Hello Aspirants,
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.
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 - Radical Symbol (√)
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.
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.
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
Happy learning :)
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