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The figure above represents a rectangular tank. How many cubic centime

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The figure above represents a rectangular tank. How many cubic centime [#permalink]

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New post 02 Jun 2016, 11:24
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65% (01:03) correct 35% (01:01) wrong based on 86 sessions

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The figure above represents a rectangular tank. How many cubic centimeters of water are in the tank when the water level is 10 centimeters below the top of the tank?

(A) 12,672,000
(B) 13,824,000
(C) 126,720,000
(D) 138,240,000
(E) 1,267,200,000

[Reveal] Spoiler:
Attachment:
Untitled.png
Untitled.png [ 17.46 KiB | Viewed 1187 times ]
[Reveal] Spoiler: OA

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Re: The figure above represents a rectangular tank. How many cubic centime [#permalink]

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New post 02 Jun 2016, 11:35
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felippemed wrote:
Image

The figure above represents a rectangular tank. How many cubic centimeters of water are in the tank when the water level is 10 centimeters below the top of the tank?

(A) 12,672,000
(B) 13,824,000
(C) 126,720,000
(D) 138,240,000
(E) 1,267,200,000

[Reveal] Spoiler:
Attachment:
Untitled.png

Dear felippemed,
I'm happy to respond. :-) This is a question crying out for estimation!

First, we will estimate: it's about 1000 x 1000 x 100, which would be 100,000,000. Choices (A) & (B) are way to small, and choice (E) is way too big, but (C) & (D) are plausible. Right away, if we were shoot on time, we could guess from the two remaining answers, and our odds of advancing would be excellence.

Do not, do not, do not under any circumstances perform the multiplication. Here's another trick. Look at the final digit of each factor: 2 in the hundreds place, 6 in the tens place, and 1 in the tens place. Multiply these: we get 12, or in other words, a final digit of 2 in the ten thousands place. From this, we immediately see that the answer must be (C), not (D).

Does all this make sense?

Mike :-)
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Re: The figure above represents a rectangular tank. How many cubic centime [#permalink]

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New post 02 Jun 2016, 11:37
felippemed wrote:
Image

The figure above represents a rectangular tank. How many cubic centimeters of water are in the tank when the water level is 10 centimeters below the top of the tank?

(A) 12,672,000
(B) 13,824,000
(C) 126,720,000
(D) 138,240,000
(E) 1,267,200,000

[Reveal] Spoiler:
Attachment:
Untitled.png


cubic centimeters of water that are in the tank when the water level is 10 centimeters below the top of the tank
= 1200 * 960 * (120-10)
=12* 96 * 10^3 * 110
=1152*11 * 10^4
=12672 * 10^4

Answer C
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Re: The figure above represents a rectangular tank. How many cubic centime [#permalink]

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New post 02 Jun 2016, 11:52
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felippemed wrote:
Image

The figure above represents a rectangular tank. How many cubic centimeters of water are in the tank when the water level is 10 centimeters below the top of the tank?

(A) 12,672,000
(B) 13,824,000
(C) 126,720,000
(D) 138,240,000
(E) 1,267,200,000

[Reveal] Spoiler:
Attachment:
Untitled.png


So We can say for this Rectangular ( Cuboidal Shape )

Height = 110 cm
Length = 1200 cm
Breadth = 960 cm

Now , count the number of zeroes ( 4 in this case ) =====> Possible answer options (C) and (D)

Next find the last non zero digit , in this case it will be -

1 x 2 x 6 => 2 =====> Possible answer options (A) , (C) and (D)

Now combine those answer choice (C) is correct....


Hope this helps !!

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Re: The figure above represents a rectangular tank. How many cubic centime [#permalink]

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Re: The figure above represents a rectangular tank. How many cubic centime   [#permalink] 12 Aug 2017, 00:36
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