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Question : Select the option that arranges the given sentences in the correct sequence. The first sentence is in the correct position. A. A traffic policeman usually stands at the junction of roads. B. With these signs, he either stops people and vehicles, or allows them to pass by. C. He wears a white uniform and a pair of white gloves. D. Sometimes he stands on a high platform at the junction or under a flyover. E. In one hand he carries a red or green, lighted rod or a metal sign plate that says 'STOP'.
Option 1: ADCEB
Option 2: ACBED
Option 3: ABCED
Option 4: AECBD
Correct Answer: ADCEB
Solution : The first option is the correct choice.
The logical flow of information is:
Question : If $\sin \theta=\frac{6}{10}$ and $\cos\theta = \frac{8}{10}$, then $\sin2\theta =$ ______.
Option 1: $\frac{10}{8}$
Option 2: $\frac{12}{10}$
Option 3: $\frac{16}{10}$
Option 4: $\frac{24}{25}$
Correct Answer: $\frac{24}{25}$
Solution : Given, $\sin \theta=\frac{6}{10}$ and $\cos\theta = \frac{8}{10}$ $\sin2\theta =2\sin\theta\cos\theta$ ⇒ $\sin2\theta = 2\times \frac{6}{10}\times\frac{8}{10}$ ⇒ $\sin\theta = 2\times \frac{3}{5}\times \frac{4}{5}$ ⇒ $\sin2\theta = \frac{24}{25}$ Hence, the correct answer is $\frac{24}{25}$.
Question : Which of the following statements regarding coal is not correct?
Option 1: Anthracite is the highest quality hard coal.
Option 2: Coal that has been buried deep and subjected to increased temperatures is bituminous.
Option 3: Lignite is a low-grade brown coal, which is soft with high moisture content.
Option 4: Metallurgical coal is high-grade lignite coal which has a special value for smelting iron in blast furnaces.
Correct Answer: Metallurgical coal is high-grade lignite coal which has a special value for smelting iron in blast furnaces.
Solution : The correct answer is Metallurgical coal is high-grade lignite coal which has a special value for smelting iron in blast furnaces.
The metallurgical name that is used in
Question : Directions: In the following question, select the related number from the given alternatives. 8 : 32 :: 6 : ?
Option 1: 12
Option 2: 18
Option 3: 22
Option 4: 26
Correct Answer: 18
Solution : Given: 8 : 32 :: 6 : ?
Divide the square of the first number by 2 to obtain the second number of each pair. Like, 8 : 32→(8)2 ÷ 2 = 64 ÷ 2 = 32 Similarly, follow the same pattern for 6
Question : Normally animals can change the place, but which one of the following animals cannot change the place?
Option 1: Starfish
Option 2: Sponge
Option 3: Hydra
Option 4: Leech
Correct Answer: Sponge
Solution : The Correct Answer is Sponge
Sessile animals are those that do not move from one location to another. A Porifera member found in sponges. These organisms benefit from living a sessile lifestyle because it requires less energy for them to move through the water in
Question : Directions: In the following question, the sentence given with a blank is to be filled in with an appropriate word. Select the correct alternative out of the four.
They were worried about a new cult that ____ many followers.
Option 1: Is gaining
Option 2: Must be gaining
Option 3: Was gaining
Option 4: Were gaining
Correct Answer: Was gaining
Solution : The correct choice is the third option "was gaining."
This choice fits grammatically in the sentence and conveys the intended meaning that they were worried about a new cult that was actively acquiring many followers. The options ''is gaining'' and ''must be gaining'' are
Question : The bar graph given below shows the number of male teachers and female teachers in 5 schools. L1- The difference between the total number of male and female teachers in all the 5 schools. L2 = Total number of male and female teachers in school H. What is the value of $\frac{\text{L1}}{\text{L2}}$?
Option 1: 2.66
Option 2: 1.16
Option 3: 0.55
Option 4: 4.66
Correct Answer: 1.16
Solution : L1 = (Total male teachers) – (Total female teachers) = $(240+320+280+200+120)-(320+280+80+40+40+120)$ = $1160 - 880=280$ L2 = Total number of male and female teachers in school H = $120 + 120= 240$ Ratio = $\frac{\text{L1}}{\text{L2}}=\frac{280}{240}=\frac{7}{6} = 1.16$ Hence, the correct answer is 1.16.
Question : Select the most appropriate meaning of the given idiom. Drastic times call for drastic measures.
Option 1: When you are extremely desperate you need to take extremely desperate actions.
Option 2: Don't rely on it until you sure of it.
Option 3: Something that ends at the last minute or last few seconds.
Option 4: Do not pull all your resources in one possibility.
Correct Answer: When you are extremely desperate you need to take extremely desperate actions.
Solution : The correct choice is the first option.
This idiom suggests that in challenging or desperate situations, one may need to resort to extreme or unconventional measures to address the problem. It emphasises the idea
Question : Select the most appropriate option to fill in the blank. As there were reports of manipulation of scores in the previous exams, the aspirants demanded a process to ensure________ assessment for selection.
Option 1: will o’ the wisp
Option 2: hole and corner
Option 3: well off
Option 4: fair and square
Correct Answer: fair and square
Solution : The correct choice is the fourth option.
Explanation: Fair and square means just and honest, without any cheating or deception. In the context of the sentence, it aligns perfectly with the aspirants demanding an assessment process that ensures honesty and fairness in
Question : If $2x+\frac{1}{3x}$ = 5, then the value of $\frac{5x}{6x^{2}+20x+1}$ is:
Option 1: $\frac{1}{4}$
Option 2: $\frac{1}{6}$
Option 3: $\frac{1}{5}$
Option 4: $\frac{1}{7}$
Correct Answer: $\frac{1}{7}$
Solution : Given: $2x+\frac{1}{3x} = 5$ By cross-multiplying, ⇒ $\frac{6x^{2}+1}{3x} = 5$ ⇒ $6x^{2} + 1 = 15x$ ------------(i) Now, $\frac{5x}{6x^{2}+20x+1}$ = $\frac{5x}{15x+20x}$ = $\frac{5x}{35x}$ = $\frac{1}{7}$ Hence, the correct answer is $\frac{1}{7}$.
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