1276 . A Triangle has a perimeter 13. The two shorter sides have integer lengths equal to x and x + 1. Which of the following could be length of the other side?

A. 3
B. 4
C. 10
D. 6

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Answer: Option D

Explanation:

We know that the sum of the lengths of the shorter sides has to be more than the length of the longer one.

Looking at the options, we can't have 8 as the value for the longest side because then this side would be greater than the sum of the other two sides.

Similarly, we can't have 2 or 4 as values for the longest side as it wouldn't be the longest side then.

The correct answer is 6 here, where the other sides are 3 & 4.

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1277 . A triangle has a perimeter of 36 centimeters. If the length of each side is increased by 50, the new perimeter will be?

A. 60 cm
B. 44 cm
C. 54 cm
D. 72 cm

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Answer: Option C

Explanation:

A 50% increase in the side lengths will result in a 50% increase in the perimeter as well. S, the new perimeter of the triangle = 36 + 50% of 36 = 36 + 18 = 54 cm

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1278 . A triangular plot with sides of 25 feet, 40 feet and 55 feet is to surround by a fence built on pillars set 5 feet apart. How many pillars will be required to surround the plot?

A. 60 meter
B. 54 meter
C. 48 meter
D. 50 meter

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Answer: Option D

Explanation:

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1279 . A truck covers a distance of 550 metres in 1 minute where as a bus covers a distance of 33 kms in 45 minutes. The ratio of their speeds is :

A. 3 : 4
B. 4 : 3
C. 3 : 5
D. 50 : 3

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Answer: Option A

Explanation:

In the case of truck

S = 550m/60 = 9.166 = 9 m/sec

In the case of Bus

S = ( 33×1000)m /( 45×60)sec = 12 m/sec

So the speed ratio of truck : Bus = 9 : 12 = 3 : 4

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1280 . A truck driver must be complete a 180-mile trip in 4 hours. If his average speed is 50 miles per hour for first 3 hours, then how fast must he travle 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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1281 . 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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1282 . 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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1283 . 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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1284 . 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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1285 . 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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1286 . 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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1287 . 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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1288 . 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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1289 . 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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1290 . 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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1276 . A Triangle has a perimeter 13. The two shorter sides have integer lengths equal to x and x + 1. Which of the following could be length of the other side?

1277 . A triangle has a perimeter of 36 centimeters. If the length of each side is increased by 50, the new perimeter will be?

1278 . A triangular plot with sides of 25 feet, 40 feet and 55 feet is to surround by a fence built on pillars set 5 feet apart. How many pillars will be required to surround the plot?

1279 . A truck covers a distance of 550 metres in 1 minute where as a bus covers a distance of 33 kms in 45 minutes. The ratio of their speeds is :

1280 . A truck driver must be complete a 180-mile trip in 4 hours. If his average speed is 50 miles per hour for first 3 hours, then how fast must he travle for the final hour?

1281 . 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?

1282 . 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 ?

1283 . 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:

1284 . 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?

1285 . A two-digit number becomes five-sixth of itself when its digits are reversed . The two digits differ by one. What is the number ?

1286 . A two-digit number becomes five-sixth of itself when its digits are reversed. Two digits differ by one. The number is :

1287 . 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?

1288 . 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?

1289 . 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?

1290 . 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?

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