Latest Posts

The coefficient of xⁿ in the expansion of (1 + x) (1 – x)ⁿ is

1) (n – 1) 2) (–1)n (1 – n) 3) (– 1)n –1 (n – 1)2 4) (– 1)n –1... View Article

The coefficient of x²⁰ in the expansion of (1 + 3x + 3x² + x³)²⁰ is

1) 60C40 2) 30C20 3) 15C2 4) None of these Solution: (1) 60C40 Rewrite the given expression as [(1 +... View Article

The coefficient of x^r in the expansion of (1 + x)^-2 is

1) r 2) r + 1 3) r + 3 4) r – 1 Solution: (2) r + 1 \(\begin{array}{l}\begin{array}{l}... View Article

If ɑ = [5 / (2! 3)] + [5 . 7] / [3! 3²] + [5 . 7 . 9] / [4! 3³] + ….. then ɑ² + 4ɑ =

1) 21 2) 23 3) 25 4) 27 Solution: (2) 23 \(\begin{array}{l}\alpha=\frac{5}{2 ! 3}+\frac{5 \times 7}{3 ! 3^{2}}+\frac{5 \times 7... View Article

The coefficient of xⁿ in expansion of (1 + 2x + 3x² + …)^1/2 is

1) – 1 2) 0 3) 2 4) 1 Solution: (4) 1 \(\begin{array}{l}\text \ Given \ expression \ is \... View Article

In the expansion of [x – (1 / x)]⁶, the coefficient of x⁰ is

1) 20 2) – 20 3) 30 4) – 30 Solution: (2) – 20 \(\begin{array}{l}\text \ General \ term \... View Article

The coefficient of x^-10 in [x² – (1 / x³)]¹⁰ is

1) – 252 2) 210 3) – (5!) 4) – 120 Solution: (2) 210 \(\begin{array}{l}\text \ General \ term \... View Article

Indian Renewable Energy Development Agency (IREDA)

Established in 1987, the Indian Renewable Energy Development Agency Limited (IREDA) is a Mini Ratna (Category – I) Government of... View Article

Goods and Services Tax Council

Goods & Services Tax Council (GST Council) is a constitutional body for making recommendations to the Union and State Government... View Article

Role of Regional Parties in India

The presence of a large number of regional parties is an important feature of the Indian Political System. They have... View Article

Satpura Tiger Reserve

Satpura Tiger Reserve is located in the Satpura ranges of Central Indian Landscape and is one of the major geographical... View Article

27 May 2021: The Hindu Analysis

UPSC Current Affairs Preparation: The Hindu Analysis Watch expert analysis of ‘The Hindu’ dated 27th May 2021. Important news and... View Article

International Day for Biological Diversity [May 22]

The United Nations proclaimed May 22nd of every year to be observed as the International Day for Biological Diversity (IDB),... View Article

Payments Infrastructure Development Fund (PIDF) Scheme

Amid the rapid rise in the volume of payments through the UPI network, the Reserve Bank of India is taking... View Article

Gist of Yojana May 2021 Issue: Federal Structure

Yojana Magazine is an important source of material for the UPSC exam. The monthly magazine provides details of major government... View Article

What Animal Lays Eggs And Is Not A Bird?

Reptiles lay eggs. Even the platypus, a mammal, is known to lay eggs. Register at BYJU’S NEET to explore other... View Article

What Animals Cannot Swim?

Most mammals are capable of swimming, however, some such as the giraffe, are known to be incapable of the same.... View Article

What Are 10 Benefits Of Physical Activity?

Physical activity has many benefits, including: Improve heart health Improve brain and memory function Lower blood pressure Reduce anxiety Helps... View Article

What Animals Kill Their Mate?

Sexual cannibalism is a behavior where an animal cannibalizes its mate prior to or shortly after copulation. It is common... View Article

Should I Take Probiotics Or Prebiotics?

Prebiotics do not actually contain bacteria. Instead, they are used as fuel for the bacteria already present in the gut.... View Article

«
1
…
2,929
2,930
2,931
2,932
2,933
…
5,472
»