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:

In the question two statements are given, followed by two conclusions, I and II. You have to consider the statements to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.

Statement I:  All bins are baskets

Statement II:  No buckets are bins

Conclusion I:  All baskets are buckets

Conclusion II:  All buckets are baskets

 A) Only conclusion I follows B) Only conclusion II follows C) Both conclusions I and II follow D) Neither conclusion I nor conclusion II follows

Answer & Explanation Answer: D) Neither conclusion I nor conclusion II follows

Explanation:

1 277
Q:

The average of five consecutive even numbers is 40. What is the value of smallest of these numbers?

 A) 35 B) 36 C) 44 D) 48

Explanation:

0 598
Q:

Select the odd word/letters/number/number pair from the given alternatives.

 A) 81 B) 125 C) 64 D) 198

Explanation:

1 837
Q:

Expand and simplify

 A) 13x3 + 92x2 -­ 55x + 4 B) 13x3 -­ 92x2 -­ 55x -­ 4 C) 13x3 + 92x2 + 55x -­ 4 D) 13x3 -­ 92x2 + 55x + 4

Answer & Explanation Answer: C) 13x3 + 92x2 + 55x -­ 4

Explanation:

1 807
Q:

A cone is hollowed out of a solid wooden cube of side 7 cm. The diameter and height of the cone is same as the side of the cube. What is the volume of the remaining cube?

 A) 253.17 cubic cms B) 228.84 cubic cms C) 143.26 cubic cms D) 257.68 cubic cms

Explanation:

0 662
Q:

Reflection of the point (2,-4) in the origin is

 A) (2,4) B) (-2,-4) C) (2,-4) D) (-2,4)

Explanation:

1 817
Q:

By increasing the price of entry ticket to a fair in the ratio 5:7, the number of visitors to the fair has decreased in the ratio 11:9. In what ratio has the total collection increased or decreased?

 A) increased in the ratio 55:63 B) decreased in the ratio 63:55 C) increased in the ratio 45:77 D) decreased in the ratio 77:45

Explanation:

0 806
Q:

Asif is twice as good as workman as Bashir and together they finish a piece of work in 30 days. In how many days will Asif alone finish the work?

 A) 90 B) 45 C) 60 D) 75