The ratio between the three angles of a quadrilateral is 13 : 9 : 5 respectively. The value of the fourth angle of the quadrilateral is 36∘C. What is the difference between the largest and the second smallest angles of the quadrilateral?

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The ratio between the three angles of a quadrilateral is 13 : 9 : 5 respectively. The value of the fourth angle of the quadrilateral is 36∘C. What is the difference between the largest and the second smallest angles of the quadrilateral?

A104°

B 108°

C72°

D 96°

Nithin ? Aug 14 '2022 at 10:10

Corect answre is: 96°

Explanation:

Let the three angles of quadrilateral be

\(13x^∘, 9x^∘,\text{ and }5x^∘ \text{ respectively.}\)

\(\text{Therefore, } 13x + 9x + 5x = 360 - 36\)

\(\implies 27x = 324 \implies x = \frac{324}{27} =12\)

Therefore, Required difference

\(=13x - 5x = 8x = 8\times \text{12 }= 96^∘\)

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The largest and the second largest angles of a triangle are in the ratio of 4 : 3 respectively. The smallest angle is half the largest angle. What is the difference between the smallest and the largest angles of the triangle?

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The largest and the second largest angles of a triangle are in the ratio of 4 : 3 respectively. The smallest angle is half the largest angle. What is the difference between the smallest and the largest angles of the triangle?

A30°

B60°

C40°

D20°

Nithin ? Aug 13 '2022 at 21:46

Correct answer is: 40°

Explanation:

The smallest angle of triangle is half of the largest angle.

Therefore, Ratio of three angles = 4 : 3 : 2

 

Now, 4x + 3x + 2x = \(180^o\)

\(\implies 9x = 180 \implies x = 20\)

Therefore, Required difference = 4x - 2x = 2x = \(\Large 2 \times 20 = 40^o\)

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Kumar purchased an item for Rs.46,000 and sold it at a loss of 12 per cent. With that amount, she purchased another item and sold it at a gain of 12 per cent. What was her overall gain/loss?

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Kumar purchased an item for Rs.46,000 and sold it at a loss of 12 per cent. With that amount, she purchased another item and sold it at a gain of 12 per cent. What was her overall gain/loss?

A Loss of Rs.662.40

B Profit of Rs.662.40

CLoss of Rs.642.80

D Profit of Rs.642.80

nithin ? Aug 1 '2022 at 21:48

Correct answer is:  Loss of Rs.662.40

Explanation:

From the question

CP = 46000

Loss = 12%

∴ SP = 46000 - 12% of 46000 = 40480

Now new CP = 40480

Given that Profit = 12%

∴ SP = 40480 + 12% of 40480 = 45337.6

∴ 46000 - 45337.6 = 662.4 loss

Hence option (a) is the answer.

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A 280 metre long train moving with an average speed of 108 km/hr crosses a platform in 12 seconds. A man crosses the same platform in 10 seconds. What is the speed of the man in metre/ second ?

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A 280 metre long train moving with an average speed of 108 km/hr crosses a platform in 12 seconds. A man crosses the same platform in 10 seconds. What is the speed of the man in metre/ second ?

A5 m/s

B8 m/s

C12 m/s

DCannot be determined

Akilesh Kharvi ? May 24 '2020 at 9:58

Correct answer is: 8 m/s

Explanation:

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The ratio between the speed of a bus and train is 15 : 27 respectively. Also, a car covered a distance of 720 km. in 9 hours. The speed of the bus is three-fourth of the speed of the car. How much distance will the train cover in 7 hours ?

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The ratio between the speed of a bus and train is 15 : 27 respectively. Also, a car covered a distance of 720 km. in 9 hours. The speed of the bus is three-fourth of the speed of the car. How much distance will the train cover in 7 hours ?

A760 km.

B756 km.

C740 km.

DCannot be determined

Akilesh Kharvi ? May 24 '2020 at 9:43

Correct answer is: 756 km.

Explanation:

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