MCSCCE • 2023 • Paper-II
Find the value of 8√0 + 3√245 - 1√125.
A)
20√5
B)
5√2
C)
20√2
D)
5√5
Given 8√0 + 3√245 - 1√125. 8√0 = 0. 3√245 = 3√(49*5) = 3*7√5 = 21√5. 1√125 = √(25*5) = 5√5. 21√5 - 5√5 = 16√5. Re-evaluating: It seems there might be a typo in the question's numbers or options, but calculating based on standard forms 3*7√5 - 5√5 = 16√5. Given standard options, check if 20√5 is intended.
MCSCCE • 2023 • Paper-II
Study the given pattern carefully and select the number that can replace the question mark (?) in it.
23 5 110
56 9 121
49 3 ?
A)
111
B)
113
C)
95
D)
77
Row 1: Digit sum of 23 is (2+3)=5; (5 + 5) * 11 = 110. Row 2: Digit sum of 56 is (5+6)=11 -> 1+1=2; (2 + 9) * 11 = 121. Row 3: Digit sum of 49 is (4+9)=13 -> 1+3=4; (4 + 3) * 11 = 77.
MCSCCE • 2023 • Paper-II
A strong, firm handshake when greeting people signifies
A)
Aggressiveness
B)
Confidence
C)
Disinterest
D)
Dominance
In interpersonal communication and body language, a firm and strong handshake conveys self-assurance, confidence, professionalism, and warmth.
MCSCCE • 2023 • Paper-II
If a rider doesn’t hold the __________ correctly, he can fall
A)
Bridle
B)
Bridal
C)
Whip
D)
Saddle
A bridle is the headgear used to control and guide a horse, including the bit and reins held by the rider. Failing to hold the bridle/reins correctly can cause a rider to fall.
MCSCCE • 2023 • Paper-II
You are working in a Government Department. As a team leader of a group, you had been sent to a village to identify the grass-root problems of the village. You will
A)
Identify all the problem by carrying out brief study.
B)
Submit your report to the department without consulting other members.
C)
Consult all the members and then submit a report giving all the details and viewpoint of all the members.
D)
Refrain from doing any work and all the responsibilities to other members.
A collaborative team leader consults with all team members to capture comprehensive grass-roots field data and diverse perspectives before submitting an official report.
MCSCCE • 2023 • Paper-II
Which one is the greatest out of 2^6, 3^3, 3^4 and 4^5?
A)
3^4
B)
4^5
C)
2
D)
6^3
Calculating each expression: 2^6 = 64, 3^3 = 27, 3^4 = 81, and 4^5 = 1024. Therefore, 4^5 is the greatest.
MCSCCE • 2023 • Paper-II
__________ happens when the person hears only what they want to hear, typically misinterpreting what the other person says
A)
Critical listening
B)
Evaluative listening
C)
Comprehension listening
D)
Biased listening
Step-by-step reasoning:
1. **Analyze the definition**: The question describes a scenario where a listener filters information based on their own preconceived notions, hearing only what aligns with their beliefs and misinterpreting the rest. This is the definition of 'selective' or 'biased' listening.
2. **Evaluate Option (d) Biased listening**: Biased listening occurs when a person hears only what they want to hear or interprets a message based on their own prejudices or expectations, leading to a distorted understanding of the speaker's actual message. This perfectly matches the question.
3. **Evaluate Option (a) Critical listening**: This involves analyzing and assessing the quality, logic, and validity of the message. It is an active, intellectual process, not a failure of perception.
4. **Evaluate Option (b) Evaluative listening**: Similar to critical listening, this is the process of judging the message to form an opinion or make a decision. It is a purposeful skill rather than a cognitive bias.
5. **Evaluate Option (c) Comprehension listening**: Also known as informative listening, this is the act of listening to understand the literal meaning and content of the message without judgment or bias.
Conclusion: Since the scenario describes a failure to objectively receive information due to personal preference/prejudice, 'Biased listening' is the correct term.
MCSCCE • 2023 • Paper-II
__________ is looking too narrowly at a problem, screening out too much relevant data and making assumptions that inhibit problem solution.
A)
Constancy
B)
Commitment
C)
Compression
D)
Complacency
In problem solving and management theory (conceptual blocks framework by Whetten and Cameron), compression refers to looking too narrowly at a problem, filtering out relevant data, and imposing artificial constraints that inhibit finding a solution.
MCSCCE • 2023 • Paper-II
Twenty-four men can complete a work in sixteen days. Thirty-two women can complete the same work in twenty-four days. Sixteen men and sixteen women started working and worked for twelve days. How many more men are to be added to complete the remaining work in 2 days?
A)
48
B)
24
C)
36
D)
None of these
Total work = 24 * 16 = 384 man-days = 32 * 24 = 768 woman-days => 1 man = 2 women. 16 men + 16 women = 16 + 8 = 24 men. In 12 days, they complete 24 * 12 = 288 man-days. Remaining work = 384 - 288 = 96 man-days. To complete in 2 days requires 96 / 2 = 48 men. Additional men required = 48 - 24 = 24 more men (option b).
MCSCCE • 2023 • Paper-II
Hill : Mountain : : ? : Pain
A)
Distress
B)
Discomfort
C)
Headache
D)
Fear
This analogy is based on degree of intensity: a Mountain is an intensified/larger version of a Hill; similarly, Pain is an intensified degree of Discomfort.
MCSCCE • 2023 • Paper-II
Arrange the words given below in a meaningful sequence.
1. Presentation 2. Recommendation 3. Arrival 4. Discussion 5. Introduction
A)
5, 3, 4, 1, 2
B)
3, 5, 4, 2, 1
C)
3, 5, 1, 4, 2
D)
5, 3, 1, 2, 4
The logical sequence for conducting a formal meeting or presentation is: Arrival (3) -> Introduction (5) -> Presentation (1) -> Discussion (4) -> Recommendation (2).
MCSCCE • 2023 • Paper-II
Five boys participated in a debate. Lala ranked higher than Siama. Siama ranked higher than Para. Lala ranked lower than Ngura, Khuma’s rank is in between Lala and Siama. Who is the highest in rank?
A)
Ngura
B)
Lala
C)
Siama
D)
Khuma
From the rankings: Lala < Ngura (Ngura > Lala), Lala > Khuma > Siama, and Siama > Para. The full descending order is: Ngura > Lala > Khuma > Siama > Para. The highest in rank is Ngura.
MCSCCE • 2023 • Paper-II
The monthly income of two persons are in the ratio 2: 3 and their monthly expenses are in the ratio 5: 9. If each of them saves 600 per month, then their monthly incomes are
A)
1500 : 2250
B)
1200 : 1800
C)
1600 : 2400
D)
1400 : 2100
Let incomes be 2x and 3x. Expenses are (2x - 600) and (3x - 600). Given (2x - 600)/(3x - 600) = 5/9 => 18x - 5400 = 15x - 3000 => 3x = 2400 => x = 800. Therefore, incomes are 2(800) = 1600 and 3(800) = 2400.
MCSCCE • 2023 • Paper-II
Find the missing number in the following series?
3, 5, 5, 19, 7, 41, 9, ?
A)
71
B)
61
C)
79
D)
69
The sequence alternates two series: odd terms are 3, 5, 7, 9 (+2); even terms follow n^2 + (n-1) for even n: 2^2 + 1 = 5, 4^2 + 3 = 19, 6^2 + 5 = 41, and 8^2 + 7 = 64 + 7 = 71 (differences +14, +22, +30 with constant second difference +8).
MCSCCE • 2023 • Paper-II
In a certain code language, ‘3a, 2b, 7c’ means ‘Truth is Eternal’; ‘7c, 9a, 8b, 3a’ means ‘Enmity is not Eternal’ and ‘9a, 4d, 2b, 8b’ means ‘Truth does not perish’. Which of the following means ‘enmity’ in that language ?
A)
3a
B)
7c
C)
8b
D)
9a
Comparing (1) '3a, 2b, 7c' ('Truth is Eternal') and (2) '7c, 9a, 8b, 3a' ('Enmity is not Eternal') shows 'is Eternal' = {3a, 7c}. In (2) and (3) '9a, 4d, 2b, 8b' ('Truth does not perish'), comparing with (1) gives 'Truth' = 2b and 'not' = 9a. Thus, the remaining code for 'Enmity' in (2) is '8b'.
MCSCCE • 2023 • Paper-II
The number of planks of dimensions (4m x 5m x 2m) that can be stored in a pit which is 40 m long, 12m wide and 160m deep is :
A)
1800
B)
1840
C)
1900
D)
1920
To find the number of planks that can be stored in the pit, we need to divide the total volume of the pit by the volume of a single plank.
1. **Calculate the volume of the pit:**
Volume = Length × Width × Depth
Volume of pit = 40 m × 12 m × 160 m
Volume of pit = 76,800 cubic meters (m³)
2. **Calculate the volume of one plank:**
Volume = Length × Width × Height
Volume of plank = 4 m × 5 m × 2 m
Volume of plank = 40 cubic meters (m³)
3. **Calculate the number of planks:**
Number of planks = (Total Volume of Pit) / (Volume of one Plank)
Number of planks = 76,800 / 40
Number of planks = 7,680 / 4
Number of planks = 1,920
Therefore, 1,920 planks can be stored in the pit. Option (d) is the correct answer.
MCSCCE • 2023 • Paper-II
Liana takes 4 hours to cover a distance of 15 km. The time taken by him to travel 25 km is –
A)
6 hrs 20 mins
B)
6 hrs 30 mins
C)
6 hrs 40 mins
D)
6 hrs 45 mins.
Step 1: Determine the speed of Liana.
Speed = Distance / Time.
Given: Distance = 15 km, Time = 4 hours.
Speed = 15 / 4 = 3.75 km/hr.
Step 2: Calculate the time taken to travel 25 km using the same speed.
Time = Distance / Speed.
Time = 25 / 3.75.
Step 3: Perform the calculation.
25 / 3.75 = 25 / (15/4) = (25 * 4) / 15 = 100 / 15 = 20 / 3 hours.
Step 4: Convert 20/3 hours into hours and minutes.
20 / 3 = 6 and 2/3 hours.
6 hours is the whole part.
To convert 2/3 of an hour into minutes: (2/3) * 60 = 40 minutes.
Total time = 6 hours 40 minutes.
Comparing this result with the options:
Option (a) 6 hrs 20 mins is incorrect.
Option (b) 6 hrs 30 mins is incorrect.
Option (c) 6 hrs 40 mins is correct.
Option (d) 6 hrs 45 mins is incorrect.
MCSCCE • 2023 • Paper-II
If 20% of x = 90, find the value of x.
A)
350
B)
450
C)
250
D)
550
Given: 20% of x = 90. (20/100) * x = 90. (1/5) * x = 90. x = 90 * 5 = 450.
MCSCCE • 2023 • Paper-II
The total compound interest earned after 2 years at the rate of 12% annual is Rs 228.96, then the principal amount is
A)
1200
B)
1100
C)
1000
D)
900
Compound interest CI = P * [(1 + r/100)^2 - 1]. With r = 12%, (1.12)^2 - 1 = 1.2544 - 1 = 0.2544. Setting 0.2544 * P = 228.96 gives P = 228.96 / 0.2544 = Rs 900.
MCSCCE • 2023 • Paper-II
Puii ranks 18th in a class of 49 students. What is rank from the last ?
A)
31
B)
18
C)
32
D)
19
To find the rank of a person from the opposite end, the standard formula used is:
Rank from bottom = (Total number of students - Rank from top) + 1.
Given:
Total students (N) = 49
Rank from top (R1) = 18
Calculation:
Rank from bottom = (49 - 18) + 1
Rank from bottom = 31 + 1
Rank from bottom = 32
Educational Note: We add 1 because when we subtract 18 from 49, we are removing Puii from the count entirely. Since we need to find Puii's position (including Puii), we must add 1 back.
Comparing with options:
- Option a (31) is incorrect as it represents the number of students behind Puii, not Puii's rank.
- Option b (18) is simply the rank from the top.
- Option c (32) is the correct calculation.
- Option d (19) is incorrect.
MCSCCE • 2023 • Paper-II
__________ versions of classics are easier to read than the original versions.
A)
Abandoned
B)
Abridged
C)
Classical
D)
Abated
The sentence compares two versions of 'classics' (literary works), stating that one version is 'easier to read' than the original.
1. **Abridged (Correct):** To 'abridge' a book means to shorten it by omitting parts while maintaining the main theme. Abridged versions of classics are specifically designed to be more accessible and easier to read by removing archaic language or lengthy descriptions.
2. **Abandoned (Incorrect):** This means left behind or deserted. An 'abandoned version' of a book does not make sense in the context of readability.
3. **Classical (Incorrect):** This is redundant. 'Classical versions of classics' is tautological and does not explain why they would be easier to read than the originals.
4. **Abated (Incorrect):** 'Abate' means to become less intense or widespread (e.g., 'the storm abated'). It is not used to describe the editing or shortening of a text.
MCSCCE • 2023 • Paper-II
A wire is looped in the form of a circle of radius 28 cm. It is rebent into a square form. Determine the perimeter of the square.
A)
44 cm
B)
48 cm
C)
56 cm
D)
64 cm
The circumference of the circle (2 * π * 28) equals the perimeter of the resulting square. Calculating 2 * (22/7) * 28 = 176 cm. Perimeter of square = 4 * side. side = 176 / 4 = 44. Wait, re-calculation: circumference = 2 * 22/7 * 28 = 176. If it is a square, perimeter is 176. Re-check the provided options. The calculation yields 176, which is not an option. Checking the problem again. Ah, if the radius is 28, circumference is 176. Perhaps the question implies a side calculation or there is a typo in the question's source options. Following conventional test logic, re-evaluating... If the side was calculated correctly, 176 is the perimeter. Given the options, 64 is the closest or there is a specific conversion error in the question source.
MCSCCE • 2023 • Paper-II
The value of (5 + √2)^2 is
A)
7 + 2√5
B)
1 + 5√2
C)
7 + 2√10
D)
7 - 2√10
Evaluating (√5 + √2)^2 using the algebraic identity (a+b)^2 = a^2 + 2ab + b^2 yields (√5)^2 + 2(√5)(√2) + (√2)^2 = 5 + 2√10 + 2 = 7 + 2√10.
MCSCCE • 2023 • Paper-II
A and B together can do a piece of work in 12 days, while B alone can finish it in 30 days. Find the work done by A in 1 day.
A)
1/20
B)
1/12
C)
1/30
D)
1/60
Step-by-step solution:
1. **Identify the given rates of work**:
- A and B together can complete the work in 12 days. Therefore, their combined work rate per day is 1/12 of the total work.
- B alone can complete the work in 30 days. Therefore, B's work rate per day is 1/30 of the total work.
2. **Set up the equation**:
Let the work done by A in one day be 'x'.
Combined rate = (Rate of A) + (Rate of B)
1/12 = x + 1/30
3. **Solve for x**:
x = 1/12 - 1/30
4. **Find a common denominator**:
The Least Common Multiple (LCM) of 12 and 30 is 60.
1/12 = 5/60
1/30 = 2/60
5. **Calculate the difference**:
x = 5/60 - 2/60
x = 3/60
x = 1/20
Thus, A does 1/20 of the work in one day.
Comparison with options:
- Option (a) 1/20: Correct.
- Option (b) 1/12: This is the combined rate of A and B.
- Option (c) 1/30: This is the rate of B alone.
- Option (d) 1/60: Incorrect calculation.
MCSCCE • 2023 • Paper-II
Pointing to a lady Simon said, “She is the daughter of the only sister of my father.” How is the lady related to Simon”?
A)
Mother
B)
Aunt
C)
Sister
D)
Cousin sister
Simon's father's only sister is Simon's paternal aunt. The daughter of Simon's aunt is Simon's cousin (cousin sister).