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Question : If $pq(p+q)=1$, then the value of $\frac{1}{p^{3}q^{3}}-p^{3}-q^{3}$ is equal to:
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 3
Solution : Given: $pq(p+q)=1$ ⇒ $(p+q)=\frac{1}{pq}$ Cubing both sides, ⇒ $p^3+q^3+3pq(p+q)=\frac{1}{p^3q^3}$ Thus, $\frac{1}{p^3q^3}–p^3–q^3= 3pq(p+q)$ Putting the value of $(p+q)=\frac{1}{pq}$ $= \frac{3}{pq}(pq)$ $=3$ $\therefore\frac{1}{p^3q^3}–p^3–q^3=3$ Hence, the correct answer is 3.
Question : Select the most appropriate meaning of the underlined idiom in the given sentence. Being an ardent professional, the lawyer always kept his clients at an arm’s length.
Option 1: Away from each other.
Option 2: At a distance.
Option 3: Under wraps.
Option 4: Alert and prepared.
Correct Answer: At a distance.
Solution : The correct choice is the second option.
In the context of the sentence "Being an ardent professional, the lawyer always kept his clients at an arm’s length which means to maintain a professional distance or detachment from some person.
The meanings of
Question : Who will be India’s Chief G20 Coordinator from May 2022?
Option 1: Harsh Vardhan Shringla
Option 2: Rajiv Gauba
Option 3: Shashi Tharoor
Option 4: Ajit Doval
Correct Answer: Harsh Vardhan Shringla
Solution : The correct answer is Harsh Vardhan Shringla.
India's chief coordinator for the G20 Presidency in 2023 was Harsh Vardhan Shringla, born in 1962. In the past, he has held positions as India's High Commissioner to Bangladesh, Ambassador to Thailand and Foreign Secretary
Question : Directions: In the following question, select the missing number from the given responses.
Option 1: 22
Option 2: 24
Option 3: 25
Option 4: 28
Correct Answer: 24
Solution : For each figure, multiply and add the numbers in the top right and bottom left corners to get the top left and bottom right numbers respectively. Figure one: 4 × 7 = 28; 4 + 7 = 11 Figure two: 5 × 5 = 25;
Question : Rajaraja I and Rajendra I belonged to the ____________ dynasty.
Option 1: Chola
Option 2: Pallava
Option 3: Pandya
Option 4: Chalukya
Correct Answer: Chola
Solution : The correct answer is Chola.
Rajendra Chola I, also known as Gangaikonda Chola or the Bringer of the Ganges, was a formidable Chola Emperor who reigned from 1014 to 1044 CE. In 1014 CE, he ascended to the throne, succeeding his father, Rajaraja I.
Question : Directions: In the following question, you have to identify the correct response from the given premises stated according to the symbols. If + means subtraction, ÷ means addition, < means multiplication, and > means division, then find the value of the given statement. 9 ÷ 7 < 8 > (4 > 2) + 5 = ?
Option 1: 32
Option 2: 11
Option 3: 18
Option 4: 30
Correct Answer: 32
Solution : Given: 9 ÷ 7 < 8 > (4 > 2) + 5 = ?
After replacing the symbols in the equation with the assigned mathematical signs, the equation becomes – = 9 + 7 × 8 ÷ (4 ÷ 2) – 5 = 9 +
Question : If $a^2+b^2+1=2 a$, then the value of $a^4+b^7$ is:
Option 2: 0
Option 3: 2
Correct Answer: 1
Solution : Given: $a^2+b^2+1=2 a$ ⇒ $a^2+b^2+1-2a=0$ ⇒ $a^2+1-2a+b^2=0$ ⇒ $(a-1)^2+b^2=0$ If the sum of the squares of two numbers is zero then both the numbers are zero. So, $(a-1)=0$ and $b=0$ $\therefore a=1,b=0$ Putting the values, we get $a^4+b^7=1+0=1$ Hence, the correct answer is 1.
Question : Rate of interest is determined by
Option 1: The rate of return on the capital invested
Option 2: Central Government
Option 3: Liquidity preference
Option 4: Commercial Banks
Correct Answer: Liquidity preference
Solution : Correct Answer is Liquidity preference
In a free market where supply and demand are in flux, interest rates are set. The amount of money available depends on how willing consumers, businesses, and governments are to save. Some of these interest rates in India are
Question : Directions: Select the option that is related to the fifth term in the same way as the second term is related to the first term and the fourth term is related to the third term. TRA : FNW :: MNG : LJP :: FOK : ?
Option 1: PLJ
Option 2: PKJ
Option 3: PLI
Option 4: PKI
Correct Answer: PKI
Solution : Given: TRA : FNW :: MNG : LJP :: FOK : ?
Follow the pattern to obtain the required term – Thus, TRA is coded as FNW. And, MNG : LJP – Thus, MNG is coded as LJP. Similarly, follow the same pattern for FOK
Question : Select the most appropriate option to fill in the blank.
And to think after all these years you still have the __________to say such things to me!
Option 1: tangential
Option 2: brightness
Option 3: arrogance
Option 4: fitness
Correct Answer: arrogance
Solution : The correct choice is the third option.
Explanation: The sentence structure suggests that the missing word should be a noun that complements the verb "have". The word arrogance fits this context, as it refers to an attitude of superiority or self-importance, often manifested in
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