The respective ratio between the present age of Ram, Rohan and Raj is 3 : 4 : 5, If the average of their present age is 28 years then what would be the sum of the age of Ram and Rohan together after 5 years?

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The respective ratio between the present age of Ram, Rohan and Raj is 3 : 4 : 5, If the average of their present age is 28 years then what would be the sum of the age of Ram and Rohan together after 5 years?

A45 years

B55 years

C52 years

D59 years

Nithin ? undefined

Corrent answer is: 59 years

Explanation:

Let the present age of Ram. Rohan and Raj be 3x, 4x and 5x years respectively.

\(3x + 4x + 5x = 3×28\)

\(= 12x = 84 \implies x = \frac{84}{12}=7\)

Sum of the age of Ram and Rohan after 5 years

\(= 3x + 4x + 10 = 7x + 10\)

\(= 7×7+10 = \text{59 years}\)

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The smallest angle of a triangle is equal to two thirds of the smallest angle of a quadrilateral. The ratio between the angles of the quadrilateral is 3:4:5:6. The largest angle of the triangle is twice its smallest angle. What is the sum, in degrees, of the second largest angle of the triangle and the largest angle of the quadrilateral?

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The smallest angle of a triangle is equal to two thirds of the smallest angle of a quadrilateral. The ratio between the angles of the quadrilateral is 3:4:5:6. The largest angle of the triangle is twice its smallest angle. What is the sum, in degrees, of the second largest angle of the triangle and the largest angle of the quadrilateral?

A160°

B 180°

C190°

D 170°

Nithin ? Aug 13 '2022 at 21:14

Correct answer is: 180°

Explanation:

Sum of the angles of a quadrilateral  = 360

Therefore, \(3x + 4x + 5x + 6x = 360\)

\(\implies 18x = 360\)

\(\implies x = \frac{360}{18}= 20\)

Therefore, smallest angle of quadrilateral \( = 3×20 = 60\)
 Largest angle of quadrilateral \(= 6×20 = 120\)

Therefore, smallest angle of triangle \(= 60× \frac{2}{3}=40\)

Largest angle of triangle \(= 2×40 = 80\)

Therefore, third angle of triangle \(= 180−40−80=60\)

Required sum \(= 60 +120 = 180\)

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Seema purchased an item for Rs.9,600 and sold it for a loss of 5 percent. From that money she purchased another item and sold it for a gain of 5 percent. What is her overall gain/loss?

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Seema purchased an item for Rs.9,600 and sold it for a loss of 5 percent. From that money she purchased another item and sold it for a gain of 5 percent. What is her overall gain/loss?

ALoss of Rs.36

BProfit of Rs.24

CLoss of Rs.54

DNone of these

Nithin ? Aug 1 '2022 at 20:12

Correct answer is: None of these

Explanation:

\(\text{First S.P. = }\Large \frac{9600 \times 95}{100} \)

\(\text{= Rs. 9120}\)

\(\text{Second S.P. = }\Large \frac{9120 \times 105}{100} \)

\(\text{= Rs. 9576}\)

\(\text{Therefore, Loss = }\Large \left(9600 - 9576\right)\)

\(\text{= Rs. 24}\)

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The sum of 8 consecutive odd numbers is 656. Also average of four consecutive even numbers is 87. What is the sum of the smallest odd number and second largest even number ?

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The sum of 8 consecutive odd numbers is 656. Also average of four consecutive even numbers is 87. What is the sum of the smallest odd number and second largest even number ?

A165

B175

C163

DCannot be determined

Nithin K ? May 23 '2017 at 19:16

Answer is :  163

Explanation:

x + x + 2 + x + 4 + x + 6 + x + 8 + x + 10+ x + 12 + x + 14 = 656

 8x + 56 = 656

 8x = 600

\( x = \frac{600}{8} = 75\)

and,

x + x + 2 + x + 4 + x + 6 = 87 × 4

\(=>4x + 12 = 348\)

\(=> 4x = 336\)

\(\implies x = \frac{336}{4} = 84\)

Required sum = 75 + (84 + 4) = 163

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A 320 metre long train moving with an average speed of 120 km/hr crosses a platform in 24 seconds. A man crosses the same platform in 4 minutes. What is the speed of man in metre/second ?

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A 320 metre long train moving with an average speed of 120 km/hr crosses a platform in 24 seconds. A man crosses the same platform in 4 minutes. What is the speed of man in metre/second ?

A2.4

B 1.5

C1.6

D 2.0

Akilesh Kharvi ? May 24 '2020 at 9:32

Correct answer is: 2.0

Explanation:

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