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Question : Directions: In the question, a sentence is given with a blank to be filled in with an appropriate word. Four alternatives are suggested for each question. Choose the correct alternative out of the four alternatives.
Guard ____ spelling mistakes.
Option 1: against
Option 2: after
Option 3: above
Option 4: at
Correct Answer: against
Solution : The correct choice to fill in the blanks is the first option.
"Guard against" means to take careful action in order to try to prevent something from happening, and in the context of the sentence, it implies taking careful measures to prevent spelling mistakes.
Therefore,
Question : If the side of an equilateral triangle is 8 cm, then find the area of the triangle (correct to two decimal places).
Option 1: 27.17 cm2
Option 2: 27.27 cm2
Option 3: 27.71 cm2
Option 4: 27.72 cm2
Correct Answer: 27.71 cm2
Solution : Given: The side of an equilateral triangle = 8 cm So, the area of the equilateral triangle = $\frac{\sqrt3 a^2}{4}$ = $\frac{\sqrt3× 8^2}{4}$ = $16\sqrt3$ = 16 × 1.732 = 27.71 cm2 Hence, the correct answer is 27.71 cm2.
Question : Which of the following was the debutant team in the ICC women T20 World Cup 2020?
Option 1: Thailand
Option 2: Bangladesh
Option 3: Ireland
Option 4: Afghanistan
Correct Answer: Thailand
Solution : The correct answer is Thailand.
Thailand qualified for a Women's T20 World Cup competition for the first time. Following the end of the qualification round, Bangladesh was assigned to Group A, while Thailand was assigned to Group B. Thailand's participation in the ICC Women's T20
Question : The phenomenon of raising the outer edge of the curved roads above the inner edge to provide the necessary centripetal force to the vehicles to take a safe turn is called __________________.
Option 1: Banking of roads
Option 2: Cornering of roads
Option 3: Elevation of roads
Option 4: Tempering of roads
Correct Answer: Banking of roads
Solution : The correct option is the Banking of roads.
A construction method known as road banking is used to make curving roads safer for vehicles to travel on at faster speeds. The road surface can be carefully tilted to raise the outer edge
Question : Identify the INCORRECTLY spelt word in the following sentence and select its correct spelling from the given options. Your lack of knowledge of recent advances in technology will be a sitback for your business.
Option 1: advancess
Option 2: knowleidge
Option 3: bussiness
Option 4: setback
Correct Answer: setback
Solution : The correct choice is the fourth option.
All the spellings, except sitback, have been spelt correctly. In this spelling, 'i' should be replaced with 'e'.
Setback: It means a reversal or check in progress.
Therefore, the correct answer is setback.
Question : If $\cos \left(2 \theta+54^{\circ}\right)=\sin \theta, 0^{\circ}<\left(2 \theta+54^{\circ}\right)<90^{\circ}$, then what is the value of $\frac{1}{\tan 5 \theta+\operatorname{cosec} \frac{5 \theta}{2}}$?
Option 1: $3\sqrt2$
Option 2: $2-\sqrt{3}$
Option 3: $2\sqrt3$
Option 4: $2+\sqrt{3}$
Correct Answer: $2-\sqrt{3}$
Solution : Given that $\cos \left(2 \theta+54^{\circ}\right)=\sin \theta$ and $0^{\circ}<\left(2 \theta+54^{\circ}\right)<90^{\circ}$ $⇒\cos \left(2 \theta+54^{\circ}\right)=\cos(90^{\circ}-\theta)$ Solving for $\theta$, $⇒ \left(2 \theta+54^{\circ}\right)= (90^{\circ}-\theta)$ $⇒3 \theta=36^{\circ}$ $⇒\theta=12^{\circ}$ $⇒\tan 5 \theta=\tan \left(60^{\circ}\right)=\sqrt{3}$ $⇒\operatorname{cosec} \frac{5 \theta}{2}=\operatorname{cosec} \left(30^{\circ}\right)=2$ Now, $\frac{1}{\tan 5 \theta+\operatorname{cosec}\frac{5 \theta}{2}}$ $=\frac{1}{\sqrt{3}+2}$ $=\frac{1}{\sqrt{3}+2}\times\frac{2-\sqrt{3}}{2-\sqrt{3}}$ $=2-\sqrt{3}$ Hence, the correct answer is $2-\sqrt{3}$.
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 - Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (17, 126, 7) (31, 286, 9)
Option 1: (29, 270, 9)
Option 2: (36, 223, 6)
Option 3: (42, 173, 4)
Option 4: (12, 117, 9)
Correct Answer: (36, 223, 6)
Solution : Given: (17, 126, 7); (31, 286, 9)
Here, (17, 126, 7)→(17 × 7) + 7 = 119 + 7 = 126 (31, 286, 9)→(31 × 9) + 7 = 279 + 7 = 286
Let's check each option – First option: (29, 270,
Question : Which one of the following inscriptions relates to the Chalukya king, Pulakesin II?
Option 1: Maski
Option 2: Hathigumpha
Option 3: Aihole
Option 4: Nasik
Correct Answer: Aihole
Solution : The correct answer is Aihole.
Aihole is an ancient archaeological site in Karnataka known for its historic temples and inscriptions. The inscriptions at Aihole are related to the Chalukya king Pulakesin II. Pulakesin II is credited with expanding the Chalukya Empire to its zenith. His
Question : RAM is used as a short memory in a computer because it:
Option 1: is volatile
Option 2: is programmable
Option 3: has less capacity
Option 4: is very expensive
Correct Answer: is volatile
Solution : The correct option is volatile.
Random-access memory (RAM) is a widely used computing abbreviation. It is also referred to as memory or PC memory. Because RAM is volatile, it serves as the short-term memory for your laptop or computer. Your computer processor needs to
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.
I haven't had _____opportunity to study during the day.
Option 1: very
Option 2: many
Option 3: much
Option 4: more
Correct Answer: much
Solution : The third option is the correct answer: much.
"much" is an adjective or adverb used to indicate a large quantity, degree, or extent of something. "Very" expresses a great degree, "Many" is an adjective indicating a large countable quantity and
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