MCSCCE • Paper-II
If the angles of elevation of the top of a tower from three collinear points A, B and C, on a line leading to the foot of the tower, are 30°, 45° and 60°, respectively, then the ratio, AB : BC, is:
A)
3: 2
B)
1: 3
C)
2:3
D)
3:1
Let the height of the tower be h. The distances of collinear points A, B, C from the base are h/tan 30° = h√3, h/tan 45° = h, and h/tan 60° = h/√3. Thus AB = h(√3 - 1) and BC = h(1 - 1/√3) = h(√3 - 1)/√3. The ratio AB : BC = h(√3 - 1) / [h(√3 - 1)/√3] = √3 : 1 (represented in the options as 3:1).
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
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
Which of the following about an ecosystem is/are correct? (i) Biotic components interact with abiotic factors of the ecosystem but they do not interact among themselves. (ii) Organisms present in the ecosystem interact with surrounding environment and exchange mass as well as energy with it. (iii) Decomposers are not a part of an ecosystem. Select the correct answer using the code given below.
A)
(ii) only
B)
(i) and (ii) only
C)
(ii) and (iii) only
D)
(i), (ii) and (iii)
Only statement (ii) is correct. Biotic components interact extensively among themselves (making (i) incorrect), and decomposers are an essential functional part of ecosystems (making (iii) incorrect).
MCSCCE • Paper-II
Which of the following enzymes of digestive system breaks down starch into sugar?
A)
Pepsin
B)
Protease
C)
Salivary amylase
D)
Lipase
Salivary amylase (also known as ptyalin), secreted by salivary glands in the mouth, initiates carbohydrate digestion by hydrolyzing complex starch into disaccharides like maltose.
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
The remainder when 2^100 is divided by 5 is:
A)
0
B)
1
C)
2
D)
3
Powers of 2 modulo 5 follow a cycle of length 4: 2^1=2, 2^2=4, 2^3=3, 2^4=1 (mod 5). Since 100 is divisible by 4 (100 = 4 * 25), 2^100 is congruent to (2^4)^25 = 1^25 = 1 (mod 5). Thus the remainder is 1.
MCSCCE • Paper-II
Consider the following statements in the context of Samudragupta’s reign: (i) Vishnusena eulogised the military expeditions of Samudragupta on a pillar at Allahabad. (ii) Chinese traveller Fa-hein visited the court of Samudragupta (iii) Samudragupta adopted the famous title ‘Vikramaditya’. Which of the statements given above is/are correct ?
A)
(ii) and (iii) only
B)
(ii) only
C)
(i) and (ii) only
D)
None
All three statements are historically incorrect: Harisena (not Vishnusena) composed the Allahabad inscription; Fa-hien visited during Chandragupta II's reign; and Chandragupta II adopted the title 'Vikramaditya'.
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).
MCSCCE • Paper-II
A person earns 20% on an investment but loses 25% on another investment. If the ratio of the two investments be 4:5, what is the gain or loss % on the investments taken together?
A)
5% profit
B)
5 % loss
C)
5.5 profit
D)
5.5 % loss
Let investments be 400 and 500 (total = 900). Gain on 1st = +20% of 400 = +80. Loss on 2nd = -25% of 500 = -125. Net result = 80 - 125 = -45 (loss). Overall loss % = (45 / 900) * 100 = 5% loss (option b).
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
Given a + b = 1/18 and b + c = 1/24, subtracting gives a - c = 1/72. Since a = 2c, c = 1/72 and a = 1/36. Thus b = 1/18 - 1/36 = 1/36, meaning B alone takes 36 days.
MCSCCE • Paper-II
Dama purchases a track suit for 2400 for cash or for 1000 cash down payments and two monthly installments of 800 each. The rate of the interest is:
A)
120%
B)
100%
C)
80%
D)
60%
Unpaid balance = ₹2400 - ₹1000 = ₹1400. Total paid in installments = 2 * ₹800 = ₹1600. Total interest = ₹200. Principal for 1st month = ₹1400; Principal for 2nd month = ₹1400 - ₹800 = ₹600. Total equivalent 1-month principal = ₹2000. Interest I = (P * R * T)/100 => 200 = (2000 * R * 1/12)/100 => 200 = (5/3)R => R = 120% per annum.
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 X be the total marks. 0.27X + 77 = 0.49X - 165. 0.22X = 242. X = 1100. Pass marks = 0.27 * 1100 + 77 = 297 + 77 = 374. Pass percentage = (374/1100) * 100 = 34%. Option provided: 34% (Option c).
MCSCCE • Paper-II
Which of the following conditions increases the rainfall during the Southwest Monsoon?
(i) Positive Indian Ocean Dipole
(ii) La Niña Condition in Pacific Ocean
(iii) Strengthening of the Siberian High
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)
Both a Positive Indian Ocean Dipole (+IOD) and La Nina conditions in the Pacific Ocean enhance monsoon rainfall over India. Hence (i) and (ii) only (option a).
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
Captain J. Shakespear (Superintendent of the Lushai Hills) was the editor and initiator of the first Mizo dialect journal, 'Mizo Chanchin Laisuih', published in August 1898.
MCSCCE • Paper-II
The Monetary Policy Committee (MPC) determines the policy interest rate required to achieve the inflation target. In this context, which of the following may be recommended by the MPC to control deflation in the economy?
(i) Increase in Cash Reserve Ratio (CRR)
(ii) Increase in Bank rate
(iii) Decrease in Reverse Repo Rate
Select the correct answer using the code given below.
A)
(i) and (ii) only
B)
(iii) only
C)
(ii) and (iii) only
D)
(i), (ii) and (iii)
To combat deflation, the central bank implements expansionary monetary policy. Decreasing the reverse repo rate discourages commercial banks from parking excess funds with the RBI and encourages credit lending. Increasing CRR or Bank Rate contracts liquidity (used for inflation). Thus, (iii) only is correct.
MCSCCE • Paper-II
In August 2025, the United States imposed a 50% tariff on select Indian imports, citing India’s continued purchases of Russian oil as a primary reason. Which of the following sectors were most affected by this tariff?
(i) Textiles and Apparel
(ii) Jewellery and Precious Stones
(iii) Pharmaceuticals and Medical Devices
(iv) Agricultural Products.
Select the correct answer using the code below:
A)
(i) and (ii) only
B)
(ii) and (iv) only
C)
(i), (ii), and (iv) only
D)
All of the above
High-tariff punitive measures on Indian goods directly impact price-sensitive export sectors: Textiles, Jewellery/Gems, and Agricultural produce, while Pharma is generally safeguarded or subject to distinct strategic regulatory standards. Hence (i), (ii), and (iv) only (option c).
MCSCCE • Paper-II
Choose the odd word from the following list of words:
A)
Scare
B)
Bountiful
C)
Abundant
D)
Copious
Bountiful, Abundant, and Copious are all synonyms meaning 'plentiful'. 'Scare' is unrelated in meaning.
MCSCCE • Paper-II
The number of students in 3 classes is in the ratio 6 : 7 : 8. If 15 students are increased in each class this ratio changes to 9 : 10 : 11. What is the total number of students in the three classes in the beginning?
A)
90
B)
112
C)
105
D)
75
Let initial student counts be 6x, 7x, 8x. The increase of 15 students shifts the ratio to 9:10:11. The difference of (9 - 6) = 3 units corresponds to 15, so x = 5. Total initial students = (6 + 7 + 8) * 5 = 21 * 5 = 105.
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 14, with additions made by the 21st, 71st, and 92nd Constitutional Amendment Acts).
MCSCCE • Paper-II
The point deep within the earth’s crust where an earthquake’s energy is released is called:
A)
Epicenter
B)
Focus
C)
Fault
D)
Foreshocks
The point within the earth where the earthquake originates and energy is released is called the 'focus' (or hypocenter), while the point directly above it on the surface is the 'epicenter'.
MCSCCE • Paper-II
What will come in place of question mark (?)?
W1A, S2B, O5C, K16D, ?
A)
F67E
B)
G65E
C)
E65E
D)
H66E
Letters: W-S-O-K-G (-4). Numbers: 1*1+1=2, 2*2+1=5, 5*3+1=16, 16*4+1=65. Letters: A, B, C, D, E. G65E.
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 house and cohabiting there as husband and wife without the formal traditional marriage ceremony (matrilocal entry).
MCSCCE • Paper-II
Which category of waves enables bats to employ echolocation for spatial navigation and prey detection in darkness?
A)
Radio waves
B)
Ultrasonic sound waves
C)
Infrared waves
D)
Microwaves
Bats emit high-frequency ultrasonic sound waves and listen to the returning echoes to navigate and detect prey in the dark.
MCSCCE • Paper-II
The average marks of 45 students was found to be 70. If the marks of two students were incorrectly entered as 40 and 75 instead of 90 and 70 respectively, then what is the correct average?
A)
69
B)
70
C)
70.5
D)
71
Original sum of marks = 45 * 70 = 3150. Corrected sum = 3150 - (40 + 75) + (90 + 70) = 3150 - 115 + 160 = 3195. Corrected average = 3195 / 45 = 71.
