Q. For any real, square and non-singular matrix B , the det B-1 is (A) zero (B) (det B)-1 (C) -(det B) (D) det B Ans: (det B)-1 Sol: For any matrix whose inverse exists i.e. non-singular BB-1 = I |BB-1| = 1 |B||B-1| = 1 det (B-1) = (det B)-1
For any real, square and non-singular matrix B , the det B-1 is Read More »
Which among the following are the smallest living cells, known without a definite cell wall, pathogenic to plants as well as animals and can survive without oxygen? Option 1 : PseudomonasOption 2 : MycoplasmaOption 3 : NostocOption 4 : Bacillus
(a) Tharman Shanmugaratnam(b) Ng Kok Song(c) Tan Kin Lian(d) Lee Hsien Loong Ans.(a)Sol. Tharman Shanmugaratnam secured a substantial majority in Singapore’s presidential election, marking the country’s first contested presidential polls since 2011.
Which one of the following statements is not valid for aerosols? Option 1 : They are harmful to human health.Option 2 : They have negative impact on agricultural landOption 3 : They alter rainfall and monsoon patterns.Option 4 : They cause increased agricultural productivity.
Which one of the following statements is not valid for aerosols? Read More »
(a) ₹1.59 trillion(b) ₹1.65 trillion(c) ₹1.43 trillion(d) ₹1.6 trillion Ans.(a)Sol. India’s GST collection for August 2023 reached ₹1.59 trillion, indicating an impressive 11% annual increase.
___________ was the total GST collection in India for August 2023? Read More »
(a) 5.2 crore(b) 10 crore(c) 30,051 crore(d) More than 6.62 crore Ans.(d)Sol. As of the recent announcement, the total number of subscribers under NPS and APY has exceeded 6.62 crore. This demonstrates the growing awareness among the Indian population about the importance of planning for retirement.
Q. In a certain two-dimensional lattice, the energy dispersion of the electrons is where 𝑘⃗→ = (𝑘𝑥 , 𝑘𝑦) denotes the wave vector, 𝑎 is the lattice constant and 𝑡 is a constant in units of eV. In this lattice the effective mass tensor 𝑚𝑖𝑗 of electrons calculated at the center of the Brillouin zone has
In a certain two-dimensional lattice, the energy dispersion of the electrons is Read More »
Flowers which have single ovule in the ovary and are packed into inflorescence are usually pollinated by Option 1 : WindOption 2 : BeeOption 3 : BatOption 4 : Water
(a) Rs 15 trillion(b) Rs 20 trillion(c) Rs 24.28 lakh crore(d) Rs 28 trillion Ans.(d)Sol. In July 2023, bank credit outstanding to the real estate sector in India reached an all-time high of Rs 28 trillion.
