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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
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
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: +, ×, –
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 ×
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
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.
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
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
Question : The following table shows the production of different types of two-wheelers from 1993 to 1998. Number of two-wheelers (in 1000s)
What is the percentage increase in the total production of all types of two-wheelers in 1998 in comparison to 1996 (rounded off to the nearest integer)?
Option 1: 27%
Option 2: 25%
Option 3: 24%
Option 4: 26%
Correct Answer: 25%
Solution : Percentage increase in the total production of all types of two-wheelers in 1998 in comparison to 1996 = $\frac{334-268}{268}×100$ = 24.63% $\approx$ 25% Hence, the correct answer is 25%.
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 = $\frac{\text {Runs}}{\text {INN – NOT OUT}}$
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
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
Question : Directions: In the following question, one statement is given followed by two conclusions I and II. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statement. Statement: Songs always have singers to sing them. Conclusions: I. Singers make a song. II. There is no un-sung song.
Option 1: Only conclusion II follows
Option 2: Both conclusions I and II follow
Option 3: Neither conclusion I nor II follows
Option 4: Only conclusion I follows
Correct Answer: Neither conclusion I nor II follows
Solution : According to the given statement – Conclusion I: Singers make a song. This conclusion does not necessarily follow from the given statement. The statement mentions that songs have singers to sing them, which implies a relationship between singers and songs,
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
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
Question : What is the number of players in a Kho Kho team?
Option 1: 12
Option 2: 13
Option 3: 10
Option 4: 11
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
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
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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