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Question : A 40 litres mixture contains 25% alcohol and 75% water. If 10 litres of water are added to the mixture, the percentage of alcohol in the new mixture is:
Option 1: 27%
Option 2: 18%
Option 3: 20%
Option 4: 25%
Correct Answer: 20%
Solution : Initially, alcohol = 25% of 40 litres = $\frac{25}{100}×40$ = 10 litres Now 10 litres of water is added. The total volume of mixture = 40 + 10 = 50 litres Percentage of alcohol in the mixture = $\frac{10}{50}\times 100 = 20\%$ Hence, the correct
Question : Select the most appropriate option to complete the given sentence. She raised a __________ when she saw her luggage missing.
Option 1: hue and cry
Option 2: spick and span
Option 3: hand and foot
Option 4: whip and spur
Correct Answer: hue and cry
Solution : The first option is correct.
Hue and cry mean loud and persistent public clamour, often expressing strong disapproval or protest. In this context, it suggests that she raised a loud outcry or protest upon discovering her missing luggage.
The meanings of other options
Question : Some parts of a few sentences have been jumbled up, and labelled A, B, C and D. Select the option that gives the correct sequence in which these parts can be rearranged to form a meaningful and grammatically correct sentence. Mr. Summers spoke frequently A. the one that had been constructed when the first people settled down to make a village here B. liked to upset even as much tradition as was represented by the black box. There was a C. to the villagers about making a new box, but no one D. story that the present box had been made with some pieces of the box that had preceded it
Option 1: BDAC
Option 2: DACB
Option 3: ACDB
Option 4: CBDA
Correct Answer: CBDA
Solution : The correct choice is the fourth option: CBDA.
The paragraph starts with the given phrase "Mr. Summers spoke frequently", and part (C) follows, logically conveying the meaning that Mr. Summers spoke frequently to the villagers about making a new box. Part (B) follows it and
Question : The following sentence has been split into four segments. Identify the segment that contains a grammatical error. The scooter that / I am using / these days is belonging / to my brother.
Option 1: to my brother.
Option 2: I am using
Option 3: The scooter that
Option 4: these days is belonging
Correct Answer: these days is belonging
Solution : The error lies in the fourth option.
Explanation: The error is in the tense and structure of the verb. Belong itself conveys the sense of ownership or possession in the present tense. The correct verb form in this context is belongs which
Question : The students of a class donated a sum of INR 2,809 to the Fund. Each student donated as many rupees as the number of students in the class. The number of students in the class is:
Option 1: 49
Option 2: 53
Option 3: 51
Option 4: 47
Correct Answer: 53
Solution : Let the total number of students be $x$. Each student will donate = $x$ Total fund = donation of each student × total number of students ⇒ $2809 = x \times x$ ⇒ $2809 = x^2$ ⇒ $x = 53$ Hence, the correct answer is
Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".
Ram (cooked) a conspiracy to cheat Abdul.
(1) cultivated
(2) hatched
(3) fabricated
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The sentence can be improved using the second option.
Hatched is a suitable word in this context. It means to devise, develop, or plan something, often secretly or deviously. In this context, it means that Ram devised a plan, which is the intended meaning.
The
Question : Comprehension:
In the following passage, some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each number.
Malti had to wait long to see her son, Abhik. She had worked hard to (1)______ her husband’s last wish that Abhik should (2)______ his higher education at Cambridge. Abhik (3)______ to be meritorious and hardworking and had secured a seat. Making ends meet was (4)______ and a trip back home in the vacation, (5)______ for the mother and son.
Question: Select the most appropriate option to fill in blank no. 3.
Option 1: had proved
Option 2: is proving
Option 3: will prove
Option 4: prove
Correct Answer: had proved
Solution : The correct choice is the first option.
Explanation: "Had proved" is the appropriate choice to fill in the blank. Prove means to establish the existence of truth, and in this context, "had proved" helps convey that Abhik established
Question : A can complete a piece of work alone in 120 days, while A and B, working together, can complete the same work in 72 days. In how many days can B, working alone, complete this piece of work?
Option 1: 180
Option 2: 200
Option 3: 160
Option 4: 216
Correct Answer: 180
Solution : One day's work of A = $\frac{1}{120}$ One day's work of A and B together = $\frac{1}{72}$ Let B alone complete the work in b days. One day's work of B = $\frac{1}{b}$ $\frac{1}{120}+\frac{1}{b}=\frac{1}{72}$ ⇒ $\frac{1}{b}=\frac{1}{72} -\frac{1}{120}$ ⇒ $\frac{1}{b}=\frac{15-9}{1080}$ ⇒ $\frac{1}{b}=\frac{1}{180}$ ⇒ $\therefore b=180$ days
Question : If $\sec 3 {x}=\operatorname{cosec}\left(3 {x}-45^{\circ}\right)$, where $3x$ is an acute angle, then ${x}$ is equal to:
Option 1: $45^{\circ}$
Option 2: $22.5^{\circ}$
Option 3: $35^{\circ}$
Option 4: $27.5^{\circ}$
Correct Answer: $22.5^{\circ}$
Solution : Given that $\sec 3x = \operatorname{cosec}(3x - 45^\circ)$, $⇒\frac{1}{\cos 3x} = \frac{1}{\sin(3x - 45^\circ)}$ $⇒\cos 3x = \sin(3x - 45^\circ)$ We know that $\sin(90^\circ - \theta) = \cos \theta$. $⇒ 90^\circ -3x = 3x - 45^\circ$ Solving for $x$, we get: $⇒6x = 135^\circ$ $⇒x
Question : Directions: Select the word pair that best represents a similar relationship to the one expressed in the pair of words given below. (The words must be considered meaningful English words and must not be related to each other based on the number of letters/consonants/vowels in the word.) Contain : Hold
Option 1: Contrast : Disparity
Option 2: Fool : Font
Option 3: Blur : Boa
Option 4: Fox : Foyer
Correct Answer: Contrast : Disparity
Solution : Given: Contain : Hold (The given pair of words are synonyms of each other.)
Let's check each option – First option: Contrast : Disparity; Contrast means difference or unlikeness and disparity is the synonym of contrast. Second option: Fool : Font; Fool means
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