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21 Views

Question : Which of the following pairs of 'mineral–source' is correct?

I. Vitamin A – Papaya
II. Iron – Spinach

Option 1: Both I and II

Option 2: Neither I nor II

Option 3: Only I

Option 4: Only II

Team Careers360 25th Jan, 2024

Correct Answer: Both I and II


Solution : The correct option is Both I and II.

Papaya is indeed a good source of vitamin A. Vitamin A is a fat-soluble vitamin that plays a crucial role in maintaining healthy skin, vision, and immune function.

Spinach is a good source of

8 Views

Question : Directions: Jacob is the paternal uncle of Caroline. Aron and Jack are the brothers of Jill. Jill is the mother of Caroline. Mary is the mother of Jacob. Caroline is the wife of David. How is Caroline related to Aron?

Option 1: Sister

Option 2: Niece

Option 3: Daughter

Option 4: Daughter in law

Team Careers360 23rd Jan, 2024

Correct Answer: Niece


Solution : As per the given information, the family tree will be as follows –

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

So, from the above family tree, Caroline is the niece of Aron. Hence, the second option

13 Views

Question : Where did the so-called 'Black Hole Tragedy' take place?

Option 1: Dacca

Option 2: Munger

Option 3: Calcutta

Option 4: Murshidabad

Team Careers360 25th Jan, 2024

Correct Answer: Calcutta


Solution : The correct answer is Calcutta.

In 1756, Nawab Siraj-ud-Daulah was annoyed with the unfair trade practices of the British. He was also infuriated by the construction of Fort William without his permission. In retaliation to this, he seized Fort William in Calcutta and imprisoned

7 Views

Question : International Day for the Preservation of the Ozone Layer is observed on ______.

Option 1: September 13th

Option 2: September 10th

Option 3: September 16th

Option 4: September 18th

Team Careers360 25th Jan, 2024

Correct Answer: September 16th


Solution : The correct answer is September 16th.

Annually, on September 16th, the world observes the International Day for the Preservation of the Ozone Layer, commemorating the signing of the Montreal Protocol in 1987. The ozone layer is crucial in shielding the Earth from harmful ultraviolet

43 Views

Question : When was Khandesh merged into the Mughal empire by Akbar?

Option 1: 1601

Option 2: 1595

Option 3: 1597

Option 4: 1605

Team Careers360 20th Jan, 2024

Correct Answer: 1601


Solution : The correct answer is 1601

The Khandesh sultanate was conquered by Mughal Emperor Akbar in 1601, and Burhanpur was made the capital of Khandesh Subah. The prince chose Burhanpur as his headquarters when Jahangir named his second son Parvez as ruler of the Mughal

37 Views

Question : The salary of Amit is 75% of the salary of Aman. The salary of Amit increases by 40% and the salary of Aman increases by 10%. By what approximate percentage is the new salary of Aman more than the new salary of Amit?

Option 1: 6.2%

Option 2: 9.6%

Option 3: 5.5%

Option 4: 4.8%

Team Careers360 20th Jan, 2024

Correct Answer: 4.8%


Solution : Given: The salary of Amit is 75% of the salary of Aman. The salary of Amit increases by 40% and the salary of Aman increases by 10%.
Let Aman's original salary as 100
So, Amit's original salary = 100 × $\frac{75}{100}$ = 75 
After the

19 Views

Question : If $x=\operatorname{cosec \theta}-\sin\theta$ and $y=\sec\theta-\cos\theta$, then the relation between $x$ and $y$ is:

Option 1: $x^{2}+y^{2}+3=1$

Option 2: $x^{2}y^{2}\left ( x^{2}+y^{2}+3 \right )=1$

Option 3: $x^{2}\left ( x^{2}+y^{2}-5 \right )=1$

Option 4: $y^{2}\left ( x^{2}+y^{2}-5 \right )=1$

Team Careers360 25th Jan, 2024

Correct Answer: $x^{2}y^{2}\left ( x^{2}+y^{2}+3 \right )=1$


Solution : $x=\operatorname{cosec \theta}-\sin\theta$
⇒ $x=\frac{1}{\sin\theta}-\sin\theta=\frac{1-\sin^2\theta} {\sin\theta}=\frac{\cos^2\theta}{\sin\theta}$
Also, $x^2=(\frac{\cos^2\theta}{\sin\theta})^2$_____ (i)
$y=\sec\theta-\cos\theta$
⇒ $y=\frac{1}{\cos\theta}-\cos\theta=\frac{1-\cos^2\theta}{\cos\theta}=\frac{\sin^2\theta}{\cos\theta}$
⇒ $y^2=(\frac{\sin^2\theta}{\cos\theta})^2$_____ (ii)
So, $x^2+y^2=(\frac{\cos^2\theta}{\sin\theta})^2+(\frac{\sin^2\theta}{\cos\theta})^2$
⇒ $x^2+y^2=\frac{\cos^4\theta}{\sin^2\theta}+\frac{\sin^4\theta}{\cos^2\theta}$
⇒ $x^2+y^2=\frac{\cos^6\theta+\sin^6\theta}{\sin^2\theta\cos^2\theta}$
Add 3 to both sides, we get,
⇒ $x^2+y^2+3=\frac{\cos^6\theta+\sin^6\theta}{\sin^2\theta\cos^2\theta}+3$
⇒ $x^2+y^2+3=\frac{\cos^6\theta+\sin^6\theta+3\sin^2\theta\cos^2\theta(\sin^2\theta+\cos^2\theta)}{\sin^2\theta\cos^2\theta}$
⇒ $x^2+y^2+3=\frac{(\cos^2\theta+\sin^2\theta)^3}{\sin^2\theta\cos^2\theta}$
⇒ $x^2+y^2+3=\frac{1}{\sin^2\theta\cos^2\theta}$
⇒ $x^2+y^2+3=\frac{\sin^2\theta\cos^2\theta}{\sin^4\theta\cos^4\theta}$
⇒ $x^2+y^2+3=\frac{1}{(\frac{\cos^2\theta}{\sin\theta})^2×(\frac{\sin^2\theta}{\cos\theta})^2}$
From equation

21 Views

Question : Disguised unemployment in India is mainly related to:

Option 1: agricultural sector

Option 2: rural area

Option 3: factory sector

Option 4: urban area

Team Careers360 19th Jan, 2024

Correct Answer: agricultural sector


Solution : The correct answer is the agricultural sector.

Agriculture is the primary source of disguised unemployment in India. Agriculture employs the most people in India, accounting for more than half of the total. However, agricultural production is low, and there is an excess of

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