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Question : The sum of the length, breadth, and height of a cuboid box is 20 cm and the total surface area of a cuboid is 256 sq. cm. What is the maximum length (in approximate) of a stick that can be placed inside the cuboid box?
Option 1: 16 cm
Option 2: 24 cm
Option 3: 32 cm
Option 4: 12 cm
Correct Answer: 12 cm
Solution : The sum of the length, breadth, and height of a cuboid box is 20 cm. ⇒ $l + b + h = 20$, Where $l$ = length, $b$ = breadth, $h$ = height The total surface area of the cuboid = 256 sq. cm.
Question : Which of the following celestial bodies does NASA plan to explore through its mission "Dragonfly"?
Option 1: Proxima Centauri
Option 2: Titan
Option 3: Sun
Option 4: Uranus
Correct Answer: Titan
Solution : The correct option is Titan.
NASA's Dragonfly mission is planned to explore Titan, Saturn's largest moon. Dragonfly is a rotorcraft lander designed to study prebiotic chemistry and extraterrestrial habitability. The mission aims to investigate Titan's diverse environments, including its dunes, mountains and organic-rich chemistry,
Question : Using $\cos (A+B)=\cos A \cos B-\sin A \sin B$, find the value of $\cos 75^\circ$.
Option 1: $\frac{\sqrt{5}-1}{4}$
Option 2: $\frac{\sqrt{5}+1}{4}$
Option 3: $\frac{\sqrt{6}-\sqrt{2}}{4}$
Option 4: $\frac{\sqrt{6}+\sqrt{2}}{4}$
Correct Answer: $\frac{\sqrt{6}-\sqrt{2}}{4}$
Solution : Given: $\cos (A+B)=\cos A \cos B-\sin A \sin B$ Let $A=45^\circ, B=30^\circ$ So, $\cos (45^\circ+30^\circ) = \cos 45^\circ \cos30^\circ - \sin45^\circ \sin 30^\circ$ ⇒ $\cos 75^\circ= \frac{1}{\sqrt{2}}×\frac{\sqrt{3}}{2}-\frac{1}{\sqrt{2}}×\frac{1}{2}=\frac{\sqrt{3}-1}{2\sqrt{2}}=\frac{\sqrt{6}-\sqrt{2}}{4}$ So, the value of $\cos 75^\circ$ is $\frac{\sqrt{6}-\sqrt{2}}{4}$. Hence, the correct answer is $\frac{\sqrt{6}-\sqrt{2}}{4}$.
Question : Directions: Select the related letter cluster from the given alternatives. PZQW : NXOU :: FISK : ?
Option 1: EFPJ
Option 2: FERI
Option 3: DGQI
Option 4: HKVM
Correct Answer: DGQI
Solution : Given: PZQW : NXOU :: FISK : ?
Subtract 2 from the place value of PZQW to obtain the required code – P – 2 = N; Z – 2 = X; Q – 2 = O; W – 2 = U Thus, PZQW is
Question : Which of the following god/goddess is not associated with the Ratha Yatra festival of Puri, Odisha?
Option 1: Lord Jagannath
Option 2: Lord Balabhadra
Option 3: Devi Subhadra
Option 4: Lord Shiva
Correct Answer: Lord Shiva
Solution : The correct answer is Lord Shiva.
Ratha Jatra, also known as the Chariot event, is a Hindu event commemorating Lord Jagannath in Puri, Odisha. Thousands of devotees from India and beyond pull the three holy chariots carrying idols of Lord Jagannath, his
Question : Directions: Which figure from the given options would replace the question mark (?) if the following figure series were to be continued?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : In the given figure, follow the directions to find the next term –
Hence, the second option is correct.
Question : In the given sentence, identify the segment which contains a grammatical error. The staff is being advise to maintain distance while seated in the office.
Option 1: The staff
Option 2: to maintain
Option 3: in office
Option 4: is being advise
Correct Answer: is being advise
Solution : The error lies in the fourth option.
The error lies in the verb form. "Advise" is incorrect because it is in the base form, whereas it should be in the past participle form to form the passive voice with the helping verb "is
Question : Which act has been amended by the Supreme Court of India to provide equal rights to daughters in their ancestral property?
Option 1: The Contempt of Courts Act.
Option 2: Hindu Succession Act.
Option 3: Hindu Marriage Act.
Option 4: Sarda Act.
Correct Answer: Hindu Succession Act.
Solution : The correct option is the Hindu Succession Act.
In a ruling on August 11, 2020, the Supreme Court of India declared that, as per the Hindu Succession Act, 1956, daughters are entitled to the same rights concerning their ancestral property as sons.
Question : Comprehension: In the following passage, some of the words have been deleted. Read the passage carefully and select the correct answer for the given blank out of the four alternatives.
Gardenia is one of the most (1)____ flowers, producing one of the most beloved scents in the garden world. Fall or spring is the best time to (2) _______ this shrub in warmer climates. It also (3) _______ a fragrant houseplant, though it can be fussy about indoor humidity. Container plants can be (4) ________ outdoors during summer and returned to moderate indoor temperatures in the (5) ______. Question: Select the most appropriate option to fill in the blank No. 2.
Option 1: host
Option 2: plant
Option 3: stamp
Option 4: train
Correct Answer: plant
Solution : The second option is correct.
The second blank will require a word that mentions the process of putting the seeds of the flower in the ground. Thus, the correct word among the given options for the given blank is plant. The verb plant means
Question : What is the meaning of the medals "Tong Xin" given at the 2022 Beijing Winter Olympics?
Option 1: Together we can achieve
Option 2: Together for a shared future
Option 3: Together for a successful future
Option 4: Together as one
Correct Answer: Together as one
Solution : The correct option is Together as one.
The medals for the Beijing 2022 Winter Olympics, named "Tong Xin," which translates to "together as one," feature a design consisting of five rings and a central element. Inspired by ancient Chinese jade concentric circle
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