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 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

Explanation:
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0 489
Q:

Which of the following ratios can be the ratio of the sides of a right angled triangle?

A) 9:6:3 B) 13:12:5
C) 7:6:5 D) 5:3:2
 
Answer & Explanation Answer: B) 13:12:5

Explanation:
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0 569
Q:

To cover a certain distance with a speed of 60 km/hr, a train takes 15 hours. If it covers the same distance in 12 hours, what will be its speed?

A) 65 km/h B) 70 km/h
C) 75 km/h D) 80 km/h
 
Answer & Explanation Answer: C) 75 km/h

Explanation:
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0 591
Q:

If a triangle has its orthocenter and centroid of equal length, then which of the following is TRUE about the triangle?

A) Right angled B) Equilateral
C) Scalene D) Obtuse angled
 
Answer & Explanation Answer: B) Equilateral

Explanation:
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0 691
Q:

From a point on a bridge across the river, the angles of depression of the banks on opposite sides of the river are 30° and 45° respectively. If the bridge is at a height of 2.5m from the banks, then the width of the river is (take √3 = 1.732)

A) 5.83m B) 6.83m
C) 5.76m D) 6.87m
 
Answer & Explanation Answer: B) 6.83m

Explanation:
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0 657
Q:

ΔABC is right angled at B. BD is an altitude. AD = 3 cm and DC = 9 cm. What is the value of AB (in cm)?

A) 6 B) 5
C) 4.5 D) 5.5
 
Answer & Explanation Answer: A) 6

Explanation:
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0 557
Q:

Find the odd word/letters/number from the given alternatives.

(A) BCE (B) WXZ (C) MNP (D) GHK

A) A B) B
C) C D) D
 
Answer & Explanation Answer: D) D

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0 5269
Q:

4*(-­0.1(5.5 + 8.5)) of 0.5 = ?

A) -2.8 B) -1.68
C) -1.28 D) -0.84
 
Answer & Explanation Answer: A) -2.8

Explanation:
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0 654