1006 . A number is selected at random from 40 to 50 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

1007 . 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?

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

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Answer: Option C

Explanation:

1008 . 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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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

1010 . 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.

1011 . 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

1012 . 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

1013 . 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

1014 . 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

1015 . 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

1016 . 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

1017 . 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

1018 . A person bought an article and sold it at a loss of 10%. If he had bought it for 20% less and sold it for Tk.55 more he would have had a profit of 40%. The CP of the article is--

A. 250
B. 275
C. 300
D. 200

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Answer: Option A

Explanation:

Let C.P. = Rs. P
Then S.P. = Rs. (90/100) x P = Rs. (9 x P)/10
New C.P. = Rs. (80/100) x P = Rs. (4 x P)/5
Now, Gain = 40%
∴ New S.P. Rs. (140/100 x 4P/5) = Rs. 28P/25
∵ 28P/25 - 9P/10 = Rs. 250

1019 . A person buys a TV worth BDT 3,90,000 with a down payment of 40,000, including Tk. 5000 as first month's installment . How many more installments does he have to pay if his installments had to double after each successive payment?

A. 6
B. 7
C. 8
D. 10

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Answer: Option A

Explanation:

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

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

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Answer: Option A

Explanation:

The cost maximum no. pens = 9x7 = Tk. 63
So, the costs of pencils = Tk. (81 - 63) = Tk. 18
The no. of pencils = 18/3 = 6
So, the ratio of the no. of pens & pencils = 9:6 = 3:2

Bangladesh Bank - Assistant Director - 2001

1006 . A number is selected at random from 40 to 50 inclusive. What is the probability that the number is prime number?

1007 . 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?

1008 . A number when divided by 627 leaves a remainder 43. By dividing the same number by 19, the remainder will be-

1009 . 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 ?

1010 . 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?

1011 . 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?

1012 . 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?

1013 . 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?

1014 . 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?

1015 . 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?

1016 . 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?

1017 . A pencil cost 5 paisa. These are sold at 20% profit. Find out the selling price of one dozen pencils.

1018 . A person bought an article and sold it at a loss of 10%. If he had bought it for 20% less and sold it for Tk.55 more he would have had a profit of 40%. The CP of the article is--

1019 . A person buys a TV worth BDT 3,90,000 with a down payment of 40,000, including Tk. 5000 as first month's installment . How many more installments does he have to pay if his installments had to double after each successive payment?

1020 . A person buys some pens and pencils. The pen costs Tk.7 ech and pencil costs Tk.3 each. If he spends exactly Tk.81 and buys the maximum numbers of pen possible under these conditions, what is the ratio of pen to pencil?

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