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Question : The value of $\frac{\sec 54^{\circ}}{\operatorname{cosec} 36^{\circ}}+\frac{\tan 70^{\circ}}{\cot 20^{\circ}}-2 \tan 45^{\circ}$ is equal to:
Option 1: 2
Option 2: 0
Option 3: 1
Option 4: 3
Correct Answer: 0
Solution : $\frac{\sec 54^{\circ}}{\operatorname{cosec} 36^{\circ}}+\frac{\tan 70^{\circ}}{\cot 20^{\circ}}-2 \tan 45^{\circ}$ $= \frac{\sec 54^{\circ}}{\operatorname{cosec} (90^\circ-54^{\circ})}+\frac{\tan 70^{\circ}}{\cot (90^\circ-70^{\circ})}-2 \tan 45^{\circ}$ $=\frac{\sec 54^{\circ}}{\sec 54^{\circ}}+\frac{\tan 70^{\circ}}{\tan 70^{\circ}}-2×1$ = 1 + 1 – 2 = 0 Hence, the correct answer is 0.
Question : Which one of the following occurs when current expenses exceed the amount of income received through standard operations?
Option 1: Budget variance
Option 2: Budgetary slack
Option 3: Budget deficit
Option 4: Budget surplus
Correct Answer: Budget deficit
Solution : The correct answer is Budget deficit.
When current expenses surpass the income generated through standard operations, it leads to a "Budget deficit." In this financial scenario, the organisation or entity is spending more than it is earning, creating a deficit that may need
Question : Directions: Four numbers have been given out of which three are alike in some manner, while one is different. Choose the odd one.
Option 1: 117
Option 2: 103
Option 3: 107
Option 4: 113
Correct Answer: 117
Solution : Let's check each option – First option: 117; 117 is not a prime number. Second option: 103; 103 is a prime number. Third option: 107; 107 is a prime number. Fourth option: 113; 113 is a prime number.
So, only the first option doesn't follow
Question : If $x^2-9x+1=0$, what is the value of $(x^3+\frac{1}{x^3})$?
Option 1: $54$
Option 2: $108$
Option 3: $702$
Option 4: $810$
Correct Answer: $702$
Solution : Given: $x^2-9x+1=0$ Dividing both sides by $x$, we get, $⇒x-9+\frac{1}{x}=0$ $⇒x+\frac{1}{x}=9$ Cubing both sides, we get, $⇒(x+\frac{1}{x})^3=9^3$ $⇒x^3+\frac{1}{x^3}+3×x×\frac{1}{x}(x+\frac{1}{x})=729$ $⇒x^3+\frac{1}{x^3}+3×9=729$ $\therefore x^3+\frac{1}{x^3}=729-27=702$ Hence, the correct answer is $702$.
Question : How many Fundamental Duties are included in the Indian Constitution?
Option 1: Nine
Option 2: Ten
Option 3: Eleven
Option 4: Twelve
Correct Answer: Eleven
Solution : The correct answer is Eleven.
Part IV of the Constitution was amended in 1976, adding ten basic functions. Another essential obligation was added in 2002 with the passage of the 86th constitutional amendment. Article 51(A) mentions these essential responsibilities. They cannot be enforced
Question : Direction: Raj is standing in the middle of a square field. He starts walking diagonally to the northeast. Then he turns right and reaches the far end of the field. Then he turns right and starts walking. In the middle, he again turns right and starts walking. At halfway, he turns to his left and reaches a new far end. In what direction is Raj facing now?
Option 1: South-West
Option 2: North
Option 3: South
Option 4: North-West
Correct Answer: North-West
Solution : As per the given information, movement of Raj will look as follows –
According to the above diagram, Raj is facing the North-west direction.
Hence, the fourth option is correct.
Question : The ages of Gyanendra and Arbind are in the ratio 6 : 5. If the sum of their ages is 55 years, then what will be the ratio of their ages seven years from now?
Option 1: 5 : 6
Option 2: 37 : 32
Option 3: 32 : 37
Option 4: 6 : 5
Correct Answer: 37 : 32
Solution : Given: Ratio of Gyanendra and Arbind = 6 : 5 The sum of their ages = 55 years Let the age of Gyanendra be $6x$ and the age of Arbind be $5x$. According to the question, ⇒ $6x+5x=55$ ⇒ $11x=55$ ⇒ $x=5$ So,
Question : Which of the following countrios was the host of AFC Women's Asia Cup Football-2022?
Option 1: Japan
Option 2: Bangladesh
Option 3: India
Option 4: Ching
Correct Answer: India
Solution : The correct answer is -India
The venues for the AFC Women's Asian Cup 2022 were spread out over three Indian cities. The AFC confirmed the three host cities for the event in June 2021. Originally, the host cities were Ahmedabad, Bhubaneswar, and Navi Mumbai
Question : Select the option that expresses the given sentence in passive voice. Someone has drunk all the wine in the glass.
Option 1: All the wine in the glass had being drunk.
Option 2: All the wine in the glass has been drunk by someone.
Option 3: All the wine in the glass had been drunk.
Option 4: All the wine in the glass has drunk.
Correct Answer: All the wine in the glass has been drunk by someone.
Solution : The correct choice is the second option.
Passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence, the object in the active sentence
Question : Directions: A sentence or a part of the sentence is printed in bold. Below are alternatives to the bold part that may improve the sentence. Choose the correct alternative. In case no improvement is needed, choose "No Improvement".
The centre would reconsider its draft and limit its scope to just providing relief to women, instead of creating a new regulative.
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 3
Solution : The correct choice is the third option.
Regulation refers to a specific rule or set of rules. The sentence conveys that the centre is reconsidering its draft and choosing not to introduce a new set of rules or laws (regulations) but would rather focus on
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