1171 . 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

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1172 . 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

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1173 . 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

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1174 . 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

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

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

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Answer: Option D

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1176 . A square carpet with an area of 169 cm² must have 2 cm cut off one of its edges in order to be a perfect fit for a rectangular room. what is the area (in cm²) of this rectangular room?

A. 117
B. 143
C. 145
D. 165

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Answer: Option B

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

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.

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Officer (Cash) -Sonali Bank | BD Development | BD Krishi Bank - 12.10.2018

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

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Answer: Option C

Explanation:

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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.

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সাধারণ বীমা কর্পোরেশন || সহকারী ব্যবস্থাপক (08-11-2024) || 2024

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

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1181 . 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:

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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:

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1183 . A student answers 69 questions in an exam. He makes twice as many mistakes as he makes correct answers. How many questions did he get right? (একটি পরীক্ষায় একজন শিক্ষার্থী ৬৯টি প্রশ্নের উত্তর দেয়। সে যতটি প্রশ্নের সঠিক উত্তর দেয় তার চেয়ে দ্বিগুণ ভুল করেন। সে কতটি প্রশ্নের উত্তর সঠিক করতে পেরেছিল?)

A. 23
B. 26
C. 34
D. 46

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Answer: Option A

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Dutch Bangla Bank || Sales Manager (18-09-2024) || 2024

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

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1185 . 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

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

1171 . 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>

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1173 . A speed of 14 meters per second is the same as-

1174 . 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?

1175 . 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?

1177 . 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:

1178 . 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.

1179 . 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?

1180 . A stock decreases in value by 25%. By what percent must the value of that stock increase to reach its former value ?

1181 . 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?

1182 . 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?

1184 . 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?

1185 . 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.

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