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Question : A tree of height $h$ metres is broken by storm in such a way that its top touches the ground at a distance of $x$ metres from its root. Find the height at which the tree is broken. (Here $h>x$)
Option 1: $\frac{h^2+x^2}{2h}$ metre
Option 2: $\frac{h^2-x^2}{2h}$ metre
Option 3: $\frac{h^2+x^2}{4h}$ metre
Option 4: $\frac{h^2-x^2}{4h}$ metre
Correct Answer: $\frac{h^2-x^2}{2h}$ metre
Solution : Given: AB = Height of tree = $h$ metre Let the height at which the tree is broken, AC = $y$ metre BC = CD = Broken part of tree = $(h – y)$ metre ∴ In ∆ ACD, AC2 + AD2
Question : Comprehension: Read the given passage and answer the questions that follow. With an impressive growth in yields, Telangana now claims to be transforming into the rice bowl of India. The Food Corporation of India (FCl) has procured 52 lakh tonnes of paddy from Telangana alone, which is more than half of the national target of 91 lakh tonnes. The state's harvests have nearly doubled in a year. Paddy production is up 93%, maize 95%, and cotton 74%, according to the Telangana Planning Department.
The state is also making its mark as a producer of paddy seed. "About 85% of our village's paddy is of a fine variety that farmers in MP, Haryana, Bengal, and Bihar use as seed," said a farmer in Anksapur Village in Nizamabad district. The seed crop sells at a premium over the state's minimum support price for paddy.
Question: What are the main crops of Telangana, according to the details in the passage?
Option 1: Paddy seed, cotton, and maize
Option 2: Rice, paddy, and cotton
Option 3: Paddy, paddy seed, and maize
Option 4: Cotton, maize, and paddy
Correct Answer: Cotton, maize, and paddy
Solution : The correct option is the fourth option.
Explanation: The passage explicitly mentions the impressive growth in yields of paddy, maize, and cotton in Telangana. It highlights the significant increase in production percentages for these crops, indicating their importance in the state's agricultural
Question : Directions: If A denotes +, B denotes ×, C denotes –, and D denotes ÷, then what will be the value of the following expression? 50 A 86 C 40 D 10 B 5 = ?
Option 1: 124
Option 2: 150
Option 3: 116
Option 4: 134
Correct Answer: 116
Solution : Given: 50 A 86 C 40 D 10 B 5 = ?
On interchanging the mathematical signs, we get – = 50 + 86 – 40 ÷ 10 × 5 = 50 + 86 – 4 × 5 = 136 – 20 = 116
Hence,
Question : ______ Law of independent migration of ions states that limiting the molar conductivity of an electrolyte can be represented as the sum of the individual contributions of the anion and cation of the electrolyte.
Option 1: Schrodinger
Option 2: Feynman
Option 3: Kohlrausch
Option 4: Dirac
Correct Answer: Kohlrausch
Solution : The correct answer is Kohlrausch.
According to Kohlrausch's law of independent ion migration, an electrolyte's limiting molar conductivity can be expressed as the total of the individual contributions made by its cations and anions. Because there are fewer ions available for conduction, a solution's
Question : Select the correct meaning of the idiom in bold and italics.
Sometimes I just have to resort to the carrot and stick approach with my children.
Option 1: Mixture of rewards and punishments
Option 2: Waste one's efforts by pursuing the wrong thing or path
Option 3: Practically identical in appearance
Option 4: To be optimistic or enthusiastic
Correct Answer: Mixture of rewards and punishments
Solution : The first option is correct.
Explanation: The idiom carrot and stick approach is a metaphorical expression derived from the idea of motivating a donkey to move forward by dangling a carrot in front of it and simultaneously threatening with a stick
Question : Which of the following states has got first of its kind state-level bird atlas in India?
Option 1: Kerala
Option 2: Maharashtra
Option 3: Rajasthan
Option 4: Andhra Pradesh
Correct Answer: Kerala
Solution : The correct option is Kerala.
The first-of-a-kind state-level bird atlas is in Kerala. It covers several species found in Kerala. It has details of the rare species and the common species found in Kerala. Kerala is also known as "God's Own Country." It is also
Question : Select the most appropriate option that can substitute the underlined segment in the given sentence. If there is no need to substitute it, select ‘No substitution required’. He and his father take a ride every morning to the top of the hill.
Option 1: taking a ride
Option 2: No substitution required
Option 3: takes an ride
Option 4: takes a ride
Correct Answer: No substitution required
Solution : The correct choice is the second option.
The original sentence, "He and his father take a ride every morning to the top of the hill", is grammatically correct. It describes the regular action of both a person and their father riding to
Question : Select the word segment that substitutes (replaces) the bracketed word segment correctly and completes the sentence meaningfully. Select the option 'no correction required' if the sentence is correct as given.
With a (sudden push off understanding), Harry realised who the people in the end beds must be.
Option 1: sudden rush of understanding
Option 2: suddenly rushed understanding
Option 3: No correction required
Option 4: all of sudden understand
Correct Answer: sudden rush of understanding
The corrected phrase is, with a sudden rush of understanding.
This phrase suggests that Harry had a sudden and intense moment of clarity or realisation about the identity of the people in the end beds. It signifies
Question : Directions: In the following question a series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series. 3, 6, 18, 21, 63, 66, ?
Option 1: 181
Option 2: 160
Option 3: 147
Option 4: 198
Correct Answer: 198
Solution : Given: 3, 6, 18, 21, 63, 66, ?
In the above-given series, add and multiply 3 alternatively to the previous term to get the next term – 3 + 3 = 6; 6 × 3 = 18; 18 + 3 = 21; 21 × 3
Question : Identify the correct statement
Option 1: The resistance of a wire depends on the length and density of the wire.
Option 2: Specific resistance is the same for all conductors.
Option 3: The resistance of a wire depends on the length and cross-section of the wire.
Option 4: Specific resistance is dependent on the cross-sectional area of the wire.
Correct Answer: The resistance of a wire depends on the length and cross-section of the wire.
Solution : The correct answer is The resistance of a wire depends on the length and cross-section of the wire.
The resistance of a conductor is determined by the following characteristics.
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