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10 Views

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: $\sqrt{x}< x^{2}<x$

Team Careers360 24th Jan, 2024

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

9 Views

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

Team Careers360 25th Jan, 2024

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

36 Views

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

Team Careers360 24th Jan, 2024

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.

26 Views

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

Team Careers360 22nd Jan, 2024

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

49 Views

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°

Team Careers360 22nd Jan, 2024

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

18 Views

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: $12-\sqrt3$

Team Careers360 23rd Jan, 2024

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 $(6+\sqrt3)$.

15 Views

Question : Directions: Select the figure that will come next in the following figure series.

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 22nd Jan, 2024

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

11 Views

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: $6 \mathrm{~cm}$

Team Careers360 23rd Jan, 2024

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,

18 Views

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

Team Careers360 22nd Jan, 2024

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

9 Views

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

Team Careers360 23rd Jan, 2024

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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