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Question : Directions: In the given question, a sentence is given with a blank to be filled in with an appropriate word. Four alternatives are suggested for each question. Choose the correct alternative out of the four alternatives.
The conversation (1) / we are having is completely (2) / out of the main topic. (3) / No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The error lies in the third part of the sentence.
The phrase "out of" should be replaced with "off". "Off-topic" means something which is not related to the matter being discussed, and "off the main topic" is the correct usage in this sentence.
Therefore,
Question : Akshita and Raina are typing a book, but have only one laptop to work on. They decided that they would work on an alternate basis such that Akshita would work for the first day, Raina would work for the second day, Akshita for the third day and so on. Akshita alone can finish the typing work in 16 days, while Raina will take 24 days if she works alone on the entire book. How many days will they take to finish the typing work if they work on an alternate basis?
Option 1: 15
Option 2: 18
Option 3: 19
Option 4: 17
Correct Answer: 19
Solution : Time taken by Akshita to complete the work = 16 days Part of work done by Akshita in a day = $\frac{1}{16}$ Time taken by Raina to complete the work = 24 days Part of work done by Raina in a day = $\frac{1}{24}$ Part
Question : Directions: Which of the following numbers will replace the question mark (?) and complete the given number series? 48, 50, 54, 66, 114, ?
Option 1: 352
Option 2: 358
Option 3: 354
Option 4: 356
Correct Answer: 354
Solution : Given: 48, 50, 54, 66, 114, ? The pattern is as follows –
So, the missing number is 354. Hence, the third option is correct.
Question : An amount was lent for one year at 18% per annum, compounding annually. Had the compounding been done half-yearly, the interest would have increased by 324. What was the amount (in Rs.) lent?
Option 1: Rs. 32,000
Option 2: Rs. 36,000
Option 3: Rs. 40,000
Option 4: Rs. 72,000
Correct Answer: Rs. 40,000
Solution : Given: An amount was lent for one year at 18% per annum, compounding annually. We know the formula, $P(1 + \frac{r}{n})^{nt} = A$. For yearly compounding (n = 1), $P(1 + \frac{0.18}{1}) = A$ ⇒ $P(1.18) = A$ The interest each year is given
Question : What is the HCF of 1.05 and 6.23?
Option 1: 0.89
Option 2: 0.21
Option 3: 0.07
Option 4: 0.35
Correct Answer: 0.07
Solution : 1.05 = $\frac{105}{100}$ 6.23 = $\frac{623}{100}$ HCF of fractions = $\frac{\text{HCF of numerator}}{\text{LCM of denominator}}$ HCF of $\frac{105}{100}$ and $\frac{623}{100}$ = $\frac{7}{100}=0.07$ Hence, the correct answer is 0.07.
Question : The world's wettest continent is :
Option 1: Asia
Option 2: Europe
Option 3: North America
Option 4: South America
Correct Answer: South America
Solution : The correct answer is South America.
South America is the wettest and Australia is the driest continent in the world. A low pressure region is formed between the Northern and Southern Hemisphere because of the convergence of the trade winds of the both hemispheres.
Question : What is the compound interest on Rs.16400 for 1 year at 9% per annum when compounded half-yearly?
Option 1: Rs. 1640.40
Option 2: Rs. 1608.20
Option 3: Rs. 1509.21
Option 4: Rs. 1680.90
Correct Answer: Rs. 1509.21
Solution : Principal = Rs. 16400 As it compounded half yearly, so Time = 2 Rate = $\frac{9}{2}$ Total Amount = Principal × $(1+\frac{\text{Rate}}{100})^{\text{Time}}$ $=16400(1+\frac{\frac{9}{2}}{100})^2$ $=16400(1+\frac{9}{200})^2$ $=16400×\frac{209}{200}×\frac{209}{200}$ $=17909.21$ Compound interest = 17909.21 – 16400 = 1509.21 Hence, the correct answer is Rs. 1509.21.
Question : The main source of Naphthalene is
Option 1: Charcoal
Option 2: Camphor
Option 3: Coal-tar
Option 4: Diesel
Correct Answer: Coal-tar
Solution : The correct option is - Coal-tar
Either petroleum distillation or the extraction of coal tar yield naphthalene. It serves as a pest deterrent and pesticide. Additionally, it is employed in the production of fuels, dyes, resins, and polymers. In 1948, naphthalene was approved for use
Question : The Panchayat Raj system in India was introduced under the direction of which article of the constitution?
Option 1: 32
Option 2: 40
Option 3: 45
Option 4: 51
Correct Answer: 40
Solution : The correct option is 40.
Article 40 of the Indian Constitution directed the establishment of the Panchayat Raj system in India. The Directive Principles of State Policy, which offer recommendations for the government to create a just society in India, include this article.
Question : The equal length of day and night on September 23rd in all parts of the world is known as
Option 1: Autumnal Equinox
Option 2: Celestial Equinox
Option 3: Winter Equinox
Option 4: Vernal Equinox
Correct Answer: Autumnal Equinox
Solution : The correct answer is Autumnal Equinox.
The autumnal equinox symbolises the start of fall in the Northern Hemisphere and the start of spring in the Southern Hemisphere. This occurs on the 22nd or 23rd of September. The Earth's axis is neither inclined towards nor
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