# Some Random Tips for your Quant Section

Hello Students,

Here we are providing you some tricks which can be helpful to solve Quant questions. These can be applied for solving the questions.

### To find greater between fractions without calculating their decimal values.

Here is a short example:
Consider 4/5 and 6/7
Cross multiply the numerator and denominator of both the fractions.
4 × 7 = 28            6 × 5 = 30
30 > 28 so the fraction carrying 6 as numerator is greater, i.e. 6/7 > 4/5
* You can use this method when you are asked to find out the greatest or smallest among given fractions.

### Method to solve mixed fractions.

1. Here is an example:
Consider finding the value for 2(1/3) + 4(2/7) + 5(1/6).
This can be calculated as:
(2 + 4 + 5) + [(1/3) + (2/7) + (1/6)] = 11 + (14 + 12 + 7)/42
= 11 + 33/42
= 495/42
Now similarly 2(1/3) + 4(2/7) – 5(1/6)
= (2 + 4 – 5) + [(1/3) + (2/7) – (1/6)] = 1 + (14 + 12 – 7)/42
= 1 + 19/42
= 61/42

1. When x^2 = 25, then x = 5 and -5 because 5 × 5 = 25 and also (-5) × (-5) = 25
But when x = √25 or 25^1/2, then x = 5 only because when radical symbol is used, we can take only positive (or zero) values.

### Squares of numbers ending with 5.

1. Consider examples:
(25)^2 = 2 × 3 | 5 × 5 = 625
(85)^2 = 8 × 9 | 5 × 5 = 7225
(105)^2 = 10 × 11 | 5 × 5 = 11025

### Multiplication with number 15.

1. 120 × 15 = 120 + (120/2) = 120 + 60 = 1800
162 × 15 = 162 + (162/2) = 162 + 81 = 2430
185 × 15 = 185 + (185/2) = 185 + 92.5 = 2775

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