2176 . If the price of an item is increased by 10% and then decreased by 10%, the net effect on the price of the item is --

A. an increase of 99%
B. an increase of 1%
C. no change
D. a decrease of 1%
E. a decrease of 11%

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Answer: Option D

Explanation:

Let, price of the item = Tk.100

After 10% increase the price become = (100 + 10) = Tk.110

Then, after 10% decrease new price = 110 - 10/100×110 = Tk.99

Net decrease = 100 - 99 = Tk.1

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Bangladesh Bank - Officer - 2015

A. 5/2 years
B. 1 year
C. 13 years
D. 2 years

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Answer: Option D

Explanation:

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2178 . If the price of sugar increases by 25% and Asif intend to spend only 15% more on sugar, by what percent should he reduce his purchase of sugar in quantity?

A. 8%
B. 10%
C. 12%
D. None

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Answer: Option A

Explanation:

২৫% বৃদ্ধিতে চিনির মূল্য = ১২৫ টাকা
আবার,
১৫% বৃদ্ধিতে চিনির মূল্য = ১১৫ টাকা
বর্তমান মূল্য ১২৫ টাকা হলে পূর্বমূল্য = ১০০ টাকা
বর্তমান মূল্য ১ টাকা হলে পূর্বমূল্য = ১০০/১২৫ = ৪/৫ টাকা
বর্তমান মূল্য ১১৫ টাকা হলে পূর্বমূল্য = (৪ × ১১৫)/৫ = ৯২ টাকা
চিনি ক্রয়ের পরিমাণ কমাতে হবে = ১০০ - ৯২ = ৮%

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শিল্প মন্ত্রণালয়ের অধীন বিসিআইসি | সহকারী ব্যবস্থাপক (প্রশাসন) | ০৮.১২.২০১৮

A. 9
B. 15
C. 12
D. 14

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Answer: Option B

Explanation:

Let the first integer be x - 1. Then the next two integers would be x and x + 1. So:

(x - 1)× x × (x + 1) = 120

= > (x² - 1)x = 120

= > x³ - x = 120

∴x = 5 , Check 5³ - 5 = 125 - 5 = 120.

So, x = 5. The other two numbers are 4 and 6 which are equal to x - 1 and x + 1 respectively.

Now the total of these numbers is 3x = 3×5 = 15.

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2180 . If the product of 3 different positive integers is 6, then twice the sum of the integers is ----

A. 6
B. 12
C. 18
D. 36

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Answer: Option B

Explanation:

There is no way of solving this problem mathematically, as no relation between the integers is given.

Now, it is said the integers are positive only 1, 2, 3 is the possible combination (1×2×3 = 6).

So, their sum = 1 + 2 + 3 = 6.

Twice of the sum is 12.

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2181 . If the product of three consecutive integers is 210, then the sum of integers is .

A. 14
B. 15
C. 18
D. 21

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Answer: Option C

Explanation:

Previous Explanation - 5

Thus 210 can be written as 5 x 6 x 7. This means that the consecutive integers are 5, 6, and 7, and their sum is 18.

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Bangladesh Bank - Assistant Director - 2004

A. 5
B. 11
C. 20
D. 13

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Answer: Option B

Explanation:

Here, 210 = 2 x 3 x 5 x 7

Product of three consecutive integers 5, 6 & 7 = 5 x 6 x 7 = 210.

So, the sum of the first two integers = 5 + 6 = 11

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2183 . If the product of three consecutive integers is 720, then the sum of the two largest integers is

A. 10
B. 15
C. 17
D. 19

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Answer: Option D

Explanation:

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সমন্বিত ব্যাংক অফিসার (ক্যাশ) || (02-06-2023)

A. -2
B. 2
C. 4
D. 5
E. None of these

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Answer: Option D

Explanation:

Let the number be a, b

So, a + b = 7

b = ( 7 - a)

and, ab = 10

a( 7 - a) = 10

a2 - 7a + 10 = 0

(a - 5) ( a + 2) = 0

a = 5, 2

So, the larger of the two number is 5

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2185 . If the product of two numbers is 560 and greatest common factor is 4. Then what is the least common multiple?

A. 70
B. 140
C. 120
D. 45

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Answer: Option B

Explanation:

আমরা জানি,
গ.সা.গু x ল.সা.গু = সংখ্যাদ্বয়ের গুণফল
⇒ 4 × ল.সা.গু = 560
⇒ ল.সা.গু = 140

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সোনালী ও ডিবিবিএল ব্যাংক- সিনিয়র অফিসার (আইটি) - 16.10.2020 ||

A. 3.6%
B. 6%
C. 12.36%
D. 36%

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Answer: Option C

Explanation:

Let's call the original radius of the circle "r".

When the radius is increased by 6%, the new radius becomes r + (r * 0.06) = 1.06r.

The area of a circle is given by the formula:

A = π * r^2

So, the original area of the circle would be:

A = π * r^2

And the new area of the circle would be:

A' = π * (1.06r)^2

To find the increase in area, we can subtract the original area from the new area:

A' - A = π * (1.06r)^2 - π * r^2
A' - A = π * (1.06^2) * r^2 - π * r^2
A' - A = π * (1.1236) * r^2 - π * r^2

We can simplify the expression to get:

A' - A = π * (1.1236 - 1) * r^2
A' - A = π * 0.1236 * r^2

So, the increase in area is proportional to the square of the increase in radius. To find the percentage increase in area, we would need to know the original radius and calculate the increase as a fraction of the original area. But in general, increasing the radius by 6% leads to an increase in area of approximately 12.36% (calculated as 0.1236 * 100).

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2187 . if the radious of cylinder is halved and height is doubled, then what will be the curved surface area

A. increase by one
B. the same
C. double
D. triple

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Answer: Option B

Explanation:

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Sonali Bank Ltd. Senior Officer Recruitment 01.06.2018

A. 21%
B. 10%
C. 18%
D. 20%

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Answer: Option A

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অফিসার (জেনারেল) - 12.11.2021

2189 . If the radius of a circle is 6 cm and a circular segment subtens an angle

A. $2 πcm$
B. $6 πcm$
C. $πcm$
D. $3 πcm$

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Answer: Option C

Explanation:

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অফিসার (জেনারেল) - 12.11.2021

A. 20%
B. 30%
C. 36%
D. 40%

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Answer: Option C

Explanation:

When the radius of a circle is decreased by 20%, the new radius becomes 80% (100% - 20%) of the original radius.

Let's denote the original radius as "R" and the new radius as "0.8R" (80% of R).

Now, let's calculate the areas of the original circle and the new circle:

The area of the original circle with radius R is πR^2.
The area of the new circle with radius 0.8R is π(0.8R)^2.

To find the percentage decrease in the area, we can compare the areas of the new and original circles:

(π(0.8R)^2 - πR^2) / (πR^2) * 100%

Simplify:

[(0.8R)^2 - R^2] / R^2 * 100%

Now, calculate:

[(0.64R^2 - R^2) / R^2] * 100%

Simplify further:

[(-0.36R^2) / R^2] * 100%

The R^2 terms cancel out:

-0.36 * 100%

So, the area is decreased by 36%. Therefore, the correct answer is 36%.

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সোনালী ও জনতা ব্যাংক - অফিসার(আইটি) - 02.10.2021

2176 . If the price of an item is increased by 10% and then decreased by 10%, the net effect on the price of the item is --

2177 . If the price of Hilsa fish is currently Tk.100 per kg, and the price tripples every months, how long will be untill the price of Hilsa is Tk.8100/kg?

2178 . If the price of sugar increases by 25% and Asif intend to spend only 15% more on sugar, by what percent should he reduce his purchase of sugar in quantity?

2179 . If the product of 3 consecutive integers is 120, then the sum of the integers is----

2180 . If the product of 3 different positive integers is 6, then twice the sum of the integers is ----

2181 . If the product of three consecutive integers is 210, then the sum of integers is .

2182 . If the product of three consecutive integers is 210, then the sum of the two smaller integers is -

2183 . If the product of three consecutive integers is 720, then the sum of the two largest integers is

2184 . If the product of two numbers is 10 and the sum of the two numbers is 7, then the larger of the two numbers is ----

2185 . If the product of two numbers is 560 and greatest common factor is 4. Then what is the least common multiple?

2186 . If the radious of a circle is increased by 6%, then the area of the circle is increased by--

2187 . if the radious of cylinder is halved and height is doubled, then what will be the curved surface area

2188 . IF the radiud of a sphere is increaded by 10%, how much will the surface area be increaded in ercentage?

2190 . If the radius of a circle is decreased by 20% then the area is decreased by:

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