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19 Views

Question : Select the most appropriate ANTONYM of the given word.
Stationary

Option 1: Moving

Option 2: Immobile

Option 3: Permanent

Option 4: Stable

Team Careers360 21st Jan, 2024

Correct Answer: Moving


Solution : The correct word will be the first option.

The word stationary denotes not moving. The antonym moving means to move something further in a particular direction in order to make space for somebody or something else.

The meanings of the other words are:

  • Immobile:
191 Views

Question : If 5x + 3y = 15 and 2xy = 6, then the value of 5x – 3y is:

Option 1: $3\sqrt{3}$

Option 2: $3\sqrt{5}$

Option 3: $3\sqrt{2}$

Option 4: $3\sqrt{4}$

Team Careers360 24th Jan, 2024

Correct Answer: $3\sqrt{5}$


Solution : Given: 2xy = 6 ⇒ xy = 3
5x + 3y = 15
Squaring both sides,
⇒ 25x+ 9y+ 30xy = 225
Subtracting 60xy from both sides, we get,
⇒ 25x+ 9y– 30xy = 225 – 60xy

15 Views

Question : If $a+b+c=3$ and none of $a,b$ and $c$ is equal to $1$, what is the value of $\frac{1}{(1-a)(1-b)}+\frac{1}{(1-b)(1-c)}+\frac{1}{(1-c)(1-a)}?$

Option 1: 0

Option 2: 1

Option 3: 3

Option 4: 6

Team Careers360 25th Jan, 2024

Correct Answer: 0


Solution : Given:
$a+b+c=3$ and none of $a, b$ and $c$ is equal to 1.
$\frac{1}{(1-a)(1-b)}+\frac{1}{(1-b)(1-c)}+\frac{1}{(1-c)(1-a)}$
= $\frac{1-c+1-b+1-c}{(1-a)(1-b)(1-c)}$
= $\frac{3-(a+b+c)}{(1-a)(1-b)(1-c)}$
= $\frac{3-3}{(1-a)(1-b)(1-c)}$
= $\frac{0}{(1-a)(1-b)(1-c)}$
= $0$
Hence, the correct answer is 0.

14 Views

Question : If $\sin 2\theta=\frac{\sqrt{3}}{2}$, then the value of $\sin 3\theta$ is equal to $(0^{\circ}\leq \theta\leq 90^{\circ})$:

Option 1: $\frac{1}{2}$

Option 2: $1$

Option 3: $0$

Option 4: $\frac{\sqrt{3}}{2}$

Team Careers360 19th Jan, 2024

Correct Answer: $1$


Solution : $\sin 2\theta=\frac{\sqrt{3}}{2}=\sin 60^{\circ}$
$⇒2\theta = 60^{\circ}$
$⇒\theta = 30^{\circ}$
We know that,
$\sin 3\theta = \sin 90^{\circ} = 1$
Hence, the correct answer is $1$.

14 Views

Question : Who among the following Indian Grandmasters defeated the world number one Magnus Carlsen and became the FTX Crypto Cup 2022 runner-up?

Option 1: Saketh Myneni

Option 2: Vishwanathan Anand

Option 3: R Praggnanandhaa

Option 4: P. Harikrishna

Team Careers360 21st Jan, 2024

Correct Answer: R Praggnanandhaa


Solution : The correct option is R Praggnanandhaa.

R Praggnanandhaa, the Indian Grandmaster, defeated Magnus Carlsen in the FTX Crypto Cup 2022, securing the runner-up position. Praggnanandhaa had previously triumphed over Carlsen twice in 2022. In the Tata Steel Chess Tournament 2023, he achieved his first

17 Views

Question : Earth's core is mainly made up of _____________.

Option 1: nickel and copper

Option 2: nickel and alumina

Option 3: nickel and iron

Option 4: nickel and magnesium

Team Careers360 22nd Jan, 2024

Correct Answer: nickel and iron


Solution : The correct answer is nickel and iron.

The earth's core is mainly made up of nickel and iron. It is composed of two layers: the outer core and the inner core. The outer core is in a liquid state, while the inner core

27 Views

Question : Abdul Karim Khan and Abdul Wahid Khan were the founders of the ________ Gharana.

Option 1: Jaipur - Atrauli

Option 2: Gwalior

Option 3: Agra

Option 4: Kirana

Team Careers360 19th Jan, 2024

Correct Answer: Kirana


Solution : The correct option is Kirana.

Abdul Karim Khan and Abdul Wahid Khan were the founders of the Kirana Gharana. It is a renowned school of classical Indian music known for its distinctive style characterised by intricate note patterns and emphasis on the purity of

22 Views

Question : Which articles of the Indian Constitution describe Fundamental Rights?

Option 1: Articles 5 to 11

Option 2: Articles 12 to 35

Option 3: Articles 36 to 51

Option 4: Articles 52 to 62

Team Careers360 23rd Jan, 2024

Correct Answer: Articles 12 to 35


Solution : The correct answer is Articles 12 to 35.

The Constitution ensures essential freedoms for all citizens, individually and collectively, through six categories of justifiable Fundamental Rights, detailed in Articles 12 to 35. These encompass the Right to Equality, including before the

13 Views

Question : After the Revolt of 1857 was put down by Britishers, which Mughal ruler was forced to leave the country?

Option 1: Bahadur Shah Zafar

Option 2: Farrukhsiyar

Option 3: Ahmad Shah Bahadur

Option 4: Muhammad Shah

Team Careers360 19th Jan, 2024

Correct Answer: Bahadur Shah Zafar


Solution : The correct option is Bahadur Shah Zafar.

Bahadur Shah Zafar was the 20th and last Mughal Emperor of India. He was also a famous Urdu poet. He was well known for his contribution to the Revolt of 1857. He was sent to

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