1456 . Find the largest number of apples not exceeding 1000 which can be divided among 6, 15, 20 or 24 boys?

A. 990
B. 960
C. 930
D. 900

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Answer: Option B

Explanation:

The number that would be divisible by the L.C.M of 6, 20, 24 is the correct answer option
Now, the L.C.M of 6, 20,, 24 is found.
2 6, 20, 24
3 3, 10, 12
2 1, 10, 4
1, 5, 2
So L.C.M =
2×3×2×5×2=120

Now, only 960 is divisible by 120, so 960 is the correct answer.

1457 . Find the largest number of apples not exceeding 1000 which can be divided among 6,15,20, or 24 boys?

A. 960
B. 930
C. 900
D. 870

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Answer: Option A

Explanation:

6, 15, 20, 24 এর ল. সা . গু = 120
সুতরাং 1000 আপেলের মধ্যে সর্বোচ্চ সংখ্যাক আপেল যা 120 জনের মধ্যে সমানভাবে ভাগ করে দেয়া যাবে সে সংখ্যাটি হবে 120 এর গুণিতক।
এখানে, 120×8=960120×8=960
সুতরাং 1000 এর মধ্যে সর্বোচ্চ 960 টি আপেল সবার মধ্যে সমানভাবে ভাগ করে দেয়া যাবে।

1458 . Find the least five-digit number which can be divided by 8, 12, 16 and 20 leaving remainders 1. 5, 9 and 13, respectively.

A. 10003
B. 10093
C. 10073
D. 10013

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Answer: Option C

Explanation:

To find the least five-digit number that satisfies these conditions, you need to find the least common multiple (LCM) of 8, 12, 16, and 20, and then add 1, 5, 9, and 13 to it. Here's the step-by-step process:

Find the LCM of 8, 12, 16, and 20:

LCM(8, 12, 16, 20) = 240

Add the remainders 1, 5, 9, and 13 to the LCM:

240 + 1 = 241 240 + 5 = 245 240 + 9 = 249 240 + 13 = 253

Now, find the least five-digit number among these values:

The least five-digit number is 10,000.

Check which of the values (241, 245, 249, 253) is the smallest one that is greater than or equal to 10,000:

The smallest value that satisfies this condition is 10,073.

So, the least five-digit number that can be divided by 8, 12, 16, and 20, leaving the remainders 1, 5, 9, and 13, respectively, is 10,073.

সমন্বিত ৭ ব্যাংক || সিনিয়র অফিসার-05-11-2021 ||

A. 540
B. 430
C. 320
D. 300

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Answer: Option A

Explanation:

540 is the smallest number that is divisible by 12, 15, 20, 27 exactly.

1460 . Find the least number of five digits which when divided by 40, 60, and 75 , leave remainders 31 ,51 and 66 respectively .

A. 10196
B. 10199
C. 10197
D. 10191

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Answer: Option D

Explanation:

Difference, 40 - 31 = 9
60 - 51 = 9
75 - 66 = 9
Difference between numbers and remainder is same in each case.
Then,
The answer = {(LCM of 40, 60, 75) - 9}
40 = 2 × 2 × 2 × 5
60 = 2 × 2 × 3 × 5
75 = 3 × 5 × 5
LCM = 2 × 2 × 2 × 5 × 5 × 3 = 600
But, the least number of 5 digits = 10000
10000/600, we get remainder as 400
Then, the answer = 1000 - (600 - 400) - 9 = 10191

সমন্বিত ৬ (ব্যাংক) ও ২ টি আর্থিক প্রতিষ্ঠান - সিনিয়র অফিসার ১০.০৬.২০১৯

A. S
B. P
C. Q
D. R

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Answer: Option D

Explanation:

চার অক্ষর পরপর =M = N, O, P, Q, R

Ans : R.

Bangladesh Bank - Assistant Director - 2010

A. 720
B. 1440
C. 2160
D. None of the above

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Answer: Option C

Explanation:

The series 3, 6, 18, 72, 360, - follows the following pattern: -

3 x 2 = 6

6 x 3 = 18

18 x 4 = 72

72 x 5 = 360

360 x 6 = 2160

So, the missing number is 2160.

1463 . Find the missing number of the series 1/16, 1/4, -- , 4

A. 16
B. 4
C. 1/2
D. 1

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Answer: Option D

Explanation:

ধারাটি জ্যামিতিক হারে বৃদ্ধি পাচ্ছে এবং এর সাধারণ অনুপাত 4

ধারাটি হবে 1/16×4 = 1/4

1/4×4 = 1

1×4 = 4

Correct answer: 1

1464 . Find the missing numeral: (?-2763)/86*13=208

A. 3031
B. 4037
C. 4421
D. 4139

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Answer: Option D

Explanation:

ধরি, শূণ্য স্থানের সংখ্যাটি x

( x - 2763) ÷ 86 × 13 = 208

( x - 2763) = 208/13 × 86

x - 2763 = 1376

x = 1376 + 2763

x = 4139

1465 . Find the next number in the following pattern: 320, 160, 80, 40,.......

A. 35
B. 30
C. 10
D. 20

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Answer: Option D

Explanation:

The pattern in the given sequence is that each number is divided by 2. Starting with 320 and dividing by 2 successively, we get:

320 ÷ 2 = 160 160 ÷ 2 = 80 80 ÷ 2 = 40

So, if we continue the pattern:

40 ÷ 2 = 20

Therefore, the next number in the sequence is 20.

সহকারী পরিচালক(AD) -12.11.2021

A. 7
B. 9
C. 12
D. 15

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Answer: Option D

Explanation:

Here, 3/ - /4/ - /5/ - /6

/ - /6/ - /9/ - /12/ - /15

Bangladesh Bank - Assistant Director - 2006

A. 20
B. 22
C. 26
D. 28

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Answer: Option D

Explanation:

ধারাটির বিজোড় স্থানের পদগুলি হচ্ছে ৭, ১৪, ২১

এখানে সাধারণ অন্তর ৭

ধারাটির পরবর্তী পদ = ২১+৭ =২৮

1468 . Find the next number of the series 7, 10, 14, 16, 21, 22, ---

A. 20
B. 22
C. 26
D. 28

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Answer: Option D

Explanation:

ধারাটির বিজোড় স্থানের পদগুলি হচ্ছে ৭, ১৪, ২১

এখানে সাধারণ অন্তর ৭

ধারাটির পরবর্তী পদ = ২১+৭ =২৮

1469 . Find the nixt number in the series : 3, 6, 4, 9,5,12,6.......

A. 15
B. 13
C. 27
D. 33

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Answer: Option A

Explanation:

3, 6, 4, 9, 5, 12, 6, …….
এখানে ধারাটির বিজোড় অবস্থানের পদগুলো হলো : 3, 4, 5, 6, …..
" " জোড় " " : 6, 9, 12, …….
যেহেতু পরবর্তী পদটির অবস্থান জোড় অবস্থানে সুতরাং পরবর্তী পদ = 12 + 3 = 15।

1470 . Find the number of zeroes in 10 x 20 x 30x……x 1000.

A. 100
B. 124
C. 130
D. 154

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Answer: Option B

Explanation:

10 x 20 x 30 x …… x 1000

= (10 x 1) x (10 x2) x (10 x 3) x ………………… x (10 x 1000)

= 10100 x (1 x 2 x 3 x …………… x 100)

= 10100 x 100!

Number of zeroes = 100 + 100/5 + 100/52

= 100 + 20 + 4

= 124

সমন্বিত ৮ ব্যাংক ও ১ টি আর্থিক প্রতিষ্ঠান || সিনিয়র অফিসার (সাধারণ) (20-01-2023)

1456 . Find the largest number of apples not exceeding 1000 which can be divided among 6, 15, 20 or 24 boys?

1457 . Find the largest number of apples not exceeding 1000 which can be divided among 6,15,20, or 24 boys?

1458 . Find the least five-digit number which can be divided by 8, 12, 16 and 20 leaving remainders 1. 5, 9 and 13, respectively.

1459 . Find the least number exactly divisible by 12, 15, 20 and 27.

1460 . Find the least number of five digits which when divided by 40, 60, and 75 , leave remainders 31 ,51 and 66 respectively .

1461 . Find the missing letter marked (?) in the series C, H, M, ?, W, B.

1462 . Find the missing number in the series 3, 6, 18, 72, 360, --

1463 . Find the missing number of the series 1/16, 1/4, -- , 4

1464 . Find the missing numeral: (?-2763)/86*13=208

1465 . Find the next number in the following pattern: 320, 160, 80, 40,.......

1466 . Find the next number in the series: 3, 6, 4, 9, 5, 12, 6, ...

1467 . Find the next number of the series 7, 10, 14, 16, 21, 22, -

1468 . Find the next number of the series 7, 10, 14, 16, 21, 22, ---

1469 . Find the nixt number in the series : 3, 6, 4, 9,5,12,6.......

1470 . Find the number of zeroes in 10 x 20 x 30x……x 1000.

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