526 . A club has 8 male & 8 female members. The club is choosing a committee of 6 members. The committee must have 3 male & 3 female members. How many different committees can be chosen?

A. 720
B. 112
C. 9
D. 3136
E. 112896

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Answer: Option D

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527 . A dealer sells a Radio at a gain of 10%. If he had bought it at 10% less and sold it for Tk.132 less. He would have still gained 10%. The CP of the Radio is--

A. 1320
B. 1400
C. 1188
D. 1200
E. 1360

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Answer: Option D

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528 . A line segment is drawn from point (8, -2) to point (4,6). The coordinates of the mid point of this line segment are--

A. (12, 4)
B. (12, 8)
C. (6, 4)
D. (6,2)
E. None of these

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Answer: Option D

Explanation:

Coordinates of the midpoint of a line segment made by joining two points are the averages of the respective coordinates of the two points.

So, coordinate of the midpoint is {(8 + 4)/2 , ( - 2 + 6)/2} = (6,2)

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529 . A rectangular carpet, that is 9 feet by 12 feet, covers 60% of a rectangular floor. What is the area of the floor?

A. 300 square feet
B. 180 square feet
C. 108 square feet
D. 64.8 square feet
E. 64.8 feet

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Answer: Option B

Explanation:

Area of the carpet = 9 x 12 = 108 sq ft

60% of the floor = 108 sq ft

So, total or 100% floor area = 108 x 100 / 60 = 180 sq ft

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530 . Ali buys 1440 dozen pens @ Taka 2.50 a dozen and sells them @ Taka 0.24 a piece. Find his total profit?

A. Tk.60.00
B. Tk.72.00
C. Tk.720.00
D. Tk.874.00
E. Tk.8740

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Answer: Option C

Explanation:

Sell Price per dozen = .25 X 12 = 3

cost per dozen = 2.5

thus, Profit = (3X1440) - (2.50X1440) = Tk 720

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531 . If m and n are positive integers, which of the following must be an even integer?

A. n(m - 1)
B. (n - 1)m
C. (m - 1)(n - 2)
D. n(n - 1)(m - 1)

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Answer: Option D

Explanation:

Let's say m= 3 and n= 4 then n(n-1)(m-1)= 24

If m=3 and n=5 then n(n-1)(m-1)=40

So option 4 Will be even integer in every case.

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532 . Rahim, Karim and James paid a total of Tk. 45 for their dinner at a restaurant. If Rahim paid of the total amount, Karim paid Tk.17 and James paid the rest then what fraction of the total amount did james pay?

A. 2
B. 14
C. 1
D. 7
E. None of these

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Answer: Option A

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533 . The charge of a room at Sheraton is 25% less than that of a room at Westin and 10% less than that of a room at Sonargoan. By what percent is the charge of a room at Westin is greater than that of Sonargaon?

A. 15%
B. 17%
C. 19%
D. 20%
E. None of these

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Answer: Option D

Explanation:

Let the charges at Sherato, Westin and Sonargaon be A, B & C respectively.

Now, A = B - 25% of B = B - 0.25B = 0.75B = 3B/4

or, B = 4A/3

Again, A = C - 10% of C = C - 0.1C = 0.9C = 9C/10

or, C = 10A/9

Now, B - C = 4A/3 - 10A/9 = (12A - 10A) / 9 = 2A/9

Charge at westin is greater than charge at Sonargaon by (2A/9) / (10A/9) × 100% = 20%

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534 . Two-fifths of the caps in box are red, one-fourth is blue and the rest are green. What is the ratio of the green caps to the blue caps?

A. 5 : 8
B. 5 : 7
C. 7 : 8
D. 8 : 7
E. 7 : 5

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Answer: Option E

Explanation:

2/5 th rwd, 1/4 th blue

Rest = ( 1 - 2/5 - 1/4) = 7/20th green

Green : Blue = 7/20 : 1/4 = 7 : 5

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535 . Which one of the following is greater than 2/3?

A. 33/50
B. 8/11
C. 3/5
D. 13/27
E. None of these

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Answer: Option B

Explanation:

2/3 = .67

33/50 = .66

8/11 = .73

3/5 = .6

13/27 = .48

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536 . ½ × ¾ × 8/4 ÷ 8/2 × ½ =

A. 3/32
B. 3/8
C. 2/3
D. 1
E. 3/2

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Answer: Option A

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537 . যদি কাঁচ পানি অপেক্ষা ৩.৫ গুণ বেশি ভারী হয়, তবে ৫০ ঘন সেন্টিমিটার কাঁচের ওজন কত?

A. ১০০ গ্রাম
B. ১৭৫ গ্রাম
C. ৫০০ গ্রাম
D. ১০০০ গ্রাম

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Answer: Option B

Explanation:

১ ঘন সেন্টিমিটার পানির ওজন ১ গ্রাম

৫০ " " " " " ৫০×১"

∴৫০ঘন সেন্টিমিটার কাচের ওজন (৫০×৩.৫) = ১৭৫.০০ গ্রাম

কাঁচ পানি অপেক্ষা ৩.৫ গুণ বেশি ভারি

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জনশক্তি- কর্মসংস্থান ও প্রশিক্ষণ ব্যুরো || অফিস সহকারী কাম কম্পিউটার অপারেটর (30-09-2023)

538 . $০ . ০ ০ ০ ০ ০ ১ \times ০ . ৯ ০ ০ ১ = ?$

A. ০.০০০০৯০১
B. ০.০০৯০১
C. ০.০০০০০৯০০১
D. ০.০০০০০০৯০০১

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Answer: Option D

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কর্মসংস্থান ব্যাংক || সহকারী অফিসার (সাধারণ/ক্যাশ) (11-08-2023) || 2023

539 . $৩ \times ০ \times ০ . ৩ = ?$

A. $০ . ৯$
B. $০ . ৩$
C. $০$
D. $৩ . ০$

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Answer: Option C

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Islami Bank Bangladesh Ltd | Field Officer | 10-06-2022

A. 1/x
B. ∞
C. x(In x-1)
D. x(In x+1)

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Answer: Option C

Explanation:

দেয়া আছে,

\int I n x d x = \int I n x \times 1 d x = I n x \int 1 \times d x - \int (\frac{d}{d x} I n x \int 1 \times d x) \times d x = I n \times x - \int \frac{1}{x} \times x d x = x I n - \int 1 \times d x = x I n x - x + c = x (I n x - 1) + c

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পররাষ্ট্র মন্ত্রণালয় | ব্যক্তিগত কর্মকর্তা | 24-02-2022

526 . A club has 8 male & 8 female members. The club is choosing a committee of 6 members. The committee must have 3 male & 3 female members. How many different committees can be chosen?

527 . A dealer sells a Radio at a gain of 10%. If he had bought it at 10% less and sold it for Tk.132 less. He would have still gained 10%. The CP of the Radio is--

528 . A line segment is drawn from point (8, -2) to point (4,6). The coordinates of the mid point of this line segment are--

529 . A rectangular carpet, that is 9 feet by 12 feet, covers 60% of a rectangular floor. What is the area of the floor?

530 . Ali buys 1440 dozen pens @ Taka 2.50 a dozen and sells them @ Taka 0.24 a piece. Find his total profit?

531 . If m and n are positive integers, which of the following must be an even integer?

532 . Rahim, Karim and James paid a total of Tk. 45 for their dinner at a restaurant. If Rahim paid of the total amount, Karim paid Tk.17 and James paid the rest then what fraction of the total amount did james pay?

533 . The charge of a room at Sheraton is 25% less than that of a room at Westin and 10% less than that of a room at Sonargoan. By what percent is the charge of a room at Westin is greater than that of Sonargaon?

534 . Two-fifths of the caps in box are red, one-fourth is blue and the rest are green. What is the ratio of the green caps to the blue caps?

535 . Which one of the following is greater than 2/3?

536 . ½ × ¾ × 8/4 ÷ 8/2 × ½ =

537 . যদি কাঁচ পানি অপেক্ষা ৩.৫ গুণ বেশি ভারী হয়, তবে ৫০ ঘন সেন্টিমিটার কাঁচের ওজন কত?

540 . ∫Indx=?

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