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Question : Directions: Pointing towards a boy, Sarika said, He is my sister's son's father's wife's only sister's son. How is Sarika related to the boy?
Option 1: Sister
Option 2: Maternal grandmother
Option 3: Maternal aunt
Option 4: Mother
Correct Answer: Mother
Solution : Following the instructions of the question, the family tree will be –
Here, the quadrilateral represents the male and the circular figure represents the female in the figure.
So, Sarika is the mother of the boy. Hence, the fourth option is correct.
Question : If $x^2+\frac{1}{x^2}=2$, then the value of $x-\frac{1}{x}$ is:
Option 1: –2
Option 2: 0
Option 3: 1
Option 4: –1
Correct Answer: 0
Solution : Given: $x^2+\frac{1}{x^2}=2$ We know that the algebraic identity is $(x-\frac{1}{x})^2=x^2+\frac{1}{x^2}-2$ Substitute the value of $x^2+\frac{1}{x^2}=2$ in the above expression, we get, $(x-\frac{1}{x})^2=2-2$ ⇒ $(x-\frac{1}{x})^2=0$ ⇒ $(x-\frac{1}{x})=0$ Hence, the correct answer is 0.
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.) (168, 35, 143) (182, 65, 127)
Option 1: (142, 83, 69)
Option 2: (253, 99, 154)
Option 3: (203, 89, 117)
Option 4: (159, 62, 87)
Correct Answer: (142, 83, 69)
Solution : Given: (168, 35, 143); (182, 65, 127)
In the given sets, subtract the third number from the first number and then add 10. (168, 35, 143)→168 – 143 = 25; 25 + 10 = 35 (182, 65, 127)→182 – 127 = 55; 55
Question : Directions: In the following question, some parts of the sentence have errors, and some are correct. Find out which part of the sentence has an error. The number of that part is the answer. If a sentence is error-free, your answer is "No Error".
The climate (1) / of Mumbai (2) / is better than Hyderabad. (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 comparative degree "better" is employed to compare two things. In this particular sentence, it compares the climates of two places. When comparing one thing to another, it's appropriate to use "that of" for singular
Question : The famous tourist centre Mahabalipuram is located near:
Option 1: Bombay
Option 2: Delhi
Option 3: Chennai
Option 4: Calcutta
Correct Answer: Chennai
Solution : The correct answer is Chennai.
The 7th and 8th century Hindu Group of Monuments at Mahabalipuram are the town's most famous landmark. It is located in the Chengalpattu district of Tamil Nadu, a state in southeast India.
Question : Who among the following is a famous music director?
Option 1: Khayyam
Option 2: Sameer
Option 3: Anjaan
Option 4: Kaifi Azmi
Correct Answer: Khayyam
Solution : The correct option is Khayyam.
Khayyam, also known as Mohammed Zahur Khayyam Hashmi, was a renowned Indian music director and composer. He had a successful career in the Indian film industry. His contributions to Indian film music earned him several awards and accolades, including the
Question : Directions: Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number. 7 : 25 :: 4 : 4 :: 3 : ?
Option 1: 5
Option 2: 4
Option 4: 7
Correct Answer: 1
Solution : Given: 7 : 25 :: 4 : 4 :: 3 : ?
Like, 7 : 25→(7 – 2)2 = (5)2 = 25 And, 4 : 4→(4 – 2)2 = (2)2 = 4 Similarly, for 3 : ?→(3 – 2)2 =
Do you know (1) / whom the (2) next speaker is? (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 second part of the sentence.
Explanation: The relative pronoun "whom" is used for the object of a verb or preposition, while "who" is used for the subject. In this case, "who" is the correct choice because it is the subject
Question : Where do most of the weather phenomena take place?
Option 1: Ionosphere
Option 2: Troposphere
Option 3: Stratosphere
Option 4: Tropopause
Correct Answer: Troposphere
Solution : The correct answer is the Troposphere.
The troposphere is the lowest layer of the atmosphere where all the essential gases and water vapours which are vital for the existence of human life are present. In this layer, only all the climatic phenomena and all
Question : If $a \cot \theta=b$, what will be the value of $\frac{b \cos \theta–a \sin \theta}{b \cos \theta+a \sin \theta}$?
Option 1: $\frac{b^2+a^2}{b^2–a^2}$
Option 2: $b^2+a^2$
Option 3: $\frac{b^2–a^2}{b^2+a^2}$
Option 4: $0$
Correct Answer: $\frac{b^2–a^2}{b^2+a^2}$
Solution : Given: $a \cot \theta=b$ $⇒\cot \theta=\frac{b}{a}$ $⇒\frac{\cos \theta}{\sin \theta}=\frac{b}{a}$ Let $\cos a = bk $ and $\sin a =ak$ (where $k$ is a constant) Putting these values in the expression, we get, $\frac{b \cos \theta–a \sin \theta}{b \cos \theta+a \sin \theta}$ $=\frac{b×bk-a×ak}{b×bk+a×ak}$ $=\frac{k(b^2–a^2)}{k(b^2+a^2)}$ $=\frac{b^2–a^2}{b^2+a^2}$ Hence,
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