Don’t worry, unlock all articles / blogs on PrepInsta by just simply logging in on our website
Type atleast 3 characters
Popular Searches
Trending Pages
Notifications Mark All Read
Test Notification
Walmart is Hiring for 2024 and 2025! Batches Click here to apply!
PREPINSTA PRIME BIG BILLION SALE is live now. Go and grab the amazing offer.
asdasd
You have purchased Zoho Prime Mock Materials go to My Orders
You have purchased CTS Prime Mock Material. go to My Orders
Quants Menu9>
PREPINSTA PRIME
Get Hiring Updates right in your inbox from PrepInsta
July 12, 2023
This page contains Tips, tricks and shortcuts of Surds and Indices along with its simplification and solved question and answers.
Get PrepInsta Prime & get Access to all 200+ courses offered by PrepInsta in One Subscription
Question . Find the value (1728)( – \frac{2}{3})
Options.
A. \frac{1}{144}
B. 144
C. – \frac{1}{144}
D. \frac{1}{12}
Solution: Cube root of 1728 is 12.
Therefore,(12)–3( \frac{1}{3})
(12) – 3 × ( \frac{2}{3}) = 12–2
We know that, a-n = \frac{1}{a^n}
Therefore, 12–2 = (\frac{1}{12})^2 = \frac{1}{144}
Correct option: A
Question . Find the value of x If ( \frac{p}{q})x-1 = ( \frac{q}{p})x-3
A. 3
B. 2
C. 1
D. -2
Solution: ( \frac{p}{q})x-1 = ( \frac{q}{p})x-3
( \frac{p}{q})x-1 = ( \frac{p}{q})-(x-3)
( \frac{p}{q})x-1 = ( \frac{p}{q})3-x
x-1 = 3-x
x = 2
Correct option: B
Question : If 5^{a} = 3125, then the value of 5^{(a – 3)} is:
A. 25
B. 125
C. 625
D. 1625
Solution:
5^{a} = 3125
5^{a} = 5^{5}
a = 5.
5^{(a – 3)} = 5^{(5 – 3)}
5^{2} = 25.
Question : A person wants to know answer of question asked in annual exams as follows: 3^{0} + \frac{3^{-1}}{3^{-1}}- 3^{0} is simplified to
(1) –2(2) –1 (3) 1(4) 2
Solution :
Expression = 3^{0} + \frac{3^{-1}}{3^{-1}} – 3^{0}
\frac{1 +\frac{1}{3}}{\frac{1}{3} -1}
\frac{\frac{(3+1)}{3} }{\frac{(1-3)}{3}}
\frac{4}{3} \times -\frac{3}{2}= –2
Question : Simplify the equation (256)^{0.16} × (4)^{0.36} is equal to
(1) 64(2) 16(3) 256.25(4) 4
(256)^{0.16} \times (4)^{0.36}
(44)^{0.16} \times 4^{0.36}
4^{0.64} \times 4^{0.36}
(4)^{0.64 + 0.36} = 4
Courses like AI/ML, Cloud Computing, Ethical Hacking, C, C++, Java, Python, DSA (All Languages), Competitive Coding (All Languages), TCS, Infosys, Wipro, Amazon, DBMS, SQL and others
Login/Signup to comment
Very good lectures