1066 . A short distance athlete has taken 60 sec to cover 100m. If he makes 30 steps in 9, sec how many steps has he taken in that time?

A. 130
B. 170
C. 173
D. None

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Answer: Option D

Explanation:

He makes in 9 sec = 30 steps

So,he will make 60 sec = (30×60)/9 = 200 steps

1067 . A solid cube of side 6 is first painted pink and then cut into smaller cubes of side 2. How many of the smaller cubes have on exactly 2 sides>

A. 13
B. 27
C. 30
D. 12

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Answer: Option D

Explanation:

A solid cube of side 6 is first painted pink and then cut into smaller cubes of side 2.

This means , we get a 3 x 3 x 3 cube
To get the the sides with just 2 faces painted, picture the edges of the each of the sides of the cube.
Apart from the corners(which have 3 faces painted), all other small cubes have 2 faces painted.

In total, we have 12 cubes of side 2 with exactly 2 sides painted

1068 . A special lottery is to be held to select the student who will live in the only deluxe room in a dormitory. There are 100 seniors, 150 juniors, and 200 sophomores who applied. Each senior's name is placed in the lottery 3 times, each junior's name, 2 times, and each sophomore's, 1 time. What is the probability that a senior's name will be chosen?

A. 1/8
B. 2/9
C. 2/7
D. 3/8
E. None of these

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Answer: Option D

Explanation:

Total number of seniors' names = 3 x 100 = 300

Total number of juniors' names = 2 x 150 = 300

Total number of sophomores' names = 200

Total student names for lottery = 300 + 300 + 200 = 800

Probability of a senior's name to be chosen = 300 / 800 = 3/8

1069 . A speed of 14 meters per second is the same as-

A. 50 km/hr
B. 46.6 km/hr
C. 28 km/hr
D. 70 km/hr

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Answer: Option A

Explanation:

14m/sec = 14×(18/5)km/hour

= 50.4 km/hour

1070 . A sport club has 50 members. Of these. 35 play golf, 30 play soccer and 18 play both golf and soccer. How many members do play nether golf nor soccer?

A. 8
B. 5
C. 3
D. 17

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Answer: Option C

Explanation:

only golf = 35-18= 17

only soccer= 30-18= 12

Both play= 18

So,at least one play= 17+12+18= 47

So, not any play= 50-47= 3

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

A. 150
B. 180
C. 300
D. 330

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Answer: Option D

Explanation:

1072 . A square is inscribed in a circle of diameter 2a and another square is circumscribing circle. The difference between the areas of outer and inner squares is:

A. a^2
B. 2a^2
C. 3a^2
D. 4a^2

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Answer: Option B

Explanation:

To find the difference between the areas of the outer square and the inner square, you can use the following approach:

Let the side length of the inner square be "x," and the side length of the outer square be "y." Since the inner square is inscribed in the circle, its diagonal is equal to the diameter of the circle, which is 2a. Using the Pythagorean theorem, we can relate x and the radius (a) of the circle:

x^2 + x^2 = (2a)^2 2x^2 = 4a^2 x^2 = 2a^2 x = a√2

Now, the side length of the outer square (y) is equal to the diameter of the circle, which is 2a:

y = 2a

To find the difference in their areas:

Area of outer square - Area of inner square = y^2 - x^2

Substitute the values of y and x:

(2a)^2 - (a√2)^2 = 4a^2 - 2a^2 = 2a^2

So, the difference between the areas of the outer square and the inner square is 2a^2.

Sonali- Rupali- Bangladesh Krishi- Rajshahi krishi unnayn-Investment Corporation of Bangladesh | 30.11.2018

A. 34 m
B. 1156 m
C. 136 m
D. Cannot be determined

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Answer: Option C

Explanation:

বাংলাদেশ ব্যাংক || সহকারী পরিচালক (AD) (20-10-2023)

A. TK. 9000
B. TK. 8500
C. TK. 8000
D. TK. 7500
E. None of these

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Answer: Option A

Explanation:

Let, the capital of B = x tk

According to the question,

(3500×12) /7x = 2/3

14x = 3500×12

x = ( 3500×12×3)/14

x = 9000 Tk.

1075 . A stock decreases in value by 25%. By what percent must the value of that stock increase to reach its former value ?

A. 30%
B. 40%
C. 25%
D. 50%
E. None of these

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Answer: Option E

Explanation:

(2 + 3) বা 5 বছরে সুদাসল = 300
এবং বছর পর সুদাসল = 240
3 জছরের সুদ = 60

1076 . A stock is currently at Tk. 40 per share. If the price increases by 20 percent and then decreases by 25 percent, what will be the new value of the share?

A. Tk. 36
B. Tk. 40
C. Tk. 48
D. Tk. 30

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Answer: Option A

Explanation:

Sonali &amp- Janata Bank Ltd. Senior Officer (IT/ICT) 08.06.2018

A. 5.50
B. 7.60
C. 11.00
D. 12.10

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Answer: Option B

Explanation:

1078 . A student first reduced a number by 20 percent and then increased it again by 20 percent. If the difference between the two new numbers was 8, then what is the original number?

A. 40
B. 50
C. 75
D. 100

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Answer: Option B

Explanation:

Suppose, Total marks = 100

20% reduced = 80

Then, 20% increased = 80 + 80 of 20% = 96

Difference = 100 - 96 = 4

4 difference then orginal number = 100

8 difference then orginal number = (100×8)/4

= 200

20% increased = 96%

Difference between two new number= 96-80 = 16

Difference is 16 when the original number is 100

,, ,, 8 ,, ,, = 50

Answer : 50

1079 . A student is to answer 10 out of 13 questions in an examination such that he must choose at least 4 from the first five questions . The number of choices available to him is .

A. 140
B. 196
C. 280
D. 346

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Answer: Option B

Explanation:

If the student answers 4 questions from the first five questions he can choose 6 questions from the remaining 8 questions. Therefore number of combinations will be 5C4 × 8C6 = 140 If the student answers 5 questions from the first five questions he can choose 5 questions from the remaining 8 questions. Which will be 5C5 × 8C5 = 56 Therefore total number of choices = 140 + 56 = 196

Officer (General) |-Sonali | Janata | Bangladesh Krishi_Bangladesh Development bank ২৪.০৫.২০১৯

A. 33
B. 31
C. 27
D. 37

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Answer: Option A

Explanation:

ধরি, সঠিক উত্তর দেওয়ার প্রশ্ন সংখ্যা x
⸫ 2x – (60 – x) × 1 = 39
⇒ 2x – 60 + x = 39
⇒ 3x = 99 ⸫ x = 33

Bangladesh Bank - Assistant Director - 2015

1066 . A short distance athlete has taken 60 sec to cover 100m. If he makes 30 steps in 9, sec how many steps has he taken in that time?

1067 . A solid cube of side 6 is first painted pink and then cut into smaller cubes of side 2. How many of the smaller cubes have on exactly 2 sides>

1069 . A speed of 14 meters per second is the same as-

1070 . A sport club has 50 members. Of these. 35 play golf, 30 play soccer and 18 play both golf and soccer. How many members do play nether golf nor soccer?

1071 . A sport goods store ordered an eual number of white and yellow tennis balls.The tennis ball company delivered 30 extra tennic ,making the ratio of white balls to yellow balls 6:5.How many tennic hall did the sport goods store originally order?

1072 . A square is inscribed in a circle of diameter 2a and another square is circumscribing circle. The difference between the areas of outer and inner squares is:

1073 . A square park is surrounded by a path of uniform width 2 meters all around it. The area of the path is 288 sq. meters. Find the perimeter of the park.

1074 . A starts business with TK. 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2:3. What is B's contribution in the capital?

1075 . A stock decreases in value by 25%. By what percent must the value of that stock increase to reach its former value ?

1076 . A stock is currently at Tk. 40 per share. If the price increases by 20 percent and then decreases by 25 percent, what will be the new value of the share?

1077 . A store raised the price of an item by exactly 10 percent. Which of the following could not be the resulting price of the item in taka?

1078 . A student first reduced a number by 20 percent and then increased it again by 20 percent. If the difference between the two new numbers was 8, then what is the original number?

1079 . A student is to answer 10 out of 13 questions in an examination such that he must choose at least 4 from the first five questions . The number of choices available to him is .

1080 . A student loses 1 mark for every wrong answer and scores 2 marks for every correct answer . If he answers all the 60 questions in an exam and scores 39 marks , how many of them were correct ?

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