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Question : In ecology, the given equation shows the relationship between the size of an area and the number of species present in it. Accordingly, by which letter is the regression coefficient denoted?
log S = log C + Z log A
Option 1: S
Option 2: A
Option 3: Z
Option 4: C
Correct Answer: Z
Solution : The correct option is Z.
In the given equation representing the relationship between the size of an area (A) and the number of species present (S) in the context of ecology,
The regression coefficient is denoted
Question : Select the most appropriate meaning of the given idiom. True colours.
Option 1: Black and white.
Option 2: Light colours.
Option 3: Real character.
Option 4: Bright colours.
Correct Answer: Real character.
Solution : The correct choice is the third option.
The idiom true colours refer to someone's real or genuine character, intentions, or personality traits, especially when they are revealed or shown, often in contrast to how they initially presented themselves.
Black and white is also
Question :
Which of the following mammals lay eggs?
Option 1:
Bat
Option 2:
Whale
Option 3: Weasel
Option 4: Platypus
Correct Answer: Platypus
Solution : The correct option is Platypus.
Monotremes are animals that lay eggs instead of giving birth to live offspring. Platypuses and echidnas are two egg-laying animals. The platypus is a rare Australian animal. It features duck-like bills and webbed feet and is one of the few
Question : If $a + b + c = 6$ and $a^2+b^2+c^2=40$, then what is the value of $a^3+b^3+c^3-3abc$?
Option 1: 212
Option 2: 252
Option 3: 232
Option 4: 206
Correct Answer: 252
Solution : Given that $a + b + c = 6$ and $a^2+b^2+c^2=40$, $(a+b+c)^2 = a^2 + b^2 + c^2 + 2(ab+bc+ac)$. $⇒6^2 = 40 + 2(ab+bc+ac)$ $⇒ab+bc+ac = -2$ $a^3+b^3+c^3-3abc=(a+b+c)(a^2+b^2+c^2-ab-bc-ac)$ $⇒a^3+b^3+c^3-3abc=6 \times (40 +2)$ $⇒a^3+b^3+c^3-3abc=6 \times 42 $ $⇒a^3+b^3+c^3-3abc=252 $ Hence, the correct answer is 252.
Question : A secant PAB is drawn from an external point P to the circle with centre O, intersecting it at A and B. If OP = 17 cm, PA = 12 cm, and PB = 22.5 cm, then the radius of the circle is:
Option 1: $2 \sqrt{3} {~cm}$
Option 2: $\sqrt{19} {~cm}$
Option 3: $\sqrt{17} {~cm}$
Option 4: $3 \sqrt{2} {~cm}$
Correct Answer: $\sqrt{19} {~cm}$
Solution : Given: OP = 17 cm, PA=12 cm and PB = 22.5 cm We know, Two chords AB and CD when extended meet at point P, then PA × PB = PC × PD Let the radius be x. ⇒ PC = 17 – x
Question : Comprehension:
Read the given passage and answer the questions that follow.
New York City is on 'high alert' after reporting 100 cases of a rare inflammatory disease apparently tied to COVID-19 in children. The city recently began reporting rising cases of paediatric multi-system inflammatory syndrome, an illness that officials say is similar to toxic shock or Kawasaki disease, with symptoms including a fever and abdominal pain and which 'appears to be linked to an immune response to COVID-19,' The New York Times reports.
City Mayor Bill de Blasio, in a press briefing on Thursday, said, "We are now on high alert in addressing the syndrome after the number of confirmed cases of paediatric multi-system inflammatory syndrome in the city has reached 100." "Among those cases, 55 children have tested positive for COVID-19 or the antibodies", de Blasio said, "and one child has died." Two other children have also died from the illness in New York State, according to the Times. De Blasio had reported 82 cases of the syndrome in the city.
These developments continue to be 'really troubling' after it was previously thought that "children seemed to have very little effect from this disease," de Blasio said. He urged parents to call their doctor immediately if a child had a persistent fever, a rash, abdominal pain, vomiting, and especially a combination of these symptoms.
Question:
The word 'paediatric' in the passage refers to:
Option 1: medical care of adults
Option 2: stomach diseases
Option 3: medical care of children
Option 4: research in immunity
Correct Answer: medical care of children
The term paediatric is an adjective related to the branch of medicine that deals with the care of infants, children, and adolescents. In the context of the passage, paediatric multi-system inflammatory syndrome refers to
Question : Directions: Which of the following letter clusters will replace the question mark (?) in the given series? JOD, FKZ, BGV, ?
Option 1: WDR
Option 2: YCR
Option 3: XCS
Option 4: XCR
Correct Answer: XCR
Solution : Given: JOD, FKZ, BGV, ?
Subtract 4 from the letters of the previous term to obtain the next term in the series – JOD→J – 4 = F; O – 4 = K; D – 4 = Z FKZ→F – 4 = B; K –
In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
Exercise is the (1)_______ of muscles and limbs which is done to (2)_____ a specific outcome. The chief aim of doing exercise is usually (3)_____ fitness. At the end of our (4)____ day, we prefer to (5)____ in leisure activities rather than a workout.
Select the most appropriate option to fill in the blank no. 3.
Option 1: magnifying
Option 2: amplifying
Option 3: intensifying
Option 4: enhancing
Correct Answer: enhancing
Solution : The correct choice is the fourth option.
In the context of the sentence provided, enhancing means to improve or increase the quality or condition of something. When used in the context of fitness and exercise, enhancing signifies the goal or purpose of improving one's
Question : Select the INCORRECTLY spelt word.
Option 1: Membrane
Option 2: Solvant
Option 3: Highlight
Option 4: Exuberant
Correct Answer: Solvant
Solution : The correct choice is the second option.
Explanation:
The correct spelling of the word for a substance that dissolves a solute is solvent, with an "e" after the "v". The term refers to a substance, typically a liquid, that has the capability to
Question : If $a: b=3: 7$, then $(2 a+3 b):(3 a+2 b)$ is:
Option 1: $27:23$
Option 2: $23:29$
Option 3: $21:29$
Option 4: $21:23$
Correct Answer: $27:23$
Solution : Given $a:b=3:7$ Let $a=3k$ and $b=7k$ for some constant $k$. Now, $(2 a+3 b):(3 a+2 b)$ $=\{2(3k)+3(7k)\}:\{3(3k)+2(7k)\}$ $=(6k+21k):(9k+14k)$ $=27k:23k$ $=27:23$ Hence, the correct answer is $27:23$.
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