2176 . If the operation ^ is defined by the equation x ^ y = 2x + y, what is the value of a in 2 ^ a = a ^ 3 ?

B. -1
C. 4
D. 1
E. None of these

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Answer: Option D

Explanation:

2^a = a^3

2 × 2 + a = 2a + 3

a = 4 - 3 = 1.

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Bangladesh Bank - Assistant Director - 2009

B. 1
C. -1
D. 4

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Answer: Option B

Explanation:

2^a = a^3

2 × 2 + a = 2a + 3

a = 4 - 3 = 1

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2178 . If the perimeter of a rectangular garden plot is 34 feet and its area is 60 square feet, what is the length of each of the longer sides?

A. 5 feet
B. 6 feet
C. 10 feet
D. 12 feet

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Answer: Option D

Explanation:

Let the length be L and Breadth be B. Given Perimeter 2(L + B) = 34 - - - - - > Thus L + B = 17 LB = 60 - - - - - - > We can solve the equation but the best way will be to plugin. Note that A and B can be ruled out because the other side will be smaller. So the options are between C and D. Let L be 10 Ft then B = 7 ft and Area is 70 which is not true Let L be 12ft then B = 5 ft and Area is 60 - - - - - > Bingo...what we need.

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2179 . If the population of a certain country increases at the rate of one person every 15 seconds, by how many persons does the population increase in 20 minutes?

A. 80
B. 100
C. 150
D. 240

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Answer: Option A

Explanation:

Population increased in 15 sec = 1

Population increased in 60 sec or 1 min = 1×4 = 4

Population increased in 20 min = 4×20 = 80

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2180 . If the present value of Tk.133.10 in three years time is Tk.100, the rate of interest is--

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

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Answer: Option C

Explanation:

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2181 . If the price of a dress is Tk.200 that includes 15% VAT, then what is the amount of VAT?

A. Tk.30.00
B. Tk.26.09
C. Tk.32.09
D. Tk.31.85

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Answer: Option B

Explanation:

Let the price excluding VAT be A.

So, A + 15% of A = 200

or, A + 0.15A = 200

or, 1.15A = 200

or, A = 200/1.15 = 173.91 TK

So, VAT = 200 - 173.91 = 26.09 TK

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2182 . 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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2184 . 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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2186 . 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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2187 . 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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2189 . 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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2176 . If the operation ^ is defined by the equation x ^ y = 2x + y, what is the value of a in 2 ^ a = a ^ 3 ?

2177 . If the operation ^ is defined by the equation x ^ y = 2x + y, what is the value of a in 2 ^ a = a ^ 3?

2178 . If the perimeter of a rectangular garden plot is 34 feet and its area is 60 square feet, what is the length of each of the longer sides?

2179 . If the population of a certain country increases at the rate of one person every 15 seconds, by how many persons does the population increase in 20 minutes?

2180 . If the present value of Tk.133.10 in three years time is Tk.100, the rate of interest is--

2181 . If the price of a dress is Tk.200 that includes 15% VAT, then what is the amount of VAT?

2182 . 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 --

2183 . 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?

2184 . 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?

2185 . If the product of 3 consecutive integers is 120, then the sum of the integers is----

2186 . If the product of 3 different positive integers is 6, then twice the sum of the integers is ----

2187 . If the product of three consecutive integers is 210, then the sum of integers is .

2188 . If the product of three consecutive integers is 210, then the sum of the two smaller integers is -

2189 . If the product of three consecutive integers is 720, then the sum of the two largest integers is

2190 . 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 ----

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