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Question : Environmental pollution can be controlled by:
Option 1: checking atomic blasts
Option 2: manufacturing electric vehicles
Option 3: sewage treatment
Option 4: all of the above
Correct Answer: all of the above
Solution : The correct option is all the above.
Environmental pollution may be reduced using a variety of methods such as Checking Atomic Blasts, particularly nuclear weapons testing, is critical for minimising radioactive contamination and the potentially disastrous environmental and health implications of
Question : Directions: In the following question, two statements are given followed by two conclusions I and II. You have to consider the two statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statements. Statements: Some scales are pencils. Some erasers are pencils. Conclusions: I. Some pencils are erasers. II. Some pencils are scales.
Option 1: Only I follows
Option 2: Only II follows
Option 3: Both I and II follow
Option 4: Neither I nor II follows
Correct Answer: Both I and II follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): Some pencils are erasers – From the Venn diagram, it is evident that the circles representing pencils and erasers overlap each
Question : Evaluate $\sqrt{20}+\sqrt{12}+\sqrt[3]{729}-\frac{4}{\sqrt{5}-\sqrt{3}}-\sqrt{81}:$
Option 1: $\sqrt{2}$
Option 2: $\sqrt{3}$
Option 3: $0$
Option 4: $2\sqrt{2}$
Correct Answer: $0$
Solution : $\sqrt{20}+\sqrt{12}+\sqrt[3]{729}-\frac{4}{\sqrt{5}-\sqrt{3}}-\sqrt{81}$ $=2\sqrt{5}+2\sqrt{3}+9-\frac{4}{\sqrt{5}-\sqrt{3}}\times\frac{\sqrt{5}+\sqrt{3}}{\sqrt{5}+\sqrt{3}}-9$ $=2(\sqrt{5}+\sqrt{3})-\frac{4\times(\sqrt{5}+\sqrt{3})}{5-3}$ $=(\sqrt{5}+\sqrt{3})(2-2)$ $=0$ Hence, the correct answer is $0$.
Question : Find the perimeter of a major sector of a circle of radius 12 metres, whose minor sector subtends an angle of 75° at the centre.
Option 1: $(24 + 5π)$ metres
Option 2: $(24 + 19π)$ metres
Option 3: $(24 – 5π)$ metres
Option 4: $(24 – 19π)$ metres
Correct Answer: $(24 + 19π)$ metres
Solution : Here, we have a radius of the circle = 12 m and a minor sector angle subtends an angle = 75º Angle subtended by major arc = 360º – 75º = 285º Perimeter of major arc = $2 \times \pi \times r
Question : Who was the founder of Kolkata's first "Atmiya Sabha" (philosophical discussion circle) held in 1815?
Option 1: Raja Ram Mohan Roy
Option 2: Lala Lajpat Rai
Option 3: Rabindranath Tagore
Option 4: Jawaharlal Nehru
Correct Answer: Raja Ram Mohan Roy
Solution : The correct answer is Raja Ram Mohan Roy.
The founder of Kolkata's first "Atmiya Sabha" (philosophical discussion circle) held in 1815 was Raja Ram Mohan Roy. He was a prominent social reformer, religious thinker and the founder of the Brahmo Sabha, which
Question : If two successive discounts of 50% and 10% are offered, what is the net discount (in %)?
Option 1: 50
Option 2: 55
Option 3: 60
Option 4: 65
Correct Answer: 55
Solution : Single equivalent discount = $(a+b-\frac{a×b}{100}$)%, where $a$% and $b$% are successive discounts. First discount = 50% Second discount = 10% So, single discount = $50 + 10 - \frac{50×10}{100}= 55$% Hence, the correct answer is 55.
Question : Directions: Which two signs should be interchanged to make the given equation correct? 5 × 6 –7 + 24 ÷ 12 = 35
Option 1: + and =
Option 2: + and –
Option 3: = and –
Option 4: × and –
Correct Answer: + and –
Solution : Given: 5 × 6 – 7 + 24 ÷ 12 = 35
Replace the given symbols in the options one by one with the original symbols in the given equation. First option: + and = 5 × 6 – 7 = 24 ÷
Question : The difference between two numbers is 9 and the difference between their squares is 207. The numbers are:
Option 1: 17 and 8
Option 2: 16 and 7
Option 3: 15 and 6
Option 4: 15 and 7
Correct Answer: 16 and 7
Solution : Given: The difference between the two numbers is 9. The difference between their squares is 207. Let the numbers be $x$ and $y$. Difference between the numbers $(x-y)=9$ ----------------------(1) Difference between their squares $(x^{2}-y^{2})=207$ $⇒(x-y)(x+y)=207$ ---------------------------(2) Substituting the value of $(x-y)$ in equation
Question : Directions: In this question, the statement is followed by two conclusions. Which of the two conclusion(s) is/are true? Statement: Z > F ≥ A = B = G > S < E Conclusions: I. Z < A II. G < F
Option 1: Only conclusion I is true
Option 2: Only conclusion II is true
Option 3: Both conclusions I and II are true
Option 4: Neither conclusion I nor II is true
Correct Answer: Neither conclusion I nor II is true
Solution : Given: Statement: Z > F ≥ A = B = G > S < E
Let's check the conclusions – Conclusion (I): Z < A→This conclusion is false as Z > F ≥ A ⇒ Z > A Conclusion
Question : The Jawaharlal Nehru Award is given for
Option 1: Government service
Option 2: Literary work
Option 3: International understanding
Option 4: Social work
Correct Answer: International understanding
Solution : The correct answer is International Understanding.
The Jawaharlal Nehru Award for International Understanding is an international award given by the Government of India in memory of India's late Prime Minister Jawahar Lal Nehru. He is well-known for his internationalist outlook.
The Indian Council for
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