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Question : The average of nine consecutive numbers is $n$, if the next two numbers are also included the new average will be:
Option 1: increase by 2
Option 2: remain the same
Option 3: increase by 1.5
Option 4: increase by 1
Correct Answer: increase by 1
Solution : Given: The average of nine consecutive numbers is $n$. So, fifth number = $n$ Tenth number = $n + 5$ Eleventh number = $n + 6$ $\therefore$ New average = $\frac{9n + n + 5 + n + 6}{11}=\frac{(11n+11)}{11} = \frac{(n+1)\times 11}{11} =
Question : Directions: Study the given pattern carefully and select the number that can replace the question mark (?) in it.
Option 1: 7
Option 2: 11
Option 3: 9
Option 4: 8
Correct Answer: 7
Solution : The square of the number given in the first column is equal to the multiplication of the second and the third column's number – In the row one: (12)2 = 9 × 16 ⇒ 144 = 144 In the row two: (9)2 =
Question : If LCM of two numbers is 72 and their product is 1728 , then what is the HCF of the numbers?
Option 1: 1
Option 2: 18
Option 3: 24
Option 4: 12
Correct Answer: 24
Solution : Product of LCM and HCF of two numbers = Product of two numbers So, 72 × HCF = 1728 ⇒ HCF = 24 Hence, the correct answer is 24.
Question : Tolkappiyar is a famous ancient grammarian of the ______ language.
Option 1: Tamil
Option 2: Kannada
Option 3: Telugu
Option 4: Oriya
Correct Answer: Tamil
Solution : The correct answer is Tamil.
Tolkappiyar was a renowned grammarian of the Tamil language. He is the author of the Tolkappiyam book, the oldest surviving Tamil grammar. Tolkappiyam is a collection of poems and prose written by Tolkappiyar, one of the disciples of Agattiyar.
Question : Which of the following is a coal deposit basin in Bangladesh?
Option 1: Talcher
Option 2: Phulbari
Option 3: Kohistan
Option 4: Samdrup Jongkhar
Correct Answer: Phulbari
Solution : The correct answer is Phulbari.
Phulbari is a coal deposit basin in Bangladesh. It is located in the northwestern part of Bangladesh, and the Phulbari Coal and Power Project is located just 10 kilometres away from the Indian border. The other coal basins discovered in
Option 1: 72
Option 2: 120
Option 3: 88
Option 4: 68
Correct Answer: 68
Solution : Given:
The pattern can be observed running horizontally along the rows – Row 1: √(36) + 49 = 6 + 49 = 55 Row 2: √(64) + 39 = 8 + 39 = 47 Row 3:
Question : Suman paid INR 9,600 in interest on a loan she obtained 5 years ago with a simple interest rate of 16%. What was the amount of the loan she had taken?
Option 1: INR 13,250
Option 2: INR 12,500
Option 3: INR 12,000
Option 4: INR 11,750
Correct Answer: INR 12,000
Solution : Let the principal be $\text{x}$. We know, Simple interest = $\frac{\text{Principal × Rate × Time}}{100}$ ⇒ $9600=\frac{\text{x × 16 × 5}}{100}$ ⇒ $\text{x}=\frac{\text{9600 × 100}}{\text{16 × 5}}$ ⇒ $\text{x}=12000$ Hence, the correct answer is INR 12000.
Question : The mean proportional of $(a+b)(a-b)^3,(a+b)^3(a-b)$ is:
Option 1: $(a+b)^2(a–b)^2$
Option 2: $(a+b)^2(a–b)$
Option 3: $(a+b)(a–b)^2$
Option 4: $a^2-b^2$
Correct Answer: $(a+b)^2(a–b)^2$
Solution : Let the mean proportion of $(a+b)(a-b)^3,(a+b)^3(a-b)$ be $x$. Mean proportion of $A$ and $B$ = $\sqrt{A×B}$ ⇒ $x=\sqrt{ (a+b)(a-b)^3 \times (a+b)^3(a-b)}$ ⇒ $x = \sqrt{(a+b)^4 (a-b)^4}$ ⇒ $x = (a+b)^2(a-b)^2$ Hence, the correct answer is $(a+b)^2(a-b)^2$.
Question : 'Plague' is caused by ___.
Option 1: Bacteria
Option 2: Protozoa
Option 3: Virus
Option 4: All of the above
Correct Answer: Bacteria
Solution : The correct option is Bacteria.
The micro-organism that causes plague is a bacteria, often found in fleas. The plague can pass from animals to people by bites from infected fleas, direct contact with contaminated tissues, and inhalation of infected respiratory droplets.
Question : Parts of the following sentence have been given as options. Select the option that contains an error.
The news is very good to be true.
Option 1: to be true
Option 2: very good
Option 3: The news
Option 4: is
Correct Answer: very good
Solution : The correct choice is the second option.
Explanation: The error in this sentence is with the phrase "very good". While "very good" is a common expression, the issue here is that the sentence implies the news is excessively positive, to the point of
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