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11 Views

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: $\frac{5}{3}$

Team Careers360 26th Jan, 2024

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

10 Views

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

Team Careers360 26th Jan, 2024

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

10 Views

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

Team Careers360 27th Jan, 2024

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

11 Views

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

Team Careers360 27th Jan, 2024

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

38 Views

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

Team Careers360 26th Jan, 2024

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 × ($\frac{30}{60}$)

31 Views

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

Team Careers360 26th Jan, 2024

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 = $\frac{\text{Principal × term × Rate}}{100}$
⇒ $12000 = \frac{12000 × 2 × R}{100}$
⇒ $R = \frac{100}{2} = 50$%

33 Views

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.

Team Careers360 27th Jan, 2024

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

21 Views

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.

Team Careers360 27th Jan, 2024

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

10 Views

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

Team Careers360 26th Jan, 2024

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.

14 Views

Question : Select the most appropriate synonym of the given word.
Yield

Option 1: Defy

Option 2: Bring

Option 3: Produce

Option 4: Build

Team Careers360 27th Jan, 2024

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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