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29 Views

Question : If $(2000)^{10} = 1.024×10^{k}$, then the value of $k$ is:

Option 1: 33

Option 2: 30

Option 3: 34

Option 4: 31

Team Careers360 16th Jan, 2024

Correct Answer: 33


Solution : Given: $(2000)^{10} = 1.024×10^{k}$
⇒ $(2×1000)^{10} = \frac{1024}{1000}×10^{k}$
⇒ $2^{10}×10^{30} = 2^{10}×10^{k–3}$
⇒ $10^{30} =10^{k-3}$
By comparing the powers, we get:
$(k-3) = 30$
$\therefore k = 33$
Hence, the correct answer is 33.

15 Views

Question : Vidushi Sharan Rani is famous for playing which musical instrument?

Option 1: Flute

Option 2: Sitar

Option 3: Tabla

Option 4: Sarod

Team Careers360 20th Jan, 2024

Correct Answer: Sarod


Solution : The correct answer is Sarod.

Sarod is linked to Indian artist Sharan Rani. She is India's first female sarod player. Sharan Rani was designated as the "Cultural Ambassador of India" by Jawaharlal Nehru. In 2000, she received the Padma Bhushan.

24 Views

Question : In whose consultation does the President convene and prorogue all sessions of Parliament?

Option 1: The Speaker

Option 2: The Prime Minister

Option 3: The Prime Minister and the leader of the Opposition in Lok Sabha

Option 4: The Council of Ministers

Team Careers360 23rd Jan, 2024

Correct Answer: The Prime Minister


Solution : The correct answer is The Prime Minister.

The President may occasionally convene each House of Parliament to meet at whatever time and location he deems appropriate in consultation with the Prime Minister, but no more than six months may elapse between the date

15 Views

Question : If $\tan \theta=\frac{8}{15}$, then the value of $\sqrt{\frac{1-\sin \theta}{1+\sin \theta}}$ is:

Option 1: $\frac{1}{5}$

Option 2: $\frac{3}{5}$

Option 3: $\frac{2}{5}$

Option 4: $\frac{4}{5}$

Team Careers360 13th Jan, 2024

Correct Answer: $\frac{3}{5}$


Solution :

$\tan \theta=\frac{8}{15}=\frac{\text{Perpendicular}}{\text{Base}}$
$\therefore$ Hypotenuse = $\sqrt{8^2+15^2}=\sqrt{289}= 17$
So, $\sin \theta=\frac{8}{17}$
$\sqrt{\frac{1-\sin \theta}{1+\sin \theta}}=\sqrt{\frac{1-\frac{8}{17}}{1+\frac{8}{17}}}=\sqrt{\frac{\frac{9}{17}}{\frac{25}{17}}}=\sqrt{\frac{9}{25}}=\frac{3}{5}$
Hence, the correct answer is $\frac{3}{5}$.

42 Views

Question : If 60% of A = 30% of B, B = 40% of C, and C = $x$% of A, the value of $x$ is:

Option 1: 200

Option 2: 500

Option 3: 800

Option 4: 300

Team Careers360 14th Jan, 2024

Correct Answer: 500


Solution : Given: 60% of A = 30% of B, B = 40% of C, and C = $x$% of A
Here, C = $x$% of A ⇒ C = $\frac{x×A}{100}$
and B = 40% of C ⇒ B = $\frac{40×C}{100}$ ⇒ B = $\frac{40×x×A}{100×100}$ = $\frac{2×x×A}{500}$

34 Views

Question : Directions: In a certain code language,
N + V means N is the daughter of V,
N – V means N is the father of V,
N @ V means N is the wife of V,
N × V means N is the son of V.
If B + R × M – P, then how is B related to M?

Option 1: Sister

Option 2: Daughter

Option 3: Daughter's daughter

Option 4: Son's daughter

Team Careers360 18th Jan, 2024

Correct Answer: Son's daughter


Solution : According to the given information, the family tree will be – 

Here, the quadrilateral represents the male, and the circular figure represents the female in the figure.

So, from the above, it is clear that B is the son's daughter (granddaughter) of M. Hence,

444 Views

Question : The marked price of mustard oil is 25% more than its cost price. At what percentage less than the marked price should it be sold to have no profit and no loss?

Option 1: 15%

Option 2: 20%

Option 3: 18%

Option 4: 22%

Team Careers360 21st Jan, 2024

Correct Answer: 20%


Solution : Let the cost price be Rs. 100
Then, marked price = 25% of CP = Rs. 125
If the oil is to be sold at no profit and no loss, the selling price should be Rs. 100
$\text{Percentage decrease} = \frac{\text{Marked price – selling price}}{\text{Marked

19 Views

Question : Select the option that can be used as a one-word substitute for the given group of words.
A group of stars having a particular shape.

Option 1: Constellation

Option 2: Planet

Option 3: Orbit

Option 4: Galaxy

Team Careers360 15th Jan, 2024

Correct Answer: Constellation


Solution : The first option is the correct answer.

A constellation is a group of stars forming a recognisable pattern or shape, often named after mythological figures, animals, or objects. Constellations are visible from Earth and have been used for navigation and storytelling throughout history.

The meanings

19 Views

Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer.
The aim of a Peace Council is ___ rather than cure.

Option 1: salvation

Option 2: preservation

Option 3: maintenance

Option 4: cultivation

Team Careers360 10th Jan, 2024

Correct Answer: preservation


Solution : The second option is the correct answer: preservation.

Salvation: The act of saving or being saved from a difficult situation, often with a religious connotation.

Preservation: The act of protecting something from damage and maintaining it in its original state.

Maintenance: The

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