5911 . 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 :

A. $1 : 2$
B. $1 : 4$
C. $1 \sqrt{3}$
D. $\sqrt{2} : \sqrt{3}$

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Answer: Option A

Explanation:

Diagonal of a square = √2 × Side The ratio of area of the smaller circle to the larger circle = πr12/πr22 = {π × (a/2)2}/{π × (√2a/2)2} Here, a = Diameter of the smaller circle = 1/2 = 1:2

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

প্রিমিয়াম প্ল্যান: ৩ মাস

199 ৳

৯০ দিনের জন্য সকল লাইভ এবং আর্কাইভ মডেল টেস্ট, প্রশ্ন ব্যাংক ও লেকচার শিট সহ অ্যাপ এর প্রিমিয়াম সব এক্সেস পাবেন।

সাবস্ক্রিপশন লিংক

5912 . Tea worth tk. 126 per kg and Tk.135 per kg are mixed with a third variety in the ratio 1:1:2. If the mixture is worth tTk.153 per kg,The price of third variety per kg will be:

A. Tk. 169.50
B. Tk 170
C. 175.50
D. 180

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Answer: Option C

Explanation:

Let, the amount of tea is gradually 1 kg, 1kg and 2kg.

price of third variety is x taka per kg

According to question . ( 126 + 135 + 2x)/4 = 153

261 + 2x = 612

2x = 612 - 261

2x = 351

x = 175.50.

পল্লী কর্ম সহায়ক ফাউন্ডেশনের অ্যাসিসট্যান্ট ম্যানেজার-০৭.০৩.২০১৪

A. 45 ডিগ্রী
B. 30 ডিগ্রী
C. 60 ডিগ্রী
D. 70 ডিগ্রী

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Answer: Option A

Explanation:

here, tanA=1

tanA=tan45ডিগ্রী

A=45ডিগ্রী

৮ম শিক্ষক নিবন্ধন পরীক্ষা (স্কুল পর্যায়) (31-08-2012)

5914 . tanA = 1 হলে, A-এর মান কত ডিগ্রী ?

A. 45 ডিগ্রী
B. 30 ডিগ্রী
C. 60 ডিগ্রী
D. 70 ডিগ্রী

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Answer: Option A

Explanation:

৮ম শিক্ষক নিবন্ধন পরীক্ষা (স্কুল পর্যায়) (31-08-2012)

A. √3
B. 3
C. 9
D. 7

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Answer: Option A

Explanation:

A ইউনিট : 2017-2018 || জগন্নাথ বিশ্ববিদ্যালয় || 2017

B. 45°
C. 1
D. 27°

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Answer: Option C

Explanation:

D ইউনিট কলা ও মানববিদ্যা (২০২৩-২০২৪) || (16-03-2024) || চট্টগ্রাম বিশ্ববিদ্যালয় || 2024

5917 . tan(3A)= $\sqrt{3}$ হলে, A=কত?

A. $45 °$
B. $30 °$
C. $20 °$
D. $15 °$

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Answer: Option C

Explanation:

\tan (3 A) = \sqrt{3} = \tan (3 A) = \tan 60 ° = 3 A = 60 ° A = \frac{60 °}{3} = 20 °

5918 . tahmid is four times as old as koushik.in x years,tahmid will be three times as old as koushik.how old is koushik in terms of x ?

A. 2x
B. 3x
C. 4x
D. 8x

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Answer: Option A

Explanation:

Let's use algebra to solve this problem. Let K represent Koushik's current age, and T represent Tahmid's current age. We'll set up equations based on the given information. "Tahmid is four times as old as Koushik": T = 4K "In x years, Tahmid will be three times as old as Koushik": In x years, Tahmid's age will be T + x, and Koushik's age will be K + x. So, we can write: T + x = 3(K + x) Now, we have a system of two equations: T = 4K T + x = 3(K + x) We can solve this system of equations to find Koushik's age (K) in terms of x. First, substitute the value of T from the first equation into the second equation: 4K + x = 3(K + x) Now, let's solve for K: 4K + x = 3K + 3x Subtract 3K and x from both sides: 4K - 3K = 3x - x K = 2x So, Koushik's current age, in terms of x, is 2x.

BCSIC নিয়োগ পরীক্ষা - ২০১৮ পদ: এক্সটেনশন অফিসার তারিখ: ০৯-১১-২০১৮

A. 2/3 Kt
B. 3/2KT²
C. 3/2 KT

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Answer: Option A

Explanation:

ক ইউনিট (2010-2011) || ঢাকা বিশ্ববিদ্যালয় || 2010

5920 . Suppose you have Tk.500 to spend on beef and chicken. Beef costs Tk.110 per kg and Chicken costs Tk.85 per kg. Write an expression that must be satisfied it you are to consume x kg beef and y kg chicken.

A. $100 x + 85 y > 500$
B. $100 x + 85 y < 500$
C. $100 x + 85 y \geq 500$
D. $100 x + 85 y \leq 500$

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Answer: Option D

Explanation:

5921 . Sumon bought 2 varieties of rice, costing Taka 8 per kg and Taka 12 per kg each and mixed them in some ratio. Then he sold the mixture at Taka 12 per kg, making a profit 20%. What has the ratio of mixture?

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

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Answer: Option C

Explanation:

বাংলাদেশ সেতু কর্তৃপক্ষ (সহকারী সাব-ইঞ্জিনিয়ার) 18-12-2020

A. 151
B. 135
C. 141
D. 138
E. None

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Answer: Option B

Explanation:

সাধারণ বীমা কর্পোরেশন || সহকারী ব্যবস্থাপক (08-11-2024) || 2024

A. 540
B. 600
C. 660
D. 720

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Answer: Option B

Explanation:

Let's use algebra to solve this problem.

Let A be the number of apple seeds and O be the number of orange seeds that Sue planted.

According to the given information:

1. A = 4O (Sue planted 4 times as many apple seeds as orange seeds).
2. 15% of the apple seeds grew into trees, so 0.15A apple trees grew.
3. 10% of the orange seeds grew into trees, so 0.10O orange trees grew.
4. The total number of trees is 420: A + O = 420.

Now, we can set up a system of equations based on the above information:

From equation 1, we have: A = 4O

From equations 2 and 3, we know the total number of trees: 0.15A + 0.10O = 420

Now, substitute the value of A from equation 1 into equation 2: 0.15(4O) + 0.10O = 420

Simplify the equation: 0.60O + 0.10O = 420

Combine like terms: 0.70O = 420

Now, solve for O (the number of orange seeds): O = 420 / 0.70 O = 600

So, Sue planted 600 orange seeds.

বাংলাদেশ সিকিউরিটিজ অ্যান্ড এক্সচেঞ্জ কমিশন(সহকারী পরিচালক) 19-06-2021

5924 . Solve for the value of x and y : $3^{x} = 9^{y}, 5^{x + y + 1} = 25^{x y}$

A. (0,-1), 11/23
B. (2,1), $(\frac{- 1}{2} \frac{- 1}{4})$
C. (1/2 1/3), (-2,-1)
D. (2,1), $(\frac{- 1}{4} \frac{1}{2})$

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Answer: Option B

Explanation:

5925 . Solution X contains 40% salt and 60% water by weights, Solution Y contains 25% salt and 75% water. If a mixture of X and Y contains 30% salt. What percent of the weight of this mixture is solution X?

A. 10%
B. 33.3%
C. 40%
D. 42.5%

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Answer: Option B

Explanation:

Let x g be the weight of solution X in 100 g of the mixture.
Then, the weight of solution Y in 100 g of the mixture = (100 - x) g

Mass of salt in the mixture:
x (40%) + (100 - x) (25%) = 100 (30%)
40x + 2500 - 25x = 3000
15x = 500
x = 33 1/3

Hence, there are (33 1/3)% of solution X in the mixture.

তিতাস গ্যাস ট্রান্সমিশন অ্যান্ড ডিস্ট্রিবিউসন কো. লি.-সহকারী ব্যবস্থাপক-08-10-2021

5912 . Tea worth tk. 126 per kg and Tk.135 per kg are mixed with a third variety in the ratio 1:1:2. If the mixture is worth tTk.153 per kg,The price of third variety per kg will be:

5913 . tanA = 1 হলে, A-এর মান কত ডিগ্রী ?

5915 . tan40 ͦ tan50 ͦ tan 60 ͦ এর মান-

5916 . tan 9° + tan 36° + tan 9º tan 36° = কত?

5918 . tahmid is four times as old as koushik.in x years,tahmid will be three times as old as koushik.how old is koushik in terms of x ?

5919 . T তাপমাত্রায় আদর্শ গ্যাসের ক্ষেত্রে একটি অণুর গড় গতি শক্তি -

5921 . Sumon bought 2 varieties of rice, costing Taka 8 per kg and Taka 12 per kg each and mixed them in some ratio. Then he sold the mixture at Taka 12 per kg, making a profit 20%. What has the ratio of mixture?

5922 . Sum of three consecutive multiples of 3 is 396. Find the largest number.

5923 . Sue planted 4 times as many apple seeds as she planted orange seeds. 15% of the apple seeds grew into trees, and 10% of the orange seeds grew into trees. If a total of 420 apple trees and orange trees grew from the seeds, how many orange seeds did Sue plant?

5925 . Solution X contains 40% salt and 60% water by weights, Solution Y contains 25% salt and 75% water. If a mixture of X and Y contains 30% salt. What percent of the weight of this mixture is solution X?

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