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Question : Which is the largest two-digit prime number?
Option 1: 91
Option 2: 93
Option 3: 97
Option 4: 99
Correct Answer: 97
Solution : 97 is the largest two-digit prime number. Its only two factors are 1 and 97 itself. Hence, the correct answer is 97.
Question : The most important feature of Cabinet system of Government is
Option 1: Individual responsibility
Option 2: Collective responsibility
Option 3: Responsibility to none
Option 4: Non-responsibility
Correct Answer: Collective responsibility
Solution : The correct option is collective responsibility.
The most significant component of a Cabinet form of governance is "collective responsibility." This implies that all Cabinet members, including the Prime Minister, are jointly responsible for government decisions and policies. They must publicly endorse a choice even
Question :
Directions: In the following question, select the related number from the given alternatives. 42 : 20 :: 64 : ?
Option 1: 31
Option 2: 32
Option 3: 40
Option 4: 42
Correct Answer: 31
Solution : Given: 42 : 20 :: 64 : ?
The pattern is as follows – Like, 42 : 20→(42 ÷ 2) – 1 = 21 – 1 = 20 Similarly, follow the same pattern for 64 : ?→(64 ÷ 2) – 1 = 32 – 1
Question : In a mixture of 178 litres, the ratio of water and milk is 5 : 7. How much water should be added to make the ratio of water and milk 3 : 4?
Option 1: $3 \frac{17}{24}$ litres
Option 2: $3 \frac{13}{24}$ litres
Option 3: $2\frac{11}{24}$ litres
Option 4: $2\frac{23}{24}$ litres
Correct Answer: $3 \frac{17}{24}$ litres
Solution : Total quantity = 178 litres Quantity of water = $178 \times \frac{5}{12} = \frac{890}{12}$ litres Quantity of milk = $178 \times \frac{7}{12} = \frac{1246}{12}$ litres Now, after adding $x$ litres of water. $⇒\frac{\frac{890}{12} + x}{\frac{1246}{12}} = \frac{3}{4}$ $⇒\frac{\frac{890+12x}{12}}{ \frac{1246}{12}} = \frac{3}{4}$ $⇒\frac{890+12x}{1246} =
Question : If $\theta$ is an acute angle and $\sin \theta \cos \theta=2 \cos ^3 \theta-\frac{1}{4} \cos \theta$, then the value of $\sin \theta$ is:
Option 1: $\frac{\sqrt{15}-1}{8}$
Option 2: $\frac{\sqrt{15}-1}{4}$
Option 3: $\frac{\sqrt{15}+1}{4}$
Option 4: $\frac{\sqrt{15}-1}{2}$
Correct Answer: $\frac{\sqrt{15}-1}{4}$
Solution : Given that $\sin \theta \cos \theta=2 \cos ^3 \theta-\frac{1}{4} \cos \theta$ ⇒ $\sin \theta=2 \cos ^2 \theta-\frac{1}{4}$ ⇒ $\sin \theta=2-2 \sin ^2 \theta-\frac{1}{4}$ ⇒ $2 \sin ^2 \theta + \sin \theta=\frac{7}{4}$ Let $\sin\theta=x$ Hence, the Expression becomes: $8x^2+4x-7=0$ Comparing with $ax^2+bx+c=0$ $a=8, b=4,$ and $c=-7$
Question : The three racers' speed ratio is 3 : 2 : 4. What is the respective ratio of time taken by the three racers to cover the same distance?
Option 1: 6 : 8 : 9
Option 2: 4 : 8 : 5
Option 3: 10 : 8 : 3
Option 4: 4 : 6 : 3
Correct Answer: 4 : 6 : 3
Solution : Given: The three racers' speed ratio is 3 : 2 : 4. We know that time is inversely proportional to speed. So, the respective ratio of time = $\frac{1}{3}:\frac{1}{2}:\frac{1}{4}$ = $\frac{12}{3}:\frac{12}{2}:\frac{12}{4}$ [Multiplying each ratio by 12] = 4 : 6 :
Question : Directions: In a certain code language, ROBOT is written as BOTOR, and BRING is written as INGRB. How will PANTS be written in that language?
Option 1: STNAP
Option 2: NAPTS
Option 3: NTSAP
Option 4: NTSPA
Correct Answer: NTSAP
Solution : Given: ROBOT is written as BOTOR and BRING is written as INGRB.
Shuffle the position of the letters of the words ROBOT and BRING to get the required codes.
So, ROBOT is written as BOTOR.
So, BRING is written as INGRB. Similarly, follow the same
Question : Select the option that will improve the underlined part of the sentence. In case no improvement is needed, select ‘No improvement required’.
The smell of this flower make me felt dizzy.
Option 1: making I feel
Option 2: makes me feel
Option 3: make me feeling
Option 4: No improvement required
Correct Answer: makes me feel
Solution : The correct choice is the second option,
Explanation: The phrase "makes me feel" should be used to make the sentence grammatically accurate. There is an error in subject-verb agreement in the sentence, as the singular form of the verb should be
Question : Comprehension:
Read the given passage and answer the questions that follow.
Florence Nightingale came from a rich family and was very pretty. In her family, young girls usually spent their time going to parties until they married rich young men. But Florence found parties boring and she wanted to be a nurse. So, she went to study nursing in a hospital in Germany. Then she was in charge of a nursing home for women in London. Soon she was asked to go to Crimea to take charge of the wounded soldiers there. Finally, when she was 30, her parents accepted her decision.
Question:
What kind of family was Florence born in?
Option 1: A low-income family
Option 2: A wealthy family
Option 3: An ordinary family
Option 4: A middle class family
Correct Answer: A wealthy family
Solution : The correct choice is the second option.
According to the passage, Florence Nightingale's family was wealthy, which is indicated by the passage mentioning she came from a rich family. This context suggests they had significant financial resources.
Question : A table fan is marked at INR 1,700 and a discount of 15% is given. What is its selling price (in INR)?
Option 1: 1,454
Option 2: 1,425
Option 3: 1,445
Option 4: 1,554
Correct Answer: 1,445
Solution : Marked price = INR 1,700 Discount = 15% of marked price Selling price = 85% of marked price = 0.85 × 1700 = INR 1,445 Hence, the correct answer is 1,445.
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