1 Million+
Questions
50k +
Active Users
24hrs max.
Answering Time
Question : If $(a^3+b^3+c^3-3 a b c)=405$ and $(a-b)^2+(b-c)^2+(c-a)^2=54$, find the value of $(a + b + c)$.
Option 1: 15
Option 2: 45
Option 3: 9
Option 4: 27
Correct Answer: 15
Solution : $(a-b)^2+(b-c)^2+(c-a)^2=54$ ⇒ $2(a^2+b^2+c^2-ab-bc-ac)=54$ ⇒ $(a^2+b^2+c^2-ab-bc-ac)=27$ Also, we know that $(a^3+b^3+c^3-3 a b c) = (a+b+c)(a^2+b^2+c^2-ab-bc-ac)$ Substituting the values, ⇒ $405 = 27×(a+b+c)$ ⇒ $a+b+c = 15$ Hence, the correct answer is 15.
Question : If the selling price of 318 articles is equal to the cost price of 212 articles, then what is the loss percentage?
Option 1: $20$
Option 2: $33\frac{1}{3}$
Option 3: $40$
Option 4: $33\frac{2}{3}$
Correct Answer: $33\frac{1}{3}$
Solution : Let the cost price of 1 article be Rs. $x$. Selling price of 1 article $=\frac{212}{318}x$ Loss percentage $=\frac{x-\frac{212}{318}x}{x} × 100 = 33\frac{1}{3}$% Hence, the correct answer is $33\frac{1}{3}$.
Question : The mean proportional of 6 and 54 is _______ more than 15.
Option 1: 3
Option 2: 6
Option 3: 4
Option 4: 5
Correct Answer: 3
Solution : Mean proportion of 6 and 54 = $\sqrt{6 × 54}=\sqrt{324}= 18$ $\therefore$ Difference = 18 – 15 = 3 Hence, the correct answer is 3.
Question : Which of the following is an example of sedimentary rocks?
Option 1: Granite
Option 2: Sandstone
Option 3: Marble
Option 4: Basalt
Correct Answer: Sandstone
Solution : The correct option is Sandstone
Sandstone is an example of a sedimentary rock formed from the accumulation of sand. Other sedimentary rocks include limestone (formed from organic remains), shale (formed from mud), and conglomerate (formed from rounded pebbles). Basalt and granite are igneous rocks, while
Question : Comprehension: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank. At most of the local dhabas and fast food joints, poor hygienic conditions (1)_____The (2)_____occurs due to poor quality packaging material or (3)_____storage conditions. Food cooked may not be washed or cleaned properly. It is low in (4)_____rich in oil content especially trans fats which make one (5)_____, lousy and dull. Select the most appropriate option to fill in the blank number 1.
Option 1: prevail
Option 2: sustain
Option 3: entail
Option 4: assail
Correct Answer: prevail
Solution : The first option is the correct answer.
Prevail means to be widespread or dominant in a particular area or at a particular time. In the context of the passage, poor hygienic conditions are likely to be widespread or dominant at local dhabas and fast food
Question : Directions: In the following question, some parts of the sentence have errors, and some are correct. Find out which part of the sentence has an error. The number of that part is the answer. If a sentence is error-free, your answer is "No Error".
Who do you think I met?
(1) Who
(2) No Error
(3) do you think
(4) I met?
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 2
Solution : The sentence "Who do you think I met?" is grammatically correct. It follows the standard structure of an interrogative sentence, where the question word "Who" is followed by the auxiliary verb "do," and then the subject "you" and the main verb "think," followed by the
Question : Find the Arc Elasticity of demand if the quantity demanded falls from 4600 to 4200 when the price of the item increases from Rs. 960 to Rs. 1000.
Option 1: - 2.23
Option 2: -2.09
Option 3: 2.23
Option 4: 2.09
Correct Answer: - 2.23
Solution : The correct option is -2.23.
Arc elasticity is the elasticity of one variable with respect to another between two given points. It is used when there is no general way to define the relationship between the two variables. Arc elasticity is also defined
Question : Sentences of a paragraph are given below in jumbled order. Arrange the sentences in the correct order to form a meaningful and coherent paragraph. A. And that something in her lifted her to the world number one position in tennis in 2005. B. But all this happened in almost no time. C. It took Maria just four years as a professional to reach the pinnacle. D. There is something disarming about Maria Sharapova.
Option 1: DABC
Option 2: BCDA
Option 3: CBAD
Option 4: ABCD
Correct Answer: DABC
Solution : The correct choice will be the first option.
D. There is something disarming about Maria Sharapova.
A. And that something in her lifted her to the world number one position in tennis in 2005.
B. But all this happened in almost no time.
C. It
Question : In the following question, out of the given four alternatives, select the alternative that best expresses the meaning of the Idiom/Phrase. Know the ropes.
Option 1: To break the rules
Option 2: To reveal a secret
Option 3: To understand the details
Option 4: To fight without any reason
Correct Answer: To understand the details
Solution : The correct option will be the third option.
The idiom know the ropes means to be familiar with or have a thorough understanding of the procedures, techniques, or details of a particular activity or situation.
Therefore, to understand the details accurately captures
Question : Select the INCORRECTLY spelt word from the given sentence.
Drunkeness, riot and brawling were the order, there, every night.
Option 1: Riot
Option 2: Drunkeness
Option 3: Order
Option 4: Brawling
Correct Answer: Drunkeness
Solution : The correct choice is the second option.
Explanation for each option:
"Riot" - This word is correctly spelt and means a violent public disturbance.
"Drunkeness" - This word is incorrectly spelled. The correct spelling is "Drunkenness".
"Order" - This word is correctly spelt and means
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
