3136 . The interest charged on a loan is ‘P’, per Tk, 1000 for the first quarter (3 months), and 'Q' per Tk. 1000 for each month after the first quarter. How much interest will be charged for the first year on Tk. 10,000?

A. 10(P+Q)
B. 10(P+9Q)
C. 4P+9Q
D. None of this

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Answer: Option B

Explanation:

For the first three month interest of Tk 10000 = 10p
For the each month after three month interest of Tk 10000 = 10*9q
Total interest = 10(p + 9q)

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3137 . The interest on a certain deposit at 4.5% p.a. is TK. 202.50 in one year. How much will the additional interest in one year be on the same deposit at 5% p.a. ?

A. TK. 22.50
B. TK. 25
C. TK. 20.25
D. TK. 42.75

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Answer: Option A

Explanation:

For 4.5% p.a

I = pnr/100

P = I × 100/nr = ( 202.50 × 100)/( 1× 4.5) = 4500

for 5% p.a

I = pnr

= 4500 × 1 × 5/100 = 225

The total additional interest = ( 225 - 202.50)Tk. = 22.50tk.

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Bangladesh Bank - Officer(Cash) - 2016

A. Tk.450
B. Tk.300
C. Tk.31.5
D. None of these

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Answer: Option D

Explanation:

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3139 . The interior angles of a polygon are in AP. The smallest angle is 120° and the common differences is 5". Find the number of sides of the polygon.

A. 7
B. +8
C. 9
D. 10

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Answer: Option C

Explanation:

To find the number of sides of the polygon, you can use the following formula for the sum of interior angles in a polygon:

Sum of Interior Angles = (n - 2) × 180°

Where "n" is the number of sides of the polygon.

In this case, you are given that the smallest angle is 120°, and the common difference between the interior angles is 5°. So, you can set up an arithmetic progression (AP) to find the sum of the interior angles:

First angle (a) = 120° Common difference (d) = 5°

The sum of an AP is given by:

Sum = n/2 * [2a + (n-1)d]

Now, plug in the values:

Sum = n/2 * [2(120°) + (n-1)(5°)]

Simplify:

Sum = n/2 * [240° + 5°(n-1)]

Sum = n/2 * [240° + 5n - 5°]

Sum = n/2 * [5n + 235°]

Now, you know that the sum of interior angles of the polygon is equal to (n - 2) × 180°:

n/2 * [5n + 235°] = (n - 2) × 180°

Now, solve for "n":

n[5n + 235°] = 2(n - 2) × 180°

5n^2 + 235n = 2(180n - 360)

5n^2 + 235n = 360n - 720

Rearrange:

5n^2 - 125n - 720 = 0

Now, you can solve this quadratic equation for "n." You can either use the quadratic formula or factor it. Factoring, you get:

(n - 9)(5n + 80) = 0

Setting each factor equal to zero:

n - 9 = 0 => n = 9
5n + 80 = 0 => 5n = -80 => n = -16 (but this doesn't make sense in this context)

So, the number of sides of the polygon is 9.

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

A. (x-1)/2
B. (x+1)/2
C. 2x-1
D. 2x-1

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Answer: Option B

Explanation:

Caution: Inverse function (not inverse only)
Formula for inverse function:
1. y = f(x)
=> x => f^-1(y)
2. find x = something

Lets start:
y = f(x) = 2x-1
=> 2x = y+1
=> x = (y+1) / 2
=> f^-1(y) = (y+1) / 2
=> f^-1(x) = (x+1) / 2

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সমন্বিত ৭ ব্যাংক ও ১টি আর্থিক | সিনিয়র_অফিসার | 27-11-2021

A. 28
B. 32
C. 40
D. 64

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Answer: Option C

Explanation:

Let the numbers be 2x and 3x

Then, their L.C.M = 6x

So, 6x = 48

x = 8

The numbers are 16 and 24

Hence, required sum = (16 + 24) = 40

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3142 . The larger of two numbers exceeds twice the smaller number by 9. The sum of twice the larger and 5 times the smaller is 74. If a is the sum of the smaller number, which equation below determines the correct value of a?

A. 5(2a + 9) + 2a = 74
B. 5(2a - 9) + 2a = 74
C. (4a + 9) + 5a = 74
D. 2(2a + 9) + 5a = 74

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Answer: Option D

Explanation:

ধরি, ছোট সংখ্যাটি a

বড় সংখ্যাটি 2a + 9

শর্তমতে, 2 (2a + 9) + 5a = 74

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3143 . The larger of two numbers exceeds twice the smaller number by 9. The sum of twice the larger and 5 times the smaller number is 74. If a is the smaller number, which eqution below determines the correct value of a ?

A. 5(2a+9)+2a = 74
B. 5(2a-9+2a)=74
C. (4a+9)+5a=75
D. 2(2a+9)+5a=74

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Answer: Option D

Explanation:

ধরি, ছোট সংখ্যাটি a

বড় সংখ্যাটি 2a + 9

শর্তমতে, 2 (2a + 9) + 5a = 74

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3144 . The largest number from among

A. $\sqrt[3]{3}$
B. $\sqrt{2}$
C. $\sqrt[4]{4}$
D. None of these

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Answer: Option A

Explanation:

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Bangladesh Bank - Assistant Director - 2014

A. 30
B. 60
C. 15
D. 75

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Answer: Option A

Explanation:

The other number is = (LCM*HCF) / one number

= (90*15)/45 = 30 (Ans)

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সমন্বিত ৭ ব্যাংক ও ১টি আর্থিক | সিনিয়র_অফিসার | 27-11-2021

A. 2
B. 3
C. 6
D. 24

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Answer: Option C

Explanation:

294 = 7 x 7 x 2 x 3. To get a perfect square, it has to be multiplied by 2 x 3 i.e., 6.

∴
Required number = 6.

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

A. 1000
B. 1016
C. 1024
D. 1036

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Answer: Option C

Explanation:

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3148 . The least number which is a perfect square and is divisible by each of the numbers 16, 20 and 24, is :

A. 1600
B. 3600
C. 6400
D. 14400

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Answer: Option B

Explanation:

16, 20 ও 24 এর ল, সা, গু = 240

240 = (2×2) ×(2×2) ×(3×5)

এখানে, 3 ও 5 জোড়াবিহীন । সুতরাং 240 কে 15 দ্বারা গুন করলে সংখ্যটি পূর্ণবর্গ হবে।

সংখ্যাটি = 240×15 = 3600

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3149 . The least number which should be added 2497 so that the sum is exactly divisible 5,6,4 and 3 is -

A. 23
B. 13
C. 3
D. 33

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Answer: Option A

Explanation:

5,6,4 এবং 3 এর ল.সা.গু = 60

Now, 2497÷60 = 41, অবশিষ্ট 37

∴(60 - 37) = 23 যােগ করতে হবে।

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3150 . The least perfect square number divisible by 3, 4, 5, 6 and 8 is :

A. 900
B. 1200
C. 2500
D. 3600

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Answer: Option D

Explanation:

To find least perfect square diviisible by 3, 4, 5, 6, and 8 L.C.M of 3, 4, 5, 6, and 8 = 120

120 = 2×2×3×5

In the above factorization 2, 3 and 5 are not in Paris so let multiphy it by the sated numbers

120×2×5×5 = 3600

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3136 . The interest charged on a loan is ‘P’, per Tk, 1000 for the first quarter (3 months), and 'Q' per Tk. 1000 for each month after the first quarter. How much interest will be charged for the first year on Tk. 10,000?

3137 . The interest on a certain deposit at 4.5% p.a. is TK. 202.50 in one year. How much will the additional interest in one year be on the same deposit at 5% p.a. ?

3138 . The interest on a certain deposit at 9% per annum is Tk.405 in one year. How much will the additional interest in one year be on the same diposit at 10 percent per annum?

3139 . The interior angles of a polygon are in AP. The smallest angle is 120° and the common differences is 5". Find the number of sides of the polygon.

3140 . The inverse of f(x) =2x-1 is

3141 . The L.C.M. of two numbers is 48. The numbers are in the ratio 2 : 3. The sum of the numbers is :

3142 . The larger of two numbers exceeds twice the smaller number by 9. The sum of twice the larger and 5 times the smaller is 74. If a is the sum of the smaller number, which equation below determines the correct value of a?

3143 . The larger of two numbers exceeds twice the smaller number by 9. The sum of twice the larger and 5 times the smaller number is 74. If a is the smaller number, which eqution below determines the correct value of a ?

3145 . The LCM and HCF of two numbers are 90 and 15 respectively . If one number is 45, the other number is-

3146 . The least number by which 294 must be multiplied to make it a perfect square, is:

3147 . The least number of 4 digits which is a perfect square, is:

3148 . The least number which is a perfect square and is divisible by each of the numbers 16, 20 and 24, is :

3149 . The least number which should be added 2497 so that the sum is exactly divisible 5,6,4 and 3 is -

3150 . The least perfect square number divisible by 3, 4, 5, 6 and 8 is :

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