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Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13- Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (53, 36, 25) (71, 54, 43)
Option 1: (41, 23, 18)
Option 2: (99, 82, 71)
Option 3: (66, 53, 41)
Option 4: (32, 14, 7)
Correct Answer: (99, 82, 71)
Solution : Given: (53, 36, 25); (71, 54, 43)
In the above-given set of numbers, divide the sum of the first and third numbers by 2 and subtract 3 from the resultant to get the second number – ⇒(53, 36, 25)→{(53 + 25) ÷ 2}
Question : Raja Ram Mohan Roy founded a reform association known as Brahmo Sabha, which was later known as___________.
Option 1: Dev Samaj
Option 2: Arya Samaj
Option 3: Brahmo School
Option 4: Brahmo Samaj
Correct Answer: Brahmo Samaj
Solution : The correct option is Brahmo Samaj.
Raja Ram Mohan Roy founded the Brahmo Sabha, which was later known as the Brahmo Samaj. Raja Ram Mohan Roy established the Brahmo Samaj to promote monotheism, the worship of the formless divine, and opposing idol worship.
Question : Among the following rivers, which is not a tributary of the Indus River system?
Option 1: Kosi
Option 2: Sutlej
Option 3: Ravi
Option 4: Beas
Correct Answer: Kosi
Solution : The correct option is Kosi.
Kosi is not a tributary of the Indus River system. It flows through the Indian states of Bihar and Nepal, ultimately joining the Ganges. In contrast, the Indus River system comprises tributaries such as the Jhelum, Chenab, Ravi, Beas and
Question : The radius of the base of a cylindrical tank is 4 m. If three times the sum of the areas of its two circular faces is twice the area of its curved surface, then the capacity (in kilolitres) of the tank is:
Option 1: $54 \pi$
Option 2: $144 \pi$
Option 3: $96 \pi$
Option 4: $108 \pi$
Correct Answer: $96 \pi$
Solution : The radius of the base of a cylindrical tank, $r$ = 4 m Let the height of the cylinder be $h$. According to the question, Three times the sum of the areas of its two circular faces is twice the area of its curved
Question : The Kuchipudi classical dance is accompanied by which type of music?
Option 1: Kajari Music
Option 2: Chaiti Music
Option 3: Carnatic Music
Option 4: Hindustani Music
Correct Answer: Carnatic Music
Solution : The correct option is Carnatic Music
Kuchipudi, a classical dance form that originated in the state of Andhra Pradesh in India, is traditionally accompanied by Carnatic music. Carnatic music is a form of classical music that has its roots in South India. In this
Question : What is the value of $ \left(\mathrm{k}-\frac{1}{\mathrm{k}}\right)\left(\mathrm{k}^2+\frac{1}{\mathrm{k}^2}\right)\left(\mathrm{k}^4+\frac{1}{\mathrm{k}^4}\right)\left(\mathrm{k}^8+\frac{1}{\mathrm{k}^8}\right)\left(\mathrm{k}^{16}+\frac{1}{\mathrm{k}^{16}}\right)\left(\mathrm{k}^{32}+\frac{1}{\mathrm{k}^{32}}\right)? $
Option 1: $\frac{\mathrm{k}^{64}-\frac{1}{\mathrm{k}^{64}}}{\mathrm{k}+\frac{1}{\mathrm{k}}}$
Option 2: $\frac{\mathrm{k}^{32}-\frac{1}{\mathrm{k}^{32}}}{\mathrm{k}-\frac{1}{\mathrm{k}}}\\$
Option 3: $\frac{\mathrm{k}^{32}-\frac{1}{\mathrm{k}^{32}}}{\mathrm{k}+\frac{1}{\mathrm{k}}}\\$
Option 4: $\frac{\mathrm{k}^{32}+\frac{1}{\mathrm{k}^{32}}}{\mathrm{k}+\frac{1}{\mathrm{k}}}$
Correct Answer: $\frac{\mathrm{k}^{64}-\frac{1}{\mathrm{k}^{64}}}{\mathrm{k}+\frac{1}{\mathrm{k}}}$
Solution : $ \left(\mathrm{k}-\frac{1}{\mathrm{k}}\right)\left(\mathrm{k}^2+\frac{1}{\mathrm{k}^2}\right)\left(\mathrm{k}^4+\frac{1}{\mathrm{k}^4}\right)\left(\mathrm{k}^8+\frac{1}{\mathrm{k}^8}\right)\left(\mathrm{k}^{16}+\frac{1}{\mathrm{k}^{16}}\right)\left(\mathrm{k}^{32}+\frac{1}{\mathrm{k}^{32}}\right) $ Multiplying and dividing by $(\mathrm{k}+\frac{1}{\mathrm{k}})$ = $ \frac{(\mathrm{k}+\frac{1}{\mathrm{k}})\left(\mathrm{k}-\frac{1}{\mathrm{k}}\right)\left(\mathrm{k}^2+\frac{1}{\mathrm{k}^2}\right)\left(\mathrm{k}^4+\frac{1}{\mathrm{k}^4}\right)\left(\mathrm{k}^8+\frac{1}{\mathrm{k}^8}\right)\left(\mathrm{k}^{16}+\frac{1}{\mathrm{k}^{16}}\right)\left(\mathrm{k}^{32}+\frac{1}{\mathrm{k}^{32}}\right)}{(\mathrm{k}+\frac{1}{\mathrm{k}})} $ = $ \frac{(\mathrm{k}^2-\frac{1}{\mathrm{k}^2})\left(\mathrm{k}^2+\frac{1}{\mathrm{k}^2}\right)\left(\mathrm{k}^4+\frac{1}{\mathrm{k}^4}\right)\left(\mathrm{k}^8+\frac{1}{\mathrm{k}^8}\right)\left(\mathrm{k}^{16}+\frac{1}{\mathrm{k}^{16}}\right)\left(\mathrm{k}^{32}+\frac{1}{\mathrm{k}^{32}}\right)}{(\mathrm{k}+\frac{1}{\mathrm{k}})} $ = $ \frac{(\mathrm{k}^4-\frac{1}{\mathrm{k}^4})\left(\mathrm{k}^4+\frac{1}{\mathrm{k}^4}\right)\left(\mathrm{k}^8+\frac{1}{\mathrm{k}^8}\right)\left(\mathrm{k}^{16}+\frac{1}{\mathrm{k}^{16}}\right)\left(\mathrm{k}^{32}+\frac{1}{\mathrm{k}^{32}}\right)}{(\mathrm{k}+\frac{1}{\mathrm{k}})} $ = $ \frac{(\mathrm{k}^8-\frac{1}{\mathrm{k}^8})\left(\mathrm{k}^8+\frac{1}{\mathrm{k}^8}\right)\left(\mathrm{k}^{16}+\frac{1}{\mathrm{k}^{16}}\right)\left(\mathrm{k}^{32}+\frac{1}{\mathrm{k}^{32}}\right)}{(\mathrm{k}+\frac{1}{\mathrm{k}})} $ = $ \frac{(\mathrm{k}^{16}-\frac{1}{\mathrm{k}^{16}})\left(\mathrm{k}^{16}+\frac{1}{\mathrm{k}^{16}}\right)\left(\mathrm{k}^{32}+\frac{1}{\mathrm{k}^{32}}\right)}{(\mathrm{k}+\frac{1}{\mathrm{k}})} $ = $\frac{(\mathrm{k}^{32}-\frac{1}{\mathrm{k}^{32}})\left(\mathrm{k}^{32}+\frac{1}{\mathrm{k}^{32}}\right)}{(\mathrm{k}+\frac{1}{\mathrm{k}})} $ = $\frac{(\mathrm{k}^{64}-\frac{1}{\mathrm{k}^{64}})}{(\mathrm{k}+\frac{1}{\mathrm{k}})} $ Hence, the correct answer is $\frac{(\mathrm{k}^{64}-\frac{1}{\mathrm{k}^{64}})}{(\mathrm{k}+\frac{1}{\mathrm{k}})}$.
Question : Which explorer discovered a sea route to India in 1498?
Option 1: Vasco da Gama
Option 2: Marco Polo
Option 3: Thomas Coryat
Option 4: Megasthenes
Correct Answer: Vasco da Gama
Solution : The correct answer is Vasco da Gama
Vasco da Gama discovered a sea route to India in 1498. He was a Portuguese navigator. He was the first European to reach India by sailing through Africa. He reached Calicut during the reign of the
Question : If $x^{2}+y^{2}+2x+1=0$, then the value of $x^{31}+y^{35}$ is:
Option 1: –1
Option 2: 0
Option 3: 1
Option 4: 2
Correct Answer: –1
Solution : Given: $x^{2}+y^{2}+2x+1=0$ ⇒ $x^{2}+2x+1+y^{2}=0$ ⇒ $(x+1)^2+y^2=0$ Since the addition of the squares of the two terms is zero, So, both the terms are individually zero. Therefore, $(x+1)^2=0$ and $y^2=0$. ⇒ $x=-1$ and $y=0$ Now, $x^{31}+y^{35}$ = $(-1)^{31}+(0)^{35}$ = –1 Hence, the correct answer is –1.
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".
She does not listen to me (1) / because she is (2) / senior than me. (3) / No error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The error lies in the third part of the sentence.
The preposition that should follow "senior" is to as adjectives ending in "-ior", such as junior, senior, inferior, and superior, are followed by to and not than.
Therefore, the correct sentence is: "She does
Question : Directions: Select the figure from among the given options that can replace the question mark (?) in the following series.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : According to the given figures – 1. The circle in the box is moving in a clockwise direction from one corner to another. 2. The arrow inside the box is rotating by 90° in the anticlockwise direction. 3. The letters that are present in the box
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