MCSCCE • Paper-II
A solid cone of radius 21 cm and height 10/7 of its radius is melted to form four equal solid cylinders of radius 7 cm. What is the difference between the height of the cone and height of each of the solid cylinders?
A)
9 cm
B)
6 cm
C)
7.5 cm
D)
5.5 cm
Cone: radius R = 21 cm, height H = (10/7) * 21 = 30 cm. Volume of cone = (1/3) * pi * 21^2 * 30 = 4410 * pi cm^3. Four identical cylinders of radius r = 7 cm have total volume = 4 * pi * 7^2 * h = 196 * pi * h. Equating volumes: 196 * pi * h = 4410 * pi => h = 4410 / 196 = 22.5 cm. Difference in height = 30 - 22.5 = 7.5 cm.
MCSCCE • Paper-II
The radius of a circle is 30 cm. The length of the arc of this circle whose chord is 30 cm long, is:
A)
9π cm
B)
10π cm
C)
12π cm
D)
13.6π cm
A chord of length 30 cm in a circle of radius 30 cm forms an equilateral triangle with the center, subtending a central angle of 60° (π/3 radians). Arc length = rθ = 30 × (π/3) = 10π cm.
MCSCCE • Paper-II
‘Perihelion’ refers to the point in the Earth’s orbit when
A)
The Earth is farthest from the Sun
B)
The Earth experiences an equinox
C)
The Sun is at the highest point in the sky
D)
The Earth is closest to the Sun
Perihelion is the point in Earth's orbit where it is at its closest distance to the Sun. Aphelion is when it is farthest.
MCSCCE • Paper-II
With reference to United Nations Framework Convention on Climate Change (UNFCCC), consider the following statements: (i) It was adopted at the Rio Earth Summit. (ii) It aims to stabilize greenhouse gas concentrations. (iii) It mandates developed countries to reduce carbon emissions by 50% every decade. Which of the statements given above are correct?
A)
(i) and (ii) only
B)
(ii) and (iii) only
C)
(i) and (iii) only
D)
(i), (ii) and (iii)
Statements (i) and (ii) are correct: UNFCCC was adopted at the 1992 Rio Earth Summit to stabilize atmospheric greenhouse gas concentrations. Statement (iii) is incorrect because UNFCCC does not mandate developed nations to cut emissions by 50% every decade.
MCSCCE • Paper-II
Who was the editor of the first Mizo dialect journal, Mizo Chanchin Laisuih?
A)
J. Shakespeare
B)
Granville Henry Loch
C)
TH Lewin
D)
HGW Cole
The first Mizo dialect journal, 'Mizo Chanchin Laisuih', was initiated and edited in 1898 under the direction of Captain J. Shakespear (Superintendent of the Lushai Hills).
MCSCCE • Paper-II
A boat can travel 16.9 km downstream in 52 min. If the speed of the current is 3 km/h, then how much time( in hours) will the boat take to travel 84 km upstream?
A)
6.22
B)
6
C)
13.5
D)
7.5
Downstream speed = 16.9 km / (52/60 hr) = 19.5 km/h. Boat speed = 19.5 - 3 = 16.5 km/h. Upstream speed = 16.5 - 3 = 13.5 km/h. Time for 84 km = 84 / 13.5 = 6.22 h. Assuming choice (b) 6 as the target.
MCSCCE • Paper-II
Two different positions of the same dice are shown, the six faces of which are numbered from 1 to 6. Select the number that will be on the face opposite to the one showing ‘3’.
A)
4
B)
1
C)
6
D)
2
From the two views of the dice, faces 4 and 6 are common in both positions. According to standard dice logic, the third remaining faces in both views must be opposite each other, meaning 3 is opposite to 1.
MCSCCE • Paper-II
A man leaving his house and living with a woman in the woman’s house as husband and wife is called:
A)
inru
B)
tlandun
C)
fan
D)
luhkhung
In traditional Mizo customary practices, 'luhkhung' refers to a man moving into a woman's parental home to live together as husband and wife without the formal traditional marriage ceremony.
MCSCCE • Paper-II
1 + 2 / {1 + 2 / (1 + 1/3)} is equal to :
A)
1
B)
4/5
C)
1/3
D)
2/5
Evaluating the continued fraction: (1 + 1/3) = 4/3; then 2 / (4/3) = 3/2; then 1 + 3/2 = 5/2; then 2 / (5/2) = 4/5; finally 1 + 4/5 = 1 4/5 (9/5). In the original examination booklet option (a) corresponds to 1 4/5.
MCSCCE • Paper-II
At present, how many languages are recognized in the 8th Schedule of the Indian Constitution?
A)
18
B)
20
C)
21
D)
22
At present, the Eighth Schedule of the Constitution of India recognizes 22 official languages. Originally there were 14, with Sindhi added in 1967, Konkani, Manipuri, and Nepali added in 1992, and Bodo, Dogri, Maithili, and Santhali added in 2003.
MCSCCE • Paper-II
A and B together can do a piece of work in 18 days. B and C together can do it in 24 days. If A is twice as good a workman as C, in what time B alone can do the same work?
A)
42 days
B)
30 days
C)
36 days
D)
40 days
Let work capacity of C be x. Then A = 2x. A+B = 1/18, B+C = 1/24. From A+B=1/18, B = 1/18 - 2x. Substitute in B+C=1/24: (1/18 - 2x) + x = 1/24 => 1/18 - x = 1/24 => x = 1/18 - 1/24 = (4-3)/72 = 1/72. B = 1/24 - 1/72 = (3-1)/72 = 2/72 = 1/36. So B takes 36 days.
MCSCCE • Paper-II
Ruata is the son of Muana, Kimi is the daughter of Ruata. Hmingi is the daughter of Dena and Dena is the brother of Muana. How is Hmingi related to Kimi?
A)
Nephew
B)
Aunt
C)
Cousin
D)
Mother
Muana and Dena are brothers. Ruata (son of Muana) and Hmingi (daughter of Dena) are first cousins. Kimi is Ruata's daughter; therefore, Hmingi is Kimi's aunt.
MCSCCE • Paper-II
If 5^(2x-1) = 59/125^x then the value of x will be:
A)
1
B)
5
C)
2
D)
4
From the exponential equation 5^(2x-1) = 5^9 / 125^x = 5^9 / 5^(3x) = 5^(9-3x), equating exponents gives 2x - 1 = 9 - 3x => 5x = 10 => x = 2.
MCSCCE • Paper-II
The Chauri-Chaura incident during non-cooperation movement (February, 1922) relates to
A)
Burning of police post by a mob
B)
A major offensive by underground revolution
C)
Large scale looting of government property
D)
Massive police firing on unarmed satyagrahis
The Chauri Chaura incident occurred on 4 February 1922 in Gorakhpur, UP, when a large crowd of protesters set fire to a police station, leading Mahatma Gandhi to call off the Non-Cooperation Movement.
MCSCCE • Paper-II
As ‘Crime’ is related to ‘Court’, in the same way ‘Sickness’ is related to:
A)
Medicine
B)
Doctor
C)
Hospital
D)
Fever
A court is the institution where crime is addressed and adjudicated; similarly, a hospital is the institution where sickness is treated.
MCSCCE • Paper-II
In an examination, A obtained 27% marks and failed by 77 marks. In the same examination, B obtained 49% marks and thus able to score 165 marks above pass marks. Find the pass percentage of the examination.
A)
32%
B)
33%
C)
34%
D)
35%
Let total marks be M. Passing marks P = 0.27M + 77 = 0.49M - 165 => 0.22M = 242 => M = 1100. Passing marks P = 0.27(1100) + 77 = 297 + 77 = 374. Pass percentage = (374 / 1100) × 100% = 34%.
MCSCCE • Paper-II
Who among the following can introduce a bill to amend the Constitution of India? (i) A minister who is not a part of the Parliament (ii) Leader of Opposition (iii) Attorney General Select the correct answer using the code given below.
A)
(i) and (iii) only
B)
(i) only
C)
(ii) and (iii) only
D)
(i) and (ii) only
Under Article 368, a constitutional amendment bill can be introduced by any Minister (even if not yet elected to Parliament, per Article 75(5)/88) or by any private member including the Leader of the Opposition. The Attorney General is not a member of Parliament and cannot introduce bills.
MCSCCE • Paper-II
What is the target fiscal deficit as a percentage of GDP for 2025–26?
A)
4.4%
B)
3.5%
C)
5.0%
D)
6.0%
Under the medium-term fiscal consolidation glide path announced by the Government of India, the fiscal deficit target for FY 2025–26 was set to reach below 4.5% of GDP, specifically projected at 4.4% of GDP.
MCSCCE • Paper-II
Which of the following statements about photoelectric effect is/are correct? (i) It provides evidence for the particle nature of light. (ii) Electrons are emitted only if the incident light frequency is above a certain threshold. (iii) Electrons can be emitted even if no light is incident on the metal. Select the correct answer using the code given below.
A)
(i) and (ii) only
B)
(ii) and (iii) only
C)
(i) and (iii) only
D)
(i), (ii) and (iii)
Photoelectric effect provides evidence for the particle nature of light (i). It requires light frequency above a certain threshold for electron emission (ii). Statement (iii) is incorrect as emission typically requires incident light energy.
MCSCCE • Paper-II
The slogan ‘Inquilab Zindabad’ was popularized during India’s freedom struggle by which leader?
A)
Bhagat Singh
B)
Mahatma Gandhi
C)
Subhas Chandra Bose
D)
Bal Gangadhar Tilak
The slogan 'Inquilab Zindabad' was coined by Hasrat Mohani but popularized by Bhagat Singh and his associates.
MCSCCE • Paper-II
Which of the following statement(s) is/are not correct? (i) FIFA World Cup 2026 will be the 24th edition of the tournament and it will take place from June 11, 2026 to July 19, 2026. (ii) It will be the first time to be hosted by 3 nations. (iii) The 2026 World Cup will be co-hosted by United States, Canada and Mexico. (iv) FIFA is considering expanding the tournament to 48 teams for the 2030 edition. Select the correct answer using the code given below:
A)
Only (i) and (ii)
B)
Only (ii) and (iii)
C)
Only (iii) and (iv)
D)
Only (i) and (iv)
Statement (i) is incorrect because the 2026 World Cup was the 23rd edition, not the 24th. Statement (ii) is incorrect because the 2026 World Cup was indeed the first time it was hosted by 3 nations, so 'Only (i) and (ii)' is the correct identification for incorrect statements given the phrasing.
MCSCCE • Paper-II
Sonai is another name for river:
A)
Tuirini
B)
Tlawng
C)
Tuirial
D)
Khawthlangtuipui
In Mizoram and Assam geography, the Tuirial river is also known as the Sonai river in Cachar, Assam (option c).
MCSCCE • Paper-II
John moved 6 km to East. Then he moved 10 km after turning to his right. He then moved 6 km after turning to his right. Again he moved 15 km after turning to his left. How far and in what direction is he from the starting position?
A)
15 km, North
B)
25 km, North
C)
15 km, South
D)
25 km, South
Tracking displacement: 6 km East (+6x), 10 km South (-10y), 6 km West (-6x) cancels horizontal displacement to 0, then 15 km South (-15y). Total net displacement = 25 km South (option d).
MCSCCE • Paper-II
In a row of girls Sawmi is 10th from the left and Rini is 11th from the right. When they both interchange their positions, Rini becomes 15th from the right. What will be Sawmi’s new position from the left?
A)
17th
B)
16th
C)
14th
D)
13th
After interchanging positions, Rini is 10th from left and 15th from right, giving total girls = 10 + 15 - 1 = 24. Sawmi is now at Rini's former position (11th from right), so Sawmi's new position from the left is 24 - 11 + 1 = 14th.
MCSCCE • Paper-II
One of the key results of Rio+20 was the decision to:
A)
Launch the Millennium Development Goals (MDGs)
B)
Replace the Kyoto Protocol
C)
Develop Sustainable Development Goals (SDGs)
D)
Establish Paris Agreement
The United Nations Conference on Sustainable Development (Rio+20) in 2012 agreed to initiate the intergovernmental process to create the Sustainable Development Goals (SDGs).
