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Question : If ${k}+\frac{1}{{k}}=3$, then what is the value of ${k}^2+\frac{1}{{k}^2}$?
Option 1: 9
Option 2: 6
Option 3: 7
Option 4: 5
Correct Answer: 7
Solution : ${k}+\frac{1}{{k}}=3$ Squaring on both sides, ⇒ $({k}+\frac{1}{k})^2=3^2$ ⇒ ${k^2}+\frac{1}{{k}^2}+2=9$ ⇒ ${k^2}+\frac{1}{{k}^2}=7$ Hence, the correct answer is 7.
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 - Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (13, 18, 21); (11, 25, 8)
Option 1: (6, 10, 12)
Option 2: (4, 12, 24)
Option 3: (8, 16, 23)
Option 4: (14, 33, 9)
Correct Answer: (14, 33, 9)
Solution : Given: (13, 18, 21); (11, 25, 8)
Like, (13, 18, 21)→(18 + 21) ÷ 3 = 39 ÷ 3 = 13 (11, 25, 8)→(25 + 8) ÷ 3 = 33 ÷ 3 = 11
Let's check the options – First option: (6, 10,
Question : What is the name of the scheme for Employees State Insurance Corporation (ESIC) beneficiaries launched in the Delhi region?
Option 1: Sakushal Hamesha
Option 2: Kahin bhi kabhi bhi
Option 3: Jeevan Arogya
Option 4: Shramik Kalyan
Correct Answer: Kahin bhi kabhi bhi
Solution : The correct option is Kahin bhi kabhi bhi.
It's a medical scheme for Employees State Insurance Corporation (ESIC) employees. The scheme is for the insured person and their family members. Through this, they took advantage of dispensaries as and when required
Question : Select the most appropriate ANTONYM of the underlined word. Sukhen always seeks to capitalise on opportunities.
Option 1: dismantle
Option 2: destroy
Option 3: forfeit
Option 4: seize
Correct Answer: forfeit
Solution : The correct choice will be the third option.
The most appropriate antonym for the underlined word capitalise in the given sentence is forfeit.
Capitalise in this context means to take advantage of or make the most of opportunities for personal gain or benefit. Forfeit, on
Question : Comprehension: In the following passage, some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each blank. I had seen the magic shop from afar several times. I had passed (1)______ once or twice, a shop window of (2)______ little objects, magic balls, magic hens, wonderful cones, magic dolls, and all those (3)______ of things. But never had I thought of going in (4)______ one day. Gip hauled me by my finger—right (5)______ to the window. Question: Select the most appropriate option to fill in the blank no. 5.
Option 1: up
Option 2: in
Option 3: out
Option 4: down
Correct Answer: up
Solution : The first option is the correct choice.
The preposition up is appropriate because it conveys the idea of being hauled closer to the window. Right up to the window indicates a close and direct movement towards the window.
Therefore, the right word to fill in
Question : Select the appropriate SYNONYM for the underlined word.
Go back to your image description.
Option 1: Definition
Option 2: Deception
Option 3: Plan
Option 4: Function
Correct Answer: Definition
Solution : The correct choice is the first option.
Explanation:
Definition is a synonym that aligns with the idea of providing clarity or details about something. The word definition denotes the act of explaining or describing the nature, meaning, or specific characteristics of a subject matter.
Question : Determine the correct answer for $(\frac{1}{8}+\frac{9}{4}-3)$:
Option 1: $\frac{2}{8}$
Option 2: $\frac{7}{8}$
Option 3: $-\frac{5}{8}$
Option 4: $-\frac{3}{8}$
Correct Answer: $-\frac{5}{8}$
Solution : $\frac{1}{8}+\frac{9}{4}-3=\frac{1+18-24}{8}=-\frac{5}{8}$ Hence, the correct answer is $-\frac{5}{8}$.
Question : The following sentence has been split into four segments. Identify the segment that contains a grammatical error.
Niyati will reached / the conference / venue / by now.
Option 1: venue
Option 2: Niyati will reached
Option 3: by now
Option 4: the conference
Correct Answer: Niyati will reached
Solution : The correct choice is the second option.
The grammatical error in the original segment "Niyati will reached" is due to the incorrect form of the verb "reached". In English, when using "will" to indicate future actions that will stand as complete before
Question : Directions: In the following question, some parts of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No Error".
This container is full with water (1) / so I can't carry it for a (2) / long distance at one go. (3) / No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (1)
Solution : The error lies in the first part of the sentence.
The preposition "with" should be replaced with "of" to convey the intended meaning that the container contains water to be carried. "Full of" is used to describe something that is filled with a substance. Here,
Question : Directions: A + B means A is the wife of B. A – B means A is the father of B. A × B means A is the son of B. A ÷ B means A is the brother of B. If P + K – R + J ÷ M × T + Z, then which of the following statements is correct?
Option 1: R is the daughter of T
Option 2: P is the mother of J
Option 3: Z is the father of J
Option 4: K is the father of M
Correct Answer: Z is the father of J
Solution : Given: A + B⇒A is the wife of B. A – B⇒A is the father of B. A × B⇒A is the son of B. A ÷ B⇒A is the brother of B. P + K – R + J
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