31 . 4x4 +25x2 +36=?

A. (x + 2)(x - 2)(2x + 3)(2x - 3)
B. (2x + 1)(2x - 1)(2 + 6)(x - 6)
C. (x + 3)(x - 3)(2x + 2)(2x - 2)
D. (x + 2)(2x - 3)(2x + 3)(3x + 2)

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Answer: Option A

Explanation:

প্রিমিয়াম প্ল্যান: ১ মাস

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

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32 . I f f ( x ) = x x − 2 t h e n v a l u e o f f − 1 ( 2 ) ?

A. 2
B. 3
C. 4
D. 5

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Answer: Option C

Explanation:

33 . If a, b, and c are the lengths of the three sides of a triangle, then which of the following is true?

A. a + b < c
B. a - b < c
C. a + b = c
D. a+b≥c

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Answer: Option B

Explanation:

সমন্বিত ৭ ব্যাংক || অফিসার (ক্যাশ) (24-05-2024)

A. 1
C. 8
D. 10

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Answer: Option D

Explanation:

35 . If Masud can do a job in P days, while Minhaz can do the same job in Q days separately, how long will it take to finish the job if they work together?

A. (P+Q)/PQ days
B. PQ/(P+Q) days
C. (P+Q) days
D. (1/P + 1/Q) days

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Answer: Option B

Explanation:

সমন্বিত ৭ ব্যাংক || অফিসার (ক্যাশ) (24-05-2024)

A. 1, 2
B. 2, 4
C. 2, 1
D. 3, 4

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Answer: Option C

Explanation:

x/y=2
⇒x=2y
∴x+2y=x+x=4
⇒2x=4
⇒x=2
∴y=1

37 . If X is the difference if the squaresof two consecutive even numbers, which of the following numbers is a divisor of X?

A. 4
B. 7
C. 8
D. 9

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Answer: Option A

Explanation:

Let's consider two consecutive even numbers as 2n and 2n+2, where n is any integer.
The square of 2n is (2n)^2 = 4n^2. The square of 2n+2 is (2n+2)^2 = 4(n+1)^2.
Now, let's find the difference between these squares:
X = (2n+2)^2 - (2n)^2 X = 4(n+1)^2 - 4n^2
Now, factor out 4:
X = 4[(n+1)^2 - n^2]
Now, simplify the expression inside the square brackets:
X = 4[(n^2 + 2n + 1) - n^2]
X = 4(2n + 1)
X = 8n + 4
Now, we can see that X is divisible by 4 because it has a factor of 4. So, the correct answer is 4.

গ্যাস ট্রান্সমিশন কোম্পানি লিমিটেড | সহকারী ব্যবস্থাপক - 26.11.2021 || 2021

A. 36
B. 28
C. 22
D. 11

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Answer: Option D

Explanation:

15x - 2 = 40

⇨ 15x = 42

y = 2 .5x + 4

⇨ 6y = 15x + 24

⇨ 6y = 42 + 24 = 66

⇨ y = 11

প্রধান প্রশাসনিক কর্মকর্তার কার্যালয় ( প্রতিরক্ষা মন্ত্রণালয়) সহকারী পরিচালক ০৫.০৪.২০১৯

A. 6
B. 4
C. 12
D. 16

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Answer: Option A

Explanation:

সমন্বিত ৭ ব্যাংক || অফিসার (ক্যাশ) (24-05-2024)

A. 6 years
B. 8 years
C. 12 years
D. 24 years

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Answer: Option C

Explanation:

সমন্বিত ৭ ব্যাংক || অফিসার (ক্যাশ) (24-05-2024)

41 . Which of the following equations is not equivalent to $25 x^{2} = y^{2} - 4$ ..

A. $25 x^{2} + 4 = y^{2}$
B. $75 x^{2} = 3 y^{2} - 12$
C. $25 x^{2} = (y + 2) (y - 2)$
D. $5 x = y - 2$

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Answer: Option D

Explanation:

42 . x, y are positive integers. When x is divided by y, the remainder is 5. If x/y=5.20, what is the value of x?

A. 130
B. 155
C. 330
D. 425

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Answer: Option A

Explanation:

To find the value of x when x is divided by y, the remainder is 5, and x/y = 5.20, you can use the following approach:

Let's first express the given information mathematically:

x divided by y with a remainder of 5 can be written as: x = 5y + 5

x/y = 5.20 can be written as: x/y = 520/100

Now, we have two equations:

x = 5y + 5 x/y = 520/100

We can solve the second equation for x:

x = (520/100) * y

Now, let's substitute this expression for x into the first equation:

5y + 5 = (520/100) * y

Now, solve for y:

5y + 5 = (5.20) * y

5y + 5 = 5.2y

Now, subtract 5y from both sides:

5 = 0.2y

Now, divide by 0.2:

y = 5 / 0.2

y = 25

Now that we have found the value of y, we can find the value of x using the first equation:

x = 5y + 5 x = 5 * 25 + 5 x = 125 + 5 x = 130

So, the value of x is 130.

বাপেক্স || সহকারী ব্যবস্থাপক (27-01-2023)

A. 2 < x < 3
B. − 3 < x < − 2
C. x<2
D. x<3

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Answer: Option B

Explanation:

x2 - 5x + 6<0
⇒x2 - 3x - 2x + 6<0
⇒x(x - 3) - 2(x - 3)<0
⇒(x - 3)(x - 2)<0
(x - 3) ও (x - 2) এর যে কোনো একেটির মান ঋণাত্মক হলে অসমতাটি সত্য হবে।

44 . |−4||+4|=?

B. 4
C. 8
D. 16

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Answer: Option C

Explanation:

45 . If 3x-5y=5 and x x + y = 5 7 t h e n w h a t i s t h v a l u e o f x − y i s −

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

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Answer: Option B

Explanation:

31 . 4x4 +25x2 +36=?

32 . I f f ( x ) = x x − 2 t h e n v a l u e o f f − 1 ( 2 ) ?

33 . If a, b, and c are the lengths of the three sides of a triangle, then which of the following is true?

34 . If f(x) = 5 - 2x and f(3k) = f(f + 1), then f(k) = ?

35 . If Masud can do a job in P days, while Minhaz can do the same job in Q days separately, how long will it take to finish the job if they work together?

36 . If x + 2y = 4 and x/y = 2, then determine the value of x and y?

37 . If X is the difference if the squaresof two consecutive even numbers, which of the following numbers is a divisor of X?

38 . If y =2.5 x +4 and 15x-2 =40 then y=?

39 . In a class of 60, 32 studied English, 28 studied Bengali and 6 did not study either. How many of the students studied both?

40 . Six years ago, Hena was 1/4th of the age she will be after 12 years from now. How old is she now?

42 . x, y are positive integers. When x is divided by y, the remainder is 5. If x/y=5.20, what is the value of x?

43 . x 2 − 5 x + 6 < 0 = ?

44 . |−4||+4|=?

45 . If 3x-5y=5 and x x + y = 5 7 t h e n w h a t i s t h v a l u e o f x − y i s −

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