"I had a bath thrice yesterday." How is this statement correct?

It should be: "Yesterday, I took a bath thrice".

We used have for bath so therefore for past had is used

Consider four digit numbers for which the first two digits are equal and the last two digits are also equal. How many such numbers are perfect squares?

Sir, How to solve such questions?

Let number be 1000x+100x+10y+y It would be 11(100x+y). So right now number is a multiple of 11, So to be a perfect square it should be a multiple of 11^2So, 11^2 * 2^6 =7744. (When exponents of the factors of the number are even then it is a perfect square)

If p+q+r = 7, find the minimum possible value of p^2 + 9(q^2) + 4(r^2)?

41. According to the question p+q+r=7 can be achieved by adding 1,2,4 only. There are 6 way you can write 1,2,4 (1+2+4)(4+1+2)(2+4+1)(2+1+4)(4+2+1)(1+4+2) By putting value (4+1+2) gives minimum value of 41

What is the remainder when 50! Is divided by 47^2 ? Please explain it by using wilson theorem.

47 is a prime number. So, 46! mod 47 = 4650! mod 47^2 = 50*49*48*47*46! mod 47^2= 47*(50*49*48*46! mod 47) 50 mod 47 = 349 mod 47 = 248 mod 47 = 146! mod 47 = 46 So, the expression becomes 47*(3*2*1*46 mod 47) = 47*(276 mod 47) = 47*41 = 1927

https://cracku.in/cat/history/1431924?src=test. Can you pls provide the solution of the Q1 and Q4 with the help of a diagram in the Test Set.

Hi Balu, We have updated both the solutions with diagrams. Please check now.

How to prepare for Para Jumbles: Practice, practice, practice!: A student can improve a lot in para jumbles by practicing. You get used to the process of looking for connectives and joining different threads together into a coherent chain of thought Read: The skills used in Para Jumbles are the same as the skills used in Reading Comprehension. Therefore you should get into the habit of reading everyday. Read opinion articles in any of the major dailies. Analyze the information given in them and summarize each paragraph Important points to note: Main point of the paragraph: Read all sentences. Try to understand what is the main point of the paragraph. Find the sentence where the subject of the paragraph - person, event or idea is first introduced. This sentence is likely to be the first sentence or would at least be in the first few sentences. Try to find verbal connectives: Verbal connectives like but, on the other hand, nevertheless etc provide important clues regarding the paragraph. If you find a negative connective like but, nevertheless etc find the idea being rejected in that statement. The line that states this idea would immediately precede this line. However, a note of caution : Some paragraphs can begin with connectives like However, but etc. Try to find logical connectives: When a statement lists two reasons, or two concerns or any enumeration of this sort find the the two sentences with the reasons. These sentences should follow the line. Analogies: If an analogy is given it should precede the real life example. For example if the author states that when a stone is dropped in water, its ripples are felt for some time after the event. If there is a sentence which gives the example of how we are still feeling the ripples of a great event, this line with the real life example must be after the line with the analogy Definition of subject: Find lines where pronouns like he, it are used. They should immediately follow lines where this noun is defined.