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Question : Directions: Select the triad in which the numbers are related in the same way as the numbers of the following triads. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. – operations on 13 such as adding/subtracting/multiplying etc. 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) 15–14–13 17–21–25
Option 1: 19–22–25
Option 2: 34–12–28
Option 3: 38–28–10
Option 4: 23–42–46
Correct Answer: 19–22–25
Solution : Given: (15–14–13); (17–21–25)
Divide the sum of the first and the third numbers by 2 to obtain the second number. (15–14–13)→15 + 13 = 28; 28 ÷ 2 = 14 (17–21–25)→17 + 25 = 42; 42 ÷ 2 = 21
Let's check each option –
Question : Comprehension:
In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
Nitrogen is essential to life (1)_____Earth. It is a component of all proteins, and it can be (2)________in all living systems. Nitrogen compounds are (3)__________in organic materials, foods, fertilisers, explosives and poisons. Nitrogen is crucial to life, (4)_______in excess, it can also be (5)______to the environment.
Question:-
Select the most appropriate option to fill in the blank number 5.
Option 1: harmful
Option 2: pliable
Option 3: optimistic
Option 4: rational
Correct Answer: harmful
Solution : The correct choice is the first option.
Harmful means capable of damaging or causing harm. This helps in conveying the intended meaning that nitrogen in excess can damage the environment.
Therefore, the complete sentence is: "Nitrogen is crucial to life, but in excess, it
Question : It is easy to burst a gas filled balloon with a needle, than with a nail, it is because
Option 1: nail is more longer than needle
Option 2: nail exerts more pressure than needle on the balloon
Option 3: needle exerts more pressure than nail on the balloon
Option 4: gas is reactive with the needle
Correct Answer: needle exerts more pressure than nail on the balloon
Solution : The correct option is needle exerts more pressure than nail on the balloon.
Because the needle has a smaller surface area, the force is concentrated over a smaller region of the balloon, resulting in increased pressure that
Question : Directions: The pie chart here shows the automobile parts manufactured by an automobile company at its Pune and Nagpur plants in the year 2009. Study the pie chart and answer the question
If the Nagpur plant produces 800000 tyres the number of horns produced by it is:
Option 1: 12000
Option 2: 18500
Option 3: 75000
Option 4: 60000
Correct Answer: 75000
Solution : According to the question, 32% of tyres = 800000 ⇒ 3% horns = $\frac{800000\times 3}{32}$ = 75000 Hence, the correct answer is 75000.
Question : Parts of the following sentence have been given as options. 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.
The global pandemic remind us that even local censorship can have global consequences.
Option 1: can have global consequences
Option 2: The global pandemic remind us
Option 3: that even local censorship
Option 4: No error
Correct Answer: The global pandemic remind us
Solution : The error lies in the second option.
Explanation: The subject of the sentence is pandemic, which is singular, so the verb should agree with it in number. Thus, the verb reminds (singular verb) should be used instead of remind (plural verb)
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.
The village consisted of fewer than thirty houses, only (1) ______ of them built from brick (2) ______ cement. Painted a brilliant yellow and blue (3) ______ over with gorgeous carvings of gods and gargoyles on (4) ______ balustrade, it was known as the Big House. (5) ______ other houses, distributed in four streets, (6) ______ generally of bamboo thatch, straw, mud and (7) ______ unspecified material. Muni's was the (8) ______ house on the fourth street, beyond (9) ______ stretched the fields. In his prosperous days, Muni had owned a (10) ______ of sheep and goats and sallied forth every morning driving the flock to the highway a couple of miles away.
Question:
Select the most appropriate option to fill in the blank 4.
Option 1: their
Option 2: its
Option 3: whose
Option 4: those
Correct Answer: its
Solution : The correct choice is the second option.
Its is the possessive form of the pronoun it, and it is used to show possession. In the context of the sentence, it is used to show that the balustrade belongs to that house.
Question : Directions: Find the missing number from the given responses.
Option 1: 4
Option 2: 8
Option 3: 7
Option 4: 3
Correct Answer: 3
Solution : Given:
The pattern can be observed running vertically down the columns. Column 1: 8 × 4 × 9 = 288 Column 2: 7 × 5 × 6 = 210 Column 3: 9 ×
Question : If $\sec \theta+\tan \theta=\frac{1}{\sqrt{3}}$, then the positive value of $\cot \theta+\cos \theta$ is:
Option 1: $\frac{3 \sqrt{3}}{2}$
Option 2: $\frac{\sqrt{3}}{2}$
Option 3: $\frac{2}{3 \sqrt{3}}$
Option 4: $\frac{2}{\sqrt{3}}$
Correct Answer: $\frac{3 \sqrt{3}}{2}$
Solution : Given: $\sec \theta+\tan \theta=\frac{1}{\sqrt{3}}$...................(equation 1) We know that $\sec^2\theta-\tan^2\theta=1$ $⇒(\sec\theta-\tan\theta)(\sec\theta+\tan\theta)=1$ Putting the value, we get $⇒(\sec\theta-\tan\theta)(\frac{1}{\sqrt3})=1$ $⇒(\sec\theta-\tan\theta)=\sqrt3$............(equation 2) From equations 1 and 2, we get: $⇒2\sec\theta=\sqrt3+\frac{1}{\sqrt3}$ $⇒2\sec\theta=\frac{4}{\sqrt3}$ $⇒\sec\theta=\frac{2}{\sqrt3}$ We know that, $\sec\theta=\frac{h}{b}=\frac{2}{\sqrt3}$ So, $p=\sqrt{ h^2-b^2}$ $⇒p=\sqrt{2^2-\sqrt3^2}=1$ $\therefore \cot\theta+\cos\theta=\frac{b}{p}+\frac{b}{h}=\frac{\sqrt3}{1}+\frac{\sqrt3}{2}=\frac{3\sqrt3}{2}$ Hence, the correct answer is $\frac{3\sqrt3}{2}$.
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. ___ man standing in that corner is a policeman in plain clothes.
Option 1: Some
Option 2: Any
Option 3: A
Option 4: The
Correct Answer: The
Solution : The correct choice is the fourth option.
Explanation: The sentence describes a specific man who is standing in a corner, and this man is identified as a policeman in plain clothes. So, the definite article "the" is used to specify and identify
Question : Direction: In the following question, select the one which is different from other three alternatives.
Option 1: 34 - 30
Option 2: 44 - 31
Option 3: 61 - 12
Option 4: 25 - 21
Correct Answer: 44 - 31
Solution : Let's check the options —
First option: 34 - 30; 34 – 30 = 4; 4 is a perfect square.
Second option: 44 - 31; 44 – 31 = 13; 13 is not a perfect square. This option is different from the other
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