August 2023 | Page 58 of 69

Parliament Passes Bill Allowing Private Sector to Mine Lithium and Other Atomic Minerals

Parliament Passes Bill Allowing Private Sector to Mine Lithium and Other Atomic Minerals: The Mines and Minerals (Development and Regulation) Amendment Bill, 2023, was recently passed by the Indian Parliament, enabling the private sector to undertake mining operations for six out of 12 atomic minerals, including lithium, as well as deep-seated minerals like gold and […]

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The sum and product of two integers are 26 and 165 respectively. The difference between these two integers is

Q. The sum and product of two integers are 26 and 165 respectively. The difference between these two integers is (A) 2 (B) 3 (C) 4 (D) 6 Ans: 4 Solution: From prime factorisation of165 = 3 × 5 × 11165 = 15 × 11So t he t wo number s whose sum i s

The sum and product of two integers are 26 and 165 respectively. The difference between these two integers is Read More »

A worker noticed that the hour hand on the factory clock had moved by 225 degrees during her stay at the factory. For how long did she stay in the factory?

Q. A worker noticed that the hour hand on the factory clock had moved by 225 degrees during her stay at the factory. For how long did she stay in the factory? (A) 3.75 hours (B) 4 hours and 15 mins (C) 8.5 hours (D) 7.5 hours Ans: 7.5 hours Solution: Since, we know that

A worker noticed that the hour hand on the factory clock had moved by 225 degrees during her stay at the factory. For how long did she stay in the factory? Read More »

_I permitted him to leave, I wouldn’t have had any problem with him being absent,I

Q. __________I permitted him to leave, I wouldn’t have had any problem with him being absent,________I? (A) Had, wouldn’t (B) Have, would (C) Had, would (D) Have, wouldn’t Ans: Had, would Solution: The phrase “Had I…”, in simple language means “If I had…”. There is no such meaning behind “Have I” and therefore it would

_________I permitted him to leave, I wouldn’t have had any problem with him being absent,________I Read More »

John Thomas, an ______________writer, passed away in 2018.

Q. John Thomas, an ______________writer, passed away in 2018. (A) imminent (B) prominent (C) eminent (D) dominant Ans: eminent

John Thomas, an ______________writer, passed away in 2018. Read More »

In an RSA cryptosystem, the value of the public modulus parameter 𝑛 is 3007. If it is also known that φ(𝑛) = 2880, where φ() denotes Euler’s Totient Function

Q. In an RSA cryptosystem, the value of the public modulus parameter 𝑛 is 3007. If it is also known that φ(𝑛) = 2880, where φ() denotes Euler’s Totient Function, then the prime factor of 𝑛 which is greater than 50 is Ans: Given, n = p * q = 3007 … … (1) And,

In an RSA cryptosystem, the value of the public modulus parameter 𝑛 is 3007. If it is also known that φ(𝑛) = 2880, where φ() denotes Euler’s Totient Function Read More »

What is the minimum number of 2-input NOR gates required to implement a 4-variable function expressed in sum-of-minterms form as f = Σ (0, 2, 5, 7, 8, 10, 13, 15)?

Q. What is the minimum number of 2-input NOR gates required to implement a 4-variable function expressed in sum-of-minterms form as f = Σ (0, 2, 5, 7, 8, 10, 13, 15)? Assume that all the inputs and their complements are available. Answer: . Ans: K-map for given, f = Σ(0, 2, 5, 7, 8,

What is the minimum number of 2-input NOR gates required to implement a 4-variable function expressed in sum-of-minterms form as f = Σ (0, 2, 5, 7, 8, 10, 13, 15)? Read More »

Consider that 15 machines need to be connected in a LAN using 8-port Ethernet switches. Assume that these switches do not have any separate uplink ports

Q. Consider that 15 machines need to be connected in a LAN using 8-port Ethernet switches. Assume that these switches do not have any separate uplink ports. The minimum number of switches needed is. Solution: You need at least 3 switches of Ethernet are required to connect 15 computers.

Consider that 15 machines need to be connected in a LAN using 8-port Ethernet switches. Assume that these switches do not have any separate uplink ports Read More »

Let Σ be the set of all bijections from {1, … , 5} to {1, … , 5}, where 𝑖𝑑 denotes the identity function, i.e. 𝑖𝑑(𝑗) = 𝑗, ∀𝑗. Let ∘ denote composition on functions

Q. Let Σ be the set of all bijections from {1, … , 5} to {1, … , 5}, where 𝑖𝑑 denotes the identity function, i.e. 𝑖𝑑(𝑗) = 𝑗, ∀𝑗. Let ∘ denote composition on functions. For a string 𝑥 =𝑥1 𝑥2 ⋯ 𝑥𝑛 ∈ Σ𝑛, 𝑛 ≥ 0 , let 𝜋(𝑥) = 𝑥1 ∘ 𝑥2

Let Σ be the set of all bijections from {1, … , 5} to {1, … , 5}, where 𝑖𝑑 denotes the identity function, i.e. 𝑖𝑑(𝑗) = 𝑗, ∀𝑗. Let ∘ denote composition on functions Read More »

Suppose 𝑌 is distributed uniformly in the open interval (1,6). The probability that the polynomial 3𝑥2 + 6𝑥𝑌 + 3𝑌 + 6 has only real roots is

Q. Suppose 𝑌 is distributed uniformly in the open interval (1,6). The probability that the polynomial 3𝑥2 + 6𝑥𝑌 + 3𝑌 + 6 has only real roots is (rounded off to 1 decimal place) Solution: For a quadratic polynomial ax2 + bx + c = 0. There are three condition: b2 – 4ac > 0

Suppose 𝑌 is distributed uniformly in the open interval (1,6). The probability that the polynomial 3𝑥2 + 6𝑥𝑌 + 3𝑌 + 6 has only real roots is Read More »