3451 . The volume of a rectangle with length. breadth, and height as $5 x, 3 x^{2}$ and $7 x^{4}$

A. $105 x^{7}$
B. $105 x^{2}$
C. $105 x^{4}$
D. $105 x$

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Answer: Option A

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3452 . The volume of a rectangular solid is to be increased by 50% without altering its base. To what extent the height of the solid must be changed.

A. 50%
B. 40%
C. 30%
D. 20%

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Answer: Option A

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Basic bank recruitment 2018; auditor 26.01.2018 || Image 2018

A. 1/4
B. 2
C. 3
D. 1/12

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Answer: Option C

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3454 . The width of a rectangle is 20 cm. the diagonal is 8 cm more than the length. Find the length of the rectangle.

A. 20
B. 23
C. 22
D. 21

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Answer: Option D

Explanation:

Let's denote the length of the rectangle as "L."

According to the given information, the width of the rectangle is 20 cm, and the diagonal is 8 cm more than the length, which can be expressed as:

Diagonal = L + 8

Now, we can use the Pythagorean Theorem to relate the length, width, and diagonal of the rectangle:

Diagonal^2 = Length^2 + Width^2

Plugging in the values we have:

(L + 8)^2 = L^2 + 20^2

Expanding and simplifying:

L^2 + 16L + 64 = L^2 + 400

Now, let's solve for L:

16L + 64 = 400

Subtract 64 from both sides:

16L = 400 - 64 16L = 336

Now, divide by 16:

L = 336 / 16 L = 21

So, the length of the rectangle is 21 cm.

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সহকারী পরিচালক(AD) -12.11.2021

A. 480 square yards
B. 5,000 square yards
C. 2,400 square yards
D. 4,800 square yards

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Answer: Option D

Explanation:

Length=120 yards

So, width=120×⅓=40 yards

So, area=120×40=4800 sq. yards

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3456 . The width of a rectangular fields is 1/3 rd its length. What is the area of the field in square yards if its length is 120 yeards?

A. 480
B. 5000
C. 2400
D. 4800

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Answer: Option D

Explanation:

length of the field 120 yards.

Width = 120/3 = 40 yards.

We know that,

Area of the rectangle = Length × Width

Area of the Field = 120 × 40

= 4800 yard²

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3457 . There are 10 true-false questions in an examination. these questions can be answered in-

A. 20 ways
B. 100 ways
C. 150 ways
D. 1024 ways

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Answer: Option D

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অফিসার (সাধারণ) ২৭.১২. ২০১৯

A. 45
B. 60
C. 75
D. none of these

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Answer: Option C

Explanation:

Number of technicians = {5 / (3 + 5)} x 120 = 75

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3459 . There are 120 engineers and technocians working in a project in a project. If the ratio of enginerrs to technicians is 3 to 5, how many technicians are working in the project?

A. 45
B. 60
C. 75
D. 90

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Answer: Option C

Explanation:

ধরি, ইঞ্জিনিয়ার সংখ্যা = 3x
টেকনেশিয়ান সংখ্যা = 5x
3x + 5x = 120
8x = 120
x = 120/8
x = 15
টেকনেশিয়ান সংখ্যা = (15x5) জন = 75 জন।

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3460 . There are 15 boys and 10 girls in a class. If three students are selected at random, what is the probability that 1 girl and 2 boys are selected?

A. 1/40
B. 1/2
C. 21/46
D. 7/41

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Answer: Option C

Explanation:

1 girl & 2 boys can be selected in = (10C1) × (15C2) ways = 10 × 105 ways = 1050 ways.
3 students can be selected from 25 students = 25C3 = 2300 ways
Required probability = 1050/2300 = 21/46. Ans: C

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অফিসার (ক্যাশ) নিয়োগ পরীক্ষা- ১২-১০-২০১৮ ||

A. 8
B. 6
C. 4
D. 16

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Answer: Option A

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3462 . There are 20 members on a football squad. In electing a captain and a co-captain, how many different outcomes of the election is possible ?

A. 760
B. 380
C. 190
D. None of these

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Answer: Option C

Explanation:

20C2 = (20!)/(2!*18!) = (20*19)/2 = 190

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Bangladesh Bank - Officer - 2001

A. 32
B. 72
C. 60
D. 100
E. None of these

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Answer: Option B

Explanation:

Solution:

Let the time taken for one question be x

Then math question takes 2x

Remaining questions other than math questions are 150

then time taken for the remaining questions is 150x

Time taken to solve math questions = 50 × 2x = 100x

100x + 150x = 3 × 60

250x = 180

x = 180/250

Then time taken for math problems = 2 × 180/250 × 50 = 72 minute .

minute

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Bangladesh Bank - Assistant Director - 2009

A. 30
B. 50
C. 40
D. 80

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Answer: Option D

Explanation:

Passed in Bangla = 76% of 200 = 152

Passed in English = 54% of 200 = 108

Failed in both subjects = 10% of 200 = 20

Passed in atleast one subject = 200 - 20 = 180

Passed in both subjects = 152 + 108 - 180 = 80

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3465 . There are 23 poles with a constant distance between each pole. A car takes 24 seconds to reach the 12th pole. How much more time will it take to reach the last pole?

A. 40 seconds
B. 44 seconds
C. 48 seconds
D. 46 seconds

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Answer: Option C

Explanation:

There is error in the question or the options. If the options are right then the last line of the question will be How much more time will it take to reach the last pole?

If the pole 1 is the start point of car then,car is

At 0 zero seconds = in pole 1

At 24th seconds = in pole 12

So it has covered distance of 11 poles in 24 seconds.

So, time taken to cover distance between 2 poles is 2.18 seconds (24/11)

And hence the car would reach 23th pole in 48 seconds (2.18*22).

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3452 . The volume of a rectangular solid is to be increased by 50% without altering its base. To what extent the height of the solid must be changed.

3453 . The water in a fish tank measuring 5/4 feet by 8 inches is 7 inches high. The water is poured into another tank measurinig 14 inches by 20 inches. What will be the height of water, in inches in the secont tank?

3454 . The width of a rectangle is 20 cm. the diagonal is 8 cm more than the length. Find the length of the rectangle.

3455 . The width of a rectangular field is 1/3 times its length. What is the area of the field if the length of the field is 120 yards?

3456 . The width of a rectangular fields is 1/3 rd its length. What is the area of the field in square yards if its length is 120 yeards?

3457 . There are 10 true-false questions in an examination. these questions can be answered in-

3458 . There are 120 engineers and technicians working in a project. If the ratio of engineers to technicians in 3 to 5, how many technicians are working in the project?

3459 . There are 120 engineers and technocians working in a project in a project. If the ratio of enginerrs to technicians is 3 to 5, how many technicians are working in the project?

3460 . There are 15 boys and 10 girls in a class. If three students are selected at random, what is the probability that 1 girl and 2 boys are selected?

3461 . There are 18 bananas on a tree. If one munkey eats 1/3 of the bananas and another monkey eats 1/3 of the rest, how many bananas are still on the tree?

3462 . There are 20 members on a football squad. In electing a captain and a co-captain, how many different outcomes of the election is possible ?

3463 . There are 200 questions on a 3-hour examination . Among these questions 50 are mathematics problems. It is suggested that twice as much time be spent on each math problem as for each other question. How many minutes should be spent on mathematics problem

3464 . There are 200 students in a class. 76% passed in Bangla and 54% passed in English. If 10% of the students failed in both the subjects then how many of them passed in both subjects?

3465 . There are 23 poles with a constant distance between each pole. A car takes 24 seconds to reach the 12th pole. How much more time will it take to reach the last pole?

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