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Question : The constitution of India was adopted on

Option 1: 26 January,1950

Option 2: 26 January,1949

Option 3: 26 November,1949

Option 4: 31 December,1949

Team Careers360 19th Jan, 2024

Correct Answer: 26 November,1949


Solution : Correct Answer is 26 November,1949

In India, the day the Indian Constitution came into force is commemorated and celebrated as Republic Day.  The Constitution establishes a parliamentary system of government and a federal system of government with some unitary components. This became the nation's

33 Views

Question : Identify and correct the INCORRECTLY spelt word in the given sentence.

Successful people often have a role modal who inspired them to greatness.

Option 1: greatness

Option 2: successful

Option 3: inspired

Option 4: modal

Team Careers360 15th Jan, 2024

Correct Answer: modal


Solution : The incorrectly spelt word in the sentence is the fourth option.

The correct spelling is model. In the context of the sentence, a "role model" refers to a person who serves as an example or inspiration for others.

The meanings of other options are as

15 Views

Question : Which Charter Act brought to an end, the East India Company's monopoly in India's foreign trade ?

Option 1: Charter Act of 1853

Option 2: Charter Act of 1793

Option 3: Charter Act of 1813

Option 4: Charter Act of 1833

Team Careers360 23rd Jan, 2024

Correct Answer: Charter Act of 1813


Solution : The Correct Answer is  Charter Act of 1813

This charter act from 1813 maintained the Crowns' control over the British companies in India. Trade in opium, tea, and goods from China persisted even after their monopoly over every other company was broken.

22 Views

Question : A chord of length 48 cm is at a distance of 7 cm from the centre of the circle. What is the length of the chord of the same circle which is at a distance of 15 cm from the centre of the circle?

Option 1: 40 cm

Option 2: 45 cm

Option 3: 35 cm

Option 4: 42 cm

Team Careers360 22nd Jan, 2024

Correct Answer: 40 cm


Solution :
The perpendicular from the centre of a circle to a chord bisects the chord.
By Pythagoras theorem:
Hypotenuse2 = Base2 + Perpendicular2
MP = PN = $\frac{\text{MN}}{2}$ = $\frac{48}{2}$ = 24 cm
Distance from the centre as $d_{1}$ = 15 cm

12 Views

Question : Simplify the following.
$\frac{\sin^3 \alpha+\cos^3 \alpha}{\sin \alpha+\cos \alpha}$

Option 1: $1+\sin \alpha \cos \alpha$

Option 2: $\tan \alpha$

Option 3: $1-\sin \alpha \cos \alpha$

Option 4: $\sec \alpha$

Team Careers360 23rd Jan, 2024

Correct Answer: $1-\sin \alpha \cos \alpha$


Solution : $\frac{\sin^3 \alpha+\cos^3 \alpha}{\sin \alpha+\cos \alpha}$
= $\frac{(\sin \alpha+\cos \alpha)(\sin^2 \alpha+\cos^2 \alpha–\sin \alpha\cos \alpha)}{\sin \alpha+\cos \alpha}$
= $(1–\sin \alpha\cos \alpha)$ [$\because \sin^2 \alpha+\cos^2 \alpha=1]$
Hence, the correct answer is $(1–\sin \alpha\cos \alpha)$.

15 Views

Question : $\cos^3 60°-\cos^3 240°-\cos^3 360°=$ _________.

Option 1: $-\frac{3}{4}$

Option 2: $-\frac{7}{5}$ 

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

Option 4: $-\frac{9}{7}$

Team Careers360 22nd Jan, 2024

Correct Answer: $-\frac{3}{4}$


Solution : Given: $\cos ^3 60°-\cos ^3 240°-\cos ^3 360°$
Now, $\cos60°=\frac{1}{2}$
$\cos240°=\cos(180°+60°)=-\cos60°=-\frac{1}{2}$
$\cos360°=\cos(360°+0°)=\cos0°=1$
So, $\cos^3 60°-\cos^3 240°-\cos^3 360°$
= $(\frac{1}{2})^3-(-\frac{1}{2})^3-(1)^3$
= $\frac{1}{8}+\frac{1}{8}-1$
= $-\frac{3}{4}$
Hence, the correct answer is $-\frac{3}{4}$.

160 Views

Question : Read the sentence carefully and select the synonym of the underlined word from the given alternatives.

As the effect of anaesthesia dissipated the patient regained consciousness.

Option 1: Enhanced

Option 2: Heightened

Option 3: Returned

Option 4: Disappeared

Team Careers360 20th Jan, 2024

Correct Answer: Disappeared


Solution : The fourth option is the correct choice.

In the given sentence, the word dissipated means to gradually disappear or fade away. Disappeared is a synonym that closely aligns with the meaning of dissipated. In the context of the sentence, it refers to the gradual

12 Views

Question : Directions: In the following question a series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series.
–1, 0, ?, 8, 15, 24

Option 1: 4

Option 2: 3

Option 3: 2

Option 4: 1

Team Careers360 14th Jan, 2024

Correct Answer: 3


Solution : Given:
–1, 0, ?, 8, 15, 24 

Add consecutive odd numbers to the previous term to obtain the next term in the series –
–1 + 1 = 0; 0 + 3 = 3; 3 + 5 = 8; 8 + 7 = 15; 15

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