1291 . A truck driver must complete a 180-mile trip in 4 hours. If he averages 50 miles an hour for the first three hours of his trip, how fast must he travel in the final hour?

A. 30 mph
B. 45 mph
C. 35 mph
D. 40 mph

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Answer: Option A

Explanation:

d = s x t

= 50 x 3

= 150

now distance left

= 180 - 150

= 30

thus he need s to travel 30 miles in 4th hour thus his speed should be 30 miles per hour

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1292 . A truck driver must complete a 180-mile trip in 4 hours. If his average speed is 50 miles per hour for the first 3 hours, then how fast must he travel for the final hour ?

A. 25
B. 35
C. 40
D. 30

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Answer: Option D

Explanation:

d = s x t

= 50 x 3

= 150

now distance left

= 180 - 150

= 30

thus he need s to travel 30 miles in 4th hour thus his speed should be 30 miles per hour

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1293 . A twice as good a workman as B and together they finish a piece of work in 14 days. The number of days taken by A alone to finish the work is:

A. 42
B. 11
C. 21
D. 28

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Answer: Option C

Explanation:

Let's denote the amount of work done by A in one day as "x" and the amount of work done by B in one day as "y."

According to the given information, A is twice as good a workman as B. This means that A can do twice the amount of work in a day as B. So, we can write:

x = 2y

Now, let's consider their combined work rate. Together, A and B can finish a piece of work in 14 days. Therefore, their combined work rate is:

(x + y) = 1/14

We already know that x = 2y, so we can substitute this into the equation:

(2y + y) = 1/14

Now, combine the terms on the left side:

3y = 1/14

To find y, the work rate of B in one day, divide both sides by 3:

y = (1/14) / 3 y = 1/42

Now that we know the work rate of B, we can find the work rate of A by using the relationship x = 2y:

x = 2 * (1/42) x = 2/42 x = 1/21

Now, we have found that A can complete 1/21 of the work in one day. To find out how many days A alone would take to finish the work, take the reciprocal of A's work rate:

Number of days taken by A alone = 1 / (1/21) = 21

So, A alone would take 21 days to finish the work.

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1294 . A two -digit number is such that the product of the digits is 8. when 18 is added to the number , then the digits are reversed. what is the number?

A. 18
B. 24
C. 42
D. 81
E. None of these

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Answer: Option B

Explanation:

Quickly add 18 to the given answer

24 + 18 = 42 digits are reversed.

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1295 . A two-digit number becomes five-sixth of itself when its digits are reversed . The two digits differ by one. What is the number ?

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

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Answer: Option B

Explanation:

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1296 . 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

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1297 . 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

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1298 . 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.

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1299 . 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

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1300 . 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.

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1301 . 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.)

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1302 . 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:

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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.

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1304 . 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:

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First Security Islami Bank Ltd | Probationary Officer | 19-02-2021

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

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1291 . A truck driver must complete a 180-mile trip in 4 hours. If he averages 50 miles an hour for the first three hours of his trip, how fast must he travel in the final hour?

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1292 . A truck driver must complete a 180-mile trip in 4 hours. If his average speed is 50 miles per hour for the first 3 hours, then how fast must he travel for the final hour ?

1293 . A twice as good a workman as B and together they finish a piece of work in 14 days. The number of days taken by A alone to finish the work is:

1294 . A two -digit number is such that the product of the digits is 8. when 18 is added to the number , then the digits are reversed. what is the number?

1295 . A two-digit number becomes five-sixth of itself when its digits are reversed . The two digits differ by one. What is the number ?

1296 . A two-digit number becomes five-sixth of itself when its digits are reversed. Two digits differ by one. The number is :

1297 . 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?

1298 . 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?

1299 . 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?

1300 . 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?

1301 . 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?

1302 . 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?

1303 . 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 :

1304 . 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

1305 . 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?

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