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Question : Directions: The sequence of folding a piece of paper and the manner in which the folded paper is cut is shown in the following figures. How would this paper look when unfolded?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : When the given folded paper is unfolded, it will look like –
Hence, the third option is correct.
Question : The value of $(x^{\frac{1}{3}}+x^{-\frac{1}{3}})(x^{\frac{2}{3}}-1+x^{-\frac{2}{3}})$ is:
Option 1: $x^{-1}+x^{\frac{2}{3}}$
Option 2: $x+x^{-\frac{1}{3}}$
Option 3: $x^{\frac{1}{3}}+x^{–1}$
Option 4: $x+x^{–1}$
Correct Answer: $x+x^{–1}$
Solution : Given: $(x^{\frac{1}{3}}+x^{-\frac{1}{3}})(x^{\frac{2}{3}}-1+x^{-\frac{2}{3}})$ $=x^{\frac{1}{3}}×x^{\frac{2}{3}}-x^{\frac{1}{3}}+x^{\frac{1}{3}}×x^{-\frac{2}{3}}+x^{-\frac{1}{3}}×x^{\frac{2}{3}}-x^{-\frac{1}{3}}+x^{-\frac{1}{3}}×x^{-\frac{2}{3}}$ $=x^{\frac{1}{3}+\frac{2}{3}}-x^{\frac{1}{3}}+x^{\frac{1}{3}-\frac{2}{3}}+x^{-\frac{1}{3}+\frac{2}{3}}-x^{-\frac{1}{3}}+x^{-\frac{1}{3}-\frac{2}{3}}$ $=x^1-x^{\frac{1}{3}}+x^{-\frac{1}{3}}+x^{\frac{1}{3}}-x^{-\frac{1}{3}}+x^{-1}$ $=x+x^{-1}$ Hence, the correct answer is $x+x^{-1}$.
Question : Select the most appropriate meaning of the given idiom. On the straight and narrow
Option 1: The unrefined and complicated
Option 2: The straightforward and ethically acceptable
Option 3: The honest but dubious
Option 4: The unpredictable though genuine
Correct Answer: The straightforward and ethically acceptable
Solution : The correct meaning of the idiom "on the straight and narrow" is the second option.
The straightforward and ethically acceptable: This is the correct meaning of the idiom. It indicates that someone is living an honest and morally upright life, following
Question : A man standing at the top of a tower has two spheres A and B. He drops sphere A downwards and throws sphere B horizontally at the same time. Which of the following is correct?
Option 1: Both spheres will reach the ground simultaneously.
Option 2: A will reach the ground first.
Option 3: B will reach the ground first.
Option 4: The question is incomplete because the masses of the spheres are not given.
Correct Answer: Both spheres will reach the ground simultaneously.
Solution : The correct option is B will reach the ground first.
Regardless of their masses, all objects close to the surface of the Earth will accelerate owing to gravity at the same pace. The Earth's surface is moving at
Question : Direction: If MUSICAL is written as KWQKACJ, how can SPRINKLE be written?
Option 1: QRPKLMJG
Option 2: UKTKPMNG
Option 3: QRBKCNJG
Option 4: QNPGLIJC
Correct Answer: QRPKLMJG
Solution : MUSICAL → KWQKACJ
Similarly, SPRINKLE →
Question : Which of the following statements about the Guptas is NOT true ?
Option 1: They ruled mainly over parts of north and central India
Option 2: Kingship was hereditary and the throne always went to the eldest son
Option 3: The judicial system was far more developed than in earlier times
Option 4: Land taxes increased and taxes on trade and commerce decreased
Correct Answer: Kingship was hereditary and the throne always went to the eldest son
Solution : The correct answer is Kingship was hereditary and the throne always went to the eldest son.
The assertion that kingship was hereditary and that the crown always passed to the oldest son is false.
Question : Study the given graph and answer the question that follows. In which year was the production of computers by the company 16% more than the average exports of computers in the six years (2013 to 2018)?
Option 1: 2015
Option 2: 2018
Option 3: 2014
Option 4: 2016
Correct Answer: 2016
Solution :
The total exports of computers in 6 years (in thousands) = 140 + 240 + 200 + 350 + 300 + 270 = 1500 The number of years = 6 Average = $\frac{\text{Sum of all the observations}}{{\text{Total number of observations}}}$ Average export $=\frac{1500}{6} = 250$
Question : In which of the following decades there was a negative growth rate in the Indian population?
Option 1: 1911-1921
Option 2: 1941-1951
Option 3: 1961-1971
Option 4: 1921-1931
Correct Answer: 1911-1921
Solution : The correct option is 1911-1921.
India experienced its sole negative population growth in the 1911-1921 decade, declining by 0.31%. Factors included the devastating Spanish Flu Pandemic of 1918, which caused around 18 million deaths, the repercussions of World War I impacting the economy and
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. The man___ for the purpose never did what was expected of him.
Option 1: supplied
Option 2: favoured
Option 3: employed
Option 4: cited
Correct Answer: employed
Solution : The correct choice is the third option.
Explanation: "Employed" means to hire or engage someone for a specific purpose or job. In this context, it accurately conveys that the man was hired or engaged for a particular purpose but did not perform as expected.
The
Question : Study the following pie chart and table to answer the questions numbered 95 to 97. Total number of students admitted in a university in various fields = 5000
Distribution of the number of students into various fields:
What is the difference between the number of girls in IT and the number of girls in ECE?
Option 1: 21
Option 2: 30
Option 3: 25
Option 4: 20
Correct Answer: 21
Solution : Number of Girls in IT = 35% of (14% of 5000) = 245 Number of Girls in ECE = 28% of (16% of 5000) = 224 Difference = 245 - 224 = 21 Hence, the correct answer is 21.
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