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Question : 2nd October is observed as________.
Option 1: International Non-Violence Day
Option 2: World Social Justice Day
Option 3: World Wildlife Day
Option 4: International Education Day
Correct Answer: International Non-Violence Day
Solution : The correct answer is International Non-Violence Day.
October 2nd is indeed observed as the International Day of Non-Violence. This date is significant because it marks the birthday of Mahatma Gandhi, the leader of the Indian independence movement against British colonial rule and a
Question : The value of $[(0.87)^2+(0.13)^2+(0.87)×(0.26)]^{2013}$ is:
Option 1: 0
Option 2: 2013
Option 3: 1
Option 4: –1
Correct Answer: 1
Solution : Given: $[(0.87)^2+(0.13)^2+(0.87)×(0.26)]^{2013}$ = $[(0.87)^2+(0.13)^2+(0.87)×2×(0.13)]^{2013}$ = $(0.87+0.13)^{2\times 2013}$ = $(1)^{2\times 2013}$ = $1$ Hence, the correct answer is 1.
Question : Directions: Select the option that is related to the third term in the same way as the second term is related to the first term and the sixth term is related to the fifth term. 18 : 123 :: 15 : ? :: 19 : 130
Option 1: 114
Option 2: 112
Option 3: 102
Option 4: 120
Correct Answer: 102
Solution : Given: 18 : 123 :: 15 : ? :: 19 : 130
Like, 18 : 123→(18 × 7) – 3 = 126 – 3 = 123 19 : 130→(19 × 7) – 3 = 133 – 3 = 130 Similarly, follow the same pattern for
Question : A mask manufacturing company manufactured an ‘$x$’ number of masks in 2018. It increased its manufacturing capacity by 30% in 2019 and further increased its manufacturing by 15% in 2020. In 2021, due to the machinery breakdown, its manufacturing declined by 40%. What is the value of ‘X’ if it manufactured 179400 masks in 2021?
Option 1: 180000
Option 2: 230000
Option 3: 200000
Option 4: 210000
Correct Answer: 200000
Solution : Given: A mask manufacturing company manufactured an ‘$x$’ number of masks in 2018. It increased its manufacturing capacity by 30% in 2019 and further increased its manufacturing by 15% in 2020. Mask manufactured in 2019 = $x × \frac{130}{100}$ = $\frac{13x}{10}$ Mask manufactured in 2020
Question : Select the option that expresses the given sentence in direct speech. I said that when it stopped drizzling we would have to start digging again.
Option 1: I said, "When it stopped to drizzle we must start digging again."
Option 2: I said, "When it stops drizzling we must start digging again."
Option 3: I said, "When drizzle will stop then we will start digging again."
Option 4: I said, "When it stops to drizzle we will start digging again."
Correct Answer: I said, "When it stops drizzling we must start digging again."
Solution : The second option is correct.
Narration conversion:
Therefore, the correct sentence is: I
Question : If $xy = -6$ and $x^3+ y^3= 19$ ($x$ and $y$ are integers), then what is the value of $\frac{1}{x^{–1}}+\frac{1}{y^{–1}}$?
Option 1: –1
Option 2: –2
Option 4: 2
Solution : Given: $xy = -6$ and $x^3+ y^3= 19$ ($x$ and $y$ are integers) We know the algebraic identity, $(x+y)^3=x^3 + y^3+3xy(x+y)$. Substitute the given values in the above formula, ⇒ $(x+y)^3=19+3\times(-6)\times(x+y)$ ⇒ $(x+y)^3=19-18\times(x+y)$ Let $(x+y)=u$. ⇒ $u^3+18u–19=0$ ⇒ $u^3–u^2+u^2–u+19u–19=0$ ⇒ $u^2(u–1)+u(u–1)+19(u–1)=0$ ⇒ $(u–1)(u^2+u+19)=0$ ⇒ $u-1=0$
Question : Select the option that can be used as a one-word substitute for the underlined group of words. While I was travelling in Europe, I met a man who drew maps.
Option 1: Cartographer
Option 2: Geographer
Option 3: Arbitrator
Option 4: Anthropologist
Correct Answer: Cartographer
Solution : The correct choice is the first option.
A cartographer is an individual who engages in the practice or art of making maps. Therefore, "cartographer" is the appropriate one-word substitute for the underlined group of words.
Question : Which of the following is used in photography?
Option 1: Sodium bicarbonate
Option 2: Sodium thiosulphate
Option 3: Sodium hydroxide
Option 4: Sodium sulphate
Correct Answer: Sodium thiosulphate
Solution : The correct option is Sodium thiosulphate.
Sodium thiosulfate is used in photography as a fixing agent, especially in traditional film and darkroom processes. It is used to fix or stabilise the developed image on photographic paper by removing unexposed silver halide.
Question : Parts of the following sentence have been given as options. One of them may contain an error. Select the part that contains the error from the given options. If you don't find any errors, mark 'No error' as your answer.
Both of my parents are dependent on my salary of their living.
Option 1: are dependent on my
Option 2: Both of my parents
Option 3: salary of their living
Option 4: No error
Correct Answer: salary of their living
Solution : The correct choice is the third option.
Explanation: In the phrase "salary of their living" the error is with the use of "of" instead of "for". The correct preposition "for" should be used to indicate the purpose for which the salary
Question : Directions: Which of the following letter clusters should replace # and % so that the pattern and relationship followed between the letter-cluster pair on the left side of :: is the same as that on the right side of ::? # : CLQ :: NDK : %
Option 1: # = AJS, % = MAM
Option 2: # = AOO, % = PAM
Option 3: # = EIT, % = QBN
Option 4: # = DIS, % = PBN
Correct Answer: # = AOO, % = PAM
Solution : Given: # : CLQ :: NDK : %
Let's check the options – First option: # = AJS, % = MAM AJS : CLQ→A + 2 = C; J + 2 = L; S – 2 = Q NDK :
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