What are non performing assets with examples?
The classification of advances or loans which are in arrears or default are known as Non Performing Assets (NPA). The... View Article
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Which bank is best for online transactions?
As per one of the studies conducted, State Bank of India (SBI) was the most popular for online transactions. You... View Article
Do payment banks maintain CRR and SLR?
Yes, the Payment banks have to maintain Cash Reserve Ratio (CRR) and Statutory Liquidity Ratio (SLR). At Least 75% of... View Article
What is the difference between a payment bank and a small finance bank?
Small Finance Banks can accept all types of deposits like current accounts, savings, Recurring Deposits (RD), Fixed Deposits (FD). In... View Article
30 Sep 2021: PIB Summary & Analysis
TABLE OF CONTENTS 1. VAYO NAMAN Programme 2. 'Senior care Ageing Growth Engine' (SAGE) project 3. NITI Aayog Frontier Technologies... View Article
Pulkit Singh (AIR 26) – IAS Topper 2020
The civil services exam final results were released on September 24, 2021, and Pulkit Singh from Chandigarh bagged the bagged... View Article
National Ambient Air Quality Standards (NAAQS) [UPSC Environment & Ecology]
National Ambient Air Quality Standards (NAAQS) are standards for air quality that are set by the Central Pollution Control Board... View Article
If [latex]y = frac{1}{1+x}+frac{2}{1+x^2}+frac{2^2}{1+x^4 }+….+frac{2^100}{1+x^200}[/latex], then find y at x = 2.
Solution: Answer: \(\begin{array}{l}y = 1 + \frac{2^{101}}{1-2^{400}}\end{array} \)
Solve (1 + y) tan2x + tan x (dy/dx) + y = 0
Solution: Answer: y tan x = -tan x + x + c (1 + y) tan2x + tan x (dy/dx)... View Article
Evaluate [latex] sum_{r=0}^{20} r^2(^{20}C_r)[/latex]
Solution: Answer: 20 ⋅ 21 ⋅ 218
If [latex]vec{a} . vec{c} =3 , vec{a} = hat{i}+ hat{j}+ hat{k}, vec{b} =hat{j} – hat{k}, vec{a} times vec{c} =vec{b}[/latex], Find [latex][vec{a} ; vec{b} ;; vec{c}][/latex]
Solution: Answer: \(\begin{array}{l}[\vec{a} \ \; \vec{b} \;\; \vec{c}]\end{array} \) = -2 Given \(\begin{array}{l}\vec{a} . \vec{c} =3 , \vec{a} = \hat{i}+... View Article
Solve [latex]lim_{n rightarrow infty} frac{1}{n}sum_{r=0}^{2n-1}frac{n^2}{n^2+4r^2}[/latex]
Solution: Answer: [(1/2)] tan-14 – 0 \(\begin{array}{l}\lim_{n \rightarrow \infty} \frac{1}{n}\sum_{r=0}^{2n-1}\frac{1}{1+\frac{4r^2}{n^2}}=\int_0^2 \frac{1}{1+(2x)^2}dx\end{array} \) = [(1/2)] tan-14 – 0
A wire of length 36 units is cut into two parts which are bent respectively to form a square of side x units and a circle of radius of r units. If the sum of areas of the square and the circle so formed is minimum, then find the circumference of the circle.
Solution: Answer: 2π x 18/(4 + π) = 36π/(4 + π) Sum of perimeter of square and circle = 36... View Article
If [latex]arg(frac{z-1}{z+1}) = frac{pi}{4}[/latex], then find equation of circle.
Solution: Answer: √2
Sum of infinite terms A, AR, AR2, AR3,…. is 15. If the sum of the square of these terms is 150, then find the sum of AR2, AR4, AR6, ⋯.
Solution: Answer: ½ A + AR + AR2 + ⋯ = 15 ⇒A/(1-R) = 15 ⋯(i) Now, A2 + A2... View Article
If cosx/(1+sinx) = |tanx|, then find the number of solutions in [0, 2π].
Solution: Answer: x = π/6 Case 1: tan x ≥ 0 cosx/(1+sinx ) = sinx/cosx ⇒cos2x = sin2x+sinx ⇒1-sin2x =... View Article
Evaluate [latex]int_{frac{-1}{sqrt{2}}}^{frac{1}{sqrt{2}}}[(frac{1-x}{1+x})^2 + (frac{1+x}{1-x})^2 – 2]dx[/latex]
Solution: Answer: 4 ln ½
P(A) = p, P(B) = 2p, P(Exactly one out of A and B occurs) = 5/9. What will be the maximum value of p?
Solution: Answer: 5/9 Given: P(A) = p and P(B) = 2p \(\begin{array}{l}P(\bar{A} \cap B) + P(\bar{B} \cap A) = \frac{5}{9}\end{array}... View Article
In a hospital, 89% has disease A and 98% has disease B, K% is the number of patients who has both, then K can’t be the subset of ____
Solution: Answer: Least k =87, Max k = 89 Let total =100 n(A)=89, n(B)=98 max (n(A),n(B)) ≤ n(AUB) ≤ 100... View Article
Find value of (5 – e2 ) for ellipse x2/8 + y2/4 = 1
Solution: Answer: 9/2 x2/8 + y2/4 = 1 a2 = 8, b2 = 4 e = c/a = √((a2 –... View Article
