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Question : Select the most appropriate ANTONYM of the given word. Repulsive
Option 1: Steadfast
Option 2: Superfluous
Option 3: Pleasant
Option 4: Hopeless
Correct Answer: Pleasant
Solution : The correct choice is the third option.
Explanation: Repulsive is an adjective used to describe something that causes a strong feeling of disgust or aversion. Its antonym, pleasant, denotes the opposite meaning by representing something that is agreeable, enjoyable, or pleasing.
The meanings of
Question : In a circle, an arc subtends an angle of 84° at the centre. If the length of the arc is 22 cm, then the radius of the circle (in cm) is equal to: Take $\pi=\frac{22}{7}$
Option 1: 19
Option 2: 15
Option 3: 17
Option 4: 13
Correct Answer: 15
Solution : The angle subtended by an arc at the centre = $84^\circ$ Length of given arc = 22 cm Let the radius of the circle be $r$. We know, length of arc = $\frac{\theta}{360^\circ}\times 2\pi r$ As per given condition, $\frac{84^\circ}{360^\circ}\times 2 \pi r = 22$
Question : Directions: Three of the following four are alike in a certain way and thus form a group. Which is the one that does NOT belong to that group?
Option 1: SRP
Option 2: JIG
Option 3: HGE
Option 4: FCB
Correct Answer: FCB
Solution : Let's check the options – First option: SRP; S – 1 = R; S – 3 = P Second option: JIG; J – 1 = I; J – 3 = G Third option: HGE; H – 1 = G; H – 3 = E Fourth
Question : The base of a right pyramid is an equilateral triangle of side $10\sqrt3$ cm. If the total surface area of the pyramid is $270\sqrt3$ sq. cm. its height is:
Option 1: $12\sqrt3$ cm
Option 2: $10$ cm
Option 3: $10\sqrt3$ cm
Option 4: $12$ cm
Correct Answer: $12$ cm
Solution :
Given: The base of a right pyramid is an equilateral triangle. Side of a triangle $AB = 10\sqrt3$ cm The total surface area of a pyramid $= 270\sqrt3$ cm2 $\therefore$ Inradius of a triangle $OE = \frac{\text{side of equilateral triangle}}{2\sqrt3}$ = $\frac{10\sqrt3}{2\sqrt3}=5$ cm
Question : Which of the following States/Union Territories hosted the first-ever Food Processing Summit to attract investors to the region in January 2020?
Option 1: Jammu and Kashmir
Option 2: Goa
Option 3: Ladakh
Option 4: Sikkim
Correct Answer: Ladakh
Solution : The correct answer is Ladakh.
In a bid to attract investors, the Union Territory of Ladakh has hosted its inaugural Food Processing Summit, organized by the Ministry of Food Processing Industries and the Ministry of Commerce and Industry. Aimed at fostering entrepreneurship, especially among
Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold part at 1, 2 and 3 that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4).
The old man has acquired experience through age.
(1) No Improvement
(2) developed experience
(3) experienced
(4) got experience
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 1
Solution : The sentence is already correct and does not need any improvement because the original phrase "acquired experience through age" effectively conveys the idea that the old man has gained knowledge and wisdom over time, which is the intended meaning. Therefore, the correct answer is:
No
Question : As shown in the given figure, inside the large semicircle, three semicircles (with equal radii) are drawn so that their diameters all sit on the large semicircle's diameter. What is the ratio between the red and blue areas?
Option 1: 4 : 3
Option 2: 1 : 2
Option 3: 2 : 1
Option 4: 3 : 4
Correct Answer: 1 : 2
Solution : Let the radius of the smaller semicircle be $r$. According to the question, The radius of the bigger semicircle with respect to the smaller circle will be $3r$. Area of the small semicircle = $\frac{\pi r^2}{2}$ Area of the large semicircle = $\frac
Question : A tower is broken at a point P above the ground. The top of the tower makes an angle of $60^\circ$ with the ground at Q. From another point R on the opposite side Q angle of elevation of point P is $30^\circ$. If QR = 180 m, what is the total height (in meters) of the tower?
Option 1: $90$
Option 2: $45\sqrt{3}$
Option 3: $45(\sqrt{3}+1)$
Option 4: $45(\sqrt{3}+2)$
Correct Answer: $45(\sqrt{3}+2)$
Solution : Let OP = $h$ m In $\triangle$OPQ, $\tan60°=\frac{h}{OQ}$ ⇒ $OQ=\frac{h}{\sqrt3}$ ------------------(equation 1) In $\triangle$OPR, $\tan30^\circ=\frac{h}{OR}$ ⇒ $OR=h\sqrt3$ ----------------------(equation 2) According to the question, $h\sqrt3+\frac{h}{\sqrt3}=180$ ⇒ $3h+h=180\sqrt3$ ⇒ $h=\frac{180\sqrt3}{4}$ ⇒ $h=45\sqrt3$ m Now, in $\triangle$OPQ, $\sin60^\circ=\frac{h}{PQ}$ ⇒ $PQ=45\sqrt3×\frac{2}{\sqrt3}$ ⇒ PQ = 90 m So, the total
Question : Directions: In the following question, some parts of the sentence may have some errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No error".
Shelley is (1) / superior than Byron (2) / in his vision of democracy. (3) / No error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The error lies in the second part of the sentence.
The use of the preposition "than" after "superior" is incorrect. To express comparison, we use "superior to" as superior is followed by the preposition to and not than.
Therefore, the correct sentence would be:
Question : The following sentence has been divided into parts. One of them may contain an error. Select the part that contains the error from the given options. If you don’t find any error, mark ‘No error’ as your answer.
She didn’t knew / that I was out / for some urgent work.
Option 1: for some urgent work
Option 2: No error
Option 3: that I was out
Option 4: She didn’t knew
Correct Answer: She didn’t knew
Solution : The error lies in the fourth option.
Explanation: The verb didn't is a contraction of did not, and after modal verbs or auxiliaries, we use the base form of the verb. In this case, know is the base form, so the correct construction
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