Exams

A Temper.

Given Dileep and Narender started a business.

Dileep invested 8000 for 12 months

Let Narender invested 'p' for 6 months

At the end of the year, their profit ratio is 1 : 1.

Hence,

8000 x 12 : p x 6

p : 16000

p/16000 = 1/1

=> p = 16,000

Hence, Narender invested amount is Rs. 16,000.

Let the two digits be x & y

From given data in the question, we get

x + y = 3(x - y)

x + y = 3x - 3y

=> 2x = 4y

x/y = 2/1

For having the 2:1, numbers satisfying are

12, 21, 24, 42, 36, 63, 48, 84

From this 36 is eleminated because it is a perfect square and no others are prime or perfect squares.

Hence, there exists 7 such 2-digit numbers => 12, 21, 24, 42, 63, 48, 84.

Charles Macintosh (29 December 1766 – 25 July 1843) was a Scottish chemist and inventor of waterproof fabrics.He devoted all his spare time to science, particularly chemistry, and before he was twenty resigned his clerkship to take up the manufacture of chemicals. In this he was highly successful, inventing various new processes. His experiments with one of the by-products of tar, naphtha, led to his invention of waterproof fabrics.

Yes, you are requested to write an essay as part of your TOEFL iBT exam. There are 5 major types for TOEFL essay topics. They are:

1. Agree or Disagree

2. Preference

3. Description / Explanation

4. If / Imaginary

5. Compare & Contrast

The best way to prepare for this essay writing is to understand the writing style clearly. To understand the the genre, you can refer some sample essays submitted before by different contestants. You can get such sample TOEFL essays from various sources such as TOEFL training websites, cheap essay writing service sites, online libraries, etc. Once you are well aware of the writing pattern the next thing is to practice writing random essays. Keep in mind that you should practice writing essays of all above mentioned 5 types. If you make it a routine to write random essays, gradually you can compete at higher level to write the given essay topic for your TOEFL iBT exam.

Let C.P.= Rs. 100.
Then, Profit = Rs. 320,
S.P. = Rs. 420.

New C.P. = 125% of Rs. 100 = Rs. 125
New S.P. = Rs. 420.

Profit = Rs. (420 - 125) = Rs. 295

Required percentage = (295/420) * 100
= 70%(approx)

If After p years , commodity X will cost 60 rupees more than the commodity Y, then

320 + 60p = 740 + 20p + 60
=> p = 12

So in year (2002 + 12 = 2014), commodity X will cost Rs.60 more than the commodity Y.