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Question : If $(\sin \theta+\operatorname{cosec} \theta)^2+(\cos \theta+\sec \theta)^2=k+\tan ^2 \theta+\cot ^2 \theta$, then the value of $k$ is equal to:

Option 1: 7

Option 2: 2

Option 3: 5

Option 4: 9

Team Careers360 25th Jan, 2024

Correct Answer: 7


Solution : Given: $(\sin \theta+\operatorname{cosec} \theta)^2+(\cos \theta+\sec \theta)^2=k+\tan ^2 \theta+\cot ^2 \theta$
⇒ $\sin^{2}θ + 2\sinθ\operatorname{cosec}θ + \operatorname{cosec}^{2}θ +\cos^{2}θ + 2\cos θ \secθ + \sec^{2}θ=k+\tan ^2 \theta+\cot ^2 \theta$
⇒ $k = \sin^{2}θ + \operatorname{cosec}^{2}θ + \cos^{2}θ+\sec^{2}θ + 2(1+1)​ - \tan ^2 \theta-\cot ^2 \theta$
⇒ $k

7 Views

Question : Directions: Substitute the arithmetical signs in the place of * in the following equation.
7 * 7 * 2 * 1 = 12

Option 1: ×, –, ÷

Option 2: +, –, ×

Option 3: ×, –, +

Option 4: +, ×, –

Team Careers360 25th Jan, 2024

Correct Answer: +, –, ×


Solution : Let's check the option –
First option: ×, –, ÷
Equation after replacing the signs ⇒ 7 × 7 – 2 ÷ 1 = 12
Solving the L.H.S. of the equation –
= 7 × 7 – 2 ÷ 1
= 7 ×

10 Views

Question : Who among the following was the only athlete to represent India in the 1900 Summer Olympics?

Option 1: Norman Pritchard

Option 2: Khashaba Dadasaheb Jadhav

Option 3: Purma Banerjee

Option 4: Phadeppa Dareppa Chaugule

Team Careers360 25th Jan, 2024

Correct Answer: Norman Pritchard


Solution : The correct option is Norman Pritchard.

India had its first appearance at the modern Olympic Games in 1900 when one athlete, Norman Pritchard, represented the country in the Paris Summer Olympics. He participated in athletics and tennis events during the games held in Paris.

235 Views

Question : Gugga Naumi festival is celebrated in which of the following states?

Option 1: Gujarat

Option 2: Uttarakhand

Option 3: Himachal Pradesh

Option 4: Haryana

Team Careers360 25th Jan, 2024

Correct Answer: Haryana


Solution : The correct answer is Haryana.

Haryana celebrates the Gugga Naumi festival during the lunar month of Bhadon. It is observed from August through September and is associated with snake worship. This festival honours Gugga Pir, who also happens to be in Bhadon. The northern Indian

4 Views

Question : Direction: The table given below shows the statistics of the top 10 scores in IPL 2016. A few entries are missing in the table. Here INN, AVG and SR stand for innings played, batting average, and batting strike rate respectively. Based on the table answer the following question.
(Strike rate = $\frac{\text{Runs}}{\text{balls faced}}\times $100) and AVG = $\frac{\text {Runs}}{\text {INN – NOT OUT}}$

Player INN Runs Not out Balls Faced AVG SR 4s 6s
Virat Kohli 12 752 3 508   148.03 60 28
AB de Villiers 12 597 2 344 59.7 173.55 51 32
David Wamer 12 567 2   56.7 155.77   23
Ajinkya Rahane 13 461   364 46.1   50 9
Rohit Sharma 13 459 3 351 45.9 130.77 45  
Gautam Gambhir 12 449 2 360 44.9 124.72 50 5
Shikhar Dhawan 12 402   352 50.25 114.2   4
Quinton de Kock 11 385 1 266 38.5   47 12
Murali Vijay 12 378 1 315 34.36   44 6
Ambati Rayudu 12 334 1 278 30.36 120.14 28 12

By what percentage approximately is the batting average of Virat Kohli more than that of Gautam Gambhir?

Option 1: 80

Option 2: 85

Option 3: 75

Option 4: 70

Team Careers360 25th Jan, 2024

Correct Answer: 85


Solution : Virat Kohli's batting average = $\frac{\text{Runs}}{\text{Inning – Not out}}$ = $\frac{752}{12-3}$ = 83.66
Also, batting average of Gautam Gambhir = 44.9
So, the required percentage = $\frac{\text{Difference in batting average}}{\text{Batting average of Gautam Gambhir}}×100$
= $\frac{83.66-44.9}{44.9}×100$
= $\frac{38.37}{44.9}×100$
= 85.45% (approx)
Hence, the correct answer

22 Views

Question : The time between program input and output is called:

Option 1: Turnaround time

Option 2: Waiting time

Option 3: Execution time

Option 4: Delay time

Team Careers360 25th Jan, 2024

Correct Answer: Turnaround time


Solution : The correct answer is Turnaround time.

In the context of batch processing or task scheduling systems, turnaround time refers to the time between program input and output. The complete process from submitting a task or program for processing through waiting (if necessary), executing

18 Views

Question : What is the number of players in a Kho Kho team?

Option 1: 12

Option 2: 13

Option 3: 10

Option 4: 11

Team Careers360 25th Jan, 2024

Correct Answer: 12


Solution : The correct option is 12.

Each kho-kho team consists of twelve players, but only nine players take the field once during a match. There are two innings in a game. In an inning, each team gets seven minutes to attack and seven minutes to

20 Views

Question : What the least value should be added to 2505 so that it becomes a perfect square?

Option 1: 5

Option 2: 20

Option 3: 70

Option 4: 96

Team Careers360 25th Jan, 2024

Correct Answer: 96


Solution : 2505 + $x$ = perfect square
The perfect square nearest to 2505 is 2601 = 512
$\therefore x$ = 2601 – 2505 = 96
Hence, the correct answer is 96. 

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