HI Pratik, the solution of a DashCAT will be available to all the users who gave it (including free users) after the window is closed.

when it would be availaible?

Hi Deepak,
In study room package, we have a large database of 5000 questions, which include self-made questions as well as previous CAT questions. In mocks, we do not give the questions from previous CAT papers. Questions given in mocks are self-made. We make sure that the questions are as close to CAT level as possible.
If you have certain weak areas, we would suggest you to take topic tests rather than moving on the previous CAT papers, but if you believe you have a good foundation in all the topics, you can move on to solving previous CAT papers.

9*8*2=144. All 3 digit no. With above condition imposed

Downloading Permutations and combinations concepts and formulas sheet will help you to solve these type of questions. 

This is the case of permuting the digits without repeating any of them.

Consider a simple case of 1, 2, 3. The permutations of these are 123, 132, 231, 213, 312, 321.

There are a total of 3! = 6 permutations. The number of times that 1 appears in the units place = (3-1)! = 2!. Similarly, it appears 2! times in the tens and hundreds place respectively.

So, the summation for 1 is: 2!*100 + 2!*10 + 2!*1 = 111*2!

The summation for 2 is: 2!*200 + 2!*20 + 2!*2 = 2!*222 = 2!*111*2

The summation for 3 is: 2!*300 + 2!*30 + 2!*3 = 2!*333 = 2!*111*3

Total sum = 111*2!*(1+2+3) = 111*2!*6

In general, the formula for 'n' digits is (n-1)!*1111... (n times)*(sum of the digits)

Sum of the numbers = 1111*3!*(4+8+2+6) = 1111*120 = 133320

Tenses are tools used to indicate when a situation or action takes place i.e. to show the position of the situation with respect to time.

The tenses in the main clause and the subordinate clause of a sentence need to be consistent with their relationship that is implied by the sentence.

Suppose, the tense in the main clause is simple present tense.

E.g. She feels that the current system is biased against women.

Suppose the subordinate clause is as follows:

As Sheila failed to land a job in any of the big consulting companies, she feels that the current system is biased against women.

The tense of the verb in the subordinate clause is not consistent with the relationship that is implied by the sentence. As the sentence implies that Sheila is unable to find a job from some point in the past to now, the correct tense for the subordinate clause will be present perfect tense.

Hence the correct statement is as follows:

As Sheila has failed to land a job in any of the big consulting companies, she feels that the current system is biased against women.

Important Points to note:
1. Try to find Main Point of the paragraph. As the sentences when constructed to make a paragraph presents an idea. Try to find that idea and see what role a particular sentence will play to depict the whole picture. Then arrange them accordingly to make paragraph coherent.

2. Try to see verbal connectives and logical connectives as they give hints regarding constructing the paragraph logically.
3. Try to see analogies as they should proceed with real life examples.

Hi Swaroop, Grammar is based on a set of rules. So, theoretically, if you master the rules, you can solve Grammar questions. To get a good grip on the rules, try solving as many Grammar questions as possible. This will help you improve in the last 40 days.

Check out this link for Grammar rules: https://cracku.in/cat/verbal-and-lr/grammar-sentence-correction

Hi Kshitiz, the solutions for DASHCAT 14 questions will be posted after the window is closed tomorrow!

7?

The number of ways in which the first white square can be selected = 32
Now, number of ways in which a black square can be selected = 24 (Not in the same row or column as the white square)
Next, number of ways of selecting the other white square = 32 - (4+3+4+3) = 18
The selection of the two white squares should be divided by 2 to account for repetition.

Total number of ways of selection = 32*24*18/2 = 16*24*18 = 6912

The Euler of 37 is 36. Since 12 and 37 are co-prime, 12^36 mod 37 = 1
Similarly, 12^108 mod 37 = 1

So, 12 * $$12^{107}$$ mod 37 = 1
Let $$12^{107}$$ mod 37 be k
So, 12k mod 37 = 1

=> 12k = 37t + 1
The range of t is from 1 to (12-1) = 11

Substituting the values, we see that the equation is satisfied for t = 11
=> k = 34
Remainder = 34

The range of k is from 1 to (12-1) = 11 means
the range of 'k' or 't'