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Question : Identify the INCORRECTLY spelt word in the given sentence. A study of metaphysics is the study of the nature of realty, of what exists in the world, what it is like and how it is ordered.
Option 1: metaphysics
Option 2: Study
Option 3: Nature
Option 4: Realty
Correct Answer: Realty
Solution : The correct choice will be the fourth option.
The incorrectly spelt word in the given sentence is realty. The correct spelling is reality.
Realty refers to real estate or property, while reality refers to the state of things as they exist, the nature of the
Question : Which of the following statements is correct regarding the State Commission?
Option 1: It consists of a President and not less than two other members, one of whom should be a woman
Option 2: The members are appointed by the State Government concerned
Option 3: A complaint can be made to the appropriate State Commission when the value of the goods or services in question, along with the compensation claimed, exceeds 20 lakhs but does not exceed 1 crore.
Option 4: All of the above
Correct Answer: All of the above
Solution : Each state commission consists of one President and at least two other members one of whom should be a woman. They are all appointed by the concerned state government. A consumer can make a complaint to the state commission when value of
Question : Which of the following is the highest quality coal?
Option 1: Lignite
Option 2: Bituminous
Option 3: Peat
Option 4: Anthracite
Correct Answer: Anthracite
Solution : The correct option is Anthracite.
Anthracite coal is considered to have the highest quality among the various types of coal. It has a high carbon content, low impurities, and a high energy density, making it a desirable choice for heating and industrial applications.
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Question : Find the value of $\sqrt{30+\sqrt{30+\sqrt{30+...}}}$ :
Option 1: 5
Option 2: $3\sqrt{10}$
Option 3: 6
Option 4: 7
Correct Answer: 6
Solution : Let $x = \sqrt{30+\sqrt{30+\sqrt{30+...}}}$ So, ${x = }\sqrt{30+x}$ By squaring both sides, we get, $⇒x^{2}=(\sqrt{30+x})^{2}$ $⇒x^{2}=30+x$ $⇒x^{2}–x–30=0$ $⇒x^{2}– 6x+5x–30=0$ $⇒x(x–6)+5(x–6) = 0$ $⇒(x–6)(x+5)=0$ $⇒x=6,–5$ A square root cannot be negative. Thus, $x$ cannot be –5. So, $x = 6$ Hence, the correct answer is 6.
Question : Pipes A and B can fill a tank in 12 minutes and 15 minutes, respectively. The tank when full can be emptied by pipe C in $x$ minutes. When all three pipes are opened simultaneously, the tank is full in 10 minutes. The value of $x$ is:
Option 1: 18
Option 2: 15
Option 3: 20
Option 4: 24
Correct Answer: 20
Solution : Pipe A can do 1 unit work = $\frac{1}{12}$ minutes Pipe B can do 1 unit work = $\frac{1}{15}$ minutes Pipe C can do 1 unit work = $-\frac{1}{x}$ minutes Together they can fill the tank = $\frac{1}{10}$ minutes Total work = Efficiency × days
Question : Using the consumption function, Calculate saving at income level of 2500 crore, if autonomous consumption is 200 crore and 60% of additional income is consumed.
Option 1: 1000
Option 2: 600
Option 3: 800
Option 4: 200
Correct Answer: 800
Solution : MPC= 0.6
MPS=0.4
S= -200+0.4(2500)
S= 800
Hence, Option C is correct.
Question : Assertion: In the controlling process, corrective action is taken only after deviations occur.
Reason: Corrective action aims to address deviations and prevent future occurrences.
Option 1: Both assertion and reason are true, and the reason correctly explains the assertion.
Option 2: Both assertion and reason are true, but the reason does not correctly explain the assertion.
Option 3: The assertion is true, but the reason is false.
Option 4: The assertion is false, but the reason is true.
Correct Answer: Both assertion and reason are true, and the reason correctly explains the assertion.
Solution : The correct answer is (a) Both assertion and reason are true, and the reason correctly explains the assertion.
This assertion is true. In the controlling process, corrective action is typically initiated in response
Question : If the ratio of principal and the simple interest for 5 years is 10 : 3, then the rate of interest is:
Option 1: 5%
Option 2: 6%
Option 3: 8%
Option 4: 3%
Correct Answer: 6%
Solution : According to the question, $\frac{\text{Principal}}{\text{Simple interest}}=\frac{10}{3}$ Let, Principal = Rs. 10 Simple Interest (SI) for 5 years = Rs. 3 So, SI for 1 year = $\frac{3}{5} =0.6$ $\therefore$ Rate = $\frac{\text{Simple interest}\times 100}{\text{Principal × Time}}=\frac{0.6\times 100}{10 \times 1}=6$% Hence, the correct answer is 6%.
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