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Question : Select the option that expresses the given sentence in passive voice.
The earthquake had devastated the village beyond imagination.
Option 1: The village had devastated by the earthquake beyond imagination.
Option 2: The village had been devastated beyond imagination by the earthquake.
Option 3: The village was devastated by the earthquake beyond imagination.
Option 4: The village has been devastated by the earthquake beyond imagination.
Correct Answer: The village had been devastated beyond imagination by the earthquake.
Solution : The second option is correct.
Passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence, the object in the active voice becomes the subject in
Question : What is the value of $\sin 30^{\circ}+\cos 30^{\circ}+\tan 30^{\circ}$?
Option 1: $\frac{5+\sqrt{3}}{2 \sqrt{3}}$
Option 2: $\frac{5-\sqrt{3}}{2 \sqrt{3}}$
Option 3: $\frac{5+\sqrt{3}}{\sqrt{3}}$
Option 4: $\frac{5-\sqrt{3}}{\sqrt{3}}$
Correct Answer: $\frac{5+\sqrt{3}}{2 \sqrt{3}}$
Solution : Given: $\sin 30^{\circ}+\cos 30^{\circ}+\tan 30^{\circ}$ Putting the values, we get: $=\frac{1}{2}+\frac{\sqrt3}{2}+\frac{1}{\sqrt3}$ $=\frac{\sqrt3+3+2}{2\sqrt3}$ $=\frac{5+\sqrt3}{2\sqrt3}$ Hence, the correct answer is $\frac{5+\sqrt3}{2\sqrt3}$.
Question : Which of the following is not an allotrope of carbon?
Option 1: Trisulphur
Option 2: Diamond
Option 3: Lonsdaleite
Option 4: Graphite
Correct Answer: Trisulphur
Solution : The correct option is Trisulfur
Trisulfur, often represented as S3, is not an allotrope of carbon. Trisulfur refers to a molecule composed of three sulfur atoms, while allotropes of carbon include forms like diamond, graphite, graphene, carbon nanotubes, and fullerenes, among others. Carbon allotropes have
Question : The profit earned when a painting is sold for INR 1,200 is 15 times the loss incurred when it is sold for INR 240. At what price should the painting be sold to make a profit of 40%?
Option 1: INR 300
Option 2: INR 480
Option 3: INR 420
Option 4: INR 360
Correct Answer: INR 420
Solution : Selling price = INR 1200 Profit = selling price – cost price Profit = 1200 – cost price -----------(i) Selling price = INR 240 Loss = cost price – selling price Loss = cost price – 240 ------------(ii) Profit = 15 × loss ⇒
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.
He worked ________ of his ability.
Option 1: at the best
Option 2: with the best
Option 3: in the best
Option 4: to the best
Correct Answer: to the best
Solution : The fourth option is the correct answer.
To the best means to the greatest degree and fits contextually in the sentence. It conveys the meaning that he worked with the highest quality of his ability.
Other options don't fit contextually because different prepositions
Question : Which of the following are constituents of the Indian Parliament?
(i) The President
(ii) The Council of States (Rajya Sabha)
(iii) The House of the People (Lok Sabha)
Option 1: (i) and (ii)
Option 2: (ii) and (iii)
Option 3: (i) and (iii)
Option 4: (i) , (ii) and (iii)
Correct Answer: (i) , (ii) and (iii)
Solution : The correct option is (i), (ii) and (iii)
The President, the Rajya Sabha (Council of States), and the Lok Sabha (House of the People) comprise the Indian Parliament. The President has the authority to call a special session of either House
Question : The bar chart given below shows the sales (in 000 units) of 4 mobile brands for 3 years. In 2017, the sales of each brand increased by the same percentage as it did in the year 2016. What will be the approximate average sales (in units) of mobiles per brand in the year 2017?
Option 1: 9175
Option 2: 8360
Option 3: 9436
Option 4: 9678
Correct Answer: 9175
Solution : As per the given graph: In 2017, the sales of each brand increased by the same percentage as it did in the year 2016. The increase in sales of Brand 1 in 2016 = $\frac{7.5-5.5}{5.5}×100=36.36\%$ The sales of Brand 1 in 2017 = $7.5+(7.5×\frac{36.36}{100})=10.2$ units
Question : Directions: A bus driver started from point A and drove 25 km towards the east. He turned left and drove 30 km. He then turned left and drove 15 km. He again turned left drove 30 km and reached point B. How far and in which direction is the point B from the point A?
Option 1: 40 km, West
Option 2: 10 km, West
Option 3: 40 km, East
Option 4: 10 km, East
Correct Answer: 10 km, East
Solution : According to the instructions given, the diagram is as follows –
Here, A is the starting point and B is the finishing point and AB is the total distance from the starting point.
AC = 25 km; BC = ED = 15 km;
Question : Directions: If A means ×, B means +, C means –, and D means ÷, then 66 A 3 D 11 B 43 C 48 D 12 = ?
Option 1: 57
Option 2: 47
Option 3: 43
Option 4: 61
Correct Answer: 57
Solution : Given: 66 A 3 D 11 B 43 C 48 D 12 = ?
After replacing the letters with the mathematical signs, we get – = 66 × 3 ÷ 11 + 43 – 48 ÷ 12 = 18 + 43 – 4 = 61
Question : If $x^4+x^{-4}=47, x>0$, then what is the value of $x+\frac{1}{x}-2?$
Option 1: 1
Option 2: 0
Option 3: 5
Option 4: 3
Correct Answer: 1
Solution : Given expression, $x^4+x^{-4}=47$ ⇒ $x^4+\frac{1}{x^4}=47$ Adding 2 on both sides, ⇒ $x^4+\frac{1}{x^4}+2=47+2$ ⇒ $x^4+\frac{1}{x^4}+2\times x^2\times\frac{1}{x^2}=49$ ⇒ $(x^2+\frac{1}{x^2})^2=7^2$ [As $a^2+b^2+2ab=(a+b)^2$] ⇒ $x^2+\frac{1}{x^2}=7$ Again adding 2 on both sides, ⇒ $x^2+\frac{1}{x^2}+2=7+2$ ⇒ $x^2+\frac{1}{x^2}+2\times x\times\frac1x=9$ ⇒ $(x+\frac1x)^2=3^2$ ⇒ $x+\frac1x=3$ ⇒ $x+\frac1x-2=3-2$ $\therefore x+\frac1x-2=1$ Hence, the correct answer is
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