6406 . A number x is divided by 7. When this number is divided by 8, 12 and 16 . It leaves a remainder 3 in each case . The least value of x is?

A. 150
B. 148
C. 151
D. 174

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Answer: Option D

Explanation:

সিকিউরিটি প্রিন্টিং কর্পোরেশন বাংলাদেশ | সহকারী ব্যবস্থাপক- 26-11-2021

A. 4 and 9
B. 3 and 5
C. 5 and 7
D. 2 and 5

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Answer: Option A

Explanation:

সিকিউরিটি প্রিন্টিং কর্পোরেশন বাংলাদেশ | সহকারী ব্যবস্থাপক- 26-11-2021

A. 60 kmph
B. 55 kmph
C. 63 kmph
D. 57 kmph

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Answer: Option C

Explanation:

To calculate the speed of the train, we can use the information that the man can count 21 telephone posts in one minute and that the posts are known to be 50 meters apart. This means that in one minute, the train travels a distance equal to the spacing between 21 telephone posts.

Distance traveled in one minute = 21 posts * 50 meters/post = 1050 meters

Since there are 60 seconds in a minute, we need to convert the distance to meters per second:

Speed (in meters per second) = Distance (in meters) / Time (in seconds) Speed = 1050 meters / 60 seconds = 17.5 meters/second

To express the speed in kilometers per hour (km/h), we can multiply by 3.6 (since 1 meter per second is equal to 3.6 kilometers per hour):

Speed = 17.5 meters/second * 3.6 km/h = 63 km/h

So, the speed of the train is 63 kilometers per hour.

সিকিউরিটি প্রিন্টিং কর্পোরেশন বাংলাদেশ | সহকারী ব্যবস্থাপক- 26-11-2021

A. 0.38160 rad or 18.13 °
B. 0.2816 rad ot 16.13 °
C. 0.2844 rad or 16.13 °
D. 0.2916 rad or 17.130 °

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Answer: Option B

Explanation:

সিকিউরিটি প্রিন্টিং কর্পোরেশন বাংলাদেশ | সহকারী ব্যবস্থাপক- 26-11-2021

A. 253
B. 252
C. 145
D. 370

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Answer: Option A

Explanation:

253 + 99 = 352, The number of are reversed.

সিকিউরিটি প্রিন্টিং কর্পোরেশন বাংলাদেশ | সহকারী ব্যবস্থাপক- 26-11-2021

A. 34
B. 36
C. 38
D. 39

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Answer: Option A

Explanation:

Let, c = x ∴b = x + 10 and a = x + 12 Now,a + b + c = 130 = > x + 12 + x + 10 + x = 130 = > 3x = 130 - 22 = 108 ∴x = (108/3) = 36 i.e, c = 36 ∴ b = 46 and a = 48 ∴(b + c) - a = (46 + 36) - 48 = 34 Ans.

সিকিউরিটি প্রিন্টিং কর্পোরেশন বাংলাদেশ | সহকারী ব্যবস্থাপক- 26-11-2021

A. 27 square unit
B. 29 square unit
C. 31 square unit
D. 20 square unit

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Answer: Option B

Explanation:

The shoelace formula for finding the area of a triangle given its vertices (x1, y1), (x2, y2), and (x3, y3) is:

Area = 1/2 * |x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)|

In this case, the three points are: A(5, 2) B(-9, -3) C(-3, -5)

Plug these coordinates into the formula:

Area = 1/2 * |5(-3 - (-5)) + (-9)(-5 - 2) + (-3)(2 - (-3))|

Simplify the expression inside the absolute value:

Area = 1/2 * |5(2) + (-9)(-7) + (-3)(5)|

Area = 1/2 * |10 + 63 - 15|

Area = 1/2 * |58|

Area = 29 square units

So, the area of the triangle formed by the points (5, 2), (-9, -3), and (-3, -5) is 29 square units.

সিকিউরিটি প্রিন্টিং কর্পোরেশন বাংলাদেশ | সহকারী ব্যবস্থাপক- 26-11-2021

A. 5km./hour
B. 6 km/hour
C. 7 km/hour
D. 8km/hour

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Answer: Option C

Explanation:

গ্যাস ট্রান্সমিশন কোম্পানি লিমিটেড | সহকারী ব্যবস্থাপক - 26.11.2021

A. 39
B. 35
C. 42
D. 40

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Answer: Option A

Explanation:

Let the batter's career average before her 17th inning be "x" runs per inning.

After her 17th inning, her career average increased by 3 runs, so her new average is (x + 3) runs per inning.

In the first 16 innings, she scored a total of 16x runs.

After her 17th inning, her total runs scored became 16x + 87 runs.

Now, we can set up an equation:

(16x + 87) / 17 = (x + 3)

Now, solve for x:

16x + 87 = 17x + 51

87 - 51 = 17x - 16x

36 = x

So, her career average before the 17th inning was 36 runs per inning, and her new average after the 17th inning is (36 + 3) = 39 runs per inning.

গ্যাস ট্রান্সমিশন কোম্পানি লিমিটেড | সহকারী ব্যবস্থাপক - 26.11.2021

A. 20
B. 9
C. 12
D. 16

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Answer: Option C

Explanation:

4x^2 - px + 9

= (2x)^2 + (3)2 - 2.2x.3 - px + 2.2x.3

= ( 2x - 3)^2 + 12x - px

রাশিটিপূর্ন বর্গ হবে যদি , 12x - px = 0

p = 12

গ্যাস ট্রান্সমিশন কোম্পানি লিমিটেড | সহকারী ব্যবস্থাপক - 26.11.2021

A. 4%
B. 6%
C. 8%
D. 10%

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Answer: Option D

Explanation:

আমরা জানি, I = Pnr

বা,7/5P-P = P x 4 xr

বা,5/2P=Px4xr

বা, r = 10%

গ্যাস ট্রান্সমিশন কোম্পানি লিমিটেড | সহকারী ব্যবস্থাপক - 26.11.2021

A. 10%
B. 20%
C. 25%
D. 30%

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Answer: Option B

Explanation:

4 minutes=1 km,. 1H=15km ,. 15/75*100=20%

গ্যাস ট্রান্সমিশন কোম্পানি লিমিটেড | সহকারী ব্যবস্থাপক - 26.11.2021

A. 15 days
B. 14 days
C. 12 days
D. None of these

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Answer: Option D

Explanation:

A=1/30 ; B=1/15=2/30; C=1/10=3/30;

B and C help only on every 2nd and 3rd days. So that in a week alone work on 1st, 4th, 5th, 6th, and 7th day.

So that days need to finish the work is = 1 + (1+2+3) + 1 + (1+2+3) + 1 + 1 + 1 + 1 + (1+2+3) + 1 + (1+2+3) = 11 days ad 100 percent of work.

Here, (1+2+3) is that work when they work together

গ্যাস ট্রান্সমিশন কোম্পানি লিমিটেড | সহকারী ব্যবস্থাপক - 26.11.2021

A. 9 meter
B. 17 meter
C. 18 meter
D. 22 meter

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Answer: Option A

Explanation:

Let L be the original length of the rectangle and W be the original width. The area of the rectangle is given by:

Area = L * W

According to the information given, if the length decreases by 5 meters and the width increases by 3 meters, the new length is (L - 5) meters, and the new width is (W + 3) meters. The new area is:

New Area = (L - 5) * (W + 3)

It's mentioned that the area decreases by 67 square meters, so we can set up the equation:

Area - New Area = 67

L * W - (L - 5) * (W + 3) = 67

Now, let's solve this equation for W:

L * W - (L - 5) * (W + 3) = 67

LW - (LW + 3L - 5W - 15) = 67

Now, simplify the equation:

LW - LW - 3L + 5W + 15 = 67

-3L + 5W + 15 = 67

Subtract 15 from both sides:

-3L + 5W = 67 - 15

-3L + 5W = 52

Now, add 3L to both sides:

5W = 52 + 3L

Divide both sides by 5:

W = (52 + 3L) / 5

We're looking for an integer value for W, and from the options, we can see that if L = 9, then W = (52 + 3*9) / 5 = (52 + 27) / 5 = 79 / 5 = 15.8 meters. Since the width should be an integer, we need to try another value for L.

Let's try L = 17:

W = (52 + 3*17) / 5 = (52 + 51) / 5 = 103 / 5 = 20.6 meters

Again, the width is not an integer. Let's try L = 18:

W = (52 + 3*18) / 5 = (52 + 54) / 5 = 106 / 5 = 21.2 meters

Still not an integer. Let's try L = 22:

W = (52 + 3*22) / 5 = (52 + 66) / 5 = 118 / 5 = 23.6 meters

No integer width here either.

So, the only value for L that results in an integer width is L = 9 meters, which corresponds to W = (52 + 3*9) / 5 = 9 meters.

Therefore, the width of ABCD is 9 meters.

গ্যাস ট্রান্সমিশন কোম্পানি লিমিটেড | সহকারী ব্যবস্থাপক - 26.11.2021

A. 55 °
B. 65 °
C. 75 °
D. 85 °

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Answer: Option C

Explanation:

ত্রিভুজের তিন কোণের সমষ্টি 180 ডিগ্রি

দুটি কোণের মান 45 ও 60 ডিগ্রি হলে অপর কোণ 180-45-60=75 ডিগ্রি

6406 . A number x is divided by 7. When this number is divided by 8, 12 and 16 . It leaves a remainder 3 in each case . The least value of x is?

6407 . Find two numbers such that their mean proportional is 6 and third proprtaional

6408 . A man in a train notice that he can count 21 telephone posts in one minute.. If they are known to be 50 meters apart, then at what speed is the train travelling?

6409 . A train is moving at the3 rate 8 mi/h along a piece of circular track of radius 2500 ft. Through what angle does it turn in 1 min?

6410 . A number consists of 3 digits hose sum is 10 . The middle digit is e3qual to the3 sum of the other two and the number will be increased by 99 if its digits are recersed. The number is-

6411 . a is greater than b ny 2 and b is greater than c by 10, If (a+b+c) =130, then b+c-a=?

6412 . Find th area of the triangle formed by the points located at ( 5, 2) , (-9, -3) and (-3, -5).

6413 . A boat has a crack in its bull which is leaking water into the boat and could pump which can pump the water out in 8 hours . If the boat is 168 km away from the shore and the pump is running what is the minimum speed the boat should run at so that it can reach the shore before sinking?

6414 . A better scored 87 runs in her 17 th innings , which increased her carrer average by 3 rund. What is the average run after the3 17 th innings?

6415 . For which value of P will the square root of 4 x 2 − p x + 9 b e a n i n t e g e r

6416 . A certain amount of money earning simple interest becomes 7/5th of the initial amount in 4 years . What is the interest rate?

6417 . Jamil can run 1 km in 4 minute. Heas a car that has a top speed of 75 km/hour . Jamil's speed id what percentage of his top speed?

6418 . A, B and C working individually can complete a task in 30 days, 15 days and 10 days respectively. If A starts workign alone and B and C hepls A on every 2 nd and 3 rd day respectively , how long will it task to be completed?

6419 . ABCD is a rectangle . If its lengthis decreased by 5 meter and the width is increased by 3 mete3r, the area de3creases by 2 meter, the area inceases by 67 square meter, What is the width width of ABCD?

6420 . একটি ত্রিভুজের দু’টি কোণের মান 45 °ও 60 ° হলে ত্রিভুজটির অপর কোনের মান কত?

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