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Question : Directions: A, B, C, D, E, and F are sitting in a row facing north. E and F are in the centre, and A and B are at the ends. C is sitting on the left of A, then who is sitting to the right of B?
Option 1: A
Option 2: D
Option 3: E
Option 4: F
Correct Answer: D
Solution : Given:
(I) E and F are sitting in the center and A and B are at the ends.
(II) C is sitting to the left of A. So, from this A has to be in the rightmost corner.
From the final sitting arrangement, D is
Question : Select the most appropriate option to substitute the underlined segment in the given sentence. If no substitution is required, select 'No substitution'.
Two stadiums in the city are set to reopened after a gap of 65 days.
Option 1: to be reopens
Option 2: No substitution
Option 3: to reopen
Option 4: for reopen
Correct Answer: to reopen
Solution : The correct choice is the third option.
"Reopen" is the correct form of the verb to use after "to" in this context. The base form "reopen" is used to indicate the future action of reopening the stadiums.
Therefore, the correct sentence should be: Two
Question : Someity is related to which of the following events?
Option 1: Tokyo Olympics 2020
Option 2: Winter Olympics 2022
Option 3: Commonwealth Games 2022
Option 4: Tokyo paralympic 2020
Correct Answer: Tokyo paralympic 2020
Solution : The correct answer is Tokyo Paralympic 2020.
The Tokyo 2020 Paralympics has a mascot named Someity. This name is a combination of the words 'so mighty' and the name of a famous cherry tree type called Somei-yoshino. The mascot represents the Paralympic athletes
Question : The heat treatment applied to milk before distribution to stabilize and to remove disease causing bacteria is called as :
Option 1: Pasteurisation
Option 2: Fermentation
Option 3: Coagulation
Option 4: Homogenisation
Correct Answer: Pasteurisation
Solution : The correct option is Pasteurisation.
The heat treatment performed to milk before to distribution to stabilise it and eradicate disease-causing microorganisms is referred to as "pasteurisation." Pasteurisation is a procedure named after the nineteenth-century French scientist Louis Pasteur. Pasteurization's major purpose is to heat milk
Question : Directions: In the following question a series is given, with one number missing. Choose the correct alternative from the given ones that will complete the series. 14, 27, 52, 101, 198, ?
Option 1: 381
Option 2: 395
Option 3: 391
Option 4: 394
Correct Answer: 391
Solution : Given: 14, 27, 52, 101, 198, ?
Multiply each number by 2 and subtract consecutive natural numbers from it to find the next term – (14 × 2) – 1 = 28 – 1 = 27; (27 × 2) – 2 = 54 – 2
Question : Directions: Select the option in which the number pair shares the same relationship as that shared by the following number pair. 15 : 210
Option 1: 16 : 224
Option 2: 14 : 196
Option 3: 22 : 462
Option 4: 13 : 239
Correct Answer: 22 : 462
Solution : Given: 15 : 210
Like, 15 : 210→15 × (15 – 1) = 15 × 14 = 210 Let's check the options – First option: 16 : 224→16 × (16 – 1) = 16 × 15 = 240 ≠ 224 Second option: 14
Question : Directions: In the following question, select the related word from the given alternatives. Ornithologist : Birds :: Archaeologist : ?
Option 1: Artifacts
Option 2: Archipelago
Option 3: Arbiter
Option 4: Aquatic
Correct Answer: Artifacts
Solution : Given: Ornithologist : Birds :: Archaeologist : ?
Like, an Ornithologist is a person who studies Birds. Similarly, an Archaeologist is a person who studies material remains made by humans called Artifacts.
Hence, the first option is correct.
Question : If $2x+\frac{9}{x}=9$, what is the minimum value of $x^2+\frac{1}{x^2}$?
Option 1: $\frac{95}{36}$
Option 2: $\frac{97}{36}$
Option 3: $\frac{86}{25}$
Option 4: $\frac{623}{27}$
Correct Answer: $\frac{97}{36}$
Solution : Given: $2x+\frac{9}{x}=9$ Multiplying both sides by $x$, we get, $⇒2x^2-9x+9=0$ $⇒(2x-3)(x-3)=0$ So, $x= \frac{3}{2},3$ Putting the values of $x$ in the equation, we get When $x=\frac{3}{2}$, $x^2+\frac{1}{x^2}=(\frac{3}{2})^2+\frac{1}{(\frac{3}{2})^2}=\frac{97}{36}=2.69$ When $x=3$, $x^2+\frac{1}{x^2}=3^2+\frac{1}{3^2}=\frac{82}{9}=9.11$ So, the minimum value is $\frac{97}{36}$. Hence, the correct answer is $\frac{97}{36}$.
Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? 44, 52, 54, 62, 64, 72, ?
Option 1: 96
Option 2: 79
Option 3: 74
Option 4: 85
Correct Answer: 74
Solution : Given: 44, 52, 54, 62, 64, 72, ?
The pattern is as follows – 44 + 8 = 52; 52 + 2 = 54; 54 + 8 = 62; 62 + 2 = 64; 64 + 8 = 72; 72 + 2 = 74
So,
Question : If $\left(x+\frac{1}{x}\right)=2 \sqrt{2}$ and $x>1$, what is the value of $\left(x^6-\frac{1}{x^6}\right)$?
Option 1: $140\sqrt{2}$
Option 2: $116\sqrt{2}$
Option 3: $144\sqrt{2}$
Option 4: $128\sqrt{2}$
Correct Answer: $140\sqrt{2}$
Solution : $\left(x+\frac{1}{x}\right)=2 \sqrt{2}$ Squaring both sides. ⇒ $ (x+\frac{1}{x})^2= 8$ ⇒ $(x-\frac{1}{x})^2 = (x+\frac{1}{x})^2-4$ ⇒ $(x-\frac{1}{x})^2=8-4=4$ ⇒ $(x-\frac{1}{x})= 2$ So, $(x^2-\frac{1}{x^2})=(x+\frac{1}{x})(x-\frac{1}{x})= 2\sqrt{2}×2=4\sqrt{2}$ Cubing both sides, we get ⇒ $x^6-\frac{1}{x^6}-3(x^2-\frac{1}{x^2})=64×(2\sqrt{2})$ ⇒ $x^6-\frac{1}{x^6}-3(4\sqrt{2})=128\sqrt{2}$ ⇒ $x^6-\frac{1}{x^6}=140\sqrt{2}$ Hence, the correct answer is $140\sqrt{2}$.
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