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Question : The greatest number among the following $\frac{4}{9},\sqrt{\frac{9}{49}},0.\overline{47},(0.7)^{2}$ is:
Option 1: $\frac{4}{9}$
Option 2: $\sqrt{\frac{9}{49}}$
Option 3: $0.\overline{47}$
Option 4: $(0.7)^{2}$
Correct Answer: $(0.7)^{2}$
Solution : $\frac{4}{9} = 0.44$ $\sqrt{\frac{9}{49}} = \frac{3}{7} = 0.42$ $0.\overline{47} = 0.4747........$ $(0.7)^{2} = 0.49$ So, the largest number among these is $(0.7)^{2}$. Hence, the correct answer is $(0.7)^{2}$.
Question : If the ordinate and abscissa of the point $(k,2k-1)$ are equal, then the value of $k$ is:
Option 1: $0$
Option 2: $–1$
Option 3: $1$
Option 4: $\frac{1}{2}$
Correct Answer: $1$
Solution : Given: The ordinate and abscissa of the point $(k, 2k-1)$ are equal. So, $k=2k-1$ ⇒ $k=1$ Hence, the correct answer is $1$.
Question : Directions: Study the given pattern carefully and select the number that can replace the question mark (?) in it. First row – 14, 42, 84 Second row – 28, 84, 168 Third row – 19, 57, ?
Option 1: 129
Option 2: 126
Option 3: 114
Option 4: 112
Correct Answer: 114
Solution : Given: First row – 14, 42, 84 Second row – 28, 84, 168 Third row – 19, 57, ?
Multiply the first number by 3 and the second number by 2, to get the required missing number in the series – In the first row
Question : Leaves of many grasses are capable of folding and unfolding because:
Option 1: their mesophylls is not differentiated into palisade and spongy parenchyma
Option 2: they have stomata on both sides of leaf
Option 3: they have high levels of silica
Option 4: they have specialized buliform cells
Correct Answer: they have specialized buliform cells
Solution : The correct option is they have specialized buliform cells.
Many grasses' leaves can fold and unfurl due to the existence of specialised cells known as "buliform cells." These cells are located in the leaf epidermis and are important for the leaf's
Question : Comprehension: Read the given passage and answer the questions that follow. 'What's your name, boy?' said the gentleman in the high chair. Oliver was frightened at the sight of so many gentlemen, which made him tremble and speak in a very low and hesitating voice. 'Listen to me. You know you're an orphan, I suppose? And that you were brought up by the parish, don't you?' 'Yes, sir,' replied Oliver, weeping bitterly. 'I hope you say your prayers every night,' said another gentleman in a gruff voice, 'and pray for the people who feed you, and take care of you'. 'Yes, sir,' stammered the boy. 'Well! You have come here to be educated, and taught a useful trade,' said the red-faced gentleman in the high chair.
Poor Oliver! He little thought, as he lay sleeping, happily unconscious of things around him, that the board had that very day arrived at a decision which would exercise the most material influence over all his future fortunes.
But they had. They believed the workhouse was a regular place of public entertainment for the poorer classes; a tavern where there was nothing to pay; a public breakfast, dinner, tea, and supper all the year round; a brick and mortar place, where it was all play and no work. 'Oho!' said the board, looking very knowing; 'we are the fellows to set this to rights; we'll stop it all, in no time.'
So, they established the rule, that all poor people should be starved by a gradual process in the house. The water-works were asked to lay on an unlimited supply of water; a corn-factory asked to supply small quantities of oatmeal; and it was decided to issue three meals of thin gruel a day, with an onion twice a week, and half a roll of bread on Sundays.
Question: The impression one forms of the gentlemen is that they:
Option 1: followed laid down rules
Option 2: were kind human beings
Option 3: were cruel and uncaring
Option 4: were very thoughtful
Correct Answer: were cruel and uncaring
Solution : The correct option is the third option.
Explanation: Their behaviour and decisions demonstrate a lack of empathy and a cruel attitude towards the poor, specifically towards Oliver. Their decision to limit meals to thin gruel, an onion twice a week, and half
Question : Select the INCORRECTLY spelt word.
Option 1: ecsentricity
Option 2: echelon
Option 3: eclipse
Option 4: economy
Correct Answer: ecsentricity
Solution : The first option is the correct choice.
Explanation: The correct spelling of the word describing the quality of being eccentric or unconventional is "eccentricity," not "ecsentricity."
Therefore, the incorrectly spelled word is "ecsentricity".
Question : In right angled triangle ABC, if $\angle \mathrm{A}=30^{\circ}$, find the value of $3 \sin \mathrm{A}-4 \sin ^3 \mathrm{~A}$.
Option 1: 2
Option 2: –1
Option 3: –2
Option 4: 1
Correct Answer: 1
Solution : Given that $\angle A = 30^{\circ}$ We know that, $\sin A = \sin 30°= \frac{1}{2}$ Now, Substitute $\sin A = \frac{1}{2}$ into the expression $3 \sin A - 4 \sin^3 A$: $3 \sin A - 4 \sin^3 A = 3 \times \frac{1}{2} - 4 \times
Question : Select the most appropriate option that can substitute the underlined segment in the given sentence. If there is no need to substitute it, select ‘No substitution’. The students decided to surprise their teacher on her birthday.
Option 1: their teacher at her birthday
Option 2: there teacher on her birthday
Option 3: her teacher on her birthday
Option 4: No substitution
Correct Answer: No substitution
Solution : The correct choice is the fourth option.
The original sentence is grammatically correct and conveys the intended meaning. It implies that the students planned to surprise the teacher on her birthday.
Therefore, the given sentence needs no substitution.
Question : Identify the segment in the sentence which contains a grammatical error.
I didn't bought the book as I had no money.
Option 1: no money
Option 2: I didn't bought
Option 3: as i had
Option 4: the book
Correct Answer: I didn't bought
Solution : The error lies in the second option.
The base form of the verb should be used after did to correctly convey that the event occurred in the past. Thus, bought should be replaced with buy to make the sentence grammatically accurate.
Therefore,
Question : Directions: In the following question, the sentence given with a blank is to be filled in with an appropriate word. Select the correct alternative out of the four.
The elephant stampeded and tore _____ the streets.
Option 1: on
Option 2: out
Option 3: off
Option 4: down
Correct Answer: down
Solution : The fourth option is the correct answer. In this context, "down" is used to indicate that the elephant ran forcefully through the streets, causing destruction along the way. It conveys the idea that the elephant moved in a downward direction along the streets.
"Off": "Tore
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