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Question : Let $0<x<1$. Then the correct inequality is:
Option 1: $x<\sqrt{x}<x^{2}$
Option 2: $\sqrt{x}<x<x^{2}$
Option 3: $x^{2}<x<\sqrt{x}$
Option 4: $\sqrt{x}< x^{2}<x$
Correct Answer: $x^{2}<x<\sqrt{x}$
Solution : Given: $0 < x < 1$ For $0 < x < 1$, it's always true that $x^{2} < x$ because squaring a fraction between 0 and 1 makes it smaller. Similarly, it's always true that $x < \sqrt{x}$ because taking the square root of a
Question : ___________became India's first sports unicorn, with its market cap having touched a high of Rs. 7,600 crores as of January 30, 2022.
Option 1: Delhi Capitals
Option 2: Kolkata Knight Riders
Option 3: Mumbai Indians
Option 4: Chennai Super Kings
Correct Answer: Chennai Super Kings
Solution : The correct option is Chennai Super Kings.
With a market valuation that has reached a peak of Rs 7,600 crores, Chennai Super Kings (CSK) has emerged as the first sports unicorn in India. With its share value in the market trading in
Question : The speed of the processor chip is measured in the:
Option 1: Mbps
Option 2: MHz
Option 3: bits/second
Option 4: bytes/second
Correct Answer: MHz
Solution : The correct option is MHz.
The speed of a processor chip is measured in Hertz (Hz), megahertz (MHz), or gigahertz (GHz). The clock speed is the most popular way to evaluate CPU speed; nevertheless, it is not the only aspect that affects CPU performance.
Question : Select the option that can be used as a one-word substitute for the given group of words.
Someone who does not believe that God exists
Option 1: Devotee
Option 2: Atheist
Option 3: Priest
Option 4: Nun
Correct Answer: Atheist
Solution : The correct choice will be the second option.
The one-word substitute for a given group of words is atheist.
Explanation:
"Someone who does not believe that God exists" is a descriptive phrase that refers to an individual who lacks belief in the existence of a
Question : The radius of a circle is 10 cm. What will be the angle made by a chord of length 20 cm on the circumference of this circle?
Option 1: 90°
Option 2: 120°
Option 3: 180°
Option 4: 135°
Correct Answer: 90°
Solution : Let the radius of the circle be R cm. According to the concept, R = 10 cm So, diameter = 2 × R = 2 × 10 = 20 cm According to the question, The chord has a length of 20 cm. A diameter divides
Question : What is the simplified value of $\frac{33}{(6–\sqrt3)}$?
Option 1: $6+\sqrt3$
Option 2: $6-\sqrt3$
Option 3: $12+\sqrt3$
Option 4: $12-\sqrt3$
Correct Answer: $6+\sqrt3$
Solution : $\frac{33}{(6–\sqrt3)}$ $=\frac{33}{(6–\sqrt3)}×\frac{(6+\sqrt3)}{(6+\sqrt3)}$ $=\frac{33(6+\sqrt3)}{33}$ $=(6+\sqrt3)$ Hence, the correct answer is $(6+\sqrt3)$.
Question : Directions: Select the figure that will come next in the following figure series.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : According to the given figure series, the symbol's sides at the box's centre decrease by 1 as we move from one box to another. In box 1, an arrow is present with 7 sides; in box 2 a hexagon is present; in box 3 a pentagon
Question : If two tangents to a circle of radius 3 cm are inclined to each other at an angle of 60°, then the length of each tangent is:
Option 1: $\frac{3 \sqrt{3}}{4} \mathrm{~cm}$
Option 2: $3 \sqrt{3} \mathrm{~cm}$
Option 3: $3 \mathrm{~cm}$
Option 4: $6 \mathrm{~cm}$
Correct Answer: $3 \sqrt{3} \mathrm{~cm}$
Solution : Let P be an external point, from where two tangents are drawn to the circle and the angle between them is 60°. Join OA and OP. OA = 3, is the radius of the circle. Also, OP is the bisector of $\angle$P. So,
Question : There are a total of ______ parliamentary seats (Rajya Sabha constituency) in Odisha.
Option 1: 11
Option 2: 19
Option 3: 10
Option 4: 1
Correct Answer: 10
Solution : The correct answer is 10.
Odisha state is represented by 10 seats in the Rajya Sabha. According to Article 80 of the Constitution, Rajya Sabha has a maximum limit of 250 members. The highest number of seats is allotted to Uttar Pradesh, which has
Question : The Legislative Council of a State comprises not more than _______ of the total number of members in the Legislative Assembly of the State.
Option 1: two-third
Option 2: three-fourth
Option 3: one-third
Option 4: one-fifth
Correct Answer: one-third
Solution : The correct option is one-third.
According to Article 171 of the Constitution of India, the total number of members in the Legislative Council of a State shall not exceed one-third of the total number of members in the Legislative Assembly of that State, but
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