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Question : What is the value of $\frac{\frac{1}{3}+\frac{1}{3}\times\frac{1}{3}}{\frac{1}{3}\times\frac{1}{3}+\frac{1}{3}}$?
Option 1: 1
Option 2: 3
Option 3: $\frac{1}{3}$
Option 4: $\frac{1}{2}$
Correct Answer: 1
Solution : Given: $\frac{\frac{1}{3}+\frac{1}{3}\times\frac{1}{3}}{\frac{1}{3}\times\frac{1}{3}+\frac{1}{3}}$ $= \frac{\frac{1}{3}+\frac{1}{9}}{\frac{1}{9}+\frac{1}{3}}$ $= \frac{\frac{4}{9}}{\frac{4}{9}}$ $= 1$ Hence, the correct answer is 1.
Question : Name the clan Buddha belonged to
Option 1: Gnathrika
Option 2: Maurya
Option 3: Shakya
Option 4: Kuru
Correct Answer: Shakya
Solution : The correct option is Shakya.
Buddha was born to Shakya clan royal parents in Lumbini, in what is now Nepal. In his early years, he was called Siddhartha Gautama. His mother was Queen Maya, and his father was King Suddhodana, the Shakya clan's ruler.
Question : Direction: In the given question, select the related letter from the given alternatives.
BED : GJI :: LON : ?
Option 1: QTS
Option 2: PTS
Option 3: QST
Option 4: KNH
Correct Answer: QTS
Solution : Given:
In the first pair →
B + 5 = G; E + 5 = J; D + 5 = I
Similarly, in the second pair →
L + 5 = Q; O + 5 = T; N
Question : Determine the value of $x$, if $x = \frac{(943+864)^2-(943-864)^2}{(1886\times1728)}$.
Option 2: 4
Option 3: 79
Option 4: 1789
Solution : Given: $x = \frac{(943+864)^2-(943-864)^2}{(1886\times1728)}$ This can be simplified using the identity $(a+b)^2 - (a-b)^2 = 4ab$, where $a = 943$ and $b = 864$. ⇒ $x = \frac{4×943×864}{1886\times1728}$ ⇒ $x = \frac{2×943×2×864}{1886\times1728}$ ⇒ $x=1$ Hence, the correct answer is $1$.
Question : Directions: In each of the following questions, choose the correct alternative that will improve the part of the sentence given in quotes.
Both Santhosh and Rohit have 167 English papers due "in" Tuesday.
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 3
Solution : The correct choice is the third option.
Explanation: There is an error in the use of the preposition in the sentence. The preposition in should be replaced with on to convey the intended meaning that both of them have English papers to submit
Question : Which of the following objectives of the“National Action for Mechanised Sanitation Ecosystem” (NAMASTE) scheme launched by the Centre in August 2022 is correct?
I. Zero fatalities in sanitation work in India
II. Sanitation workers are collectivized into Self-help groups and are empowered to run sanitation enterprises
Option 1: Both I and II
Option 2: Only II
Option 3: Only I
Option 4: Neither I nor II
Correct Answer: Both I and II
Solution : The correct answer is Both I and II.
NAMASTE wants to accomplish the following results:
Question : Pegging up of currency means, fixing the value of a currency
Option 1: at a constant level
Option 2: at a lower level
Option 3: at a higher level
Option 4: leaving it to market forces
Correct Answer: at a constant level
Solution : The correct option is at a constant level
Pegging is the practice of tying one currency to the currency of another in order to regulate a nation's exchange rate. A fixed or pegged rate is one that the government's (central bank's) institution
Question : Which of the following statements are correct about Directive Principles of State Policy of the Indian Constitution? A) They are negative in nature. B) They have moral and political sanctions. C) They promote the welfare of the rich. D) They are positive in nature.
Option 1: C and D
Option 2: A and B
Option 3: A and C
Option 4: B and D
Correct Answer: B and D
Solution : The correct option is B and D.
Directive Principles of State Policy offer moral and political guidance to government policies. Although not legally enforceable, they carry moral and political weight. These principles are positive, directing the state to pursue social and economic
Question : A man takes 6 hours to go to a place and come back by walking both ways. He could have saved 2 hours by riding both ways. The distance covered in the whole journey is 20 miles. What is the average speed for the whole journey if he goes by walking and comes back by riding?
Option 1: 8 miles/hr
Option 2: 5 miles/hr
Option 3: 6 miles/hr
Option 4: 4 miles/hr
Correct Answer: 4 miles/hr
Solution : We know, Average speed = $\frac{\text{Total distance}}{\text{Total time}}$ Time has taken on walking both ways at constant speed = 6 hours Time has taken on walking one way at constant speed = $\frac{6}{2}$ = 3 hours He gained 2 hours by riding both ways.
Question : Directions: In a certain code language, SHOE is written as 47. How will HELMET be written in that language?
Option 1: 63
Option 2: 83
Option 3: 68
Option 4: 72
Correct Answer: 63
Solution : Given: SHOE is written as 47.
Add the positional values of the letters of SHOE to obtain the required code. SHOE; S→19; H→8; O→15; E→5; 19 + 8 + 15 + 5 = 47 Thus, SHOE is coded as 47. Similarly, follow the same pattern
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