1246 . A two-digit number becomes five-sixth of itself when its digits are reversed. Two digits differ by one. The number is :

A. 45
B. 54
C. 56
D. 65

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Answer: Option B

Explanation:

Hints: When the digits are reversed, the number become 5/6 th of itself, lesser. So the units place digit is smaller.

Let, units place digit is x, so 10th place is x + 1, as the two digits differ by 1.

5/6 { 10(x + 1) + x} = 10x + x + 1

5 (11x + 10) = 6(11x + 1)

55x + 50 = 66x + 6

11x = 44

x = 4

The number is = 10(4 + 1) = 10×5 + 4 = 54

1247 . A two-digit number has 3 in its unit digit. The sum of its digit is one-seventh of the number itself. What is the number?

A. 73
B. 63
C. 53
D. 83
E. None of these

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Answer: Option B

Explanation:

Since it is in the form of a two digit number, then we can write it as a decimal expansion with a three in the units place.

Let y = 10x + 3

We also know that x + 3 = y⋅17x + 3 = y⋅17

This means if we multiply both sides by 7 we get:

y = 7(x + 3)y = 7(x + 3)

y = 7x + 21y = 7x + 21

Since these are both equal to y, we can set them equal one another to find x, the tens digit value:

7x + 21 = 10x + 37x + 21 = 10x + 3

−3x + 21 = 3−3x + 21 = 3

−3x = −18−3x = −18

x = 6x = 6

y = 10x + 3 = 10(6) + 3 = 63

1248 . A two-digit number has 3 in its unit digit. The sum of its digits is one-seventh of the number itself. What is the number?

A. 73
B. 63
C. 53
D. 50

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Answer: Option B

Explanation:

Let the decimal placed digit be X.

Then the number is (10X + 3).

Again, X + 3 = (10X + 3) / 7

or, 7X + 21 = 10X + 3

or, 10X - 7X = 21 - 3

or, 3X = 18

or, X = 6

So, the number is 63.

1249 . A two-digit number has 6 in its unit digit. The sum of its digits is one-fourth of the number itself. What is the number?

A. 36
B. 46
C. 66
D. 76
E. None of these

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Answer: Option A

Explanation:

Let the number be 10x + 6

(10x + 6) /4 = x + 6

10x + 6 = 4x + 24

6x = 18

x = 3

The number be ( 10×3 + 6) = 36

1250 . A typist can type 125 pages, 36 lines each, 11 words in each line in 5 days. How many pages of 30 lines each and 12 words to each line can he type in 6 days?

A. 170
B. 165
C. 180
D. 175

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Answer: Option B

Explanation:

125 x 36 x 11/5= y x 30 x 12/6
25 x 36 x 11= y x 5 x 12
5 x 3 x 11= y
15 x 11= y
y=165 pages.

1251 . A union contract specifies a 6 percent salary increase plus a Tk. 450 bonus for each employee. For a certain employee, this is equivalent to 8 percent salary increase. What was this employee's salary before the new contract?

A. Tk. 21,500
B. Tk. 22,500
C. Tk. 23,500
D. Tk. 24,300

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Answer: Option B

Explanation:

Suppose, employee's salary before the new contract was = X

as per condition,

6% salary increase + 450 = 8% salary increase

8% salary increase - 6% salary increase = 450

2% salary increase = 450

2% of X = 450

2X/100 = 450

X = 22500

So, Employee's salary before the new contract was = 22500 tk (Ans.)

1252 . A vegetable cart sells a potato for $0.24 and a tomato for $0.76. Fred bought 13 vegetables in total, he only bought potatoes and tomatoes. If fred paid $6.52 total, how many potatoes did he buy?

A. 4
B. 5
C. 8
D. 9

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Answer: Option B

Explanation:

জাতীয় নিরাপত্তা গোয়েন্দা সংস্থা-(NSI) Assistant Director- Research officer &amp- Assistant Programmer-০৮/১০/২০২১

A. current ratio
B. quick ratio
C. cash converge ratio
D. cash ratio

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Answer: Option D

Explanation:

A very short-term creditor, like a supplier who grants credit for only 30 days, is primarily concerned with the liquidity and ability of the firm to pay its short-term obligations quickly. In this case, the most relevant ratio to assess a firm's ability to meet short-term obligations is the "cash ratio."

The cash ratio is a measure of a company's ability to pay off its short-term liabilities with its cash and cash equivalents. It is a more conservative measure of liquidity than the current ratio or quick ratio because it considers only the most liquid assets (cash and cash equivalents) to cover short-term obligations.

The formula for the cash ratio is:

Cash Ratio = (Cash and Cash Equivalents) / Current Liabilities

By using the cash ratio, a short-term creditor can assess whether the firm has enough readily available cash to meet its obligations within a short time frame, such as 30 days.

So, the answer "cash ratio" is appropriate for a very short-term creditor's assessment of a firm's ability to meet their credit terms quickly.

1254 . A wall 8m ling, 6 m high and 22.5 cm thick is made up bricks, each measuring 25 cm × 11.25 cm × 6 cm. The number of bricks required was

A. 7200
B. 6400
C. 6000
D. 5600

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Answer: Option B

Explanation:

1255 . A watch gains 7 minutes and 6 seconds every 6 days. if the rate of gain is constant, how much does the watch gain in one day?

A. 1 min 6 sec
B. 1 min 11 sec
C. 1 min 16 sec
D. 1 min 21 sec

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Answer: Option B

Explanation:

Here, 7 min 6 sec = 7×60 + 6 sec = 426 sec

The clock in 6 days gains = 426 sec

So, the clock in 1 day gains = 426/6 = 71 sec = 1 min 11 sec

1256 . A water reservoir is 1/5th full and requires 20 liters more to make it 3/5th full. What is the capacity of the reservoir (in liters)?

A. 40
B. 30
C. 60
D. 50

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Answer: Option D

Explanation:

Hints: 1/5th full আচে, 20 liter লাগে তখন 3/5th করতে। তাহলে ( 3/5 - 1/5) বা, 2/5 অংশ হচ্ছে 20 liter, তাহলে সম্পূর্ণ অংশ = 20 × 5/2 = 50 liter

1257 . A Water reservoir is 1/5th full and requires 20 liters more to make it 3/5th full. What is the capacity of the reservoir ?

A. 40
B. 50
C. 60
D. None of these

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Answer: Option B

Explanation:

Bangladesh Bank - Officer - 2001

A. 30 min
B. 40 min
C. 42 min
D. 57 min
E. None of these

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Answer: Option A

Explanation:

Part filled by (A + B) in 1 minute = (1/60 + 1/40) = 1/24

Suppose , the tank is filled in x minutes

Then x/2 ( 1/24 + 1/40) = 1

x/2 × 1/15 = 1

x = 30 min

1259 . A water tank has two taps (Tap-1 and Tap-2) . Tap -1 can fill a tank in 8 hours and Tap-2 can empty the tank in 16 hours . How long will they take to fill the tank if both taps are opened simultaneously but Tap-2 is closed after 8 hours ?

A. 10
B. 12
C. 14
D. 16

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Answer: Option B

Explanation:

Let's find the rates at which each tap can fill or empty the tank:

Tap-1 can fill the tank in 8 hours, so its rate is 1 tank per 8 hours, which can be represented as 1/8 tank per hour.

Tap-2 can empty the tank in 16 hours, so its rate is -1 tank per 16 hours, which can be represented as -1/16 tank per hour since it's emptying the tank.

Now, when both taps are opened simultaneously, their rates are combined. So, the combined rate of filling the tank when both taps are open is:

Rate = (Rate of Tap-1) + (Rate of Tap-2) Rate = (1/8) + (-1/16)

Now, let's find a common denominator to add the rates:

Rate = (2/16) - (1/16) Rate = 1/16 tank per hour

So, when both taps are open, they fill the tank at a rate of 1/16 tank per hour.

Now, we want to know how long it takes to fill the tank completely. Let's denote the time it takes to fill the tank as "t" hours.

During the first 8 hours, both taps are open, so they fill the tank at a rate of 1/16 tank per hour for 8 hours:

(1/16) * 8 = 1/2 tank (filled in the first 8 hours)

Now, for the remaining time "t - 8" hours, only Tap-1 is open, and it fills the tank at a rate of 1/8 tank per hour:

(1/8) * (t - 8) = (t - 8)/8 tank (filled in the remaining time)

The total tank capacity is 1 (since we want to fill the tank completely).

So, we can write the equation:

1/2 (filled in the first 8 hours) + (t - 8)/8 (filled in the remaining time) = 1 (total capacity)

Now, solve for "t":

1/2 + (t - 8)/8 = 1

Multiply both sides by 8 to get rid of the fractions:

4 + t - 8 = 8

Now, isolate "t":

t - 4 = 8

t = 8 + 4 t = 12

So, it will take 12 hours to fill the tank completely if both taps are opened simultaneously, but Tap-2 is closed after 8 hours.

Basic bank recruitment 2018; auditor 26.01.2018 || Image 2018

A. 800
B. 1600
C. 2000
D. 500

View Answer	Favorite Question

Answer: Option A

Explanation:

1246 . A two-digit number becomes five-sixth of itself when its digits are reversed. Two digits differ by one. The number is :

1247 . A two-digit number has 3 in its unit digit. The sum of its digit is one-seventh of the number itself. What is the number?

1248 . A two-digit number has 3 in its unit digit. The sum of its digits is one-seventh of the number itself. What is the number?

1249 . A two-digit number has 6 in its unit digit. The sum of its digits is one-fourth of the number itself. What is the number?

1250 . A typist can type 125 pages, 36 lines each, 11 words in each line in 5 days. How many pages of 30 lines each and 12 words to each line can he type in 6 days?

1251 . A union contract specifies a 6 percent salary increase plus a Tk. 450 bonus for each employee. For a certain employee, this is equivalent to 8 percent salary increase. What was this employee's salary before the new contract?

1252 . A vegetable cart sells a potato for $0.24 and a tomato for $0.76. Fred bought 13 vegetables in total, he only bought potatoes and tomatoes. If fred paid $6.52 total, how many potatoes did he buy?

1253 . A very short-term creditor, such as a supplier who grants credit for only 30 days, is likely to be most interested in a firm's :

1254 . A wall 8m ling, 6 m high and 22.5 cm thick is made up bricks, each measuring 25 cm × 11.25 cm × 6 cm. The number of bricks required was

1255 . A watch gains 7 minutes and 6 seconds every 6 days. if the rate of gain is constant, how much does the watch gain in one day?

1256 . A water reservoir is 1/5th full and requires 20 liters more to make it 3/5th full. What is the capacity of the reservoir (in liters)?

1257 . A Water reservoir is 1/5th full and requires 20 liters more to make it 3/5th full. What is the capacity of the reservoir ?

1258 . A water tank can be filled by two pipes A and B in 60 minutes and 40 minutes respectively. How many minutes will it take to fill the tankfrom empty state if B is used for half the time , and A B fill it together for the other half?

1259 . A water tank has two taps (Tap-1 and Tap-2) . Tap -1 can fill a tank in 8 hours and Tap-2 can empty the tank in 16 hours . How long will they take to fill the tank if both taps are opened simultaneously but Tap-2 is closed after 8 hours ?

1260 . A water tank is 5/8th full. When 100 gallons of water is used the tank is half full. What is the capacity of the water tank?

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