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Question : In a triangle $XYZ$ right-angled at $Y$, if $XY=2\sqrt{6}$ and $XZ-YZ=2$, then $\sec X+\tan X$ is:
Option 1: $\frac{1}{\sqrt{6}}$
Option 2: $\sqrt{6}$
Option 3: $2\sqrt{6}$
Option 4: $\frac{\sqrt{6}}{2}$
Correct Answer: $\sqrt{6}$
Solution : Given: $XY=2\sqrt{6}$ and $XZ-YZ=2$ So, $XY^2+YZ^2=XZ^2$ ------------------------------ (1) ⇒ $XZ^2-YZ^2=XY^2=(2\sqrt{6})^2$ ⇒ $(XZ+YZ)(XZ-YZ)=24$ ⇒ $XZ+YZ=12$ (As $XZ-YZ=2$) -------------------- (2) Now, after solving both equations, we get, $XZ=7$ and $YZ=5$ Now, $\sec X+\tan X$ = $\frac{7}{(2\sqrt{6})} + \frac{5}{(2\sqrt{6})} $ = $\frac{12}{(2\sqrt{6})}$ = $\sqrt{6}$ Hence, the correct answer
Question : Select the most appropriate option that can substitute the underlined segment in the given sentence. If only I was young again.
Option 1: I were young again
Option 2: I be young again
Option 3: I will be young again
Option 4: I am young again
Correct Answer: I were young again
Solution : The correct choice is the first option.
The original sentence, "If only I was young again", uses the past tense "was" in a subjunctive mood. When expressing a hypothetical or contrary-to-fact condition in the present or future, it's
Question : In an assembly election, a candidate got 60% of the total valid votes. 2% of the total votes were declared invalid. If the total number of voters is 1,50,000, then find the number of valid votes polled in favour of that candidate.
Option 1: 90,000
Option 2: 78,000
Option 3: 86,400
Option 4: 88,200
Correct Answer: 88,200
Solution : Total votes = 150000 Invalid votes = 2% of the total votes The winner got = 60% of the valid votes Total valid votes = $150000 \times \frac{100−2}{100}$ = $150000 \times \frac{98}{100} = 147000$ $\therefore$ Votes polled in favor of the candidate = $\frac{60}{100}\times147000 =
Question : Directions: In the following question a series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series. 6, 10, 18, 34, ___
Option 1: 46
Option 2: 56
Option 3: 66
Option 4: 76
Correct Answer: 66
Solution : Given: 6, 10, 18, 34, ___
In the given series, add twice the difference of the previous number to get the next number – 6 + 4 = 10; 10 + (4 × 2) = 10 + 8 = 18; 18 + (8 × 2)
Question : In 2019, which Indian became the youngest in the world to score a double hundred in 50-over cricket including List A and ODIs?
Option 1: Yashasvi Jaiswal
Option 2: Shubman Gill
Option 3: Prithvi Shaw
Option 4: Abbas Ali Baig
Correct Answer: Yashasvi Jaiswal
Solution : The correct option is Yashasvi Jaiswal.
Yashasvi Jaiswal had achieved the record for being the youngest Indian to score a double century in List A cricket and ODIs. List A cricket refers to limited-overs matches that are not classified as Twenty20 (T20) matches. The
Question : What type of products ,does CACP recommend minimum support price for?
Option 1: industrial products
Option 2: Agricultural products
Option 3: pharmaceutical products
Option 4: None of the above
Correct Answer: Agricultural products
Solution : The correct option is Agricultural products.
The Commission for Agricultural Costs and Prices (CACP) operates as an independent entity within India's Ministry of Agriculture and Farmers Welfare, tasked with the crucial role of proposing minimum support prices (MSPs) for a range of vital agricultural
Question : Justice Indu Malhotra penned a dissenting opinion in which of the following landmark judgements?
Option 1: Basic structure doctrine
Option 2: Preamble part of the Constitution
Option 3: Entry of women to Sabarimala
Option 4: Land reforms in India
Correct Answer: Entry of women to Sabarimala
Solution : The correct option is the Entry of women to Sabarimala.
Justice Indu Malhotra penned a dissenting opinion in the landmark judgement related to the entry of women to the Sabarimala temple in Kerala, India. This judgment was delivered by the
Question : The following bar graph shows the number of accidents that happened in a city during the year 2021. B = difference in accidents of two-wheelers and buses. B is what percentage of the total number of accidents?
Option 1: 33%
Option 2: 15%
Option 3: 18%
Option 4: 10%
Correct Answer: 15%
Solution : B = difference in accidents of two-wheelers and buses = 330 – 180 = 150 Now, the total number of accidents = 220 + 180 + 200 + 330 + 70 = 1000 So, the required percentage = $\frac{150}{1000}\times 100$ = 15% Hence, the correct
Question : As of 2015, To become a Judge of the High Court one must be the practising advocate of the High Court for at least:
Option 1: 20 years
Option 2: 5 years
Option 3: 10 years
Option 4: 15 years
Correct Answer: 10 years
Solution : The correct answer is 10 years.
To be eligible to serve as a judge in the High Court, a person must be an Indian citizen, have held a judicial position for at least five years, or at the very least, have worked as
Question : As per 2011 census ,among the following State ,which state has the lowest child- sex ratio?
Option 1: Chhattisgarh
Option 2: Punjab
Option 3: Kerala
Option 4: Haryana
Correct Answer: Haryana
Solution : The correct answer is Haryana.
As per the 2011 census of India, Harayan has the least child sex ratio among all states. There are only 834 female child per thousand male children. Child sex ratio is a demographic metric which shows the number of female
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