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Question : The value of $\frac{1}{\sqrt{17+12 \sqrt{2}}}$ is closest to _____.
Option 1: 1.4
Option 2: 1.2
Option 3: 0.14
Option 4: 0.17
Correct Answer: 0.17
Solution : Given expression, $\frac{1}{\sqrt{17+12 \sqrt{2}}}$ $=\frac{1}{\sqrt{{3^2}+(2\sqrt2)^2+2\times3\times2\sqrt2}}$ $=\frac{1}{\sqrt{(3+2\sqrt2)^2}}$ $=\frac{1}{3+2\sqrt2}$ $=\frac{1}{3+2\sqrt2}\times\frac{3-2\sqrt2}{3-2\sqrt2}$ $=\frac{3-2\sqrt2}{3^2-(2\sqrt2)^2}$ [As $a^2-b^2=(a-b)(a+b)$] $=\frac{3-2\sqrt2}{9-8}$ $=3-2\sqrt2$ $=3-2\times1.414$ = 3 – 2.828 = 0.172 Hence, the correct answer is 0.17.
Question : What is the least value that must be assigned to * so that the number 451*603 is exactly divisible by 9?
Option 1: 7
Option 2: 8
Option 3: 5
Option 4: 9
Correct Answer: 8
Solution : If the sum of the digits of the number is divisible by 9, then the number is divisible by 9. Given: The number 451*603 is divisible by 9. Let the unknown value be $x$. Therefore, Sum of the digits = $\frac{(4 + 5 + 1
Question : In the following question, out of the given four alternatives, select the alternative which best expresses the meaning of the Idiom/Phrase. Get into hot water
Option 1: To get a costly gift
Option 2: To get into trouble
Option 3: To reach nowhere
Option 4: A private end to serve
Correct Answer: To get into trouble
Solution : The second option is the correct choice.
The idiom “to get into hot water” means to land into difficulty, to be in danger, or to get troubled.
Example: If you don’t finish your homework, you will get into hot water.
Therefore, the
Question : What is the least value of x + y, if the 10-digit number 780x533y24 is divisible by 88?
Option 1: 4
Option 2: 3
Option 3: 1
Option 4: 2
Correct Answer: 2
Solution : Given: A 10-digit number 780x533y24 is divisible by 88. Then, it must be divisible by 11 and 8. According to the divisibility rules, $\mathrm{y}24$ must be divisible by 8. $(7+0+5+3+2)–(8+x+3+y+4)=0$ or multiple of 11. ⇒ $2–(x+y)=0$ or multiple of 11. (It can not be a
Question : On which day was it announced that the Khel Ratna award would be declared as the Major Dhyan Chand Khel Ratna award?
Option 1: 29 August 2020
Option 2: 6 August 2021
Option 3: 29 August 2021
Option 4: 6 August 2020
Correct Answer: 6 August 2021
Solution : The correct option is 6 August 2021.
The Indian government announced on August 6, 2021, that the Rajiv Gandhi Khel Ratna Award, the highest sporting honour in India, would be renamed the Major Dhyan Chand Khel Ratna Award. This announcement was made
Question : Direction: Arrange the following words according to the English dictionary.
1. Fearsome
2. Fealty
3. Feasible
4. Feature
5. Feather
Option 1: 2, 4, 1, 3, 5
Option 2: 2, 3, 1, 4, 5
Option 3: 2, 5, 3, 1, 4
Option 4: 2, 1, 3, 5, 4
Correct Answer: 2, 1, 3, 5, 4
Solution : Given:
Start from Fealty because l comes before r
Fealty
Now, write Fearsome because r comes before s
Fearsome
Now, write Feasible because s comes before
Question : When a freely falling object eventually stops on reaching the ground __________.
Option 1: Its potential energy decreases.
Option 2: Its kinetic energy increases.
Option 3: Its potential energy decreases, and its kinetic energy increases.
Option 4: None of the options is correct.
Correct Answer: Its potential energy decreases, and its kinetic energy increases.
Solution : The correct answer is its potential energy decreases and its kinetic energy increases.
As an object falls freely towards the ground, its potential energy decreases while its kinetic energy increases. Upon contact with the ground, the
Question : 'Neo-Malthusian Theory' is associated with which of the following?
Option 1: Employment
Option 2: Poverty
Option 3: Resource scarcity
Option 4: Income
Correct Answer: Resource scarcity
Solution : The correct answer is Resource scarcity.
The Neo-Malthusian idea is related to a scarcity of resources. Neo-Malthusians think that overpopulation and excessive consumption will result in natural resource depletion and environmental damage. It might result in a variety of issues, including food scarcity, shortage
Question : Select the most appropriate option that can substitute the underlined segment in the given sentence.
Unless we co-operate and work together, we cannot succeed.
Option 1: pull together
Option 2: pull up
Option 3: pull down
Option 4: pull through
Correct Answer: pull together
Solution : The first option is the correct answer.
Pull together is an idiomatic expression that means to cooperate and work together harmoniously towards a common goal. It conveys the idea of individuals coming together and working collectively, which aligns with the meaning of cooperate and
Question : Directions: In the following question, select the one that is different from the other three alternatives.
Option 1: 80 – 9
Option 2: 64 – 8
Option 3: 36 – 6
Option 4: 49 – 7
Correct Answer: 80 – 9
Solution : Let's check the options – First option: 80 – 9; 92 = 81 ≠ 80 Second option: 64 – 8; 82 = 64 Third option: 36 – 6; 62 = 36 Fourth option: 49 – 7; 72 = 49
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