The ratio between the three angles of a quadrilateral is 1 : 6 : 2 respectively. The value of the fourth angle of the quadrilateral is $45^∘$. What is the difference between the value of the largest and the smallest angles of the quadrilateral?

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The ratio between the three angles of a quadrilateral is 1 : 6 : 2 respectively. The value of the fourth angle of the quadrilateral is $45^∘$. What is the difference between the value of the largest and the smallest angles of the quadrilateral?

A$165^∘$

B $140^∘$

C$175^∘$

D$150^∘$

Nithin ? Aug 13 '2022 at 12:6

Correct answer is: \(175^∘\)

Explanation:

Sum of the angles of quadrilateral = \(\Large 360 ^{\circ}\)

\(\implies x + 6x + 2x + 45 = 360\)

\(\implies 9x = 360 - 45 = 315 \)

\(\implies x = \Large \frac{315}{9} =35\)

Therefore, Required difference = \(6x - x = 5x\)

\(= \Large 5 \times 35 - 175 ^{\circ}\)

\(= \Large 175 ^{\circ}\)

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Twenty five percent of Pranab’s annual salary is equal to eighty percent of Surya’s annual salary. Surya’s monthly salary is forty percent of Dheeru’s monthly salary. If Dhreeu’s annual salary is Rs 6 lacs, what is Pranab’s monthly salary ? (At some places annual income and in some place monthly income are given)

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Twenty five percent of Pranab’s annual salary is equal to eighty percent of Surya’s annual salary. Surya’s monthly salary is forty percent of Dheeru’s monthly salary. If Dhreeu’s annual salary is Rs 6 lacs, what is Pranab’s monthly salary ? (At some places annual income and in some place monthly income are given)

ARs 7.68 lacs

BRs 56,000

CRs 8.4 lacs

D Rs 64,000

Nithin ? Aug 13 '2022 at 11:52

Correct answer is: Rs 64,000

Explanation:

\(\text{Dhreeu’s monthly salary} = \frac{6,00,000 }{12}= \text{Rs. 50,000}\)

\(\text{Surya’s monthly salary} = 50,000 \times \frac{40}{100} = \text{Rs. 20,000}\)

\(\text{Pranab’s monthly salary} = 20,000 \times \frac{80}{25} = \text{Rs. 64,000}\)

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The largest and the second largest angles of a triangle are in the ratio of 13 : 12 respectively. The smallest angle is 20% of the sum of the largest and the second largest angles. What is the sum of the smallest and the second largest angles ?

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The largest and the second largest angles of a triangle are in the ratio of 13 : 12 respectively. The smallest angle is 20% of the sum of the largest and the second largest angles. What is the sum of the smallest and the second largest angles ?

A$120^°$

B $108^°$

C$100^°$

D$102^°$

Nithin ? Aug 13 '2022 at 11:9

Correct answer is: \(102^°\)

Explanation:

Smallest angle

\(= (13+12)\times\frac{20}{100}=5\)

Ratio of angles = 13 : 12: 5

Sum of smallest and second largest angles

\(=\frac{180 \times(12 +5)}{(13+12+5)}\)

\(=\frac{180 \times 17}{30}\)

\(= 102^o\)

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Seema’s present age is four times her son’s present age and four-seventh of her father’s present age. The average of the present ages of all three of them is 32 years. What is the difference between the Seema’s son’spresent age and Seema’s father’s presentage ?

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Seema’s present age is four times her son’s present age and four-seventh of her father’s present age. The average of the present ages of all three of them is 32 years. What is the difference between the Seema’s son’spresent age and Seema’s father’s presentage ?

A44 years

B48 years

C46 years

DCannot be determined

Nithin K ? May 21 '2017 at 21:23

Answer is 48 years

Explanation:   

Let Seema’s son’s present age = x years

\(\therefore\) Seema’s present age = 4x years

Seema’s husband’s present age

\(= 4x ×\frac{7}{4} = 7x \text { years}\)

\(\therefore x + 4x + 7x = 32 × 3\)

\(=>12x = 96\)   \(=>x = \frac{96}{12}= 8\)

\(\therefore \) Required difference

= 7x - x = 6x

= 6 × 8 = 48 years

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Train-A crosses a stationary train B in 35 seconds and a pole in 14 seconds with the same speed. The length of the train-A is 280 metres. What is the length of the stationary train-B ?

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Train-A crosses a stationary train B in 35 seconds and a pole in 14 seconds with the same speed. The length of the train-A is 280 metres. What is the length of the stationary train-B ?

A360 metres

B480 metres

C420 metres

DCannot be determined

akilesh kharvi ? May 24 '2020 at 8:15

Correct answer is: 420 metres

Explanation:

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