The angles of a quadrilateral are in ratio of 3 : 5 : 9 : 7. The second largest angle of the quadrilateral is equal to the largest angle of a triangle. One of the angles of the triangle is $25^∘$. What is the value-of second largest angle of the triangle?

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The angles of a quadrilateral are in ratio of 3 : 5 : 9 : 7. The second largest angle of the quadrilateral is equal to the largest angle of a triangle. One of the angles of the triangle is $25^∘$. What is the value-of second largest angle of the triangle?

A$60^∘$

B$50^∘$

C$40^∘$

D$20^∘$

Nithin ? undefined

Correct answer is: \(50^o\)

Explanation:

Sum of ratios = 3 + 5 + 9 + 7 = 24

Second largest angle of quadrilateral = \(\frac{7}{24} \times 360 = 105 ^{\circ}\)

Largest angle of triangle
Therefore, Third angle of triangle = \(\frac{7}{24} \times 360 = 105 ^{\circ}\)

\(=180 ^{\circ} - 105 ^{\circ} - 25 ^{\circ}\)

\(= 50^∘ = \text{second largest angle of triangle.}\)

 

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Cost of 4 fans and 3 blowers is Rs.16,500. Also cost of 2 fans. 2 tables and 2 blowers is Rs.12000. Cost of one table is Rs.1,000. What is the cost of 3 fans and one blower?

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Cost of 4 fans and 3 blowers is Rs.16,500. Also cost of 2 fans. 2 tables and 2 blowers is Rs.12000. Cost of one table is Rs.1,000. What is the cost of 3 fans and one blower?

ARs.8,000

BRs.7,500

CRs.8,500

DCannot be determined

Nithin ? Aug 10 '2022 at 22:10

Correct Answer is: Rs.8,000

Explanation:

Let C.P. of 1 fan = Rs.x

CP of 1 blower = Rs.y

CP of 1 table = Rs.1000 (given)

\(\therefore \Large 4x+3y = 16500\)

\(\Large 2x+2y+2 \times 1000 = 12000\)

=> 2x + 2y = 12000 - 2000 = 10000

=> x + y = 5000

Equation (ii) x 4 - (i),

y = 20000 - 16500 = 3500

=> x = 5000 - 3500 = 1500

\(\therefore 3x + y = \Large 3 \times 1500 + 3500\)

= Rs.8000

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A vendor sells calculators at the rate of Rs.250 each and earns a commission of 20% on each. He also sells pens at the rate of Rs.50 each and earns a commission of 10% on each. How much amount of commission will he earn in three days if he sells 10 calculators and 5 pens a day?

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A vendor sells calculators at the rate of Rs.250 each and earns a commission of 20% on each. He also sells pens at the rate of Rs.50 each and earns a commission of 10% on each. How much amount of commission will he earn in three days if he sells 10 calculators and 5 pens a day?

ARs.1,575

BRs.1,445

CRs.1,550

DRs.1,450

Nithin ? Aug 10 '2022 at 20:35

Correct answer is: Rs.1,575

Explanation:

Commission on 1 calculator

\(=\Large \frac{250 \times 20}{100} = \text{ Rs 50}\)

Commission on 1 pen

\(=\Large \frac{50 \times 10}{100} = \text{Rs 5}\)

Therefore, Required amount of commission

\(=\text{Rs }\Large 3 \left(10 \times 5 + 5 \times 5\right)\)

= Rs.1575

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The sum of seven consecutive even numbers of a set is 532. What is the average of first four consecutive even numbers of the same set ?

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The sum of seven consecutive even numbers of a set is 532. What is the average of first four consecutive even numbers of the same set ?

A76

B75

C74

D73

Akilesh Kharvi ? Jun 28 '2020 at 21:21

Correct anwer is: 73

Explanation:

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Train-A crosses a pole in 33 seconds and another Train-B crosses a pole in 55 seconds. Length of Train-A is three-fourth of Train-B. What is the respective ratio between the speed of Train-A and Train-B ?

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Train-A crosses a pole in 33 seconds and another Train-B crosses a pole in 55 seconds. Length of Train-A is three-fourth of Train-B. What is the respective ratio between the speed of Train-A and Train-B ?

A5 : 11

B5 : 4

C11 : 3

DCannot be determined

akilesh kharvi ? Jun 13 '2020 at 18:0

Correct answer is: 5 : 4

Explanation:

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