6976 . If w, x, y and z are integers such that 1 ≤x≤y≤z and wxyz = 924, then how many possible values exist for z ?

A. 4
B. 5
C. 6
D. 7

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Answer: Option C

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শিল্প মন্ত্রণালয়ের অধীন বিসিআইসি | সহকারী ব্যবস্থাপক (প্রশাসন) | ০৮.১২.২০১৮

A. 3
B. 6
C. 9
D. 18

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Answer: Option B

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২৮ তম বিসিএস প্রিলিমিনারি টেস্ট (28-11-2008)

A. 100
B. 68
C. 128
D. 38

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Answer: Option D

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উত্তরা ব্যাংক | অ্যাসিস্ট্যান্ট অফিসার | 23-07-2022

6979 . If the summation of roots of two integers is $\sqrt{(11 + 8 \sqrt{2})}$ . what is the summation of the squares of these two integers?

A. 49
B. 55
C. 57
D. 63
E. 78

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Answer: Option C

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জাতীয় নিরাপত্তা গোয়েন্দা সংস্থা (NSI) - সহকারী পরিচালক (23-05-2025)

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

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Answer: Option C

Explanation:

ধরি, একটি সংখ্যা x এবং অপরটি y প্রশ্নমতে, {(x + y)}^{2} = 4xy \Rightarrow x^{2} + 2 x y + y^{2} - 4 x y = 0 \Rightarrow {(x - y)}^{2} = 0 \Rightarrow x - y = 0 \Rightarrow x = y \Rightarrow \frac{x}{y} = \frac{1}{1} ∴ x : y = 1 : 1

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বাংলাদেশ রপ্তানি প্রক্রিয়াকরণ কর্তৃপক্ষ (সহকারী ম্যানেজার) 02-04-2021

A. 1.18
B. 1.27
C. 1.38
D. 2.63

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Answer: Option D

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

6982 . If the ratio of the area of a sector to the area of the circle is 3 : 5, what is the ratio of the length of the are in the sector to the circumference of the circle?

A. $\frac{3}{5}$
B. $\frac{2}{7}$
C. $\frac{1}{3}$
D. $\frac{1}{2}$

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Answer: Option A

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জীবণ বীমা কর্পোরেশন (সহকারী ম্যানেজার) 16-10-2020

A. 19
B. 21
C. 22
D. 23

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Answer: Option A

Explanation:

We have, 2105 - 2105 \times \frac{x}{100} = 1705 2105 \times \frac{x}{100} = 400 x = \frac{400 \times 100}{2105} = 19.0024 %

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

A. 6 feet
B. 8 feet
C. 10 feet
D. 12 feet
E. None

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Answer: Option C

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পায়রা বন্দর কর্তৃপক্ষ (বিভিন্ন পদ) 06-11-2020

A. 63°
B. 75°
C. 217°
D. 117°

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Answer: Option D

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বাখরাবাদ গ্যাস ডিস্ট্রিবিউশন কোম্পানী লিমিটেড (BGDCL) || সহকারী প্রকৌশলী (মেকানিক্যাল- সিভিল -কম্পিউটার ও ইলেকট্রিক্যাল) (15-03-2024) || 2024

6986 . If the land of the isosceles triangle is 16m and the other two sides are 10m each, what is the area of the triangle?

A. $36 m^{2}$
B. $42 m^{2}$
C. $48 m^{2}$
D. $50 m^{2}$

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Answer: Option C

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বাংলাদেশ রপ্তানি প্রক্রিয়াকরণ কর্তৃপক্ষ (সহকারী ম্যানেজার) 02-04-2021

A. 3%
B. 7%
C. 10%
D. 36%

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Answer: Option B

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বাংলাদেশ অর্থনৈতিক অঞ্চল কর্তৃপক্ষ (সহকারী ব্যবস্থাপক) 25-09-2020

A. 12
B. 16
C. 20
D. 25
E. 50

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Answer: Option B

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জাতীয় নিরাপত্তা গোয়েন্দা সংস্থা (NSI) - সহকারী পরিচালক (23-05-2025)

A. 7 cm
B. 9 cm
C. 10 cm
D. 14 cm

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Answer: Option D

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পল্লী কর্ম সহায়ক ফাউন্ডেশন সহকারী ব্যবস্থাপক ০২. ০৮.২০১৯

A. 52 cm

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Answer: Option A

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Microcredit Regulatory Authority (সহকারী পরিচালক) 05-03-2021

6976 . If w, x, y and z are integers such that 1 ≤x≤y≤z and wxyz = 924, then how many possible values exist for z ?

6977 . If two typist can type two pages in two minutes, how many typists will it take to type 18 pages in six minutes.

6978 . If two angles are said to be complementary angles and one angle is 52 degrees, then the other angle is:

6980 . If the square of the sum of two numbers is equal to 4 times of their product. Then the ratio of these numbers is:

6981 . If the second term in an arithmetic sequence is 4, and the tenth term is 15, what is the first term in the sequence?

6983 . If the population of a village went from 2105 to 1705, then the percent decrease in population is closest to ---

6984 . If the perimeter of a rectangular room is 32 feet and its area is 60 square feet, what is the length of each of its longer sides?

6985 . If the lines AB and CD meet at O point and ∠ BOD = 63° then ∠ BOC =

6987 . If the height of a right square pyramid is increased by 12%, by what percent must the side of the base be increased, so that the volume of the pyramid is increased by 28%?

6988 . If the distribution of movie durations is symmetric around the mean of 1.5 hours following a bell curve and if the standard deviation is 20 minutes, approximately what percentage of all movies are longer than 110 minutes?

6989 . If the difference between the circumference and diameter of a circle is 60 cm, then the radious of the circle is .

6990 . If the diagonals of a rhombus are 24cm and 10cm, what is its perimeter?

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