3361 . The some of daily income of P, Q and R is TK.90. If Q earns TK.10 more than P and R earns double of what Q earns, then what is the average of daily income of P and Q?

A. 15
B. 20
C. 25
D. 30
E. 40

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Answer: Option B

Explanation:

P+Q+R = 90 tk

Q = 10+P

R = 2Q = 2(10+P) = 20+2P

P+Q+R = 90

P+10+P+20+2P = 90

P = 15

So, Q = 10+P = 10+15 = 25

Now, P+Q = 15+25 = 40

Average of P and Q is = 40/2 = 20 (Ans)

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3362 . The speed of a boat in still water in 15 km/hr and the rate of current is 3 km/hr. The distance traveled downstream in 12 minutes is

A. 1.2 km
B. 3.6 km
C. 1.8 km
D. 2.4 km

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Answer: Option B

Explanation:

Speed downstream
= (15 + 3) kmph
= 18 kmph
Distance travelled
= (18 × 12/60) km
= 3.6 km

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

A. 2 km/hr
B. 2.5 km/hr
C. 3 km/hr
D. 4 km/hr

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Answer: Option C

Explanation:

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3364 . The speed of three cars is in the ratio of 2 : 3 : 4 . The ratio of the times taken by these cars to travel the same distance is -

A. 2 : 3 : 4
B. 4 : 3 : 6
C. 4 : 3 : 2
D. 6 : 4 : 3

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Answer: Option D

Explanation:

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জনতা ব্যাংক || অফিসার (আরসি) (28-06-2024) || 2024

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

3366 . 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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3368 . 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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3369 . 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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3372 . The sum of 25 consecutive integers is $5^{4}$ . What is the median of these integers?

A. 25
B. 75
C. 125
D. 625
E. None

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Answer: Option A

Explanation:

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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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3361 . The some of daily income of P, Q and R is TK.90. If Q earns TK.10 more than P and R earns double of what Q earns, then what is the average of daily income of P and Q?

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3362 . The speed of a boat in still water in 15 km/hr and the rate of current is 3 km/hr. The distance traveled downstream in 12 minutes is

3363 . The speed of a boat in still water is 10 km/hr. If it can travel 26 km downstream and 14 km upstream in the same time, the speed of the stream is:

3364 . The speed of three cars is in the ratio of 2 : 3 : 4 . The ratio of the times taken by these cars to travel the same distance is -

3365 . The square root of (7+3√5)(7−3√5) is:

3367 . The square root of 64009 is :

3368 . The statement "x>5 or x<3" is true if x equals.

3369 . 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?

3370 . 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.

3371 . 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?

3373 . The sum of 3 consecutive integers is less than 75. what is the greatest possible value of the smallest one?

3374 . The sum of 3 consecutive odd numbers is 57. The middle one is

3375 . The sum of 6 consecutive odd numbers exceeds twice the largest by 38. Find the sum of the six numbers?

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