676 . A box contains 21 balls numbered 1 to 21 . A ball numbered 1 to 21 . A ball is drawn and then another ball is brawn without replacement . What is the probability that both balls are even numbered?

A. 2/7
B. 3/14
C. 8/21
D. 5/21

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Answer: Option B

Explanation:

জনতা ও রূপালী ব্যাংক- অফিসার ১৩.১২.২০১৯

A. 2/17
B. 4/17
C. 4/11
D. 3/13

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Answer: Option B

Explanation:

678 . A box contains 48 balls some red and some black. Each of the followings could be the ratio of red to black balls except ---

A. 1:1
B. 3:1
C. 4:3
D. 5:3

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Answer: Option C

Explanation:

48 can not be divided by (4 + 3 = 7). So, the balls can not be divided into 4:3 ratio.

679 . A box contains 90 nuts each of 100 gm and 100 bolts each of 150 gm. If the entire box weighs 35.5 kg, then find the weight of the empty box

A. 10.5kg
B. 11kg
C. 11.5kg
D. 24 kg

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Answer: Option C

Explanation:

Weight of the nut and bolts = 90×100 + 100×150 = 9000 + 15000 = 2400gm = 24 kg

So, weight of the empty box = 35.5 - 24 = 11.5 kg

বাংলাদেশ ব্যাংক || অফিসার (ক্যাশ) (21-07-2023)

A. 10 kg
B. 10.5 kg
C. 11 kg
D. 11.5 kg
E. None of these

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Answer: Option D

Explanation:

Weight of the nut and bolts = 90×100 + 100×150 = 9000 + 15000 = 2400gm = 24 kg

So, weight of the empty box = 35.5 - 24 = 11.5 kg

681 . A box contains m number of chocolates. After distributing the chocolates equally among 16 students you are left with 6 chocolates. Which of the following must be true?

A. m+4 is divisible by 8
B. m-2 is divisible by 4
C. m+6 is divisible by 8
D. None of these

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Answer: Option B

Explanation:

ব্যাখাঃ

মোট চকলেটের সংখ্যা হবে ( ১৬ এর গুনিতক + ৬)

অর্থাৎ সংখ্যাটি ২২, ৩৮, ৫৪ প্রভৃতি হতে পারে।

এখন, ২২ + ৪ = ২৬ যা দ্বারা ৮ বিভাজ্য নয়

২২ + ৬ = ২৮ যা দ্বারা ৮ বিভাজ্য নয়

২২ - ২ = ২০ যা ৪ দ্বারা বিভাজ্য নয়

682 . A box is made in the form of a cube. If a second cubical box has inside dimensions three those of the first box, how many times as much does the second contain?

A. 27
B. 12
C. 9
D. 6

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Answer: Option A

Explanation:

Let's consider the volume of each box.

The first box is in the form of a cube, so all sides are equal. Let the length of one side of the first box be "a."

Volume of the first box = a^3
The second box has inside dimensions three times those of the first box. So, each side of the second box is 3a (since it's three times the length of the first box).

Volume of the second box = (3a)^3 = 27a^3
Now, let's find out how many times as much the second box contains compared to the first box:

(Volume of the second box) / (Volume of the first box) = (27a^3) / (a^3) = 27

So, the second box contains 27 times as much as the first box.

Three Combined Bank Recruitment - Senior Officer 03 .08.2018 ||

A. 7 km
B. 10 km
C. 4 km
D. 5 km

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Answer: Option B

Explanation:

জনতা ও রূপালী ব্যাংক- অফিসার ১৩.১২.২০১৯

A. 16
B. 24
C. 26
D. 28

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Answer: Option D

Explanation:

let

x = number of questions

Therefore,

correct answer = 50% of x

10 + 1/4 (x - 12) = 0.5x

10 + 0.25x - 3 = 0.5x

7 = 0.5x - 0.25x

7 = 0.25x

x = 7 / 0.25

x = 28

Therefore, they are 28 questions on the test.

685 . A boy got 50% of the questions on a test correct. If he had 10 questions correct out of the first 12, and 25% of the remaining questions correct, how many questions were on the test ?

A. 16
B. 24
C. 26
D. 28
E. None of these

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Answer: Option D

Explanation:

let

x = number of questions

Therefore,

correct answer = 50% of x

10 + 1/4 (x - 12) = 0.5x

10 + 0.25x - 3 = 0.5x

7 = 0.5x - 0.25x

7 = 0.25x

x = 7 / 0.25

x = 28

Therefore, they are 28 questions on the test.

686 . A boy read 3/8 th of a book on one day and 4/5 th of the remainder on another day. If there were 30 pages unread, how many pages did the book contain?

A. 240
B. 300
C. 600
D. 800

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Answer: Option A

Explanation:

If 3/8 of the book were read the first day, 5/8 part were remaining 4/5 of 5/8 = 4/5 * 5/8 = 4/8 So now 3/8 + 4/8 = 7/8 have been read The 30 pages that remain must be 1/8 of the total. So if p is the total number of pages: p/8 = 30 p = 240 pages Hence the book contain 240 pages did the book contain.

সমন্বিত ১০ ব্যাংক ও আর্থিক প্রতিষ্ঠান || অফিসার (জেনারেল) (08-03-2024)

A. 12
B. 15
C. 25
D. 32

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Answer: Option A

Explanation:

Hints: Let the number be x

x ×52 = x ×25 + 324

27x = 324

x = 12

688 . A boy was asked to multply a number by 7/8 instead he divided the number by 7/8 and got the result 15/14 more than what he should have got if he had multiplied the number by 7/8. The number is ---

A. 8
B. 6
C. 4
D. None of these

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Answer: Option C

Explanation:

689 . A bus travelling at a speed of 5 km/hour, takes 3 hours to complete a distance. If it takes 4 hours to complete the same distance by your car, what is your speed ?

A. 24km/hour
B. 40km/hour
C. 3.75km/hour
D. none of these

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Answer: Option C

Explanation:

Speed 5km/hr

Time taken 3 hours

So, distance=5×3=15 km

So, my speed=15/4=3.75 km/hr

(ans)

690 . A business firm reduces the number of hours its employees work from 40 hours per week to 36 hours per week while continuing to pay the same amount of money. If an employee earned x taka per hour before the reduction in hours, how much does he earn hour under the new system?

A. 1/10
B. x/9
C. 9x/10
D. 10x/9

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Answer: Option D

Explanation:

In 1 hour it's x taka

So, in 40 hours it's 40x taka

So, earn per hour in new system=40x/36=10x/9

(ans)

676 . A box contains 21 balls numbered 1 to 21 . A ball numbered 1 to 21 . A ball is drawn and then another ball is brawn without replacement . What is the probability that both balls are even numbered?

677 . A box contains 4 tennis ball 6 season and 8 dues balls . 3 balls are randomly drawn from the box. What is the probability that the balls are different ?

678 . A box contains 48 balls some red and some black. Each of the followings could be the ratio of red to black balls except ---

679 . A box contains 90 nuts each of 100 gm and 100 bolts each of 150 gm. If the entire box weighs 35.5 kg, then find the weight of the empty box

680 . A box contains 90 nuts each of 100 gms an d 100 bolts each of 150 gms. If the entire box weighs 35.5 kgs , then the wight of the empty box is--

681 . A box contains m number of chocolates. After distributing the chocolates equally among 16 students you are left with 6 chocolates. Which of the following must be true?

682 . A box is made in the form of a cube. If a second cubical box has inside dimensions three those of the first box, how many times as much does the second contain?

683 . A boy goes to school at a speed of 5 km/h and returns to the village at a speed of 4 km/hr. If he takes 4 hours and 30 minutes in all, what is the distance between the village and the school?

684 . A boy got 50% of the questions on a test correct . If he had 10 questions correct out of the first 12 and 25% of the remaining questions correct, how many questions were on the test?

685 . A boy got 50% of the questions on a test correct. If he had 10 questions correct out of the first 12, and 25% of the remaining questions correct, how many questions were on the test ?

686 . A boy read 3/8 th of a book on one day and 4/5 th of the remainder on another day. If there were 30 pages unread, how many pages did the book contain?

687 . A boy was asked to multiply a number by 25. He instead multiplied the number by 52 and got the answer 324 more than the correct answer. The number to be multiplied was :

688 . A boy was asked to multply a number by 7/8 instead he divided the number by 7/8 and got the result 15/14 more than what he should have got if he had multiplied the number by 7/8. The number is ---

689 . A bus travelling at a speed of 5 km/hour, takes 3 hours to complete a distance. If it takes 4 hours to complete the same distance by your car, what is your speed ?

690 . A business firm reduces the number of hours its employees work from 40 hours per week to 36 hours per week while continuing to pay the same amount of money. If an employee earned x taka per hour before the reduction in hours, how much does he earn hour under the new system?

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