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Question : At room temperature and atmospheric pressure, ______ has a density of 1.87 kg/m3, which is 1.5 times heavier than air and exists as a liquid below the critical temperature of 31°C.
Option 1: carbon dioxide
Option 2: nitrogen
Option 3: hydrogen
Option 4: lithium
Correct Answer: carbon dioxide
Solution : The correct option is carbon dioxide.
At room temperature and atmospheric pressure, carbon dioxide has a density of about 1.87 kg/m³, making it approximately 1.5 times heavier than air. It exists as a gas at room temperature but can become a liquid below
Question : What is the name of the 1,3-isomer (or meta-isomer) of benzenediol with the chemical formula C6H4(OH)2?
Option 1: m-Cresol
Option 2: Resorcinol
Option 3: Catechol
Option 4: Glycerol
Correct Answer: Resorcinol
Solution : The correct option is resorcinol.
The 1,3-isomer of benzenediol, also known as the meta-isomer, with the chemical formula C6H4(OH)2, is called resorcinol. It is a white crystalline solid that is soluble in water, alcohol, and ether. Resorcinol is
Question : Directions: In the following number pairs, the second number is obtained by applying certain mathematical operations to the first number. Select the option in which the numbers are related in the same way as the numbers of the following pairs. (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.) (16, 99); (13, 81)
Option 1: (9, 57)
Option 2: (8, 42)
Option 3: (11, 74)
Option 4: (17, 115)
Correct Answer: (9, 57)
Solution : Given: (16, 99); (13, 81)
Here, (16, 99)→(16 × 7) – (16 – 3) = 112 – 13 = 99 (13, 81)→(13 × 7) – (13 – 3) = 91 – 10 = 81
Let's check the options – First option: (9, 57)→(9 ×
Question : Pankaj Advani is associated with which sports?
Option 1: Table Tennis
Option 2: Chess
Option 3: Golf
Option 4: Billiards
Correct Answer: Billiards
Solution : The correct option is Billiards.
Pankaj Advani is associated with the sport of Billiards. Billiards is a cue sport that includes various games played with balls on a rectangular table. He has achieved numerous accomplishments, including winning multiple World Professional Billiards Championships, and World
Question : If $\theta$ is a positive acute angle and $3(\sec^{2}\theta+\tan^{2}\theta)=5$, then the value of $\cos2\theta$ is:
Option 1: $\frac{1}{2}$
Option 2: $\frac{1}{\sqrt{2}}$
Option 3: $\frac{\sqrt{3}}{2}$
Option 4: $1$
Correct Answer: $\frac{1}{2}$
Solution : Given: $3(\sec^{2}\theta+\tan^{2}\theta)=5$ ⇒ $3\sec^{2}\theta+3\tan^{2}\theta=5$ ⇒ $6\tan^{2}\theta+3=5$ ⇒ $\tan^{2}\theta=\frac{1}{3}$ We know that, $\cos\theta=\frac{1- \tan^{2}\frac{\theta}{2}}{1+ \tan^{2}\frac{\theta}{2}}$ So, $\cos2\theta=\frac{1- \tan^{2}\theta}{1+ \tan^{2}\theta}=\frac{1-\frac{1}{3}}{1+\frac{1}{3}}=\frac{\frac{2}{3}}{\frac{4}{3}}={\frac{1}{2}}$ Hence, the correct answer is $\frac{1}{2}$.
Question : Comprehension: Read the passage and answer the questions. A woman who rides the success wave as an underwater photographer, pilot, financial adviser, management consultant, pearl diver, bartender, bus driver, or police officer, is very often suddenly swung back looking for answers after she becomes a mother. And there comes a phase when she has to choose between motherhood and a thriving career. The former takes precedence for many, as it becomes the purpose for the latter to exist. To work or not to work: Hobson’s choice imposes a high cost on both individuals and society. As a result, many professionals reject motherhood entirely. Others delay childbearing for so long that they are forced into the arms of the booming fertility industry. Some choose not to work at all, representing a loss to collective investment in talent. But a choice must be made! Conventionally, a mother is seen putting others before herself. She is known for slaying her own sphere bit by bit to build a new world for her child. Thereupon, motherhood and sacrifice get conjoined in such a way that both become inseparable. What merits attention is to understand a woman’s struggle to answer the individual within her! Her circumstances post-delivery (over which she hardly has any control) conveniently rob her of the goalpost she fielded half her life, that is, her career. Neither money nor family can restore what is lost when she loses her career. To map the paradigm of this loss-gain conundrum, let’s examine women in the empowered and non-empowered categories. The first lot have financial, ideological, and emotional resources to re-create a career. It is the latter that gets sandwiched between their call for motherhood and a slipping career. Noticeably, education is the least responsible factor for their deplorable situation. Instead, it is the educated bunch who are more frustrated than their uneducated counterparts; the ones who had carefully worked on a skill and climbed up the success ladder, only to embrace identity crises. It is important to close the vacuum of a lost career as soon as it appears. At risk is a woman’s individuality, her self-esteem, which constitutes the very purpose of her being. Otherwise, a long hiatus from work can consume even a well-minded woman and push her into depression. Question: In the context of the passage, ‘hiatus’ means:
Option 1: break in a career
Option 2: pursuing a career
Option 3: a paid leave in a career
Option 4: giving up a career
Correct Answer: break in a career
Solution : The correct choice is the first option.
In the context of the passage, hiatus means a break or interruption in a woman's career, typically referring to a period of time when she takes time off from work, especially after becoming a
Question : If in a $\triangle ABC$, $\angle ABC=5\angle ACB$ and $\angle BAC=3\angle ACB$, then what is the value of $\angle ABC$?
Option 1: $130°$
Option 2: $80°$
Option 3: $100°$
Option 4: $120°$
Correct Answer: $100°$
Solution : Given: $\angle ABC$ = $5\angle ACB$ $\angle BAC$ = $3\angle ACB$ Now, $\angle ABC+\angle ACB+\angle BAC$ = $180^{\circ}$ ⇒ $5\angle ACB+\angle ACB+3\angle ACB$ = $180^{\circ}$ ⇒ $9\angle ACB=180^{\circ}$ ⇒ $\angle ACB=20^{\circ}$ ⇒ $\angle ABC =5\times20^{\circ} =100^{\circ}$ Hence, the correct answer is $100^{\circ}$.
Question : Directions: Which two signs should be interchanged to make the given equation correct? 39 ÷ 3 – 11+ 57 × 29 = 171
Option 1: – and ×
Option 2: – and +
Option 3: ÷ and +
Option 4: ÷ and –
Correct Answer: – and ×
Solution : Given: 39 ÷ 3 – 11 + 57 × 29 = 171
Let's check the options — First option: – and × ⇒39 ÷ 3 × 11 + 57 – 29 = 171 13 × 11 + 57 – 29 = 171 143
Question : Where has the world’s largest monolithic statue of Buddha been installed ?
Option 1:
Bamiyan
Option 2: Hyderabad
Option 3: Kandy
Option 4: Lhasa
Correct Answer:
Solution : The Correct Answer is Bamiyan
Bamiyan is located in the Hindu Kush highlands in Afghanistan's central highlands. The Bamiyan Buddha statues, carved from sandstone cliffs, are thought to date back to the 5th century AD and were formerly the world's tallest standing Buddhas.Locals called them
Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer.
All of us are devoted _________ one another.
Option 1: For
Option 2: Of
Option 3: At
Option 4: To
Correct Answer: To
Solution : The fourth option is the correct answer because 'to' is used after the word 'devoted' to indicate a relationship between the subject (all of us) and the object of their devotion (one another).
In this case, "devoted" implies a strong commitment or attachment to "one
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