6331 . If x/y =1/3, then value of $(x^{2} + y^{2}) / (x^{2} - y^{2})$ is- ..

A. -10/9
B. 5/4
C. -5/4
D. -5/3

View Answer	Favorite Question

Answer: Option C

Explanation:

\frac{x}{y} = \frac{1}{3} \frac{x^{2}}{y^{2}} = \frac{1}{9} \frac{x^{2} + y^{2}}{x^{2} - y^{2}} = \frac{1 + 9}{1 - 9} = \frac{10}{- 8} = - \frac{5}{4}

প্রিমিয়াম প্ল্যান: ১ মাস

99 ৳

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

সাবস্ক্রিপশন লিংক

6332 . If x is not a negative number, what is the maximum possible value of $2^{2} - 3^{x} ?$ ..

A. 3
B. 2
C. 1
D. 5

View Answer	Favorite Question

Answer: Option A

Explanation:

To find the maximum possible value of 2^2−3^x, we need to determine the value of x that minimizes 3^x.

Since x is not a negative number, 3^x is a positive number for all real values of x.

To minimize 3^x, we want x to be as small as possible. Therefore, the maximum possible value of 2^2−3^x occurs when x=0:

2^2−3^0=4−1=3

So, the maximum possible value of 2^2−3^x is 3.

6333 . If x = 1, then $- (x^{4} + x^{3} + x^{2} + x) =$ ..

A. -10
B. -4
D. 4

View Answer	Favorite Question

Answer: Option B

Explanation:

6334 . If x = -3, then the value of $- 3 x^{2}$ is-- ..

A. -27
B. -18
C. 27
D. 18

View Answer	Favorite Question

Answer: Option A

Explanation:

6335 . If x +y = 1/a and x-y =a then the value of $x^{2} - y^{2}$ is: ..

A. 4
C. 1
D. $a^{2}$

View Answer	Favorite Question

Answer: Option C

Explanation:

দেওয়া আছে, x + y = \frac{1}{a} এবং x-y=a {এখন, x}^{2} {-y}^{2} = (x + y) (x - y) = \frac{1}{a} ×a=1

6336 . If one factor of $2 a^{4} - 5 a^{3} + 6 a^{2} - 5 a + 2$ is $(a - 1),$ what is the other factor? ..

A. $2 a^{2} - a + 2$
B. $2 a^{2} - a - 2$
C. $a - 2$
D. $a^{2} - 1$

View Answer	Favorite Question

Answer: Option A

Explanation:

6337 . If Michael can shovel all the snow of a standard driveway in 12 minutes, and Emon can shovel all the snow of a standard driveway in 36 minutes, then working together, how many minutes would it take for them both to shovel all the snow of a standard driveway?

A. 5
B. 9
C. 15
D. 18

View Answer	Favorite Question

Answer: Option B

Explanation:

To find how long it would take for Michael and Emon to shovel the snow together, you can use the concept of their combined work rates.

Let M be Michael's work rate (driveways per minute) and E be Emon's work rate (driveways per minute).

Michael can shovel one driveway in 12 minutes, so his work rate is:

M = 1 driveway / 12 minutes = 1/12 driveways per minute

Emon can shovel one driveway in 36 minutes, so his work rate is:

E = 1 driveway / 36 minutes = 1/36 driveways per minute

When they work together, their combined work rate is the sum of their individual work rates:

Combined Work Rate = M + E = (1/12 + 1/36) driveways per minute

Now, find a common denominator to add the fractions:

Combined Work Rate = (3/36 + 1/36) driveways per minute = 4/36 driveways per minute

Simplify the fraction:

Combined Work Rate = 1/9 driveways per minute

Now that you know their combined work rate, you can calculate how long it would take for them to shovel one standard driveway together:

Time = 1 driveway / Combined Work Rate = 1 / (1/9) = 9 minutes

So, it would take Michael and Emon 9 minutes to shovel all the snow of a standard driveway together.

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

6338 . If m and n are whole numbers such that m " = 121, then the value of ${(m - n)}^{n + 1} i s :$ ..

A. 1
B. 10
C. 121
D. 1000

View Answer	Favorite Question

Answer: Option D

Explanation:

m^{n} = 121 = {(11)}^{2} ∴ m = 11; n = 2 ∴ {(m - 1)}^{n + 1} = {(11 - 1)}^{2 + 1} = 10^{3} = 1000

6339 . If f is a function defined from R is given by f (x) = 3x -5, then $f^{- 1} (x)$ is given by : ..

A. 1/(3x-5)
B. (x +5)/3
C. does not exist since it is not a bisection
D. (3x + 5)/3

View Answer	Favorite Question

Answer: Option B

Explanation:

Assit. Programmer | Sonali Bank- Rubali Bank- BD Krishi Bank - 16.11.2018

6340 . If a+b=13 and a-b=3 , then find the value of $a^{2} + b^{2}$ ..

A. 69
B. 79
C. 89
D. 91

View Answer	Favorite Question

Answer: Option C

Explanation:

(a^{2} + b^{2}) = 1 / 2 \{{(a + b)}^{2} + {(a - b)}^{2}\} = \frac{1}{2} \{{(13)}^{2} + {(3)}^{2}\} = \frac{1}{2} (169 + 9) = \frac{1}{2} \times 178 = 89

6341 . If a+b =8 and ab =15, what is the value of $a^{2} + b^{2} ?$ ..

A. 94
B. 79
C. 34
D. 30

View Answer	Favorite Question

Answer: Option C

Explanation:

আমরা জানি, {(a + b)}^{2} = a^{2} + 2 a b + b^{2} \Rightarrow {(8)}^{2} = a^{2} + b^{2} + 2 a b \Rightarrow 64 = a^{2} + b^{2} + (2 \times 15) \Rightarrow a^{2} + b^{2} + (2 \times 15) = 64 \Rightarrow a^{2} + b^{2} = 64 - 30 = 34

6342 . If a+b =8 and ab =12 then find the value of $a^{2} - b^{2}$ ..

A. 16
B. 32
C. 36
D. 49

View Answer	Favorite Question

Answer: Option B

Explanation:

6343 . If A : B = 5 : 4 and A : C = 6 : 5, then C : B = what?

A. 24 : 25
B. 25 : 24
C. 3 : 2
D. None of these

View Answer	Favorite Question

Answer: Option B

Explanation:

পল্লী বিদ্যুতায়ন বোর্ড সহকারী সচিব/সহকারী পরিচালক(প্রশাসন)-২৮.০৬.২০১৩

A. 4
B. 6
C. 9
D. 12

View Answer	Favorite Question

Answer: Option D

Explanation:

বাংলাদেশ সিকিউরিটিজ অ্যান্ড এক্সচেঞ্জ কমিশন(ব্যক্তিগত কর্মকর্তা) 19-06-2021 || 2021

A. 6
B. 3
C. 9
D. 12

View Answer	Favorite Question

Answer: Option A

Explanation:

প্রতি ১২ ঘন্টায় ঘন্টায় কাঁটা ১ টি rotation সম্পন্ন করে।

৭২ ঘন্টায় ঘড়িটি ৭২/১২ টি বা ৬ টি rotation সম্পন্ন করে।

বিদ্যুৎ- জ্বালানি ও খনিজ সম্পদ মন্ত্রণালয় || নর্দান ইলেকট্রিসিটি সাপ্লাই কোম্পানি পিএলসি || সাব-স্টেশন অ্যাটেনডেন্ট (27-01-2024)

6337 . If Michael can shovel all the snow of a standard driveway in 12 minutes, and Emon can shovel all the snow of a standard driveway in 36 minutes, then working together, how many minutes would it take for them both to shovel all the snow of a standard driveway?

6343 . If A : B = 5 : 4 and A : C = 6 : 5, then C : B = what?

6344 . How much is 80% of 40 is greater than 4/5 of 25?

6345 . How many rotations will the hour hand of a clock complete in 72 hours?

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