316 . In the figure, DE is parallel to BC. If the area of a triangle ADE is that of trapezoid DECB, what is the ratio of AE to AC?

A. 1:2
B. 1 √ 2
C. 1:3
D. 1 √ 3

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Answer: Option D

Explanation:

317 . In the figure , AB and AC are radii of two circles. Length of BC is 6. If AB = 4, what is AC? AC is tangent to the circle with centre B.

A. 2 √ 5
B. 5.5
C. 3 √ 5
D. 3 √ 2

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Answer: Option A

Explanation:

Bangladesh Bank - Assistant Director - 2011

A. 11
B. 13
C. 15
D. 16

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Answer: Option D

Explanation:

Assit. Programmer | Sonali Bank- Rubali Bank- BD Krishi Bank - 16.11.2018

A. 3
B. 7
C. 10
D. 15
E. 19

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Answer: Option E

Explanation:

After 19 days the pool will be covered half by the lily. By being doubled in size in a day, the water - lily will completely cover the pool after 20 days.

Bangladesh Bank - Assistant Director - 2011

A. 225
B. 260
C. 298
D. 400

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Answer: Option A

Explanation:

321 . In the two consecutive numbers one-fourth of the smaller one exceeds one - fifth of the larger one by 3 . The numbers are :

A. 36, 37
B. 13, 12
C. 64, 65
D. 24, 25
E. 75, 76

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Answer: Option C

Explanation:

Let, Two number x, x + 1

x/4 = x + 1/5 + 3

5x = 4x + 4 + 60

x = 64

x + 1 = 64 + 1 = 65

Bangladesh Bank - Assistant Director - 2011

A. 1 : 4
B. 1 : 5
C. 1 : 6
D. 2 : 5

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Answer: Option B

Explanation:

সমন্বিত ৫ ব্যাংক | অফিসার ক্যাশ | 25-03-2022 ||

A. 3 : 7
B. 5 : 7
C. 7 : 3
D. 7 : 5

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Answer: Option C

Explanation:

Let the amount of pulse of price Tk. 15 = x
and the amount of pulse of price Tk. 20 = y
Then the total amount of mixture = ( x + y) kg
total cost of mixture = 15x + 20y
but the price per kg of the mixture = Tk. 16.50
so, total price of (x + y) kg = 16.50(x + y)
According to question;
16.50(x + y) = 15x + 20 y
or, 16.50x + 16.50y = 15x + 20y
or, 1.50x = 3.50y
or, x/y = 3.50/1.50 = 0.7/0.3 = 7/3
so, the required ratio is 7 : 3.

অফিসার (ক্যাশ ) - Sonali | Rupali | BD Krishi | Rajshahi Krishi Unnayn | Investment Corporation Of Bangladesh - ২৯. ০৩.২০১৯

A. 6 & 3
B. 5 &10
C. 8 & 4
D. 6 & 8
E. None of them

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Answer: Option C

Explanation:

A/Q,
x + y = 12
or, 2x + 2y = 24 ....................... (1)
2x + 4y = 32 ............................ (2)
(2) - (1) we get,
2y = 8
or, y = 4 ......(3)
Now, from (1) and (3), we get,
x + 4 = 12
or, x = 12 - 4
or, x = 8

Bangladesh Bank - Assistant Director - 2012

A. 371
B. 406
C. 451
D. 505
E. 543

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Answer: Option E

Explanation:

Here, next number = previous no × 2) + 1

So, sequencially (16×2) + 1 = 33

33×2 + 1 = 67

by this manner, the next number = (271×2) + 1 = 543

Bangladesh Bank - Assistant Director - 2013 ||

A. Tk. 600
B. Tk. 3,000
C. Tk. 6000
D. Tk. 1600

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Answer: Option D

Explanation:

the perimeter of plot = 2(30+10) = 2*40 = 80 meter

So, the total cost will be = 80*20 = Tk. 1600 (Ans)

সমন্বিত ৫ ব্যাংক | অফিসার ক্যাশ | 25-03-2022 ||

A. 11 ; 30 A.M
B. 10 : 45 A.M
C. 10 : 30 A.M
D. 1 : 00 A.M

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Answer: Option C

Explanation:

LCM of 15 & 18 are 90

Here 90 minutes = 1 hour 30 minutes

So, inspecting machine at the same time will be = 9:00 AM + 1 hour 30 minutes

= 10:30 AM (Ans)

328 . It takse Russel 20 munites to inspect a car and Sohel needs 18 minutes to inspect a car. They both start inspecting cars separately at 8.00 am. At certain points of time both of them will finish inspecting a car at the same time. When will this occur for the first time?

A. 10.00 am
B. 11.00 am
C. 9.30 am
D. 9.42 am
E. None of them

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Answer: Option B

Explanation:

Least common multiple of 20 & 18 is 180. So, they will finish inspecting a car at the same time after 180 min = 180/60 hr = 3 hr.

Now, 8 am + 3hr = 11 am

329 . Kamal weighs twice as much as Momen. Momen's weight is 70% of Babu's weight. Dipu weighs 50% of Lipu's weight. Lipu weighs 180% of Kamal's weight.Who weighs the least?

A. Babu
B. Dipu
C. Kamal
D. Lipu
E. Momen

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Answer: Option E

Explanation:

Let momen weights = 100 kg

Kamal weights = 200 kg

Babu weights = 142.85 kg

Dipu weights = 180 kg

Lipu weights = 360 kg

Momen weights least

Ans 5

330 . Karim completed 1/3 portion of a work in 8 days and left the job. Then Rahim was recruited and he worked for 5 days and left the job. Karim again joined and completed the rest of the work in 12 days. How many days would Rahim require to complete the whole work alone?

A. 25 days
B. 5/6 days
C. 15 days
D. 30 days
E. None

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Answer: Option D

Explanation:

The Sunshine Policy is the theoretical basis for South Korea's foreign policy towards North Korea.

316 . In the figure, DE is parallel to BC. If the area of a triangle ADE is that of trapezoid DECB, what is the ratio of AE to AC?

317 . In the figure , AB and AC are radii of two circles. Length of BC is 6. If AB = 4, what is AC? AC is tangent to the circle with centre B.

318 . In the given AP series find the number of terms 5, 8, 11, 14, 17, 20 , ..... 50.

319 . In the middle of around pool lies a water-lily . The water-lily doubles in size every day . After exactly 20 days the complete pool will be covered by the lily. After how days will half of the pool be covered by water-lily ?

320 . In the series which number will be next? 121, 144, 169, 196.....

321 . In the two consecutive numbers one-fourth of the smaller one exceeds one - fifth of the larger one by 3 . The numbers are :

322 . In what ratio, water must be mixed with fruit juice costing Tk. 24 per liter. So that the juice would be worth of Tk. 20 per liter.

323 . In what ratio must a grocer mix two varieties of pulses costing Tk. 15 and TK. 20 per kg respectively so as to get a mixture worth Tk. 16.50 kg?

324 . Ina zoo , each pigeon has 2 legs, and each rabbit has 4 legs. The head count of the two species together is 12 , and the leg count is 32. How many pigeons and how main rabbits are there in the zoo ?

325 . Insert the missing number : 16, 33, 67, 135, 271, (...)

326 . It requires Taka 20 for fencing 1 meter. How much will it cost to fence a plot having length of 30 meters and breadth of 10 meters?

327 . It takes Rumi 15 minutes to inspect a machine and Sami needs 18 minutes to inspect a machine. They both start inspecting machines separetely at 9 : 00 A.M. At certain points of time both of them will finish inspecting a machine at the same time. When will this occure for the first time?

328 . It takse Russel 20 munites to inspect a car and Sohel needs 18 minutes to inspect a car. They both start inspecting cars separately at 8.00 am. At certain points of time both of them will finish inspecting a car at the same time. When will this occur for the first time?

329 . Kamal weighs twice as much as Momen. Momen's weight is 70% of Babu's weight. Dipu weighs 50% of Lipu's weight. Lipu weighs 180% of Kamal's weight.Who weighs the least?

330 . Karim completed 1/3 portion of a work in 8 days and left the job. Then Rahim was recruited and he worked for 5 days and left the job. Karim again joined and completed the rest of the work in 12 days. How many days would Rahim require to complete the whole work alone?

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