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:

Three of the following four word-pairs are alike in a certain way and one is different. Pick the odd one out.

 A) Chisel : Sculptor B) Anvil : Blacksmith C) Paper : Book D) Scalpel : Surgeon

Explanation:

0 78
Q:

A certain sum is divided among A, B, C and D such that the ratio of the shares is A : B : C : D = 4 : 12 : 30 : 45. If the difference between the shares of A and D is ₹5,535, then the total sum (in ₹) is:

 A) 12785 B) 13550 C) 12285 D) 11000

Explanation:

0 77
Q:

Select the correct combination of mathematical signs that can sequentially replace the * signs and balance the equation.
512*32*9*100*6*25*2

 A) ÷, ×, +, =, −, × B) ÷, ×, +, −, =, × C) ÷, ×, −, +, =, × D) +, ×, ÷, =, −, ×

Explanation:

0 69
Q:

Select the option in which the numbers are related in the same way as are the numbers of the following set.

173 : 125 : 85

 A) 365 : 293 : 229 B) 285 : 221 : 135 C) 259 : 199 : 147 D) 293 : 228 : 171

Explanation:

0 208
Q:

If sqrt x + frac{1}{sqrt x} = 2sqrt2, then x^2 + frac{1}{x^2} is equal to:

 A) 36 B) 34 C) 32 D) 64

Explanation:

2 284
Q:

If a + b + c = 8 and ab + bc + ca = 20, then a^3 + b^3 + c^3 - 3abc is equal to:

 A) 30 B) 24 C) 32 D) 36

Explanation:

1 1747
Q:

The usual average speed of a car on a particular stretch of road is 75 km/hr. On a particular day, the average speed was 12% less than the usual, as a result of which the time taken was I S minutes more.

How long is the stretch of road, in kilometres?

 A) 155 B) 176 C) 165 D) 150

Explanation:

1 377
Q:

In an examination in which the full marks were 500, A scored 25% more marks than B, B scored 60% more marks than C and C scored 20% less marks than D. IfA scored 80% marks, then the percentage of marks obtained by is:

 A) 65% B) 60% C) 50% D) 54%