Find the appropriate relation for quantity 1 and quantity 2 in the following question:

 

An artificial kund is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the kund at the same time during which the kund is filled by the third pipe alone. The second pipe fills the kund 5 hours faster than the first pipe and 4 hours slower than the third pipe.

Quantity 1: The time required by the first pipe?

Quantity 2: Time taken by all three pipes to fill the Kund simultaneously

What smallest number should be added to 2401 so that the sum is completely divisible by 14 ?

What is the altitude of an equilateral triangle whose side is 12 cm?

If a + a2 + a3 – 1 = 0, then what is the value ofa3 + (1/a)?

If x + (1/x) = (√3 + 1)/2, then what is the value of x4 + (1/x4)?

What is the value of √121 + √12321 + √1234321 + √123454321?

A, B and C invest to start a restaurant. The total investment was Rs 3 lakhs. B invested Rs 50,000 more than A and C invested Rs 25,000 less than B. If the profit at the end of the year was Rs 14,400 then what is C's share of the profit (in Rs)?

In the given figure, CD and AB are diameters of circle and AB and CD are perpendicular to each other. LQ and SR are perpendiculars to AB abd CD respectively. Radius of circle is 5 cm, PB : PA = 2 : 3 and CN: ND = 2 : 3. What is the length (in cm) of SM ?

α and β are the roots of the quadratic equation x2 – x – 1 = 0. What is the value of α8 + β8?