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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.
Many years ago, high up among (1)______ old Swiss mountains, there lived a man named William Tell. He was a (2)______ hunter and considered to be the best shot in the (3)______ land. At that time, the country was ruled by a (4)______ named Gessler. Gessler was very proud of the power that he had (5)______ his people. He made many harsh laws which the people had to (6)______. He had his hat placed on a tall pole and ordered that anyone who (7)______ that way should bow to his hat. One day William Tell (8)_______ to pass that way. The soldier on duty asked him to bow or face the (9)______. But William Tell boldly refused and said he would never show (10)______ to a hat.
Question:
Select the most appropriate option to fill in the blank No. 6.
Option 1: believe
Option 2: perform
Option 3: obey
Option 4: submit
Correct Answer: obey
Solution : The correct choice is the third option.
Obey means to follow or adhere to orders, commands, or laws. In this context, it suggests that Gessler enforced harsh laws, and the people were required to follow or comply with those laws, indicating a situation of
Question : Which National Waterway runs from Haldia to Prayagraj?
Option 1: National Waterway 2
Option 2: National Waterway 1
Option 3: National Waterway 3
Option 4: National Waterway 4
Correct Answer: National Waterway 1
Solution : The correct answer is National Waterway 1.
In 1986, the river system comprising the Ganga, Bhagirathi, and Hooghly between Haldia (Sagar) and Prayagraj was designated as a National Waterway-1 (NW-1). With a length of 1620 km, National Waterway 1 is the longest
Question : Directions: From the given option figures, select the one in which the question figure is embedded.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As there is no restriction on the rotation of the figure, we will check all possible angles where the question figure can fit itself in all the given option figures. The question figure is embedded only in the fourth option figure.
Hence, the fourth option is
Question : AB is a chord of a circle having a radius of 1.7 cm. If the distance of this chord AB from the centre of the circle is 0.8 cm, then what is the length (in cm) of the chord AB?
Option 1: 4
Option 2: 1
Option 3: 3
Option 4: 2
Correct Answer: 3
Solution : OB = 1.7 cm OC = 0.8 cm In $\triangle$ OCB, $OB^2 = OC^2 + CB^2$ ⇒ $1.7^2 = 0.8^2 + CB^2$ ⇒ $2.89 = 0.64 + CB^2$ ⇒ $CB^2 = 2.89 – 0.64 = 2.25$ $\therefore$ $CB = 1.5$ cm AB = 2 ×
Question : The area of triangle with vertices A(0, 8), O(0, 0), and B(5, 0) is:
Option 1: 8 sq. units
Option 2: 13 sq. units
Option 3: 20 sq. units
Option 4: 40 sq. units
Correct Answer: 20 sq. units
Solution : Let (x1, y1) = (0, 8) (x2, y2) = (0, 0) (x3, y3) = (5, 0) Area of a triangle with vertices (x1, y1), (x2, y2),
Question : Simplify the following expression. 12 + 2.5 + (1.5 of 4) – 2.6
Option 1: 17.9
Option 2: 18.9
Option 3: 18.1
Option 4: 17.1
Correct Answer: 17.9
Solution : 12 + 2.5 + (1.5 of 4) – 2.6 = 12 + (6) - 0.1 = 18 - 0.1 = 17.9 Hence, the correct answer is 17.9.
Question : A sum of Rs. 600 becomes Rs. 840 at simple interest in 4 years. In how many years will the sum of Rs. 1500 amount to Rs. 2100 at the same rate of simple interest?
Option 1: 5 years
Option 2: 4 years
Option 3: 2 years
Option 4: 3 years
Correct Answer: 4 years
Solution : Given, P = Rs. 600, A = Rs. 840, and T = 4 years, Simple interest, SI = Amount – Principal we can find the rate of interest (R): ⇒ R = $\frac{SI×100}{P×T}$ ⇒ R = $\frac{840−600}{600×4}×100$ ⇒ R = $\frac{240}{2400}×100$ ⇒ R =
Question : Directions: In the following question, some parts of the sentence may have some errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No error."
Kalidas is (1) / a Shakespeare (2) / of India. (3) / No error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The error lies in the second part of the sentence.
Explanation: The article "a" should be replaced with "the" in the sentence, after the noun, that is, Shakespeare, a well-known personality in English literature. So, the definite article "the" should be used here to
Question : If $\left(x+\frac{1}{x}\right)=5 \sqrt{2}$, and $x>1$, what is the value of $\left(x^6-\frac{1}{x^6}\right) ?$
Option 1: $22970 \sqrt{23}$
Option 2: $23030 \sqrt{23}$
Option 3: $23060 \sqrt{23}$
Option 4: $22960 \sqrt{23}$
Correct Answer: $23030 \sqrt{23}$
Solution : Given, $\left(x+\frac{1}{x}\right)=5 \sqrt{2}$ Squaring both sides, we get, $\left(x+\frac{1}{x}\right)^2=(5 \sqrt{2})^2$ ⇒ $x^2+\frac{1}{x^2}+2\times x\times \frac{1}{x}=25\times 2$ ⇒ $x^2+\frac{1}{x^2}+2=50$ ⇒ $x^2+\frac{1}{x^2}=50-2$ ⇒ $x^2+\frac{1}{x^2}=48$ Subtracting 2 from both sides, we get, ⇒ $(x-\frac{1}{x})^2=48-2$ ⇒ $(x-\frac{1}{x})^2=46$ ⇒ $(x-\frac{1}{x})=\sqrt{46}$ Now consider, $\left(x^6-\frac{1}{x^6}\right)$ We know, $a^2-b^2=(a-b)(a+b)$ $=(x^3+\frac{1}{x^3})(x^3-\frac{1}{x^3})$ Also, $a^3+b^3=(a+b)(a^2-ab+b^2)$ and
Question : Select the option that can be used as a one-word substitute for the given group of words.
The scientific study of the behaviour, structure, physiology, classification and distribution of animals.
Option 1: Zoology
Option 2: Archaeology
Option 3: Petrology
Option 4: Ecology
Correct Answer: Zoology
Solution : The correct choice is the first option.
Explanation:
The given group of words refers to the systematic study of animals, encompassing various aspects such as behaviour, structure, physiology, classification, and distribution. The term that precisely encapsulates this scientific discipline is zoology. It is the
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