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Question : The following sentence has been divided into parts. One of them may contain an error. Select the part that contains the error from the given options. If you don't find any errors, mark 'No error' as your answer. We will / have been know the result / of the CAT exam by next week.
Option 1: of the CAT exam by next week
Option 2: We will
Option 3: have been know the result
Option 4: No error
Correct Answer: have been know the result
Solution : The error lies in the third option.
Explanation: The error lies in the use of the phrase "have been know". The correct form should be "have known" when expressing future perfect tense. The structure is "will have known", indicating that the
Question : The Upanishads were translated by Dara Shikoh in Persian under the title of
Option 1: Mayma-ul-Bahrain
Option 2: Sirr- i - Akbar
Option 3: Al - Fihrist
Option 4: Kitabul Bayan
Correct Answer: Sirr- i - Akbar
Solution : The correct option is - Sirr- i - Akbar
The Upanishads were translated into Persian by Dara Shikoh, the eldest son of the Mughal Emperor Shah Jahan, under the title of Sirr-e-Akbar which means The Greatest Mystery in Persian. This translation was
Question : What is the least number of students in a class such that they can make rows of 10,15 and 20 and also the total number of students is a perfect square?
Option 1: 6400
Option 2: 1600
Option 3: 900
Option 4: 1800
Correct Answer: 900
Solution : The prime factorization of the numbers is as follows: ⇒ 10 = 2 × 5 ⇒ 15 = 3 × 5 ⇒ 20 = 22× 5 Least Common Multiple (LCM) of 10, 15, and 20 = 22 × 3 × 5 =
Question : Which memory is both static and non-volatile?
Option 1: CACHE
Option 2: ROM
Option 3: BIOS
Option 4: RAM
Correct Answer: ROM
Solution : The correct answer is ROM.
Computer memory that retains fixed data and stays in its programmed state as long as the power is applied is known as static memory. Due to its loss upon power outage, RAM is also sometimes referred to as volatile memory.
Question : A dozen pairs of socks quoted at Rs. 80 are available at a discount of 10%. How many pairs of socks can be bought for Rs. 24?
Option 1: 4
Option 2: 5
Option 3: 3
Option 4: 6
Correct Answer: 4
Solution : Given: A dozen pairs of socks quoted at Rs. 80 are available at a discount of 10%. So, selling price is $80×\frac{90}{100}=72$ A dozen pairs of socks sold at Rs. 72. Price of 1 pair is $\frac{72}{12}=Rs. 6$ So, in Rs. 24, he gets $\frac{24}{6}=4$
Question : Which Indian airport is known for being the first to operate entirely on solar power?
Option 1: Indira Gandhi International Airport
Option 2: Chhatrapati Shivaji Maharaj International Airport
Option 3: Cochin International Airport
Option 4: Kempegowda International Airport
Correct Answer: Cochin International Airport
Solution : Cochin International Airport is known for being the first airport in the world to operate entirely on solar power, demonstrating a commitment to sustainable energy.
Question : The difference between compound interest (compounding annually) and simple interest on a sum at the rate of 30% per annum for 2 years is INR 3,600. What is the sum?
Option 1: INR 75,000
Option 2: INR 40,000
Option 3: INR 50,000
Option 4: INR 60,000
Correct Answer: INR 40,000
Solution : Difference between compound interest (compounding annually) and simple interest = INR 3600 Rate, $R$ = 30% Term = 2 years Let $P$ be the principal sum. Difference between compound interest (compounding annually) and simple interest for 2 years $=P×(\frac{R}{100})^2$ $⇒ 3600 = P×(\frac{30}{100})^2$ $⇒
Question : In 1937, an educational conference endorsing Gandhi's proposals for 'basic education' through the vernacular medium was held at
Option 1: Surat
Option 2: Bombay
Option 3: Ahmedabad
Option 4: Wardha
Correct Answer: Wardha
Solution : The Correct Answer is Wardha
There was unrestricted and required instruction in the mother tongue under the Wardha Scheme of Basic Education (1937). In 1937, Mahatma Gandhi developed a special education program. The Wardha Education Plan was the name given to it. Gandhiji believed in
Question : Three metallic spheres of radii 10 cm, 8 cm, and 6 cm, respectively are melted to form a single solid cone of radius 12 cm. Find the curved surface area of the cone, correct to two places of decimal. (Take $\pi=3.14$)
Option 1: $1664.50 \text{ cm}^2$
Option 2: $1669.86 \text{ cm}^2$
Option 3: $1876.79 \text{ cm}^2$
Option 4: $1864.41 \text{ cm}^2$
Correct Answer: $1864.41 \text{ cm}^2$
Solution : The volume of a sphere, where $r$ is the radius. $V = \frac{4}{3}\pi r^3$ The volume of a cone, where $r$ is the radius and $h$ is the height. $V = \frac{1}{3}\pi r^2 h$ The volume of the three spheres is equal to
Question : In the given figure, a circle is inscribed in $\triangle$PQR, such that it touches the sides PQ, QR and RP, at points D, E, and F, respectively. If the lengths of the sides PQ = 18 cm, QR = 13 cm, and RP = 15 cm, find the length of PD.
Option 1: 10 cm
Option 2: 8 cm
Option 3: 15 cm
Option 4: 12 cm
Correct Answer: 10 cm
Solution : Given: PQ = 18 cm, QR = 13 cm, and RP = 15 cm We know that two tangents to a circle from the same external point are equal. So, PF = PD Let the length of PD be $x$. DQ = $18-x$ =
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