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Question : How much time will it take for an amount of Rs. 450 to yield Rs. 47.25 as interest at 3.5% per annum of simple interest?
Option 1: 1 year
Option 2: 2 years
Option 3: 3 years
Option 4: 4 years
Correct Answer: 3 years
Solution : Given: Principal = Rs. 450 Simple interest = Rs. 47.25 Rate = 3.5% We know that, Simple interest = $\frac{\text{Principal × Rate × Time}}{100}$ ⇒ $47.25 = \frac{\text{450 × 3.5 × Time}}{100}$ ⇒ Time = $\frac{47.25\times100}{450\times3.5}$ ⇒ Time = $\frac{4725}{1575}=3$ years Hence, the correct
Question : The essential feature of democracy is giving prominence to the
Option 1: Executive
Option 2: Judiciary
Option 3: Citizen
Option 4: Civil society
Correct Answer: Citizen
Solution : The correct option is a Citizen.
India's Constitution embraces a democratic system of governance, allowing the people to select their representatives. A democracy is a system in which the majority of members of a party, organisation, or group are in charge of that entity.
Question : Directions: If θ denotes added to, δ denotes subtracted from, β denotes divided by, and α denotes multiplied by, then 5 β 1 δ 9 α 7 θ 142 = ?
Option 1: 114
Option 2: 98
Option 3: 84
Option 4: 125
Correct Answer: 84
Solution : Given: 5 β 1 δ 9 α 7 θ 142 = ?
Replacing the symbols with mathematical signs, we get – = 5 ÷ 1 – 9 × 7 + 142 = 5 – 9 × 7 + 142 = 5 – 63 + 142
Question : If $a=\sqrt{6}+\sqrt{5},b=\sqrt{6}-\sqrt{5}$, then $2a^{2}-5\; ab+2b^{2} =?$
Option 1: 38
Option 2: 39
Option 3: 40
Option 4: 41
Correct Answer: 39
Solution : Given: $a=\sqrt{6}+\sqrt{5}$ and $b=\sqrt{6}-\sqrt{5}$ Then, $a^{2} = (\sqrt{6}+\sqrt{5})^{2} = 6 + 2\sqrt{30} + 5 = 11 + 2\sqrt{30}$ $b^{2} = (\sqrt{6}-\sqrt{5})^{2} = 6 - 2\sqrt{30} + 5 = 11 - 2\sqrt{30}$ Now, the product of $a$ and $b$: $ab = (\sqrt{6}+\sqrt{5})(\sqrt{6}-\sqrt{5}) = 6 - 5
Question : Comprehension: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank. Women won their present status through (1)____ and sacrifices rather than through men's kindness. Women and their supporters have fought, and in some places continue to fight for the same rights as (2)____. Laws were made to replace local customs which denigrated and suppressed women's rights. Women have (3)_____ higher positions in the world at all levels; political, economic and social. But in reality, women still suffer from (4)____ at various levels. For example, women work more and earn less than men. In addition to that, the majority of the world's poor and illiterate are women. The road to real (5)_____ is still long. Question: Select the most appropriate option to fill in the blank number 4.
Option 1: issues
Option 2: tolerance
Option 3: equality
Option 4: discrimination
Correct Answer: discrimination
Solution : The fourth option is the correct choice.
The context indicates that despite progress, women still face challenges, and the word that best conveys these challenges is discrimination. It implies unfair treatment based on gender.
The meanings of the other options are as follows:
Question : The sides of a triangle are in the ratio 5 : 12 : 13 and its perimeter is 90 cm. Find its area (in cm2).
Option 1: 150
Option 2: 270
Option 3: 30
Option 4: 60
Correct Answer: 270
Solution : Let the sides of the triangle be $5x, 12x,$ and $13x$ (where $x$ is a positive constant) The perimeter of the triangle is the sum of its sides: ⇒ $5x+12x+13x=90$ ⇒ $30x = 90$ ⇒ $x = \frac{90}{30}$ = 3 first side = $5x$ =
Question : An article having a marked price of Rs. 2400 is sold for Rs. 1872. What is the discount percentage?
Option 1: 21%
Option 2: 22%
Option 3: 24%
Option 4: 26%
Correct Answer: 22%
Solution : Given: An article having a marked price of Rs. 2400 is sold for Rs. 1872. So, discount = (2400 – 1872) = 528 So, discount percentage = $\frac{528}{2400}$ × 100 = 22% Hence, the correct answer is 22%.
Question : Two concentric circles are of radii 10 cm and 6 cm. Find the length of the chord of the larger circle which touches the smaller circle.
Option 1: 8 cm
Option 2: 16 cm
Option 3: 12 cm
Option 4: 9 cm
Correct Answer: 16 cm
Solution :
We have, OB = 10 cm and OD = 6 cm Radius perpendicular to the tangent. $\angle ODB$ = 90º Using Pythagoras' theorem in $\triangle ODB$ OB2 = OD2 + BD2 ⇒ 102 = 62 + BD2 ⇒
Question : A student's marks were wrongly entered as 65 instead of 45. Due to this, the average marks for the class got increased by $\frac{1}{3}$. The number of students in the class is:
Option 1: 40
Option 2: 20
Option 3: 60
Option 4: 30
Correct Answer: 60
Solution : Let $n$ be the total number of students and $x$ be the average when the mark is counted as 45. The average when the mark is counted as 65 is $x+\frac{1}{3}$ Now, $x$ = $\frac{\text{total marks of (n-1)students + 45}}{n}$ ⇒ Total marks of $(n-1)$
Question : The radius of a right circular cylinder is thrice of its height. If the height of the cylinder is 3.5 cm, what is the volume of the cylinder?
Option 1: 1124.25 cm3
Option 2: 1324.75 cm3
Option 3: 1468.25 cm3
Option 4: 1212.75 cm3
Correct Answer: 1212.75 cm3
Solution : The height of the cylinder, $h$ = 3.5 cm So, radius, $r$ = 3.5 × 3 = 10.5 cm Now, the volume of the cylinder = $\pi r^2 h=\frac{22}{7}×(10.5)^2×3.5=1212.75\ \text{cm}^3$ Hence, the correct answer is 1212.75 cm3.
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