1 Million+
Questions
50k +
Active Users
24hrs max.
Answering Time
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
Solution : The correct choice is the third option.
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 $27:23$.
Question : If a wheel has a diameter of 42 cm, then how far does the wheel go (in metres) in 12 revolutions? (Take $\pi=\frac{22}{7}$)
Option 1: 21.45
Option 2: 23.27
Option 3: 15.84
Option 4: 17.64
Correct Answer: 15.84
Solution : Use : C = $\pi$ × d, where, C is the Circumference of the circle, d is the diameter According to the question C = $\pi$ × d = $\frac{22}{7}$ × 42 = 132 cm $\therefore$ Total distance = Distance per revolution × Number of
Question : Who among the following Mauryan kings turned to Buddhism and its tenet of nonviolence after the Kalinga war?
Option 1: Chandragupta Maurya
Option 2: Bindusara
Option 3: Ashoka
Option 4: Dasharatha
Correct Answer: Ashoka
Solution : The correct answer is Ashoka.
The last significant ruler of India's Mauryan dynasty was Ashoka. Following his victorious conquest of the Kalinga, he turned to Buddhism, gave up violent conquest and embraced a strategy he called "conquer by dharma," realising the carnage of the
Question : Directions: Select the option that represents the letters that when sequentially placed from left to right in the blanks will complete the letter series. w_ll_g_we_ln_k_e_l_ gk
Option 1: enklgwkn
Option 2: enklgwln
Option 3: enklwgIn
Option 4: enlkgwkn
Correct Answer: enklgwln
Solution : Given: w_ll_g_we_ln_k_e_l_ gk
To fill the series, we have to divide the series – w_ll_g_ / we_ln_k / _e_l_gk Let's check each option – First option: enklgwkn; wellngk / wellngk / wekln
The Question containing Inaapropriate or Abusive Words
Question lacks the basic details making it difficult to answer
Topic Tagged to the Question are not relevant to Question
Question drives traffic to external sites for promotional or commercial purposes
The Question is not relevant to User
And never miss an important update
