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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 : The difference between compound interest (compounding annually) and simple interest on a sum at the rate of 30% per annum for 2 years is INR 3,600. What is the sum?
Option 1: INR 75,000
Option 2: INR 40,000
Option 3: INR 50,000
Option 4: INR 60,000
Correct Answer: INR 40,000
Solution : Difference between compound interest (compounding annually) and simple interest = INR 3600 Rate, $R$ = 30% Term = 2 years Let $P$ be the principal sum. Difference between compound interest (compounding annually) and simple interest for 2 years $=P×(\frac{R}{100})^2$ $⇒ 3600 = P×(\frac{30}{100})^2$ $⇒
Question : The speeds of a boat along the current and against the current are 10 km/hr and 8 km/hr, respectively. What is the speed (in km/hr) of the current?
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 9
Correct Answer: 1
Solution : Let the speed of the boat be $x$ km/hr. The speed of the current is $y$ km/hr. Speed of boat along the current = Speed of boat + Speed of current $x+y$ = 10 km/hr ----(1) Speed of boat against the current = Speed of
Question : Directions: Six people are sitting in two parallel rows with 3 people each in such a way that there is equal distance between adjacent persons. S, T, and U are seated in the same row facing south. X, Y, and Z are seated in the same row facing north. U sits at the extreme right end of their row and is exactly opposite X. T is the immediate neighbour of U and sits exactly opposite Z. Who sits at the extreme right end of the row facing North?
Option 1: Z
Option 2: Y
Option 3: U
Option 4: X
Correct Answer: Y
Solution : Given: 1. S, T, and U are seated in the same row facing south. X, Y, and Z are seated in the same row facing north. 2. U sits at the extreme right end of their row and is exactly opposite X. T is the
Question : In which of the following Indian states does the southwest monsoon set first to give rainfall?
Option 1: Goa
Option 2: Andhra Pradesh
Option 3: Kerala
Option 4: Tamil Nadu
Correct Answer: Kerala
Solution : The correct option is Kerala.
The southwest monsoon typically arrives first in the state of Kerala, located in the southwestern part of India. Kerala is usually the first state to experience the onset of the southwest monsoon, marking the beginning of the rainy season
Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer
The theoretical framework is finished by identifying indicators to be used in the ___ of the success of such policies.
Option 1: evaluation
Option 2: completion
Option 3: formation
Option 4: rotation
Correct Answer: evaluation
Solution : The correct answer is the first option, i.e., evaluation.
It refers to the assessment or examination of something to determine its effectiveness, worth, or success. In the context of the sentence, indicators are identified to be used in the evaluation of the success of policies.
Question : Comprehension: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
It was a matter of (1)_________ pleasure that the Chief of Police himself came up to us and congratulated us on our successful efforts in reducing the (2)___________ of child marriages in our area. We were also (3) _________ by other (4) _________ present at the event. Our dear leader, the founder of our NGO, Mr. Kumar, was (5) _________ by the mayor with a bouquet.
Question: Select the most appropriate option to fill in the blank number 2.
Option 1: aggregate
Option 2: limit
Option 3: number
Option 4: quota
Correct Answer: number
Solution : The correct choice is the third option.
Number is the appropriate word, as it helps convey that the Chief of Police congratulated them on reducing the number of child marriages in their area.
Question : Directions: If A – B means that A is the brother of B, A + B means that A is the sister of B, and A ÷ B means that A is the father of B, then which of the following expressions shows that P is the paternal uncle of R?
Option 1: P + Q ÷ R
Option 2: P ÷ Q – R
Option 3: P – Q ÷ R
Option 4: P – Q + R
Correct Answer: P – Q ÷ R
Solution : Let's check the options – First option: P + Q ÷ R According to the given expression, the family tree will be as follows –
Here, the quadrilateral represents the male, and the circular figure represents the female in the figure.
Question : Why is the Mahabharata considered a significant text for studying ancient Indian society?
Option 1: It outlines political structures
Option 2: It provides insights into social and cultural aspects
Option 3: It details technological inventions
Option 4: It describes economic theories
Correct Answer: It provides insights into social and cultural aspects
Solution : The Mahabharata is considered a significant text for studying ancient Indian society because it provides insights into social and cultural aspects, reflecting the values and beliefs of the time.
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