A company has 636 employees. This year, it will hire 7% more employees. What will be the total number of employees after hiring?
Correct Answer: Option C — 681
Detailed Academic Explanation:
7% of 636 = 44.52 New Total = Original + (Percentage × Original ÷ 100) New total = 636 + 44.52 = 680.52 Since employees must be a whole number → 681 employees.
In class there are 20 boys and 30 girls , 73% are taken for a tour , what are the remaining students in the class and also find how many are girls and how many are boys left in class ?
Correct Answer: Option C — 14
Detailed Academic Explanation:
Finding the Remaining Students Total Boys: 20 Total Girls : 30 Total Students: 20 + 30 = 50 Students taken for the tour: 73% Remaining percentage: 100% − 73% = 27% Remaining students: 27% of 50 = 50 × 27 ÷ 100 = 13.5 13.5 ≈ 14 students (approximately).
Given sequence: 4, 11, 7, 14, 10, 17, __, 20 Two alternating series are used: First series: 4 → 7 → 10 → 13 ( +3 each time ) Second series: 11 → 14 → 17 → 20 ( +3 each time) Missing number: 13
If you flip a coin 3 times what is the probability of getting 3 heads?
Correct Answer: Option A — 0.125
Detailed Academic Explanation:
A coin has 2 possible outcomes each time: Head (H) Tail (T) If the coin is flipped 3 times, the total possible outcomes are: 2^3 = 8 The possible outcomes are: HHH, HHT, HTH, HTT, THH, THT, TTH, TTT Only one outcome gives 3 heads : HHH. Therefore: Formula P(3 heads)= Favourable outcomes/ Total outcome=1/8 1/8= 0.125 or 12.5%
Given: ABD, BCE, CDF, DFG, ________. what should follow?
Correct Answer: Option C — EFH
Detailed Academic Explanation:
Each group moves one letter forward , while the last letter skips one position: Observe each position separately: 1st letters: A → B → C → D 2nd letters: B → C → D → E 3rd letters: C → D → E → F 4th letters: E → F → G → H Therefore: ABCE → BCDF → CDEG → DEFH
Pointing toward a man, a man said "His mother is the only daughter of my mother ". How is the woman related to the man?
Correct Answer: Option C — Sister
Detailed Academic Explanation:
The speaker's mother has only one daughter. That daughter is the speaker's sister. The man's mother = speaker's sister. Therefore, the woman is the man's sister.
It takes 5 minutes to pass a rumor from one form one person to another person. The Tree of Rumour continues. How many persons would know the Rumour after 20 minutes?
Correct Answer: Option C — 81
Detailed Academic Explanation:
In the Tree of Rumour problem, one person passes the rumour to 2 other people every 5 minutes. Therefore, the total number of people triples every 5 minutes. 0 minutes → 1 person 5 minutes → 3 persons 10 minutes → 9 persons 15 minutes → 27 persons 20 minutes → 81 persons Using the formula: 3^ 20/5 =3^ 4 =81
What is the sum of the interior angles of a triangle?
Correct Answer: Option B — 180 degrees
Detailed Academic Explanation:
The three interior angles of every triangle always add up to 180 degrees Basic Geometry Formulas Triangle Area = ½ × Base × Height Perimeter = a + b + c Sum of angles = 180° Rectangle Area = Length × Width Perimeter = 2(Length + Width) Square Area = Side² Perimeter = 4 × Side Circle Area = πr² Circumference = 2πr Triangle angle Interior angles = 180° Last updated by NA on 09-09-2026
Value of Pi (π): Approximately 3.14159 The value of π (pi) is an irrational number Meaning it is a decimal that never ends and never settles into a repeating pattern Last updated by NA on 09-09-2026
A bank deposit of Rs. 750,000 increases by 5% every year. What will be the total amount after 3 years?
Correct Answer: Option B — Rs. 867,693.75
Detailed Academic Explanation:
This is compound growth because the amount increases by 5% every year. Given: Principal = Rs. 750,000 Rate = 5% Time = 3 years Formula: A=P(1+r/100)^n A=750,000(1.05)^3 A=750,000×1. A=867,693.75 Last updated by NS on 06-09-2026 ' A=750,000times1.157625
Check the pattern: 121 = 11 x 11 144 = 12 x 12 169 = 13 x 13 196 = 14 x 14 So each number is a square of consecutive numbers: 11, 12, 13, 14 Next number will be square of 15 15 x 15 = 225 Verified & Updated
Which number will come next? 3, 5, 7, 10, 12, 14, 24, 26, ____?
Correct Answer: Option C — 28
Detailed Academic Explanation:
The sequence is arranged in groups where the numbers increase by 2: 3, 5, 7 10, 12, 14 24, 26, 28 So after 24, 26, the next number is: 26 + 2 = 28 Last updated 17 july 2026 by NA
If an article is sold at a profit of RS 120, which represents 20% of the selling price, then what is the cost price of the article?
Correct Answer: Option C — 480
Detailed Academic Explanation:
Given: Profit = Rs. 120 Profit = 20% of Selling Price (SP) 20% of SP = 120 SP = 120 × 100/20 = R s .600 Now, CP = SP − P ro f i t = 600 − 120 = R s .480
What is the 10th term of the series? 2×1^^^2 +4×2 2 +6×3 2 +⋯
Correct Answer: Option C — 2000
Detailed Academic Explanation:
The series is: 2 × 1^ 2 + 4 × 2^ 2 + 6 × 3^ 2 + ⋯ The 10th term is: 2 n × n 2^ = 2 n^ 3 For n=10 n = 10 : 2 ( 10 )^ 3 = 2 × 1000 = 2000 Last updated 26-07-2026 by NA
In competitive commission exams (FPSC, PPSC, KPPSC, SPSC, CSS, PMS), questions are frequently phrased with distractor options designed to catch rote learners. Whenever you answer an MCQ, read the Detailed Academic Explanation and Conceptual Anchor to understand why the remaining options are incorrect.