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Question : In right angled triangle ABC, if $\angle \mathrm{A}=30^{\circ}$, find the value of $3 \sin \mathrm{A}-4 \sin ^3 \mathrm{~A}$.
Option 1: 2
Option 2: –1
Option 3: –2
Option 4: 1
Correct Answer: 1
Solution : Given that $\angle A = 30^{\circ}$ We know that, $\sin A = \sin 30°= \frac{1}{2}$ Now, Substitute $\sin A = \frac{1}{2}$ into the expression $3 \sin A - 4 \sin^3 A$: $3 \sin A - 4 \sin^3 A = 3 \times \frac{1}{2} - 4 \times
Question : Select the most appropriate option that can substitute the underlined segment in the given sentence. If there is no need to substitute it, select ‘No substitution’. The students decided to surprise their teacher on her birthday.
Option 1: their teacher at her birthday
Option 2: there teacher on her birthday
Option 3: her teacher on her birthday
Option 4: No substitution
Correct Answer: No substitution
Solution : The correct choice is the fourth option.
The original sentence is grammatically correct and conveys the intended meaning. It implies that the students planned to surprise the teacher on her birthday.
Therefore, the given sentence needs no substitution.
Question : Identify the segment in the sentence which contains a grammatical error.
I didn't bought the book as I had no money.
Option 1: no money
Option 2: I didn't bought
Option 3: as i had
Option 4: the book
Correct Answer: I didn't bought
Solution : The error lies in the second option.
The base form of the verb should be used after did to correctly convey that the event occurred in the past. Thus, bought should be replaced with buy to make the sentence grammatically accurate.
Therefore,
Question : Directions: In the following question, the sentence given with a blank is to be filled in with an appropriate word. Select the correct alternative out of the four.
The elephant stampeded and tore _____ the streets.
Option 1: on
Option 2: out
Option 3: off
Option 4: down
Correct Answer: down
Solution : The fourth option is the correct answer. In this context, "down" is used to indicate that the elephant ran forcefully through the streets, causing destruction along the way. It conveys the idea that the elephant moved in a downward direction along the streets.
"Off": "Tore
Question : Sultan Muhammad Ghori defeated Prithviraja III in _______.
Option 1: 1191
Option 2: 1211
Option 3: 1192
Option 4: 1195
Correct Answer: 1192
Solution : The correct answer is 1192.
The Second Battle of Tarain, which occurred in 1192, was a pivotal conflict between Sultan Muhammad Ghori of the Ghurid dynasty and Prithviraja III, the Chahamana (Chauhan) king of Delhi. The outcome of the battle was decisive, with Sultan
Question : Which causes rainfall during winters in the north-western part of India?
Option 1: Western disturbances
Option 2: Cyclonic depression
Option 3: Southwest monsoon
Option 4: Retreating monsoon
Correct Answer: Western disturbances
Solution : The correct answer is Western disturbances.
Western disturbances are extratropical weather phenomena that typically affect the Indian subcontinent, especially its northern and northwest parts. They are storms that originate in the Caspian or Mediterranean Seas and provide non-monsoonal rainfall to northwest India during
Question : Which of the following statements about the cell cycle is false?
Option 1: Preparation of mitosis takes place in the G2 phase.
Option 2: In the M phase, the cell grows physically larger and copies organelles.
Option 3: In the S phase, replication of DNA takes place.
Option 4: In the G1 phase, the cell grows physically larger and copies organelles.
Correct Answer: In the M phase, the cell grows physically larger and copies organelles.
Solution : The correct option is In the M phase, the cell grows physically larger and copies organelles.
The M phase of the cell cycle primarily involves mitosis, where the cell divides into two daughter
Question : Who was the Lieutenant Governor of Jammu and Kashmir in October 2022?
Option 1: Satya Pal Malik
Option 2: Girish Chandra Murmu
Option 3: Manoj Sinha
Option 4: N.N. Vohra
Correct Answer: Manoj Sinha
Solution : The correct answer is Manoj Sinha.
Manoj Sinha was the Lieutenant Governor of Jammu and Kashmir in October 2022. He was the second LG of the union territory of Jammu & Kashmir. Before him, Girish Chandra Murmu was the first Lieutenant Governor of
Question : Where does the Eastern Coastal Plain of India lie?
Option 1: Between Diu and Kerala
Option 2: Between the Eastern Ghats and the Bay of Bengal
Option 3: Between the Gulf of Cambay and Cape Comorin
Option 4: Between Maharashtra and Kerala
Correct Answer: Between the Eastern Ghats and the Bay of Bengal
Solution : The correct option is Between the Eastern Ghats and the Bay of Bengal
Between the Bay of Bengal and the Eastern Ghats mountain range in India is the Eastern Coastal Plain. The Eastern Coastal Plain is a
Question : Comprehension: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank. When another old cave is discovered in the south of France, it is not (1)________ in the news. Rather, it is an ordinary event. Such discoveries are so (2)________ these days that hardly anybody pays heed to them. However, when the Lascaux cave complex was discovered in 1940, the world was (3)________. Painted directly on its walls were hundreds of scenes showing how people lived thousands of years ago. The scenes show people hunting animals, such as bison or wild cats. Other images (4)________ birds and, most noticeably, horses, which appear in more than 300 wall images, by far (5)________ all other animals. Question: Select the most appropriate option to fill in the blank number 2.
Option 1: disorderly
Option 2: frequent
Option 3: ghastly
Option 4: delusional
Correct Answer: frequent
Solution : The second option is correct.
The word 'frequent' means occurring often or at regular intervals. In the context of the passage, it accurately conveys the idea that discoveries of old caves are a common occurrence in the present time.
Therefore, the correct answer
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