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Question : If $p+q=6$ and $pq=4$, then what is the value of $3(p^3+q^3)$?
Option 1: 512
Option 2: 144
Option 3: 288
Option 4: 432
Correct Answer: 432
Solution : Given, $p+q=6$ and $pq=4$ Cubing both sides, we get ⇒ $p^3+q^3+3pq(p+q)=216$ Substituting the values, we get ⇒ $p^3+q^3+3\times4(6)=216$ ⇒ $p^3+q^3=144$ ⇒ $3(p^3+q^3)=432$ Hence, the correct answer is 432.
Question : Directions: Arrange the following vehicles in a logical and meaningful order. 1. Car 2. Train 3. Cycle 4. Truck 5. Auto-rickshaw
Option 1: 3, 1, 5, 4, 2
Option 2: 5, 1, 3, 2, 4
Option 3: 3, 4, 5, 2, 1
Option 4: 3, 5, 1, 4, 2
Correct Answer: 3, 5, 1, 4, 2
Solution : Given: 1. Car 2. Train 3. Cycle 4. Truck 5. Auto-rickshaw
Based on the number of wheels, the given vehicles in the increasing order can be arranged as follows – Cycle→Auto-rickshaw→Car→Truck→Train
So, the order is 3, 5, 1, 4, 2. Hence,
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. BCD : UFZ :: MNO : ?
Option 1: FQK
Option 2: EPJ
Option 3: FRL
Option 4: EQL
Correct Answer: FQK
Solution : Given: BCD : UFZ :: MNO : ?
Add 19 to the first letter, 3 to the second letter, and 22 to the third letter of the given letter cluster to obtain the required letter cluster. B + 19 = U; C + 3 =
Question : Which among the following measures the same quantity as that is measured by the SI unit "Pascal"?
Option 1: Watt
Option 2: Torr
Option 3: Newton
Option 4: Joule
Correct Answer: Torr
Solution : The correct option is torr.
The torr, a unit of pressure, measures the same quantity as the SI unit "Pascal" (Pa). One torr is equal to 1/760th of standard atmospheric pressure. Both units quantify pressure, with 1 torr approximately equal to 133.322 pascals. They
Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? 357, 372, ?, 447, 507
Option 1: 407
Option 2: 417
Option 3: 402
Option 4: 397
Correct Answer: 402
Solution : Given: 357, 372, ?, 447, 507
The pattern is as follows –
So, 402 is the missing number of the series. Hence, the third option is correct.
Question : Directions: In the following question, some parts of the sentence may have some 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".
The clerk was (1) / not intimidated by (2) / his boss's bullying (3) / No error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (4)
Solution : The correct choice is the fourth option.
The sentence conveys that the clerk was not intimidated, (filled with fear) by his boss's bullying, and the sentence is correct as per passive voice.
Question : Select the INCORRECTLY spelt word.
Option 1: Mismatche
Option 2: Securities
Option 3: Essentially
Option 4: Fiscal
Correct Answer: Mismatche
Solution : The correct choice is the first option.
The word "mismatche" is incorrectly spelled, which contains an extra-letter "e". Mismatch is the correct spelling, and it means a faulty or unsuitable match.
The other words are correctly spelt and their meanings are as follows:
Question : Growth with stability and progressive achievement of self-reliance was the objective of the __________ Five-Year Plan.
Option 1: Fifth
Option 2: Third
Option 3: Fourth
Option 4: Second
Correct Answer: Fourth
Solution : The correct option is Fourth.
The Fourth Five-Year Plan (1969–1974) of India emphasised balanced economic growth, industrial development, self-reliance, and social welfare. Despite challenges like the Indo-Pak War of 1971, it succeeded in areas like agriculture, power generation, and industry. This plan laid the foundation
Question : Select the most appropriate synonym of the underlined word. Sudha Murthy dealt with complex psychological issues in her stories in a lucid manner.
Option 1: Poignant
Option 2: Comprehensible
Option 3: Implicit
Option 4: Exquisite
Correct Answer: Comprehensible
Solution : The correct option is the second option.
In the given context, when it's mentioned that Sudha Murthy dealt with complex psychological issues in a lucid manner, it means she handled these intricate issues in a way that was easily understood and clear to the
Question : The technique of collecting information about an object from a distance without making physical contact with it is:
Option 1: remote sensing
Option 2: remote control
Option 3: remote accessing
Option 4: space shuttle
Correct Answer: remote sensing
Solution : The correct option is remote sensing.
"Remote sensing" is a method for gathering data about an object at a distance without coming into contact with it. This method frequently involves gathering information on the target object or area using a variety of technologies, including
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