3361 . The square root of (7+3√5)(7−3√5) is:

A. 2
B. 4
C. 3√5
D. √5

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Answer: Option A

Explanation:

√(7+3√5)(7−3√5)

=√(7)2−(3√5)2 N.B. formula: a²- b²

=√49−45

=√4

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পূবালী ব্যাংক লিমিটেড || জুনিয়র অফিসার (30-09-2023) || 2023

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3362 . The square root of $(272^{2} - 128^{2})$ is:

A. 144
B. 200
C. 240
D. 256

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Answer: Option C

Explanation:

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পূবালী ব্যাংক লিমিটেড || জুনিয়র অফিসার (30-09-2023) || 2023

A. 253
B. 347
C. 363
D. 803

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Answer: Option A

Explanation:

Hints: 64009 কে রুট করলে হয় 253

সুতরাং সঠিক উত্তর: 253

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3364 . The statement "x>5 or x<3" is true if x equals.

A. 1
B. 3
C. 4
D. 5
E. None of these

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Answer: Option E

Explanation:

x > 5 এটা দ্বারা বোঝায় x এর মান হবে 5 এর থেকে বড়।

x<3 এটা দ্বারা বোঝায় x এর মান হবে 3 এর থেকে ছোট ।

প্রদত্ত অপশনে এমন কোন মান নাই যা ঐ দুটি শর্ত মানে।

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3365 . The student of a school were asked to name their favorite type of pet, Of the 430 student surveyed, 258 said that their favorite type of pet was a dog, Suppose that only 150 students were surveyed, with similar results, about how many students would say that a dog is their type of pet?

A. 58
B. 90
C. 98
D. 146

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Answer: Option B

Explanation:

নির্ণেয় ছাত্র সংখ্যা = (258 × 150)÷430 = 90

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প্রবেশনারি অফিসার | 02-04-2022

A. 20535
B. 25550
C. 30550
D. 28430

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Answer: Option A

Explanation:

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

A. 1104
B. 972
C. 672
D. 294

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Answer: Option B

Explanation:

ধরি, পূর্ণসংখ্যা তিনটির মাঝের সংখ্যা = x
∴বৃহত্তম সংখ্যাটি = 3x
এবং ক্ষুদ্রতম সংখ্যাটি = 3x - 23
প্রশ্নমতে,
(3x - 23) + x + 3x = 40
⇒ 7x - 23 = 40
⇒ 7x = 63
∴ x = 9
∴ সংখ্যা তিনটি 4, 9 এবং 27
এদের গুণফল (Product) = 972 ।

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3368 . The sum of 3 consecutive integers is less than 75. what is the greatest possible value of the smallest one?

A. 16
B. 19
C. 22
D. 23

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Answer: Option D

Explanation:

ধরি,

সংখ্যা তিনটি যথাক্রমে

x - 1, x, x + 1

x - 1 + x + x + 1 <75

3x <75

x<75/3

x<25

যেহেতু x<25 এবং পূর্ণসংখ্যা সেহেতু x = 24

ছোট সংখ্যাটি = ( 24 - 1 ) = 23

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Assistant Director (General) 06.07.18

A. 19
B. 21
C. 23
D. 17

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Answer: Option A

Explanation:

x , x + 2 , x + 4

x + x + 2 + x + 4 = 57

3x = 51

x = 17

The middle number = x + 2 = 17 + 2 = 19.

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Bangladesh Bank - Assistant Director - 2010

A. 57
B. 72
C. 42
D. 50

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Answer: Option B

Explanation:

Let x represent the smallest number. Then the other number are

x + 2, x + 4, x + 6, x + 8 and x + 10. x + 10 is the largest.

The sum of these is 6x + (2 + 4 + 6 + 8 + 10) = 6x + 30

We are told that this is 38 greater than twice the largest, so

6x + 30 = 2(x + 10) + 38 = 2x + 58.

or, 4x = 28

∴x = 7

Then the sum is 6×7 + 30 = 72.

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3371 . The sum of a number and its inverse (or reciprocal) is equal to twice the number. What is the number?

A. 1 or -1
B. -2
C. 1
D. -1

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Answer: Option A

Explanation:

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3372 . The sum of ages of 5 children born at intervals of 3 years each is 50 years. What is the age of the youngest child?

A. None of these
B. 5years
C. 8years
D. 10years
E. None of these

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Answer: Option A

Explanation:

Let,

The age of the youngest child = x year

The age of the 2nd children = ( x + 3) year

The age of the 3rd children = ( x + 3 + 3) year

Tne age of the 4th children = ( x + 6 + 3) year

The age of the 5th children = ( x + 9 + 3) year

According to question,

x + x + 3 + x + 6 + x + 9 + x + 12 = 50

5x + 30 = 50

5x = 50 - 30

5x = 20

x = 4

So, the age of the youngest child is 4 years.

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3373 . The sum of first 17 terms of the series 5, 13, 17, --- is -

A. 529
B. 462
C. 629
D. 523

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Answer: Option C

Explanation:

এখানে, প্রথম পদ a = 5

সাধারন অন্তর d = 9 - 5 = 4

পদসংখ্যা n = 17

17 টি পদের সমষ্টি = 17/2 { 2 × 5 + ( 17 - 1) 4 } = 629.

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অফিসার (সাধারণ) ২৭.১২. ২০১৯

A. 11
B. 18
C. 26
D. 28

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Answer: Option D

Explanation:

প্রথম পাঁচটি মৌলিক সংখ্যার সমষ্টি = 2 + 3 + 5 + 7 + 11 = 28

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3375 . The sum of five consecutive integers is equal to 3 times the largest. What is the largest of the integers?

A. 8
B. 7
C. 6
D. 5

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Answer: Option D

Explanation:

Let the integers from smallest to largest be x - 2, x - 1, x, x + 1 & x + 2 respectively.

Then, x - 2 + x - 1 + x + x + 1 + x + 2 = 3(x + 2)

or, 5x = 3x + 6

or, 5x - 2x = 6

or, 2x = 6

or, x = 3

So, the largest intger is 3 + 2 = 5.

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3361 . The square root of (7+3√5)(7−3√5) is:

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3363 . The square root of 64009 is :

3364 . The statement "x>5 or x<3" is true if x equals.

3365 . The student of a school were asked to name their favorite type of pet, Of the 430 student surveyed, 258 said that their favorite type of pet was a dog, Suppose that only 150 students were surveyed, with similar results, about how many students would say that a dog is their type of pet?

3366 . The sum and difference of the L.C.M and H.C.F. of two numbers are 592 and 518 respectively. If the sum of the numbers be 296, find the product of the numbers.

3367 . The sum o three integers is 40. The largest integer is 3 times the middle integer, and the smallest integer is 23 less than the largest integer. what is the product of the three integers?

3368 . The sum of 3 consecutive integers is less than 75. what is the greatest possible value of the smallest one?

3369 . The sum of 3 consecutive odd numbers is 57. The middle one is

3370 . The sum of 6 consecutive odd numbers exceeds twice the largest by 38. Find the sum of the six numbers?

3371 . The sum of a number and its inverse (or reciprocal) is equal to twice the number. What is the number?

3372 . The sum of ages of 5 children born at intervals of 3 years each is 50 years. What is the age of the youngest child?

3373 . The sum of first 17 terms of the series 5, 13, 17, --- is -

3374 . The sum of first five prime numbers is :

3375 . The sum of five consecutive integers is equal to 3 times the largest. What is the largest of the integers?

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