Explanation

0.232323....=0.23

Let x=0.23                 ---- ( 1 )

Multiplying both sides by 100 we get,

⇒  100x=23.23         ---- ( 2 )

Subtracting ( 1 ) from ( 2 ) we get,

⇒  100x−x=23.23−0.23

⇒  99x=23

∴  x=9923​

∴   Required fraction is 9923​.

Explanation

Initial situation: 200 men have enough food for 60 days.

Reduced situation: 160 men (40 fewer men than initially).

Since there are fewer men, the food will last longer. To find out how long, we can set up a proportion:

200 men / 160 men = 60 days / x days

Where x is the number of days the food will last with 160 men.

Cross-multiplying and solving for x:

200x = 60 × 160

200x = 9600

x = 9600 ÷ 200

x = 75

So, the food will last 75 days if the number of men in the camp is reduced to 160.

Explanation

12 men=15women

1man=(15/12)=(5/4) women

7 men=35/4 women

(35/4+5 )=55/4

15 women=14 days

55/4 women=(15*14*4)/55= 168/11 days

Explanation

P1 = Rs.800

P2 = Rs.400

Time = 2 years

Difference in S.I. = Rs.40

Formula used:

S.I. = (PRT)/100

Calculation:

(P1RT)/100 – (P2RT)/100 = 40

⇒ RT(800 – 400) = 4000

⇒ R = 4000/800

⇒ R = 5%

∴ The rate of simple interest is 5%.

Explanation

log5​512=log5log512​
=log(10/2)log29​
=log10−log29log2​
=1−0.30109×0.3010​
=0.6992.709​
=6992709​
=3.876

Explanation

C for each week
S students
how many weeks will X last?
let the number of weeks be W.
for each week, there will be X/W cans of soup.

Each student will take C cans of soup
So S students will take SC cans
we know X/W = SC
W= X/SC

Explanation

Cut Select Cut or press Ctrl + X.

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Explanation

Numeric Pad is in Keyboard.

It is a section on the right side of a standard keyboard that contains numbers and arithmetic operators for quick data entry.

Explanation

The software to view HTML documents as a Web page is called a Web browser.

Popular ones are Google Chrome, Apple's Safari, Mozilla's Firefox, Opera and Microsoft's much hated Internet Explorer.

Explanation

B1*17 is incorrect because it mixes a cell reference (B1) with a direct number (17) in an improper way for a formula. 

Correct formulas should maintain consistent use of cell references or operators.