MCSCCE • 2023 • Paper-II (B)
The number of planks of dimensions (4m × 5m × 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
Volume of the pit = 40 m × 12 m × 160 m = 76,800 m³. Volume of one plank = 4 m × 5 m × 2 m = 40 m³. Total number of planks that can be stored = 76,800 / 40 = 1,920.
MCSCCE • 2023 • Paper-II (B)
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
The pattern is: (Sum of digits of (First Number + Second Number)) * 11 = Third Number. For 23, 5: 23+5 = 28 -> (2+8)*11 = 110. For 56, 9: 56+9 = 65 -> (6+5)*11 = 121. For 49, 3: 49+3 = 52 -> (5+2)*11 = 77.
MCSCCE • 2023 • Paper-II (B)
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 meaningful sequence for a formal meeting or proceeding is: Arrival (3) -> Introduction (5) -> Presentation (1) -> Discussion (4) -> Recommendation (2), which corresponds to 3, 5, 1, 4, 2.
MCSCCE • 2023 • Paper-II (B)
The G.C.D and L.C.M of two polynomials p(x) and q(x) are x(x+a) and 12x²(x+a)(x²-a²) respectively. If p(x) = 3x(x+a)², find q(x).
A)
4x(x²+a²)
B)
4x²(x²-a²)
C)
3x²(x²-a²)
D)
5x²(x²-a²)
To solve this problem, we use the fundamental property of polynomials that relates the Greatest Common Divisor (GCD) and the Least Common Multiple (LCM) of two polynomials, p(x) and q(x):
Property: p(x) × q(x) = GCD(p(x), q(x)) × LCM(p(x), q(x))
Given values:
1. GCD = x(x + a)
2. LCM = 12x²(x + a)(x² - a²)
3. p(x) = 3x(x + a)²
Substitute these into the formula:
3x(x + a)² × q(x) = [x(x + a)] × [12x²(x + a)(x² - a²)]
Simplify the right side of the equation:
3x(x + a)² × q(x) = 12x³(x + a)²(x² - a²)
Now, solve for q(x) by dividing both sides by 3x(x + a)²:
q(x) = [12x³(x + a)²(x² - a²)] / [3x(x + a)²]
Perform the division:
- The coefficients: 12 / 3 = 4
- The x terms: x³ / x = x²
- The (x + a) terms: (x + a)² / (x + a)² = 1
- The remaining term: (x² - a²)
Therefore, q(x) = 4x²(x² - a²).
Comparing this result with the given options:
- Option (a) 4x(x²+a²) is incorrect.
- Option (b) 4x²(x²-a²) matches our result.
- Option (c) 3x²(x²-a²) is incorrect.
- Option (d) 5x²(x²-a²) is incorrect.
MCSCCE • 2023 • Paper-II (B)
You are a teacher in a University and are setting a question paper on a particular subject. One of your colleagues, whose son is preparing for the examination on that subject, comes to you and informs you that it is his son’s last chance to pass that examination and whether you could help him by indicating what questions are going to be in the examination. In the past, your colleague had helped you in another matter. Your colleague informs you that his son will suffer from depression if he fails in this examination. In such circumstances, what would you do?
A)
In view of the help he had given you, extend your help to him.
B)
Regret that you cannot be of any help to him.
C)
Explain to your colleague that this would be violating the trust of the University authorities and you are not in a position to help him.
D)
Report the conduct of your colleague to the higher authorities
Exam confidentiality and academic integrity are paramount ethical duties. The correct and professional course of action is to decline the request firmly and explain that leaking question details violates institutional trust.
MCSCCE • 2023 • Paper-II (B)
The ability to diagnose understand and manage emotional cues refers to
A)
Self-evaluation
B)
Emotional competence
C)
Emotional Intelligence
D)
None of these
Emotional Intelligence (EI) is defined as the ability to perceive, diagnose, understand, and effectively regulate and manage emotional cues and information in oneself and others.
MCSCCE • 2023 • Paper-II (B)
Interpersonal skill is the ability to communicate and __________ other people.
A)
Convince
B)
Interact with
C)
Persuade
D)
Control
Interpersonal skills comprise the range of behaviors and communicative abilities required to interact effectively and harmoniously with other people.
MCSCCE • 2023 • Paper-II (B)
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
Ordering: 1. Ngura (highest), 2. Lala, 3. Khuma, 4. Siama, 5. Para. Ngura is the highest.
MCSCCE • 2023 • Paper-II (B)
A cube has six different symbols drawn over its six faces. The symbols are dot, circle, triangle, square, cross and arrow. Three different positions of the cube are shown in figures X,Y, and Z. Which symbol is opposite the dot?
A)
Circle
B)
Triangle
C)
Arrow
D)
Cross
From the given views of the cube, the four faces adjacent to the dot are circle, triangle, square, and arrow. Therefore, the face opposite the dot must be the cross.
MCSCCE • 2023 • Paper-II (B)
Communication is a __________ process
A)
One-way
B)
Two-way
C)
Mutual
D)
Both (b) and (c)
Communication is inherently a two-way process requiring transmission and feedback, and a mutual process aimed at achieving shared understanding between the sender and receiver.
MCSCCE • 2023 • Paper-II (B)
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
Effective 2-year CI rate at 12% = 25.44%. Principal = (228.96 / 25.44) * 100 = Rs. 900 (option d).
MCSCCE • 2023 • Paper-II (B)
In a mixture of 120 litres, the ratio of milk and water is 2:1. What amount of water must be added to make the ratio of milk and water as 1:2?
A)
40 litres
B)
80 litres
C)
100 litres
D)
120 litres
Initial: Milk=80, Water=40. To get 1:2 ratio, 80/Water_new = 1/2 => Water_new=160. Total added water = 160-40=120. (Given options might be slightly varied or based on a typo, assuming 120 is the target, will mark as c)
MCSCCE • 2023 • Paper-II (B)
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 = 384 man-days = 768 woman-days, so 1 man = 2 women. The rate of 16 men and 16 women is 24/384 = 1/16 per day. In 12 days, they complete 12/16 = 3/4 of the work, leaving 1/4 work. To finish 1/4 in 2 days requires a rate of 1/8 per day = 48 men equivalent. Since the existing group equals 24 men, 48 - 24 = 24 additional men are required.
MCSCCE • 2023 • Paper-II (B)
A strong, firm handshake when greeting people signifies
A)
Aggressiveness
B)
Confidence
C)
Disinterest
D)
Dominance
A firm and steady handshake conveys confidence, openness, and trustworthiness in interpersonal interactions.
MCSCCE • 2023 • Paper-II (B)
In a group of persons, 50 people speak English, 20 people speak Mizo and 10 speak both English and Mizo. How many speak at least one of these languages?
A)
10
B)
20
C)
50
D)
60
Using the formula for the union of two sets: n(English ∪ Mizo) = n(English) + n(Mizo) - n(English ∩ Mizo) = 50 + 20 - 10 = 60. Therefore, 60 people speak at least one of these languages.
MCSCCE • 2023 • Paper-II (B)
Puii ranks 18th in a class of 49 students. What is rank from the last ?
A)
31
B)
18
C)
32
D)
19
Rank from the last = (Total students - Rank from top) + 1 = (49 - 18) + 1 = 31 + 1 = 32.
MCSCCE • 2023 • Paper-II (B)
Problem figures: Select the correct answer figure from the options provided.
A)
(a)
B)
(b)
C)
(c)
D)
(d)
The number of arrows in each frame follows the progression 1, 2, 2, 3, 3, so the next frame requires 4 arrows. The alternating direction sequence is Right, Left, Right, Left, Right, which means the 6th frame must have arrows pointing Left. Figure (a) has exactly 4 arrows all pointing to the left.
MCSCCE • 2023 • Paper-II (B)
12 year old Siami is three times as old as her brother Liana. How old will Siami be when she is twice as old as Liana?
A)
14 years
B)
16 years
C)
20 years
D)
18 years
Siami's current age = 12, so Liana's current age = 12 / 3 = 4. The age difference is 12 - 4 = 8 years. When Siami is twice as old as Liana (S = 2L), since S - L = 8, we get 2L - L = 8 => L = 8, making Siami S = 16 years old.
MCSCCE • 2023 • Paper-II (B)
How many terms are there in the AP 7, 13, 19, …, 205?
A)
20
B)
42
C)
34
D)
27
For the arithmetic progression 7, 13, 19, ..., 205, the first term a = 7 and common difference d = 6. Using a_n = a + (n - 1)d: 205 = 7 + (n - 1) * 6 => 198 = 6(n - 1) => n - 1 = 33 => n = 34 terms.
MCSCCE • 2023 • Paper-II (B)
Eye contact, physical proximity, touch and facial expression are different elements of what interpersonal skill?
A)
Body Language
B)
Verbal skills
C)
Teamwork
D)
Empathy
Eye contact, physical proximity (proxemics), touch (haptics), and facial expressions are key non-verbal elements comprising Body Language.
MCSCCE • 2023 • Paper-II (B)
Five children take part in a tournament. Each one has to play every other one. How many games must they play?
A)
6
B)
8
C)
10
D)
12
In a single round-robin tournament with n = 5 children where each plays every other child once, the total number of games is given by combinations C(5, 2) = (5 * 4) / 2 = 10.
MCSCCE • 2023 • Paper-II (B)
Kima left home and cycled 10 km southwards, turned right and cycled 5 km & turned right and cycled 10 km and turned left and cycled 10 km. How many kilometers will he have to cycle to reach his home straight?
A)
10 km
B)
15 km
C)
20 km
D)
25 km
Displacement: South 10, Right (West) 5, Right (North) 10, Left (West) 10. Net: 15 km West, 0 North/South. Distance is 15 km.
MCSCCE • 2023 • Paper-II (B)
I travel to work by bus and train. If my bus journey takes 28 minutes and my train journey takes 35 minutes longer, what is the total travelling time in hours and minutes?
A)
1 hour 31 minutes
B)
2 hours
C)
1 hour 10 minutes
D)
2 hours 10 minutes
Bus journey = 28 min. Train journey = 28 + 35 = 63 min. Total time = 28 + 63 = 91 minutes = 1 hour 31 minutes.
MCSCCE • 2023 • Paper-II (B)
Find the value of √80 + √3245 - √125.
A)
20√5
B)
5√2
C)
20√2
D)
5√5
Simplifying the radical terms: √80 = 4√5, 3√245 = 3 × 7√5 = 21√5, and √125 = 5√5. Thus, 4√5 + 21√5 - 5√5 = (4 + 21 - 5)√5 = 20√5.
MCSCCE • 2023 • Paper-II (B)
Lali knew that to apologise would be __________ to admitting she had failed
A)
Equate
B)
Assumed
C)
Tantamount
D)
Abrogate
'Tantamount' means equivalent in seriousness to; virtually the same as.
