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Question : Which of the following correctly represents the number of atoms in one mole of CH3OH?
Option 1: 6.0*1023
Option 2: 3.6*1024
Option 3: 3.0 *1025
Option 4: 3
Correct Answer: 3.6*1024
Solution : The correct option is 3.6*1024.
The total number of atoms in one mole of methanol is 3.6*1024. There are six atoms present in methanol(CH3OH). Carbon (C) - 1 Hydrogen (H) - 4 Oxygen (O) - 1. No.
Question : What will be the amount of Rs. 12500 at the rate of 20% per annum compounded yearly for 3 years?
Option 1: Rs. 21080
Option 2: Rs. 21560
Option 3: Rs. 20600
Option 4: Rs. 21600
Correct Answer: Rs. 21600
Solution : Principal, P = Rs. 12500 Rate of interest, $r$ = 20% Time, $n$ = 3 years According to the question, Amount = P[$(1+\frac{r}{100})^n$], where P is principal, $r$ is the rate of interest compounded annually for $n$ years. ⇒ Amount = 12500$(1+\frac{20}{100})^3$ = 12500$(\frac{6}{5})^3$
Question : When two semiconductors of p- and n-type are brought in contact, they form the p-n junction, which acts like a/an
Option 1: conductor
Option 2: oscillator
Option 3: rectifier
Option 4: amplifier
Correct Answer: rectifier
Solution : The correct option is a rectifier.
A p-n junction is created when two semiconductor materials of the p- and n-type come into contact. An essential feature of semiconductor devices, notably diodes and transistors, is a p-n junction. A p-n junction behaves like a rectifier or
Question : Directions: If the 1st of September 2002 is Sunday, then what will be the day of the week on the 14th of February 2003?
Option 1: Sunday
Option 2: Saturday
Option 3: Friday
Option 4: Wednesday
Correct Answer: Friday
Solution : Given: The 1st of September 2002 is Sunday.
Number of days from 1st of Sep 2002 to 14th of Feb 2003 – Sep = 30 – 1 = 29; Oct = 31; Nov = 30; Dec = 31; Jan = 31; Feb = 14 ⇒
Question : The periodic growth and drop in seawater level are known as:
Option 1: Wave
Option 2: Sea current
Option 3: Tide
Option 4: Flood
Correct Answer: Tide
Solution : The correct answer is Tide.
The periodic rise and fall of seawater is known as "tides." Tides are the natural, rhythmic fluctuations in sea level caused by the gravitational pull of the Moon and the Sun on Earth's oceans. Tides follow a predictable cycle, with
Question : The Indian National Science Academy is situated in _______.
Option 1: New Delhi
Option 2: Hyderabad
Option 3: Allahabad
Option 4: Bengaluru
Correct Answer: New Delhi
Solution : The correct answer is New Delhi.
For Indian scientists working in all fields of science and technology, the Indian National Science Academy (INSA) is a national academy located in New Delhi. Its goals were to advance science in India and use scientific knowledge
Question : If $2x+\frac{2}{x}=3$, then the value of $x^{3}+\frac{1}{x^{3}}+2$ is:
Option 1: $\frac{3}{4}$
Option 2: $\frac{4}{5}$
Option 3: $\frac{5}{8}$
Option 4: $\frac{7}{8}$
Correct Answer: $\frac{7}{8}$
Solution : Given: $2x+\frac{2}{x}=3$ $2(x+\frac{1}{x})=3$ $(x+\frac{1}{x})=\frac{3}{2}$ Cubing both sides, we get: $(x+\frac{1}{x})^3=(\frac{3}{2})^3$ ⇒ $x^3+\frac{1}{x^3}+3×x×\frac{1}{x}(x+\frac{1}{x})=\frac{27}{8}$ ⇒ $x^3+\frac{1}{x^3}+3×\frac{3}{2}=\frac{27}{8}$ ⇒ $x^3+\frac{1}{x^3}=\frac{27}{8}–\frac{9}{2}$ ⇒ $x^3+\frac{1}{x^3}=–\frac{9}{8}$ To get the value of $x^{3}+\frac{1}{x^{3}}+2$, we need to add 2 both sides. Thus, $x^{3}+\frac{1}{x^{3}}+2 = –\frac{9}{8}+2$ $\therefore x^{3}+\frac{1}{x^{3}}+2 = \frac{7}{8}$ Hence, the correct answer is $\frac{7}{8}$.
Question : Directions: Eight friends Anil, Kamal, Ram, Sanjay, Aakash, Vivek, Rahul, and Ramu are sitting around a circular table facing toward the centre (not necessarily in the same order). Vivek is second to the right of Anil. Kamal is third to the left of Anil. Ramu is second to the right of Vivek. Ram is second to the right of Ramu. Aakash is second to the right of Rahul. Rahul is not the immediate neighbour of Vivek. Who is third to the right of Aakash?
Option 1: Kamal
Option 2: Ram
Option 3: Vivek
Option 4: Ramu
Correct Answer: Ramu
Solution : Given: (I) Vivek is second to the right of Anil. Kamal is third to the left of Anil. Ramu is second to the right of Vivek.
(II) Ram is second to the right of Ramu. Aakash is second to the right of Rahul. Rahul is
Question : Select the option that can be used as a one-word substitute for the given group of words.
Evoking a keen sense of sadness or regret
Option 1: Pungent
Option 2: Poignant
Option 3: Impactful
Option 4: Unaffecting
Correct Answer: Poignant
Solution : The first option is correct.
Poignant is an adjective that describes something that evokes a deep sense of sadness or regret, often with a mixture of sympathy and emotional intensity. Pungent refers to a strong, sharp smell or taste and does not convey the specific
Question : Directions: If a mirror is placed on the line MN, which of the answer figures is the right mirror image of the given figure?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear close to the mirror in the reflection. So, according to the above property and the information provided, the mirror is placed at the bottom of the figure (on line MN). So, the top of the reflected image
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