the digit in the units place.

When the digits are interchanged, the number becomes 10y+x.

According to the given information, the difference between the two-digit number and the number obtained by interchanging the positions of its digits is 36. Mathematically, this can be represented as:

(10x+y)−(10y+x)=36

Simplifying the equation:

10x+y−10y−x=36 9x−9y=36 x−y=4

So, the difference between the two digits of the number is 4.

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3100 . The difference between simple and compound intert at 5% annually on a sum of TK. 10000 at the end of 2 years -

A. 25
B. 50
C. 100
D. 250

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Answer: Option A

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অফিসার (জেনারেল) - 12.11.2021

A. Tk. 4,500
B. Tk. 7,500
C. Tk. 5,000
D. Tk. 6,000

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Answer: Option D

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3102 . The difference between the cost price and sale price of an article is Tk. 240. If the profit is 20%, the selling price is:

A. Tk. 1240
B. Tk. 1400
C. Tk. 1600
D. None of these

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Answer: Option A

Explanation:

Hints: ধরি cost price x তাহলে 20% profit এ sell price হবে

x + x এর 20%

= x + 0.2x

= 1.2x

1.2x - 1x = 240

.2x = 240

x = 1200

Selling price = 1200 + 240 = 1440

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3103 . The difference between the length and the breadth of a blackboard is 8 cm. If the breadth is decreased by 4 cm and the length is increased by 7 cm the areas remains the same. Find the dimensions of the blackboard?

A. 30,22
B. 28,20
C. 34,26
D. 56,48

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Answer: Option B

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3104 . The difference between the local value and the face value of 7 in the numberal 32675149 is-

A. 75142
B. 64851
C. 5149
D. 69993

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Answer: Option D

Explanation:

The local value of 7 in the numeral 32675149 is 70000 because 7 is in the ten thousandths place.

The face value of 7 is 7 itself.

The difference between the local value and the face value of 7 is 70000 - 7 = 69993.

Therefore, the answer is 69993

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পূবালী ব্যাংক লিমিটেড || সিনিয়র অফিসার (30-09-2023) || 2023

A. 1
C. 3
D. 2

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Answer: Option A

Explanation:

Hints:

32 বা (2)5 এর উৎপাদক সংখ্যা = ( 5 + 1) = 6

64 বা ( 2)6 এর উৎপাদক সংখ্যা = ( 6 + 1) = 7

উৎপাদক সংখ্যর পার্থক্য = ( 7 - 6 ) = 1

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3091 . The defference between two numbers is 5 and the difference between their squares is 65 . What is the larger number ?

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3092 . The denominator of a fraction is 5 more than the numerator. If the numerator as well as the denominator is increased by 3, the fraction becomes 5/9. The original fraction is

3093 . The diameter of a wheel is 63 cm. Distance traveled by the wheel in 100 revolutions is--

3094 . The diameter of the base of a cone is 10.5 c,. and its slant height is 10 cm. The curved surface ares is:

3095 . The diameter of the driving wheel of a bus is 140 cm. How many revolutions per minute must the wheel make in order to keep a speed of 66 km per hour?

3096 . The diameters of two circles are the side of a square and the diagonal of the square. The ratio of the areas of the smaller circle and the larger circle is:

3097 . The difference between a number and its three fifth is 50. What is the number?

3098 . The difference between a number and its two-fifth is 510. What is 10 percent of that number?

3099 . The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two-digits of that number?

3100 . The difference between simple and compound intert at 5% annually on a sum of TK. 10000 at the end of 2 years -

3101 . The difference between the compound interest and simple interest on a certain amount of money at 5% per annum for 2 years is Tk. 15. Find the principal amount.

3102 . The difference between the cost price and sale price of an article is Tk. 240. If the profit is 20%, the selling price is:

3103 . The difference between the length and the breadth of a blackboard is 8 cm. If the breadth is decreased by 4 cm and the length is increased by 7 cm the areas remains the same. Find the dimensions of the blackboard?

3104 . The difference between the local value and the face value of 7 in the numberal 32675149 is-

3105 . The difference between the number factors of 32 & 64 is:

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