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
When a clock shows the time 7 : 20, what is the angle between its minute hand and the hour hand?
A)
60°
B)
80°
C)
100°
D)
120°
The angle between the clock hands at H hours and M minutes is given by |30H - 5.5M|. For 7:20: |30(7) - 5.5(20)| = |210 - 110| = 100°.
MCSCCE • Paper-II
A sum of 7500 is invested in scheme offering r% compound interest for 2 years. Find the value of ‘r’ if the difference in the simple interest and compound interest for the same amount at the same rate of interest after 2 years is 108.
A)
10%
B)
12%
C)
14%
D)
16%
Difference in CI and SI for 2 years = P * (r/100)^2. 108 = 7500 * (r/100)^2. (r/100)^2 = 108/7500 = 0.0144. r/100 = 0.12, r=12%. Option (b) 12% is correct.
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
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
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
Gaza strip lies along the coast of
A)
Dead Sea
B)
Mediterranean Sea
C)
Persian Gulf
D)
Red Sea
The Gaza Strip is a small Palestinian territory located on the eastern coast of the Mediterranean Sea.
MCSCCE • Paper-II
With respect to Lakpati Didi Scheme, consider the following: (i) It is implemented by Ministry of Rural Development. (ii) Its goal is to increase the annual household income of SHG women to at least 1 lakh. (iii) It is an initiative and an outcome of DAY-NULM. Based on the code given below, select the correct statement:
A)
(i) and (ii) only
B)
(ii) and (iii) only
C)
(i) and (iii) only
D)
(i), (ii) and (iii)
Under the Lakhpati Didi initiative: (i) It is implemented by the Ministry of Rural Development; (ii) It aims to enable rural women self-help group members to earn at least ₹1 lakh annually; (iii) It is an initiative of DAY-NRLM (National Rural Livelihoods Mission), not DAY-NULM (National Urban Livelihoods Mission). Thus, only (i) and (ii) are correct.
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 101st Constitutional Amendment Act deals with:
A)
National Commission for Backward Classes
B)
Reservation for Economically weaker sections
C)
Reservation for women
D)
Goods & Services Tax
The 101st Constitutional Amendment Act (2016) introduced the Goods and Services Tax (GST) in India (option d).
MCSCCE • Paper-II
The sum of all 2-digits number divisible by 3, is:
A)
1678
B)
1458
C)
1669
D)
1665
The two-digit numbers divisible by 3 are 12, 15, ..., 99. This is an AP with a = 12, d = 3, l = 99. Number of terms n = (99 - 12)/3 + 1 = 30. Sum S = (30/2) * (12 + 99) = 15 * 111 = 1665 (option d).
MCSCCE • Paper-II
24 litres of a mixture contains milk and water in the ratio 5:3. Then the amount of milk to be added to the mixture so as to have milk and water in the ratio 5:1 is:
A)
27 litre
B)
30 litre
C)
20 litre
D)
36 litre
Initial mix: 24L, 5:3 ratio (15L milk, 9L water). Target ratio 5:1. Let added milk be 'x'. (15+x)/9 = 5/1 => 15+x = 45 => x = 30L.
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
Trade tariff escalations primarily affect export-heavy non-essential manufacturing sectors: (i) Textiles, (ii) Gems/Jewellery, and (iv) Agriculture (option c).
MCSCCE • Paper-II
The Ganga river passes through which among the following states of India? (i) Madhya Pradesh (ii) Uttarakhand (iii) Jharkhand (iv) West Bengal Choose the correct option from the code given below:
A)
(i) and (ii)
B)
(i), (ii) and (iii)
C)
(ii), (iii) and (iv)
D)
(i), (ii), (iii) and (iv)
The main stem of the Ganga flows through Uttarakhand, Uttar Pradesh, Bihar, Jharkhand (along the border of Sahibganj district), and West Bengal. It does not flow directly through Madhya Pradesh. Hence (ii), (iii) and (iv) (option c).
MCSCCE • Paper-II
In every village, there was a village-writer (khawchhiar) appointed by the:
A)
Superintendent to help the Chief
B)
Chief to help himself/herself as and when required
C)
Elders (Upa) to help the Chief
D)
Chief to help the Village Elders (Khawnbawl Upa)
In the traditional administrative system of Mizo villages, the 'Khawchhiar' (village-writer) was appointed by the Chief. The primary role of the Khawchhiar was to assist the Village Elders (Khawnbawl Upa) in maintaining records and managing administrative tasks.
- Option (d) is correct because it accurately reflects the hierarchical relationship where the Chief appointed the writer to support the council of elders.
- Option (a) is incorrect because the 'Superintendent' is a modern administrative role and not part of the traditional village appointment system.
- Option (b) is incorrect because the Khawchhiar's role was specifically tied to the administrative functioning of the village council, not just personal assistance to the Chief.
- Option (c) is incorrect because the power of appointment rested with the Chief, not the Elders.
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
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
Initial total = 45 * 70 = 3150. Wrong entries: 40+75 = 115. Correct entries: 90+70 = 160. Difference = 160 - 115 = 45. Correct total = 3150 + 45 = 3195. Correct average = 3195 / 45 = 71.
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
The 2nd, 31st and the last terms of an AP are 3/4, 1/2 and -6 respectively. The total number of terms in this AP is:
A)
60
B)
59
C)
58
D)
61
T2 = a + d = 3/4 and T31 = a + 30d = 1/2. Solving gives d = -1/116, a = 88/116. Using Tn = a + (n-1)d = -6 gives n = 59 terms (option b).
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
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
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
The least value of 2sin^2θ + 3cos^2θ is:
A)
3
B)
4
C)
1
D)
2
Rewriting the expression: 2*sin^2(θ) + 3*cos^2(θ) = 2*(sin^2(θ) + cos^2(θ)) + cos^2(θ) = 2 + cos^2(θ). Since 0 <= cos^2(θ) <= 1, the minimum value is 2 + 0 = 2 (at θ = 90°).
MCSCCE • Paper-II
Consider the following statements: (i) The UN General Assembly declared 2025 as the International Year of Cooperation (IYC). (ii) The theme is ‘Cooperatives Build a Better Nation’. (iii) The IYC 2025 aims to bring uniformity, transparency and efficiency to PACS. PACS here means Productivity for Agricultural Credit Societies. (iv) India’s first national-level cooperative university was inaugurated in Anand, Rajasthan in July, 2025. Select the current statement (s) based on the code given below:
A)
(i), (ii) and (iii)
B)
(ii), (iii) and (iv)
C)
(i), (iii) and (iv)
D)
(i), (ii) and (iv)
Let's analyze the statements:
(i) CORRECT: The UN General Assembly has indeed declared 2025 as the International Year of Cooperatives (IYC).
(ii) INCORRECT: The official theme for IYC 2025 is 'Cooperatives Build a Better World', not 'Better Nation'.
(iii) INCORRECT: While PACS refers to Primary Agricultural Credit Societies (not 'Productivity for Agricultural Credit Societies'), the IYC 2025 is a global UN initiative, whereas the computerization/transparency of PACS is a specific Indian government initiative.
(iv) INCORRECT: India's first national-level cooperative university is being established in Anand, Gujarat (not Rajasthan).
Since only statement (i) is correct and no option provides '(i) only', there is a discrepancy in the provided options. However, if forced to choose based on common exam errors where 'World' is swapped for 'Nation' or 'Gujarat' for 'Rajasthan', all options (a, b, c, d) contain at least two false statements. In a real exam scenario, this question would be contested. Based on the provided options, none are factually accurate.
MCSCCE • Paper-II
The ‘Evil Quartet’ refers to the primary causes of species extinction. Which of the following are included in it? (i) Habitat loss (ii) Overexploitation of species (iii) Introduction of invasive species (iv) Eutrophication Select the correct answer using the code below:
A)
(i), (ii) and (iii) only
B)
(i) and (iv) only
C)
(ii), (iii) and (iv) only
D)
All of the above
The 'Evil Quartet' includes Habitat loss, Overexploitation, Alien/Invasive species introduction, and Co-extinction. Eutrophication is not part of this specific term.
