MCSCCE • Paper-II-B
The distinction between tax avoidance and tax planning is blurred so is the demarcation line between
A)
tax avoidance and tax arbitrage
B)
tax avoidance and tax mitigation
C)
tax avoidance and tax neutral
D)
tax avoidance and tax evasion
In taxation principles, the critical legal demarcation lies between lawful tax avoidance and unlawful tax evasion (option d).
MCSCCE • Paper-II-B
No professional has been successful without effectively leading others. Thus, it is extremely imperative for you to know the qualities of a good leader. These are
A)
authority, command, and domination
B)
trust, motivation and mutual respect
C)
depends on whom you are dealing with
D)
all of these
Effective leadership in modern professional environments relies on positive, collaborative qualities such as building trust, motivating others, and demonstrating mutual respect.
MCSCCE • Paper-II-B
Variety of behaviour constructs used for research on leadership behaviour makes it difficult
A)
to enhance leadership behaviour
B)
to find a viable answer
C)
to evaluate leaders
D)
to contrast and integrate results
As established in the passage on leadership research, using diverse and fragmented behavioral constructs makes it difficult for scholars to contrast and integrate empirical research results across studies.
MCSCCE • Paper-II-B
Interpersonal skills include the ability to ………… and manage the emotions, motivations and behaviors of oneself and others during social interactions or in a social-interactive context
A)
Feel
B)
Read
C)
Criticize
D)
View
Interpersonal competence requires the skill to 'read' (accurately perceive and interpret) as well as manage the emotional and behavioral cues of oneself and others.
MCSCCE
What is the missing number? 56/7 = ? - 5
A)
7
B)
10
C)
13
D)
15
Solve: 56/7 = 8. Then, ? - 5 = 8. So, ? = 13.
MCSCCE
In a committee, 50 people speak French, 20 speak Spanish and 10 speak both Spanish and French. How many speak at least one of these languages?
A)
10
B)
60
C)
50
D)
80
Using the formula n(A U B) = n(A) + n(B) - n(A ∩ B) = 50 + 20 - 10 = 60.
MCSCCE
Which one of the following is not the sides of a right angled triangle?
A)
3 cm, 4 cm, 5 cm
B)
6 cm, 8 cm, 10 cm
C)
9cm, 12cm, 15cm
D)
11cm, 12cm, 17cm
By the Pythagorean theorem, for a right-angled triangle with legs a, b, and hypotenuse c, a^2 + b^2 = c^2. For 11 cm, 12 cm, and 17 cm: 11^2 + 12^2 = 121 + 144 = 265, whereas 17^2 = 289. Since 265 != 289, these sides cannot form a right-angled triangle.
MCSCCE
If x=2 is one of the roots of the equation kx² + 2x - 3 = 0, then the value of ‘k’ is -
A)
1/4
B)
-1/4
C)
4
D)
-4
Substituting x = 2 into kx² + 2x - 3 = 0 gives k(2)^2 + 2(2) - 3 = 0 => 4k + 1 = 0 => k = -1/4.
MCSCCE
Subtracting 7x +y from –x +y gives
A)
6x+2y
B)
8x+2y
C)
8x
D)
-8x
(-x + y) - (7x + y) = -x + y - 7x - y = -8x (option d).
MCSCCE
A wire is made into a rectangle of length 84 cm and breadth 70 cm. The same wire is made in to a circle. The radius of the circle is:
A)
48 cm
B)
45 cm
C)
47 cm
D)
49 cm
Perimeter of rectangle = 2 * (84 + 70) = 2 * 154 = 308 cm. Circumference of circle = 2 * (22/7) * r = 308 cm => r = (308 * 7) / 44 = 49 cm.
MCSCCE
The sum of the first 100 natural numbers is:
A)
4650
B)
5000
C)
5050
D)
4750
The sum of the first n natural numbers is given by n(n+1)/2. For n=100, sum = 100*101/2 = 50*101 = 5050.
MCSCCE
The present worth of Rs. 11025 due 1 year hence at 10% p.a, compounded half yearly is -
A)
Rs. 11000
B)
Rs. 10500
C)
Rs. 10000
D)
None of these
For interest compounded half-yearly at 10% p.a. over 1 year (r = 5%, n = 2 periods), Present Worth = Amount / (1 + r/100)^2 = 11025 / (1.05)^2 = 11025 / 1.1025 = Rs. 10,000.
MCSCCE
If oranges cost 5 for 75p how many can you buy for Rs. 2.70? (Assuming they can be bought singly)
A)
18
B)
19
C)
20
D)
21
Cost of 1 orange = 75 paise / 5 = 15 paise. Total budget = Rs. 2.70 = 270 paise. Number of oranges that can be purchased = 270 / 15 = 18.
MCSCCE
What is 454 divided by 0.2?
A)
5270
B)
4450
C)
3370
D)
2270
To solve 454 divided by 0.2, you can convert the decimal divisor into a whole number. Dividing by 0.2 is the same as dividing by 2/10, which is equivalent to multiplying by 10/2 (or multiplying by 5).
Step-by-step calculation:
1. 454 ÷ 0.2 = 454 ÷ (2/10)
2. 454 × (10/2) = 454 × 5
3. 454 × 5 = 2270
Alternatively, move the decimal point one place to the right for both numbers: 4540 ÷ 2 = 2270.
Options a, b, and c are incorrect because they do not result from the division of 454 by 0.2.
MCSCCE
What number group of numbers will come next in the given group of sequences: (2, 4), (3, 9), (4, 16), ..
A)
(5, 10)
B)
(5, 15)
C)
(5, 21)
D)
(5, 25)
Each group follows the rule (n, n^2): (2, 4), (3, 9), (4, 16). The next group in the sequence is (5, 5^2) = (5, 25).
MCSCCE
In ΔABC, AB = 6√3 cm, BC = 6 cm, AC = 12 cm. Then angle B is:
A)
60°
B)
120°
C)
45°
D)
90°
Calculating the square of the side lengths: AB^2 = (6√3)^2 = 108, BC^2 = 6^2 = 36, and AC^2 = 12^2 = 144. Since AB^2 + BC^2 = 108 + 36 = 144 = AC^2, by the Converse of Pythagoras Theorem, triangle ABC is right-angled at B (angle B = 90°).
MCSCCE
From a point Q, the length of tangent to a circle is 2√7 cm and the distance of Q from the centre of the circle is 8 cm. The radius of the circle is:
A)
6 cm
B)
11 cm
C)
12 cm
D)
15 cm
Tangent (T) = 2*sqrt(7), Distance (D) = 8. Radius (R) = sqrt(D^2 - T^2) = sqrt(64 - 4*7) = sqrt(64 - 28) = sqrt(36) = 6 cm.
MCSCCE
The formula for finding the curved surface area of a right circular cylinder is:
A)
2π r²h
B)
2π rh
C)
3π rh
D)
4π rh
The curved (lateral) surface area of a right circular cylinder having base radius r and vertical height h is given by the formula CSA = 2πrh.
MCSCCE
The age of A and B are in the ratio 6:11. Twenty years ago their ages were in the ratio of 2:7. Their present ages are -
A)
30 yrs & 55 yrs
B)
26 yrs & 31 yrs
C)
36 yrs & 41 yrs
D)
26 yrs & 91 yrs
Let present ages be 6x and 11x. Twenty years ago: (6x - 20)/(11x - 20) = 2/7 ⇒ 42x - 140 = 22x - 40 ⇒ 20x = 100 ⇒ x = 5. Present ages are 6(5) = 30 years and 11(5) = 55 years.
MCSCCE
The value of cos 47° sin 43° + sin 47° cos 43° is:
A)
0
B)
½
C)
1
D)
2
Applying the trigonometric identity sin(A + B) = sin A cos B + cos A sin B: cos 47° sin 43° + sin 47° cos 43° = sin(43° + 47°) = sin 90° = 1.
MCSCCE
If a : b = 5 : 8 and b : c = 7 : 10, then a : b : c =
A)
5 : 8 : 10
B)
5 : 7 : 10
C)
35 : 56 : 80
D)
5 : 56 : 10
To combine the ratios a : b = 5 : 8 and b : c = 7 : 10, multiply the first ratio by 7 and the second by 8 to make the common term b equal to 56. Thus, a : b : c = (5 * 7) : (8 * 7) : (10 * 8) = 35 : 56 : 80.
MCSCCE
A and B can do a piece of work in 10 days, B and C in 15 days, C and A in 30 days. In how many days can they do it all working together?
A)
15 days
B)
8 days
C)
11 days
D)
10 days
Daily work rate: (A+B) = 1/10, (B+C) = 1/15, (C+A) = 1/30. Summing gives 2(A+B+C) = 1/10 + 1/15 + 1/30 = (3+2+1)/30 = 6/30 = 1/5. Thus, (A+B+C) = 1/10 per day, meaning working together they will complete the job in 10 days.
MCSCCE
A gun is fired at a distance of 5.4 km from Liana and he hears the sound after 3 minutes. The speed of sound in metre per second is -
A)
60 m/s
B)
45 m/s
C)
30 m/s
D)
90 m/s
Distance d = 5.4 km = 5400 metres. Time t = 3 minutes = 3 * 60 = 180 seconds. Speed = Distance / Time = 5400 / 180 = 30 m/s.
MCSCCE
A building is 50√3 m high. The angle of elevation of its top from a point which is 50 m away from the foot, is:
A)
30°
B)
45°
C)
60°
D)
90°
tan(theta) = Height / Distance = 50*sqrt(3) / 50 = sqrt(3) => theta = 60 degrees (option c).
MCSCCE
If the arithmetic mean of 6, x, 13, 17 and 18 is 13, the value of ‘x’ is -
A)
8
B)
9
C)
10
D)
11
Sum of 5 numbers = 13 * 5 = 65. 6 + x + 13 + 17 + 18 = 65 => 54 + x = 65 => x = 11 (option d).
