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Question : Improve the underlined part of the sentence choose 'No improvement' as an answer if the sentence is grammatically correct. Each passenger is allows one piece of carry-on luggage.
Option 1: is allowed
Option 2: No improvement
Option 3: is allowing
Option 4: is allow
Correct Answer: is allowed
Solution : The first option is correct.
The original sentence contains a grammatical error. The correct form of the verb is, is allowed instead of is allows. We always use the past participle form of the verb after the auxiliary verb in the passive structure
Question : On parallel tracks, two trains of equal length are moving at speeds of 46 and 36 kilometres per hour in the same direction. In 36 seconds, the quicker the train overtakes the slower one. The length of each train is:
Option 1: 60 metres
Option 2: 50 metres
Option 3: 56 metres
Option 4: 52 metres
Correct Answer: 50 metres
Solution : Let the length of the trains be $x$ metre each. So, the distance to be covered = 2$x$ Now the trains are running in the same direction. So, their relative speed = (46 − 36) kilometres per hour = 10 kilometres per hour =
Question : If two medians BE and CF of a triangle ABC, intersect each other at G and if BG = CG, $\angle$BGC = $120^{\circ}$, BC = 10 cm, then the area of the triangle ABC is:
Option 1: $50\sqrt{3}$ $cm^2$
Option 2: $60$ $cm^2$
Option 3: $25$ $cm^2$
Option 4: $25\sqrt{3}$ $cm^2$
Correct Answer: $25\sqrt{3}$ $cm^2$
Solution : In $\triangle$ BGC, BG = CG, $\angle$BGC = $120^{\circ}$, BC = 10 cm $\triangle$ BGC is an isosceles triangle. ⇒ $\angle$GBC = $\angle$GCB Sum of angles of a triangle = $180^{\circ}$ $\angle$GBC + $\angle$GCB + $\angle$BGC = $180^{\circ}$ $2\angle$GBC = $180^{\circ}-120^{\circ}$ = $60^{\circ}$ $\angle$GBC
Question : Directions: In the following 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 as your answer.
We always ________ your team at cricket.
Option 1: overcome
Option 2: beat
Option 3: defeat
Option 4: conquer
Correct Answer: beat
Solution : The correct choice is the second option.
Explanation:
It means to defeat or surpass someone or something in a contest, competition, or performance. It implies that our team consistently wins against the other team in cricket matches, which is the intended meaning.
The meanings
Question : A policeman follows a thief who is 600 m ahead of the policeman. If the policeman and the thief run at speeds of 10 km/hr and 8 km/hr, respectively, in how much time (in minutes), will the policeman catch the thief?
Option 1: 16
Option 2: 14
Option 3: 18
Option 4: 12
Correct Answer: 18
Solution : Given: Speed of the policeman = 10 km/hr Speed of the thief = 8 km/hr The relative speed of the policeman to the thief = (10 – 8) = 2 km/hr 2 km/h = $2×\frac{1000}{60}=\frac{100}{3}$ m/min Relative distance to be covered by policeman = 600
Question : Find the value of the expression $\frac{x^2-1}{x-1}-\frac{x^2-9}{x-3}$.
Option 1: 1
Option 2: –2
Option 3: –1
Option 4: 2
Correct Answer: –2
Solution : $\frac{x^2-1}{x-1}-\frac{x^2-9}{x-3}$ = $\frac{(x-1)(x+1)}{x-1}-\frac{(x-3)(x+3)}{x-3}$ = $(x+1) - (x+3)$ = $-2$ Hence, the correct answer is –2.
Question : Directions: Consider the given statements to be true, even if they seem to be at variance from commonly known facts. You have to decide which of the following conclusions or assumptions be drawn from the given statements. Statements: I. Odisha is still an underdeveloped state. II. Problems like poverty, unemployment, and illiteracy have not been solved. Conclusions: I. The administration of Odisha is not sensitive enough. II. It is the will of God.
Option 1: Only I follows
Option 2: Only II follows
Option 3: Both I and II follow
Option 4: Neither I nor II follows
Correct Answer: Neither I nor II follows
Solution : Let's analyse the conclusions – Conclusion I: The administration of Odisha is not sensitive enough. According to the given statement, Odisha is an underdeveloped state and it has problems like poverty, unemployment, and illiteracy but for all these, we cannot blame
Question : Directions: Which of the following letter clusters will replace the blanks in the given series? ca_pcaa_caa_caap_aap
Option 1: aacp
Option 2: aapp
Option 3: appc
Option 4: appp
Correct Answer: appc
Solution : Given: ca_pcaa_caa_caap_aap
To fill the series, we have to divide the series – ca_p / caa_ / caa_ / caap / _aap Let's check each option – First option: aacp; caap / caaa / caac / caap / paap (No
Question : How many hydrogen atoms are there in a molecule of methane?
Option 1: 2
Option 2: 6
Option 3: 4
Option 4: 3
Correct Answer: 4
Solution : The correct answer is 4.
Comprising one carbon atom and four hydrogen atoms, methane (CH4) is a colourless, odourless and extremely combustible gas. Burning it with oxygen yields carbon dioxide and water vapour. It can be made synthetically or naturally.
Question : Aastha spends 15% of her total income on travelling and 20% of the rest income on food and then donates INR 380 and after that, she saves INR 2,000. Find her total income (in INR).
Option 1: 3,500
Option 2: 3,650
Option 3: 3,800
Option 4: 3,600
Correct Answer: 3,500
Solution : Let the total income be $100x$ Now, Percentage of income for travelling = $15\%$ of $100x = 15x$ Remaining income = $100x-15x=85x$ Percentage spent on food = 20% of the remaining amount after spending on travel = $20\%$ of $85x =17x$ Remaining income after spending
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