3061 . A pencil cost 5 paisa. These are sold at 20% profit. Find out the selling price of one dozen pencils.

A. 72 paisa
B. 60 paisa
C. 50 paisa
D. None of these

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Answer: Option A

Explanation:

Cost of a pencil = 5 paisa

Cost of a dozen or 12 pencils = 5 x 12 = 60 paisa

Selling price at 20% profit = 60 + 20% of 60 = 60 + 12 = 72 paisa

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3062 . A pen was sold at 15% loss. If the selling price was Tk.8 more, then the seller could have made a profit of 10%. What was the purchase price of pen?

A. 45
B. 32
C. 36
D. 30

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Answer: Option B

Explanation:

Let,

Purchase price = Tk.x

At 15% loss SP = Tk.(17x/20)

At 10% profit SP = Tk.(11x/10)

As per question ,

(17x/20) + 8 = (11x/10)

Or, 5x = 160

Or, x = 32

Therefore, the required value = Tk.32

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3063 . A pen was sold at 15% loss. If the selling price was Tk 8 more, then the seller could have made a profit of 10%. What was the purchase price of pen?

A. 45
B. 32
C. 36
D. 30
E. None of them

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Answer: Option B

Explanation:

Let,

Purchase price = Tk.x

At 15% loss SP = Tk.(17x/20)

At 10% profit SP = Tk.(11x/10)

As per question ,

(17x/20) + 8 = (11x/10)

Or, 5x = 160

Or, x = 32

Therefore, the required value = Tk.32

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3064 . A patrol tank that is 1/2 full has 8 gallons petrol removed. The tank is then 1/10 full. What is the capacity, in gallons of the tank?

A. 40
B. 31/2
C. 20
D. 30

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Answer: Option C

Explanation:

Petrol removal = 1/2 - 1/10 = 2/5

2/5 of capacity = 8 gallons

So, full capacity = 8 x 5 / 2 = 20 gallons

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3065 . A particular carmaker sells four models of cars , and each model comes with 5 options. How many different types of cars does the carmaker sell?

A. 15
B. 16
C. 17
D. 18
E. 20

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Answer: Option E

Explanation:

প্রথম মডেল এর জন্য ৫টি অপশন। তাহলে এই মডেল এর জন্য ৫টি difference car type.

দ্বিতীয় মডেল এর জন্য একই নাম্বর এর difference types of car. একইভাবে , বাকি দুই টাইপ এর মডেল

তাহলে, 5 + 5 + 5 + 5 = 20 difference types

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3066 . A painter has painted one-third of a rectangular wall which is ten feet high. When he will paint another 75 square feet of that wall, he will have finished three-quarters of the job. What is the length (the horizontal dimension) of the wall?

A. 18 feet
B. 12 feet
C. 10 feet
D. 9 feet

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Answer: Option A

Explanation:

Given that hight of the wall is 10 m

Let Base of the wall is x m

Area of wall is 10x sq m

Three - quarter = 3/4

ATQ = According to the question

(3/4 - 1/3) part of wall = 75 sq m

So, 1 part of wall = 180 sq m

Rectangular base of the wall is 180/10 = 18 m

Ans. 18 m

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3067 . A painter has painted one-third of a rectangular wal which is ten feet high. When he will paint another 75 sq. feet of that wall, he will have finished three-quarters of the job. What is the length of the wall?

A. 10 feet
B. 9 feet
C. 18 feet
D. 12 feet

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Answer: Option C

Explanation:

Given that hight of the wall is 10 m

Let Base of the wall is x m

Area of wall is 10x sq m

Three - quarter = 3/4

ATQ = According to the question

(3/4 - 1/3) part of wall = 75 sq m

So, 1 part of wall = 180 sq m

Rectangular base of the wall is 180/10 = 18 m

Ans. 18 m

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3068 . A painter has painted 1/3 of a rectangular wall that is 12 feet high. When he will paint another 50 square feet of the wall he will have finished 50% of the job. What is the length of the wall?

A. 25
B. 50
C. 15
D. 20

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Answer: Option A

Explanation:

Let's break down the problem step by step:

The painter has painted 1/3 of a rectangular wall that is 12 feet high. Let's call the length of the wall "L" feet.

When he paints another 50 square feet of the wall, he will have finished 50% of the job.

First, let's find the total area of the wall. The area of a rectangle is given by the formula: Area = Length × Height.

In this case, the height of the wall is given as 12 feet, and we want to find the length (L) of the wall.

So, the total area of the wall is: Total Area = L × 12 square feet.

Next, the painter has already painted 1/3 of the wall, which is (1/3) × Total Area. We can represent this as:

Painted Area = (1/3) × L × 12 square feet.

Now, the painter wants to finish 50% of the job by painting an additional 50 square feet. This means that the Painted Area plus 50 square feet is equal to half of the Total Area:

Painted Area + 50 = (1/2) × Total Area

Substitute the expressions for Painted Area and Total Area:

(1/3) × L × 12 + 50 = (1/2) × L × 12

Now, let's solve for L:

Multiply both sides by 6 to get rid of the fractions:

2L × 12 + 300 = 3L × 12

24L + 300 = 36L

Subtract 24L from both sides:

300 = 12L

Now, divide by 12 to find the length L:

L = 300 / 12 = 25 feet

So, the length of the wall is 25 feet.

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3069 . A number when divided by divisor leaves a remainder of 24. When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor ?

A. 13
B. 35
C. 37
D. 59

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Answer: Option C

Explanation:

যেহেতু remainder 24 সেহেতু Divisior অবশ্যাই 24 এর চেয়ে বড় হবে।

সুতরাং, নির্ণেয় divisior 37

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3070 . A number when divided by 627 leaves a remainder 43. By dividing the same number by 19, the remainder will be-

A. 32
B. 43
C. 13
D. 5

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Answer: Option D

Explanation:

Let number be the x.

We know that, dividend = divisor X quotient + remainder When x is divided by 627, the remainder is 43.

x = 627k+ 43, where k is quotient.

Here x is multiple of 627.

Let us consider the factor s of 627, 6273 × 19 × 11

We have to find the remainder when dividing by 19 so expressing the equation in term of 19 is helpful.

As 4319x2+5

Therefore x = 3 × 19 × 11 × k+ (19×2+5)=19(33k+2) +5 x = 19(33k+2) +5

So, on dividing x by 19 the remainder will be 5.

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

A. 2
B. 3
C. 4
D. 5

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Answer: Option C

Explanation:

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3072 . A number is selected at random from 40 to 59 inclusive. What is the probability that the number is prime number?

A. 3/11
B. 3/10
C. 2/11
D. 1/5
E. None of these

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Answer: Option E

Explanation:

Total number of numbers = 59 - 40 + 1 = 20

Prime numbers : 41, 43, 47, 53, 59 = 5 in total

So, the probability = 5/20 = 1/4

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3073 . A number is greater than 3 but less than 8. Also, it is greater than 6 but less than 10. The number is -

A. 8
B. 5
C. 6
D. 7

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Answer: Option D

Explanation:

10>x>6

Here, x must be one from 7,8,9

8>x>3

Here, x must be one from 4,5,6,7

So, the only ans is 7 as per both of the conditions

(ans)

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3074 . A number is doubled and 9 is added. If the resultant is trebled, it beomes 75. What is that number?

A. None of these
B. 6
C. 8
D. 3.5

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Answer: Option C

Explanation:

ধরি, সংখ্যাটি x

( 2x + 9) × 3 = 75

2x + 9 = 25

2x = 16

x = 8

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পূবালী ব্যাংক লিমিটেড || সিনিয়র অফিসার (30-09-2023) || 2023

A. 3.5
B. 6
C. 8
D. None of these

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Answer: Option C

Explanation:

Hints: ধরি সংখ্যটি, x

তাহলে, 3{2x + 9} = 75

2x + 9 = 25

2x = 25 - 9

x = 8

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3061 . A pencil cost 5 paisa. These are sold at 20% profit. Find out the selling price of one dozen pencils.

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3062 . A pen was sold at 15% loss. If the selling price was Tk.8 more, then the seller could have made a profit of 10%. What was the purchase price of pen?

3063 . A pen was sold at 15% loss. If the selling price was Tk 8 more, then the seller could have made a profit of 10%. What was the purchase price of pen?

3064 . A patrol tank that is 1/2 full has 8 gallons petrol removed. The tank is then 1/10 full. What is the capacity, in gallons of the tank?

3065 . A particular carmaker sells four models of cars , and each model comes with 5 options. How many different types of cars does the carmaker sell?

3066 . A painter has painted one-third of a rectangular wall which is ten feet high. When he will paint another 75 square feet of that wall, he will have finished three-quarters of the job. What is the length (the horizontal dimension) of the wall?

3067 . A painter has painted one-third of a rectangular wal which is ten feet high. When he will paint another 75 sq. feet of that wall, he will have finished three-quarters of the job. What is the length of the wall?

3068 . A painter has painted 1/3 of a rectangular wall that is 12 feet high. When he will paint another 50 square feet of the wall he will have finished 50% of the job. What is the length of the wall?

3069 . A number when divided by divisor leaves a remainder of 24. When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor ?

3070 . A number when divided by 627 leaves a remainder 43. By dividing the same number by 19, the remainder will be-

3071 . A number when divided by 3 leaves a remainder 1 . When the quotient is divided by 2, it leaves a remainder 1. What will be the remainder when the number is divided by 6?

3072 . A number is selected at random from 40 to 59 inclusive. What is the probability that the number is prime number?

3073 . A number is greater than 3 but less than 8. Also, it is greater than 6 but less than 10. The number is -

3074 . A number is doubled and 9 is added. If the resultant is trebled, it beomes 75. What is that number?

3075 . A number is doubled and 9 is added. If the resultant is trebled, it becomes 75. What is the number?

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