2
Q:

# 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

 A) Quantity 1 > Quantity 2 B) Quantity 1 ≥ Quantity 2 C) Quantity 1 < Quantity 2 D) Quantity 1 ≤ Quantity 2

Answer:   A) Quantity 1 > Quantity 2

Explanation:

Quantity 1:
Let the first pipe alone takes x hours to fill the
tank.
⇒The second and third pipes will take (x-5) and
(x-9) hours respectively.
According to the given information:
∴ $1x-9$

⇒ (x-9)(2x-5) = x2 – 5x
⇒ 2x2 – 5x – 18x + 45 = x2 – 5x
⇒ x
2 -18x + 45 = 0
⇒ (x-15) (x-3) = 0
⇒ x = 15, 3

The first pipe can take 15 hours to fill the kund.
∵ 3 hours doesn’t satisfy the statement.
Quantity 2:
∴ Time taken by second pipe = x-5
⇒ Time taken by second pipe = 15-5 = 10hours
∴ Time taken by third pipe = x -9
⇒ Time taken by third pipe = 15- 9 = 6 hours
Now,

Net part filled in 1 hour = $115+110+16$
⇒ Net part filled in 1 hour = $4+6+1060$
⇒Net part filled in 1 hour = $2060=13$
∴The Kund will be full in 3/1 hours if all the pipes are opened simultaneously
Now, comparing
15 > 3
Thus, Quantity 1 > quantity 2

Q:

A circle is inscribed in a triangle ABC .It touches sides AB, BC and AC at points P, Q and R respectively. If BP = 9 cm, CQ = 10 cm and AR = 11 cm, then the perimeter (in cm)of the triangle ABC is:

 A) 72.5 B) 57.5 C) 60 D) 75

Explanation:

0 6
Q:

The given Bar Graph presents the Imports and Exports of an item (in tonnes) manufactured by a company for the five financial years, 2013-2014 to 2017-2018. In which financial year the percentage increase in Imports is the highest in comparison to its previous financial year?

 A) 2014-2015 B) 2015-2016 C) 2016-2017 D) 2017-2018

Explanation:

0 5
Q:

A certain amount invested at a certain rate, compounded annually, grows to an amountin five years, which is a factor of 1.191016 more than to whatit would have grown in two years. Whatis the rate percentage?

 A) 6 B) 4 C) 5 D) 8

Explanation:

0 5
Q:

If a 10-digit number 6220x558y2 is divisible by 88, then the value of (5x + 5y) can be:

 A) 45 B) 25 C) 55 D) 20

Explanation:

0 14
Q:

The given Bar Graph presents the Imports and Exports of an item (in tonnes) manufactured by a company for the five financial years, 2013-2014 to 2017-2018. What is the ratio of total Imports to total Exports during the five financial years ?

 A) 4175: 4011 B) 4011: 4175 C) 3073: 3199 D) 3199: 3073

Explanation:

0 6
Q:

The given Bar Graph presents the Imports and Exports of an item (in tonnes) manufactured by a company for the five financial years, 2013-2014 to 2017-2018. What is the average of Export (in tonnes) during the five financial years ?

 A) 1279.5 B) 1552.4 C) 1025.9 D) 1279.6

Explanation:

0 49
Q:

There was 25% off on bags. A lady bought a bag and got additional 20% discount for paying in cash. She paid ₹480. What was the price tag (in ₹) on the bag?

 A) 950 B) 825 C) 800 D) 750

Explanation:

1 162
Q:

What is the area of a rhombus(in cm ) whose side is 20 cm and one of the diagonals is 24 cm ?

 A) 396 B) 392 C) 350 D) 384