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Question : Comprehension: In the following passage, some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each number.
Human activities are changing Earth's natural greenhouse 1. _________. Burning fossil fuels like coal and oil puts 2. _________carbon dioxide into our atmosphere. NASA has 3.__________increase in the amount of carbon dioxide and some other greenhouse gases in 4. ___________atmosphere. Too much of these greenhouse gases can 5. __________Earth's atmosphere to trap more and more heat. This causes Earth to warm up.
Question: Select the most appropriate option to fill in the blank No. 3.
Option 1: to observe
Option 2: observing
Option 3: observe
Option 4: observed
Correct Answer: observed
Solution : The fourth option is correct.
Explanation:
In the sentence, "an increase in the amount of carbon dioxide" indicates what NASA has observed, specifically a rise in the quantity of carbon dioxide. So, the sentence means that NASA has detected and documented a rise in
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
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
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
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
Question : Where did the so-called 'Black Hole Tragedy' take place?
Option 1: Dacca
Option 2: Munger
Option 3: Calcutta
Option 4: Murshidabad
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
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
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
Question : When was Khandesh merged into the Mughal empire by Akbar?
Option 1: 1601
Option 2: 1595
Option 3: 1597
Option 4: 1605
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
Question : Directions: Consider the given statement to be true, even if it seems to be at variance from commonly known facts. You have to decide which of the following conclusions or assumptions be drawn from the given statement. Statement: Honesty is the best policy. Conclusions: I. All should be honest. II. Only some people should be honest.
Option 1: Only conclusion I follows
Option 2: Only conclusion II follows
Option 3: Both conclusion I and conclusion II follow
Option 4: Neither conclusion I nor conclusion II follows
Correct Answer: Only conclusion I follows
Solution : Let's analyse the conclusions – Conclusion I: All should be honest. The statement states that Honesty is the best policy so everyone should be honest. Honest people are loved by everyone and honesty helps to earn respect. Therefore, this conclusion follows. Conclusion
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%
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
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: $y^{2}\left ( x^{2}+y^{2}-5 \right )=1$
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
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
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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