In India, Cardamom Hills are regarded as a continuation of the
UPSC CAPF
42. If 35% of a number is 416 more than 27% of the same number, then the n
If 35% of a number is 416 more than 27% of the same number, then the number is
35% of the number = 0.35 * N
27% of the number = 0.27 * N
The problem states that 35% of the number is 416 more than 27% of the same number.
So, 0.35N = 0.27N + 416
Subtract 0.27N from both sides:
0.35N – 0.27N = 416
0.08N = 416
To find N, divide 416 by 0.08:
N = 416 / 0.08
N = 416 / (8/100)
N = 416 * (100/8)
N = (416/8) * 100
N = 52 * 100
N = 5200
The number is 5200.
43. How much water is to be added to 75 ml of alcohol so that the mixture
How much water is to be added to 75 ml of alcohol so that the mixture contains 25% of alcohol?
The initial mixture is pure alcohol, so it contains 75 ml of alcohol and 0 ml of water, with a total volume of 75 ml.
Let ‘x’ be the amount of water added in ml.
After adding ‘x’ ml of water, the amount of alcohol remains 75 ml, and the total volume of the mixture becomes (75 + x) ml.
The target is for the mixture to contain 25% alcohol.
Percentage of alcohol = (Amount of alcohol / Total volume of mixture) * 100
25 = (75 / (75 + x)) * 100
Dividing both sides by 100:
0.25 = 75 / (75 + x)
Multiply both sides by (75 + x):
0.25 * (75 + x) = 75
18.75 + 0.25x = 75
Subtract 18.75 from both sides:
0.25x = 75 – 18.75
0.25x = 56.25
Divide by 0.25:
x = 56.25 / 0.25
x = 5625 / 25
x = 225
Therefore, 225 ml of water must be added.
44. The difference of compound interest and simple interest of a sum of mo
The difference of compound interest and simple interest of a sum of money at the rate of 5% per year for 2 years is ₹250. The sum is
Rate (R) = 5% per year
Time (T) = 2 years
Difference (CI – SI) = ₹250
Let the sum be P.
Using the formula: CI – SI = P * (R/100)^2
250 = P * (5/100)^2
250 = P * (1/20)^2
250 = P * (1/400)
P = 250 * 400
P = 1,00,000
Thus, the sum is ₹1,00,000.
45. A shopkeeper gives two consecutive discounts of 10% and 5% respectivel
A shopkeeper gives two consecutive discounts of 10% and 5% respectively on his items. He then adds 20% GST on his items. If an item has marked price ₹2,000, how much more or less of the actual price of the item a customer has to pay?
Price after 1st discount (10%): ₹2000 * (1 – 0.10) = ₹2000 * 0.90 = ₹1800.
Price after 2nd discount (5%): ₹1800 * (1 – 0.05) = ₹1800 * 0.95 = ₹1710. This is the price before GST.
Price after adding 20% GST: ₹1710 * (1 + 0.20) = ₹1710 * 1.20 = ₹2052.
The final price paid by the customer is ₹2052.
The original marked price was ₹2000.
Difference = Final Price – Marked Price = ₹2052 – ₹2000 = ₹52.
The customer pays ₹52 more.
Percentage difference = (Difference / Marked Price) * 100 = (52 / 2000) * 100 = (52/20) = 2.6%.
The customer pays 2.6% more than the actual (marked) price.
46. Which one of the following statements with regard to Maneka Gandhi vs.
Which one of the following statements with regard to Maneka Gandhi vs. Union of India case, 1978 is not correct?
A) It was held that Article 19 and Article 21 are not watertight compartments: This is correct. The court held that the fundamental rights are not isolated but form an integrated scheme. Any law that restricts personal liberty under Article 21 must also satisfy the requirements of Article 19 (where applicable) and Article 14.
B) It was held that a law coming under Article 21 may not satisfy the requirements of Article 19: This is incorrect. The judgment precisely held the opposite. The ‘procedure established by law’ under Article 21 must be fair, just, and reasonable, and it must also pass the test of the freedoms guaranteed under Article 19 (like freedom of movement if a passport is impounded) and the equality principle under Article 14.
C) A fair trial eliminates the biases against the accused in the trial: While the case primarily dealt with passport impoundment, the broader impact of the judgment was to introduce the concept of procedural due process into Article 21. Fair trial is a core component of a just and reasonable procedure, aiming to eliminate biases. This statement reflects the spirit of the expanded interpretation of Article 21, although not the direct context of passport impoundment.
D) The right to life under Article 21 does not include the right to die: This is correct. The Supreme Court has consistently held that the right to life under Article 21 does not extend to the right to commit suicide or the right to die.
Since the question asks for the statement that is *not* correct, option B is the answer.
– It established the interconnectedness of Articles 14, 19, and 21.
– Procedure under Article 21 must be ‘fair, just, and reasonable’.
– A law under Article 21 must also satisfy the requirements of Article 19 and 14.
47. Which one of the following powers has **not** been conferred on the Pr
Which one of the following powers has **not** been conferred on the President of India?
B) To decide at his/her discretion any question regarding disqualification of a Member of the Parliament: Regarding disqualification of a Member of Parliament under Article 102 (except disqualification under the Tenth Schedule which is decided by the Speaker/Chairman), the question is referred to the President. However, Article 103(2) mandates that the President shall obtain the opinion of the Election Commission of India and shall act according to such opinion. Therefore, the President does not decide this question *at his/her discretion*. The power to decide is conferred, but *without* discretion. The power *to decide at discretion* is not conferred.
C) To grant pardon to a person who has been punished by a court-martial: The President has the power to grant pardons, reprieves, respites or remissions of punishment or to suspend, remit or commute the sentence of any person convicted of any offence under Article 72, including sentences by court-martial. This power is conferred.
D) To remove a Judge of the High Court: A Judge of a High Court can be removed from office by the President under Article 217(1)(b) read with Article 124(4). The removal process is initiated in Parliament, and an address by each House must be presented to the President in the same session for the President to issue the removal order. While the President issues the final order, the substantive power and decision-making process reside with Parliament. However, the *power to remove* (as the final executive act) is conferred on the President, albeit conditionally.
Comparing B and D, option B specifically highlights a power *at discretion* which is absent, making it the most accurate answer to the question asking which power *has not been conferred*. The power to decide disqualification under Art 102 *is* conferred on the President, but the associated discretion is not.
– President decides on MP disqualification (under Art 102), but *must* act on ECI’s advice, thus lacking discretion.
– The question asks for a power not conferred or not conferred in the manner described (at discretion).
48. Consider the following quote: “On the 26th January, 1950, we are going
Consider the following quote:
“On the 26th January, 1950, we are going to enter a life of contradictions. In politics we will have equality and in social and economic life we will have inequality.”
To whom among the following leaders is this quote attributed?
– It contrasts political equality bestowed by the Constitution with existing social and economic disparities.
– The quote is from B.R. Ambedkar’s speech in the Constituent Assembly.
49. The Constitution of India contains no provision for the constitution o
The Constitution of India contains no provision for the constitution of municipalities in every State for
(a) a Nagar Panchayat for a transitional area (an area in transition from a rural area to an urban area);
(b) a Municipal Council for a smaller urban area; and
(c) a Municipal Corporation for a larger urban area.
The Constitution provides for Nagar Panchayats, Municipal Councils, and Municipal Corporations. It does not provide for an “Urban Panchayat”. Panchayats (Village Panchayats, Intermediate Panchayats, District Panchayats) are constitutionally provided for in Part IX for rural areas.
– Article 243Q defines the types of Municipalities: Nagar Panchayat, Municipal Council, Municipal Corporation.
– The term “Urban Panchayat” is not used or defined in the Constitution for urban local governance.
50. Which one of the following fundamental rights has **not** been provide
Which one of the following fundamental rights has **not** been provided to a person?
Option C, “To act as a witness against himself/herself,” describes an action that is not a fundamental right; rather, the right is *not to be compelled* into this action. However, option B is a specific type of refusal, which courts have explicitly ruled is *not* a fundamental right protected by Article 20(3). Hence, the right *to refuse* a handwriting sample is not provided as a fundamental right.
– The right against self-incrimination (Art 20(3)) protects against *testimonial* compulsion.
– Providing handwriting samples is generally considered non-testimonial evidence by courts.