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Question : If a + b + c = 10 and a2 + b2 + c2 = 48, then the value of ab + bc + ca is _______.

Option 1: 25

Option 2: 26

Option 3: 24

Option 4: 18

Team Careers360 25th Jan, 2024

Correct Answer: 26


Solution : Given: a + b + c = 10 and a2 + b2 + c2 = 48
Using the formula: (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca
⇒ (10)

49 Views

Question : Comprehension:

Read the given passage and answer the questions that follow.

As the Sun inches closer to its peak activity in its solar cycle, an explosion has been picked up behind the northeastern limb of the star in our solar system. Solar observatories saw bits and pieces of the explosion, which remain obscured in view from Earth's orbit.

The explosion was spotted on 31 July at around 2309 UT and Earth-orbiting satellites registered a long-lasting C9.3-class solar flare. "The intensity is probably an underestimate because it was partially eclipsed by the edge of the sun. Nasa's Solar Dynamics Observatory (SDO) saw hot debris flying away from the blast site," space weather, which tracks the solar activity, reported.

While the explosion was powerful, experts have predicted that Earth is not in the line of fire from the Sun. Scientists are expected to get a view of the active region later this week as it comes to sight. Earth is not in the line of fire. The explosion is significant because it may herald an active region set to emerge over the sun's northeastern limb later this week. A new sunspot group could bring an end to weeks of relative quiet," Space Weather said in its report.
 

Select the most appropriate synonym of the given word from the passage.

Partially

Option 1: Supportively

Option 2: Partly

Option 3: Frankly

Option 4: Completely

Team Careers360 22nd Jan, 2024

Correct Answer: Partly


Solution : The correct choice is the second option.

Partially means something that is not complete. Partly means something that is completed to some degree but not completely, making it the appropriate synonym for "partially".

The meanings of the other options are as follows:

  • Supportively means
13 Views

Question : A man travelled a distance of 150 km in 18 hours. He travelled partly on foot at 5 km/hr and partly on bicycle at 10 km/hr. What is the distance travelled on a bicycle?

Option 1: 120 km

Option 2: 30 km

Option 3: 100 km

Option 4: 70 km

Team Careers360 25th Jan, 2024

Correct Answer: 120 km


Solution : Total distance = 150 km
Total time = 18 hours
Speed when travelled by foot = 5 km/hr
Speed when travelled by bicycle = 10 km/hr
Let the distance travelled by bicycle = $x$ km
Distance travelled by foot = $150-x$ km
Time travelled

77 Views

Question : Which union territory of India has a sea named after it?

Option 1: Puducherry

Option 2: Andaman and Nicobar Islands

Option 3: Dadra and Nagar Haveli

Option 4: Daman and Diu

Team Careers360 23rd Jan, 2024

Correct Answer: Andaman and Nicobar Islands


Solution : The correct answer is Andaman and Nicobar Islands.

Andaman and Nicobar Islands is a union territory of India that consists of more than 500 islands. Andaman and Nicobar Islands have a sea in their names, which is the Andaman Sea. The Andaman

7 Views

Question : The radius of a wheel moving on a road is $8\frac{3}{4}$ cm. How many rounds it will take to complete the 55 metres distance?

Option 1: 10

Option 2: 11

Option 3: 100

Option 4: 55

Team Careers360 20th Jan, 2024

Correct Answer: 100


Solution : Radius = $r$ = $8\frac{3}{4}$
Distance covered in 1 revolution = Circumference of wheel
Distance covered in 1 revolution = $2\pi r $
= $2 × \frac{22}{7} × \frac{35}{4} = 55$ cm
Required number of revolutions to cover 55 m = $\frac{55×100}{55}$
= 100
Hence,

10 Views

Question : Directions: In the following question, select the related number from the given alternatives.
9 : 738 :: 10 : ?

Option 1: 1200

Option 2: 1001

Option 3: 1100

Option 4: 1010

Team Careers360 21st Jan, 2024

Correct Answer: 1010


Solution : Given
9 : 738 :: 10 : ?

Like, 9 : 738→93 = 729 + 9 = 738
Similarly, 10 : ?→103 = 1000 + 10 = 1010

So, 1010 is related to 10. Hence, the fourth option is correct.

18 Views

Question : Comprehension:
Read the following passage and answer the questions that follow.
Unlike its Nordic neighbours, Sweden decided early on in the pandemic to forgo lockdown in the hope of achieving broad immunity to the coronavirus. While social distancing was promoted, the government allowed bars, restaurants, salons, gyms, and schools to stay open. Initially, Sweden saw death rates from COVID-19 that were similar to those of other European nations that had closed down their economies. But now, the Scandinavian nation's daily death toll per 1 million people is 8.71 compared to the United States' 4.59, according to the online publication 'Our World in Data'. Sweden's mortality rate is the highest in Europe. "I'd say it hasn't worked out so well," said Dr. George Rutherford, professor of epidemiology at the University of California, San Francisco. "I think the mortality in Norway is something like ten-fold lower. That's the real comparator." (Norway's daily death rate is less than 0.01 per 1 million people.)
"If you let this go, don't try very hard, or go about it in somewhat of a more restrained way than we have here, this is the price you pay," Rutherford said. "Maybe it didn't hurt businesses, but you have twice the mortality rate of the United States. All those people who died were part of families, and they were citizens and part of the fabric of Swedish society. And now they're gone because of a policy that hasn't worked out quite the way they thought it would."
Scientists estimate herd immunity for the coronavirus is reached when 70–90% of the population becomes immune to a virus, either by becoming infected or getting a protective vaccine.
Despite its relaxed response, Sweden is nowhere near hitting that goal. Tests on 1,118 Stockholm residents carried out by Sweden's Public Health Agency over one week in late April showed that only 7.3% had developed the antibodies needed to stave off the disease. "I think herd immunity is a long way off if we ever reach it," Björn Olsen, a professor of infectious medicine at Uppsala University, told Reuters after the release of the antibody findings.
Rutherford said we can keep doing non-pharmaceutical interventions like contact tracing, mask-wearing, and isolation quarantines, but also develop drugs that work better treating people who already have the infection so they don't require critical care in a hospital.

Question:
Which of the following statements is NOT true according to the passage?

Option 1: In the beginning, Sweden's death rate was similar to that of other European nations that had been locked down.

Option 2: The government of Norway allowed bars, restaurants, salons, gyms, and schools to stay open.

Option 3: The mortality rate in Sweden is twice the mortality rate in the United States.

Option 4: According to a scientific estimate, herd immunity for the Corona virus is reached when 70–90% of the population becomes immune to the virus.

Team Careers360 22nd Jan, 2024

Correct Answer: The government of Norway allowed bars, restaurants, salons, gyms, and schools to stay open.


Solution : The correct choice is the second option.

Explanation: The second statement is incorrect because the passage does not mention Norway's government allowing such establishments to remain open. Instead, it focuses on Sweden's

14 Views

Question : What do you call the fluid matrix filling in the cell?

Option 1: Ribosome

Option 2: Plasmid

Option 3: Cytoplasm

Option 4: Golgi bodies

Team Careers360 23rd Jan, 2024

Correct Answer: Cytoplasm


Solution : The correct answer is cytoplasm.

The jelly-like material that lies between the nucleus and the cell membrane is called the cytoplasm. It serves as a location for different metabolic reactions and houses organelles. The cytoplasm, a semi-fluid matrix, fills the volume of prokaryotic and eukaryotic

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