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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
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)
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
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:
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
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
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
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
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
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,
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
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.
Question : Directions: Which figure from the given options would replace the question mark (?) if the following figure series were to be continued?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : According to the given figure series, the pattern is as follows –
Hence, the third option is correct.
In the following passage, some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each blank.
Swarms of the desert locust, which invaded India via Pakistan in April, have made (1)_____ way to at least five states, (2)____ a trail of destruction in their (3)_____. Desert locusts move in large groups, (4)_____ swarms, and can eat crops up (5)_____ their own weight every day. When millions of (6)____ descend on a crop, they destroy (7)_____. The desert locust is considered the (8)_____ destructive migratory pest in the world (9)_____ a single swarm covering one square kilometre can (10)____ up to 80 million locusts. As per eyewitnesses, the swarm which entered India from Pakistan was about two to three kilometres long.
Question:
Select the most appropriate option for blank number 8.
Option 1: much
Option 2: as
Option 3: most
Option 4: more
Correct Answer: most
Solution : The correct choice is the third option.
The word most is fitting in this context, as it indicates that the desert locust is regarded as the top or highest level of destructive migratory pests. It emphasises the severity of the destructiveness associated with the
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.
Correct Answer: The government of Norway allowed bars, restaurants, salons, gyms, and schools to stay open.
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
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
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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