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Sep
29

Expressing a number as a difference of squares of two natural numbers

How many natural numbers below 100 can be expressed as a difference of 2 perfect squares in one way? There are two conditions here Condition 1 : The should be a way to express the number as a difference of square of two numbers Condition 2 : There should only be one such way of expressing […]

By Alosies | Uncategorized
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Sep
26

Climbing Steps Problems – Permutations and Combinations

In how many ways can Mario climb a staircase of 9 steps if he can take a maximum of 3 steps at a time?  Solution: This question can be solved by recurrence. Let us assume there are 0 steps, there is only one way to climb - do nothing! Let us assume 1 step. Where [...]
By Alosies | CAT . Quant
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Sep
30

She vs her, he vs him and I vs me

Sentence Correction For the underlined part of the sentence, choose the alternative that is correct in terms of grammar and usage. If you don't trust me, then it ought to be her with whom you share your secrets, not me. A. her with whom you share your secrets, not me B. her with whom you [...]
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Sep
27

Comma splice and Pseudo Love

Answer When a comma separates two independent clauses, we have a comma splice error. For example; I woke up in the morning, I went for a run. Here we have a comma splice error as two independent clauses are separated by a comma.   Detailed Explanation Pseudo Love When two adults come together, they either share a [...]
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Sep
25

Last Non-zero digit of a number (LND)

Shortcut : Step 1 : Express the number in the form 5k + r, where r is the remainder obtained when the number is divided by 5. Step 2 : Last non-zero digit is k! * 2k * r!   Example 1: Last non-zero digit of 50! Step 1 : 50 = 5(10) + 0 […]

By Alosies | CAT . Quant
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