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:

The angles of depression of two ships from the top of a light house are 60° and 45° towards east. If the ships are 300 m apart, the height of the light house is

A) 200(3+√3) meter B) 250(3+√3) meter
C) 150(3+√3) meter D) 160(3+√3) meter
 
Answer & Explanation Answer: C) 150(3+√3) meter

Explanation:
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0 567
Q:

The simplified value of 3-212-18 - 13 × 27 - 12 x 273 is closest to

A) (√3 - 1) B) (1 - √3)
C) - (-√3 - 1) D) - (√3 + 1)
 
Answer & Explanation Answer: D) - (√3 + 1)

Explanation:
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0 634
Q:

Three runners A,B and C run a race, with runner A finishing 12 meters ahead of runner B and 18 meters ahead of runner C, while runner B finishes 8 meters ahead of runner C. Each runner travels the entire distance at a constant speed. The length of the race is

A) 36 Metres B) 48 Metres
C) 60 Metres D) 72 Metres
 
Answer & Explanation Answer: B) 48 Metres

Explanation:
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0 559
Q:

What is the effective discount (in %) on two successive discounts of 20% and 10%?

A) 30 B) 32
C) 35 D) 28
 
Answer & Explanation Answer: D) 28

Explanation:
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0 478
Q:

The ratio of angles of a triangle are 1 : 2/3 : 3. Then the smallest angle is

A) 21 4/7° B) 25°
C) 25 5/7° D) 38 4/7°
 
Answer & Explanation Answer: C) 25 5/7°

Explanation:
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0 502
Q:

If tan (5x ­- 10°) = cot (5y + 20°), then the value of x + y is

A) 15° B) 16°
C) 22.5° D) 24°
 
Answer & Explanation Answer: B) 16°

Explanation:
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1 560
Q:

The successive discount of 15%, 20% and 25% on an article is equivalent to the single discount of

A) 60% B) 47%
C) 49% D) 40%
 
Answer & Explanation Answer: C) 49%

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0 519
Q:

A car takes 5 hours to cover 100 kms distance at a particular speed whereas another car takes 3 hours to reach a particular distance at the same speed. Find the distance.

A) 40 km B) 60 km
C) 70 km D) 80 km
 
Answer & Explanation Answer: B) 60 km

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0 501