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Question : If $A+B=90^{\circ}$ and $\sin A=\frac{3}{5}$, then the value of $\tan B$ is:
Option 1: $\frac{4}{3}$
Option 2: $\frac{5}{4}$
Option 3: $\frac{3}{4}$
Option 4: $\frac{5}{3}$
Correct Answer: $\frac{4}{3}$
Solution : Given: $A+B=90^{\circ}$ and $\sin A=\frac{3}{5}$ $\sin A=\frac{3}{5}=\frac{\text{Perpendicular}}{Hypotenuse}$ Let, Perpendicular = $3k$ and Hypotenuse = $5k$ --------------[where, $k$ is constant] ⇒ Base = $\sqrt{(5k)^{2}–(3k)^{2}}$ ⇒ Base = $4k$ $\tan A=\frac{\text{Perpendicular}}{Base}$ ⇒ $\tan A=\frac{3k}{4k}$ ⇒ $\tan (90°–B)=\frac{3}{4}$ ⇒ $\cot B=\frac{3}{4}$ ⇒ $\tan B=\frac{4}{3}$ Hence, the correct answer
Question : Ajanta and Ellora caves are situated in which state of India?
Option 1: Kerala
Option 2: Odisha
Option 3: Maharashtra
Option 4: Jammu & Kashmir
Correct Answer: Maharashtra
Solution : The correct answer is Maharashtra.
The Ajanta and Ellora caves, situated near Aurangabad in Maharashtra, India, are ancient Buddhist architectural marvels. These sites were designated as UNESCO World Heritage Sites in 1983. The Ajanta Caves, nestled amidst the Sahyadri ranges along the Waghora River, were
Question : Given below are four sentences in jumbled order. Pick the option that gives their correct order.
A. Then I went up the steps to apartment number 17D. B. I strode along the pavement hurriedly and crossed the road. C. The hall was empty and there was no sign of anyone having entered before me. D. I opened the door with my key and went in.
Option 1: BADC
Option 2: BCDA
Option 3: CDAB
Option 4: DBCA
Correct Answer: BADC
Solution : The correct choice is the first option.
The paragraph starts with sentence B, which sets the scene by describing the narrator's movement along the pavement and crossing the road, followed by sentence A, which describes the narrator's action of going up the steps to
Question : Select the most appropriate idiom to fill in the blank. The family's meeting on property dispute begins today and I'm just sitting down with a cup of coffee, enjoying___________.
Option 1: the better of
Option 2: the corridors of power
Option 3: the calm before the storm
Option 4: the bottom line
Correct Answer: the calm before the storm
Solution : The correct choice is the third option.
The calm before the storm is an idiomatic expression that means a period of unusual peace or stability usually followed by turbulence or difficulty. This helps convey the intended meaning that the speaker
Question : The diameter of a cycle wheel is 14 cm. A cyclist takes 30 minutes to reach a destination at a speed of 11 km/hr. How many revolutions will the wheel make during the journey?
Option 1: 12500
Option 2: 15000
Option 3: 17750
Option 4: 20000
Correct Answer: 12500
Solution : Let the radius and diameter be $r$ and D, respectively. The distance covered in 1 revolution = 2$\pi r$ = $\pi$D = $\frac{22}{7}$ × 14 = 44 cm = 0.44 m Total distance covered in the journey = Speed × Time = 11 × ($\frac{30}{60}$)
Question : On a certain sum, the simple interest for 2 years is INR 12000. If the sum is INR 12000, then what will be the compound interest (compounding annually) on the same sum at the same rate of interest for the first 3 years?
Option 1: INR 29250
Option 2: INR 29300
Option 3: INR 28500
Option 4: INR 22750
Correct Answer: INR 28500
Solution : Sum, $P$ = INR 12000 Simple interest, SI = INR 12000 Term, $n$ = 2 years Let $R$ be the interest rate. Simple interest = $\frac{\text{Principal × term × Rate}}{100}$ ⇒ $12000 = \frac{12000 × 2 × R}{100}$ ⇒ $R = \frac{100}{2} = 50$%
Question : Select the option that expresses the given sentence in reported speech. She asked Aditi, "Where did you have lunch yesterday?"
Option 1: She asked Aditi whether she was having lunch yesterday.
Option 2: She asked Aditi where she was having lunch the previous day.
Option 3: She asked Aditi if she had lunch yesterday.
Option 4: She asked Aditi where she had lunch the previous day.
Correct Answer: She asked Aditi where she had lunch the previous day.
Solution : The correct choice is the fourth option.
The goal of the transformation is to convey the original meaning accurately in reported speech, considering changes in pronouns, verb forms, and sentence structure.
In the transformation from
Question : In which of the following events did India not win any medal at the Summer Olympics 2020 (played in 2021)?
Option 1: Men's hockey.
Option 2: Women's singles badminton.
Option 3: Men's javelin throw.
Option 4: Women's hockey.
Correct Answer: Women's hockey.
Solution : The correct answer is women's hockey.
India did not take home any medals from the women's hockey competitions at the 2020 Summer Olympics. India secured medals in events like weightlifting, wrestling, badminton and athletics. Notable achievements included Mirabai Chanu winning silver in weightlifting
Question : Who has taken over as President of the Financial Action Task Force in July 2022?
Option 1: T. Raja Kumar
Option 2: Sanjiv Kapoor
Option 3: Ashwani Bhatia
Option 4: Mahesh Verma
Correct Answer: T. Raja Kumar
Solution : The correct option is T. Raja Kumar.
T. Raja Kumar, a Singaporean, has been named the Financial Action Task Force's (FATF) president. His appointment is for a two-year term, starting on July 1, 2022.
Question : Select the most appropriate synonym of the given word. Yield
Option 1: Defy
Option 2: Bring
Option 3: Produce
Option 4: Build
Correct Answer: Produce
Solution : The third option is the correct choice.
The word yield can have multiple meanings, but in the context of producing or generating something, produce is the most appropriate synonym. Yield, in this sense, refers to creating or generating something, which aligns closely with the meaning
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