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Question : Select the most appropriate one-word substitution for the given words. An imaginary ideal society
Option 1: Flawless
Option 2: Ultimate
Option 3: Utopia
Option 4: Model
Correct Answer: Utopia
Solution : The correct choice is the third option.
Utopia refers to an imagined community or society that possesses highly desirable or nearly perfect qualities. The term is often used to describe an idealised society.
The meanings of the other options are as follows:
Question : Select the word that is OPPOSITE in meaning to the underlined word in the given sentence.
She was reluctant to say anything to the members of the board.
Option 1: Impatient
Option 2: Hesitant
Option 3: Eager
Option 4: Annoyed
Correct Answer: Eager
The term reluctant indicates unwillingness or hesitation to do something. In contrast, eager suggests a strong desire, enthusiasm, or readiness to take action.
Impatient means restless or showing
Question : Who among the following has written the biography of Buddha, Buddhacharita?
Option 1: Vasumitra
Option 2: Charaka
Option 3: Ashvaghosha
Option 4: Nagarjuna
Correct Answer: Ashvaghosha
Solution : The correct answer is Ashvaghosha.
Ashvaghosha wrote the epic Buddhacharita, which recounts the biography of the Buddha. Ashvaghosha was a poet and philosopher of Sarvastivada Buddhism. He was born in northern India, in Saketa. Ashvaghosha wrote in Classical Sanskrit, even though Buddhism was known
Question : Directions: In the following question, select the related number from the given alternatives. 235 : 587 :: 435 : ?
Option 1: 788
Option 2: 989
Option 3: 789
Option 4: 988
Correct Answer: 789
Solution : Given: 235 : 587 :: 435 : ?
Here, add the first and second digits, the second and third digits, and the first and third digits of the first number to get the second number. Like, 235 : 587→2 + 3 = 5; 3 +
Question : $3^{50}+9^{26}+27^{18}+9^{28}+9^{29}$ is divisible by which of the following integers?
Option 1: 11
Option 2: 5
Option 3: 7
Option 4: 2
Correct Answer: 11
Solution : 350 + 926 + 2718 + 928 + 929 = 350 + 352 + 354 + 356 + 358 = 350(1 + 32 + 34 + 36 + 38
Question : If $\sin (A-B)=\sin A \cos B–\cos A\sin B$, then $\sin 15°$ will be:
Option 1: $\frac{\sqrt{3}+1}{2\sqrt{2}}$
Option 2: $\frac{\sqrt{3}}{2\sqrt{2}}$
Option 3: $\frac{\sqrt{3}–1}{–\sqrt{2}}$
Option 4: $\frac{\sqrt{3}–1}{2\sqrt{2}}$
Correct Answer: $\frac{\sqrt{3}–1}{2\sqrt{2}}$
Solution : Given: $\sin (A–B)=\sin A\cos B–\cos A\sin B$ Let $A=45°$ and $B=30°$ respectively. $\sin (45°–30°)=\sin 45°\cos 30°–\cos 45°\sin 30°$ ⇒ $\sin 15°=\frac{1}{\sqrt{2}}\times \frac{\sqrt{3}}{2}–\frac{1}{\sqrt{2}}\times \frac{1}{2}$ $\therefore \sin 15°=\frac{\sqrt{3}–1}{2\sqrt{2}}$ Hence, the correct answer is $\frac{\sqrt{3}–1}{2\sqrt{2}}$.
Question : Ramesh started a business investing a sum of INR 40,000. Six months later, Kevin joined by investing INR 20,000. If they make a profit of INR 10,000 at the end of the year, how much is the share of Kevin?
Option 1: INR 2,000
Option 2: INR 4,000
Option 3: INR 3,000
Option 4: INR 2,500
Correct Answer: INR 2,000
Solution : Ramesh's investment = INR 40000 Ramesh's period of investment = 12 months Kevin's investment = INR 20000 Kevin's period of investment = 6 months Total profit at the end of the year = INR 10000 We know that, Profit = capital invested × time
Question : In the sentence identify the segment that contains a grammatical error. The foul smell coming by the nearby garbage bin was really unbearable.
Option 1: garbage bin
Option 2: the nearby
Option 3: coming by
Option 4: was really unbearable
Correct Answer: coming by
Solution : The third option is the correct choice.
Explanation: We would replace "by" with "from" to make the sentence correct. "By" is used to refer next to something, beside, or near, while "from" is used to refer to a place where something or someone
Question : Which element of group 13 has the atomic number 113, and its electronic configuration is [Rn] 5f14 6d107s2 7p1?
Option 1: Gallium
Option 2: Indium
Option 3: Nihonium
Option 4: Thallium
Correct Answer: Nihonium
Solution : The correct answer is Nihonium.
The shell structure of Nihonium atoms is 2.8.18.32.32.18.3, and they contain 113 electrons. Neutral Nihonium has the electrical configuration [Rn] in its ground state.
Nihonium's term symbol is 2P1/2, and its electronic structure is estimated to be [Rn] 5f14
Question : Directions: In the following question, find the odd number pair from the given alternatives.
Option 1: 41 – 72
Option 2: 12 – 30
Option 3: 51 – 42
Option 4: 11 – 20
Correct Answer: 41 – 72
Solution : Let's check the options – First option: 41 – 72→4 + 1 = 5 and 7 + 2 = 9 Second option: 12 – 30→1 + 2 = 3 and 3 + 0 = 3 Third option: 51 – 42→5 + 1 =
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