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Question : $\cos 2 \theta=$________.
Option 1: $1-2 \cos^2 \theta$
Option 2: $2 \cos^2 \theta-1$
Option 3: $2 \sin^2 \theta-1$
Option 4: $1-\sin^2 \theta$
Correct Answer: $2 \cos^2 \theta-1$
Solution : $\cos2\theta = \cos^2\theta-\sin^2\theta$ $= \cos^2\theta-(1-\cos^2\theta)$ $= 2\cos^2\theta-1$ Hence, the correct answer is $2\cos^2\theta-1$.
Question : Select the option that can be used as a one-word substitute for the given group of words. A life history of a person written by himself.
Option 1: Biography
Option 2: Epic
Option 3: Story
Option 4: Autobiography
Correct Answer: Autobiography
Solution : The fourth option is the correct choice.
"Autobiography" precisely represents the life history of a person written by that person.
The meanings of the other options are as follows:
Question : As of March 2022, which of the following dance forms has not been listed as a classical dance in India?
Option 1: Odissi
Option 2: Mohiniyattam
Option 3: Kuchipudi
Option 4: Lavani
Correct Answer: Lavani
Solution : The correct answer is Lavani.
Lavani is not a classical dance. It is a traditional folk dance that contributed substantially to the development of Marathi folk theatre.
There are eight classical dances in India:
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".
The fact of me (1) / being a stranger (2) / does not excuse his conduct. (3) / No error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (1)
Solution : The error lies in the first part of the sentence.
The error in the first part is that "me" should be replaced with "my". When one wants to show possession, the possessive pronoun my should be used instead of the objective pronoun me. So, it
Question : Direction: In this question, a word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in the two matrices, given below. The columns and rows of Matrix (I) are numbered from 0 to 4 and that of Matrix (II) are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, e.g. 'B' can be represented by 00,13, etc., and 'A' can be represented by 55, 69, etc. Similarly, you have to identify the set for the word.
'GIRL'
Option 1: 02, 56, 97, 24
Option 2: 31, 79, 68, 42
Option 3: 23, 97, 77, 11
Option 4: 11, 88, 95, 23
Correct Answer: 23, 97, 77, 11
Solution : Given: GIRL
Number representations of each letter: G → 10, 31, 02, 23, 44 I → 65, 56, 97, 88, 79 R → 95, 86, 77, 68, 59 L → 40, 11, 32, 03, 24
First option: 02, 56, 97, 24
Question : Which of the followinf is FALSE with respect to rain water harvesting ?
Option 1: It is a device of water conservation
Option 2: It helps in raising water table
Option 3: It helps in meeting rising water demands
Option 4: It increases run off losses
Correct Answer: It increases run off losses
Solution : The correct answer is increases run off losses.
Rainwater harvesting is a method of conserving rainwater and saving it for future use. It is highly beneficial as it addresses the rising demand of water, it increases the water table and it
Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? 1, 8, 9, 64, 25, 216, 49, ?
Option 1: 612
Option 2: 512
Option 3: 552
Option 4: 385
Correct Answer: 512
Solution : Given: 1, 8, 9, 64, 25, 216, 49, ?
The pattern is as follows – 12 = 1; 23 = 8; 32 = 9; 43 = 64, 52 = 25, 63 = 216, 72 = 49, 83
Question : Select the correct direct form of the given sentence. I asked my brother if he had visited his friend who was in the hospital.
Option 1: I said to my brother, "Has you visit your friend who is in the hospital?"
Option 2: I said to my brother, "Did you visited your friend who was in the hospital?"
Option 3: I said to my brother, "Do you visit your friend who is in the hospital?"
Option 4: I said to my brother, "Have you visited your friend who is in the hospital?"
Correct Answer: I said to my brother, "Have you visited your friend who is in the hospital?"
Solution : The correct choice is the fourth option.
The steps of conversion are as follows:
Question : Directions: Select the number from among the given options that can replace the question mark (?) in the following series. 112, 101, 91, ?, 74, 67
Option 1: 81
Option 2: 85
Option 3: 80
Option 4: 82
Correct Answer: 82
Solution : Given: 112, 101, 91, ?, 74, 67
In the above-given series, subtract consecutive natural numbers in descending order from the numbers. 112 – 11 = 101; 101 – 10 = 91; 91 – 9 = 82; 82 – 8 = 74; 74 – 7 =
Question : Select the correct passive form of the given sentence.
Why has the Chief Minister sealed the Delhi borders?
Option 1: Why are the Delhi borders being sealed by the Chief Minister?
Option 2: Why have the Delhi borders been sealed by the Chief Minister?
Option 3: Why the Chief Minister has been sealed by the Delhi borders?
Option 4: Why were the Delhi borders sealed by the Chief Minister?
Correct Answer: Why have the Delhi borders been sealed by the Chief Minister?
Solution : The correct passive form of the given sentence is the second option.
Explanation:
Passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence,
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