Bodhee Prep-Online CAT Coaching | Online CAT Preparation | CAT Online Courses

Get 10% OFF on CAT 24 Course. Code: BODHEE10. valid till 3rd Dec Enroll Now
| Best Online CAT PreparationFor Enquiry CALL @ +91-95189-40261

# CAT 2020 Quant Question [Slot 3] with Solution 08

Question

If $f(x + y) = f(x)f(y)$ and $f(5) = 4,$ then $f(10) - f( - 10)$ is equal to

1. 0
2. 15.9375
3. 3
4. 14.0625
Option: 2
Solution:

Given $f(x + y) = f(x)f(y)$

$\Rightarrow f(x) = {a^x}$( where $a$ is a constant ) Given, $f(5) = 4 \Rightarrow {a^5} = 4 \Rightarrow a = {2^{2/5}}$

$f(10) - f( - 10) = {a^{10}} - {a^{ - 10}} = {\left( {{2^{\frac{2}{5}}}} \right)^{10}} - {\left( {{2^{\frac{2}{5}}}} \right)^{ - 10}}$

$= {2^4} - {2^{ - 4}} = 16 - \frac{1}{{16}} = 15.9375$

CAT Online Course @ INR 12999 only

## CAT 2020 Quant questions with Solutions

#### CAT 2023 Mock Test Series

• 400+ Topic Tests
• 45 Sectional tests
• 20 Mock Tests (Video Solutions)
• Only at INR 2499

20% Discount Code: GET20

FREE CAT Prep Whatsapp Group

CAT 2023 Online Course at affordable price