8416 . A sum of Tk. 12,500 amounts to Tk. 15,500 in 4 years at the rate of simple interest. What is the rate of interest?

A. 3%
B. 4%
C. 5%
D. 6%

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Answer: Option D

Explanation:

Hints: Simple interest, I = Pnr (15500 - 12500) = 12500 × 4 × r r = 3/50 rate = 3/50 × 100% = 6 %

C ইউনিট ব্যবসা শিক্ষা (২০২৩-২০২৪) || (09-03-2024) || চট্টগ্রাম বিশ্ববিদ্যালয়

A. 18
B. 24
C. 36
D. 45

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Answer: Option B

Explanation:

লোকটি প্রথম 2 ঘণ্টা অতিক্রম করে = 30 × 2 = 60 মাইল ∴ Average speed = মোট দূরত্ব / মোট সময় = ( 60 + 60)/(2 + 3) = 120/5 = 24 mph

C ইউনিট ব্যবসা শিক্ষা (২০২৩-২০২৪) || (09-03-2024) || চট্টগ্রাম বিশ্ববিদ্যালয়

A. 39
B. 40
C. 45
D. 49

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Answer: Option A

Explanation:

C ইউনিট ব্যবসা শিক্ষা (২০২৩-২০২৪) || (09-03-2024) || চট্টগ্রাম বিশ্ববিদ্যালয়

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

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Answer: Option C

Explanation:

C ইউনিট ব্যবসা শিক্ষা (২০২৩-২০২৪) || (09-03-2024) || চট্টগ্রাম বিশ্ববিদ্যালয়

8420 . $a^{n} . a^{m - n} = ?$

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

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Answer: Option A

Explanation:

8421 . $a^{5} . a . a^{- 6}$ = কত?

A. a
B. $a^{2}$
D. 1

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Answer: Option D

Explanation:

8422 . ${(x^{2})}^{3}$ কে $x^{3}$ দ্বারা গুণ করলে কত হবে?

A. $x^{9}$
B. $x^{18}$
C. $x^{27}$
D. $x^{24}$

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Answer: Option A

Explanation:

8423 . Rubel can do a job in 8 days, and his son can do it in 12 day. How long would it take them to do the job if they worked together?

A. 4.8
B. 5
C. 10
D. 15

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Answer: Option A

Explanation:

C ইউনিট ব্যবসা শিক্ষা (২০২৩-২০২৪) || (09-03-2024) || চট্টগ্রাম বিশ্ববিদ্যালয়

8424 . ${(m^{x - y})}^{x + y} \times {(m^{y - z})}^{y + z} \times {(m^{z - x})}^{z + x = ?}$

B. 1
C. $\frac{1}{2}$
D. 2

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Answer: Option B

Explanation:

8425 . 5x0= কত?

B. 5x
C. 5
D. 1

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Answer: Option D

Explanation:

8426 . $4^{x + 1} = 2^{x - 2}$ হলে , x এর মান কত?

A. 3
B. 6
C. -4
D. -2

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Answer: Option C

Explanation:

4^(x+1)=2^(x-2)

Or, 2^(2x+2)=2^(x-2)

Or, 2x+2=x-2

Or, x=-4

(ans)

8427 . $x^{y} = y^{x}, x = 2 y (x \neq 0, y \neq 0)$ হলে,(x,y) = কত?

A. (8,4)
B. ( 6,3)
C. (2,1)
D. (4,2)

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Answer: Option D

Explanation:

8428 . ${(\sqrt{3})}^{6} =$ কত?

A. 9
B. 27
C. 18
D. 81

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Answer: Option B

Explanation:

8429 . ${(\sqrt{3} \times \sqrt{5})}^{4}$ এর মান কত?

A. 30
B. 60
C. 225
D. 115

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Answer: Option C

Explanation:

(√3×√5)⁴

=(√15)⁴

=225

(Ans)

8430 . ${(\frac{125}{27})}^{- 2 / 3}$ -এর সহজ প্রকাশ ___

A. $(\frac{১}{২ ৫})$
B. $(\frac{৫}{২ ০})$
C. $(\frac{৯}{২ ৫})$
D. $(\frac{৩}{২ ০})$

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Answer: Option C

Explanation:

(125/27)^-2/3

=(5^3/3^3)^-2/3

=(5/3)^3×-2/3

=(5/3)^-1/2

=1/(5/3)^2

=1/(25/9)

=9/25(Ans)

8416 . A sum of Tk. 12,500 amounts to Tk. 15,500 in 4 years at the rate of simple interest. What is the rate of interest?

8417 . A man travels for 2 hours at 30 miles an hour and then covers 60 miles in the next 3 hours. What is the average rate for the entire journey?

8418 . The average age of 24 students in a class is 14. If the teacher's age is included, the average increases by 1. What is the age of teacher?

8419 . What is the difference between 300% of 7 and 200% of 5?

8423 . Rubel can do a job in 8 days, and his son can do it in 12 day. How long would it take them to do the job if they worked together?

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