The distance between two trains is 300 km. One train travels at 60 km/h and the other at 90 km/h toward each other. After how much time will they meet?
Correct Answer: Option B — 2 hours
Detailed Academic Explanation:
Given: Distance = 300 km Speed of first train = 60 km/h Speed of second train = 90 km/h Since they are moving toward each other , their relative speed is: 60 + 90 = 150 km/h Time: 300 / 150 = 2 hours Last updated 25-07-2026 by NA
If P = False, Q = True, and R = False, what is the truth value of (~P ∧ Q) ∨ R?
Correct Answer: Option A — True
Detailed Academic Explanation:
Given: P = False, Q = True, R = False Expression: (~P ∧ Q) ∨ R 1. ~P = ~False = True 2. ~P ∧ Q = True ∧ True = True 3. (~P ∧ Q) ∨ R = True ∨ False = True ------ Quick Rule NOT changes the value. AND is True only when both are True. OR is True when at least one is True.
To find the average, we need to first convert each fraction to a decimal: 5/6 = 0.83 4/3 = 1.33 3/4 = 0.75 Then, add the decimals and divide by the number of values: 0.83 + 1.33 + 0.75 = 2.91 2.91 ÷ 3 = 0.97 Now, convert the average back to a fraction: 0.97 ≈ 35/36
If 8 persons have an average of 12.5 and one person of 18 kg is replaced with 10 kg, the new average will be:
Correct Answer: Option B — 11.5
Detailed Academic Explanation:
Average of 8 persons = 12.5 So total weight: 8 times 12.5 = 100 8 × 12.5 = 100 One person of 18 kg is replaced by 10 kg: New total: 100 − 18 + 10 = 92 New average: 92 ÷ 8 = 11.5 Last updated question NS on 10 MAY 2026
The ratio of boys and girls in a class is 9:11. If there are 80 students in total, the number of girls is?
Correct Answer: Option C — 44
Detailed Academic Explanation:
Ratio of boys : girls = 9 : 11 Total parts: 9 + 11 = 20 Total students = 80 Girls frac{11}{20} times 80 = 44 11 /20 × 80 = 44 Last updated question NS on 10 MAY 2026
After 25% discount and 55% tax on discounted price, the final price is 1260. The original price is:
Correct Answer: Option B — 1084
Detailed Academic Explanation:
Let original price = x Step 1: Apply 25% discount Discounted price = x − 25% of x = 0.75 x Step 2: Apply tax (55% on discounted price) Final price = 0.75 x × 1.55 = 1.1625 x Given final price = 1260 1.1625 x = 1260 x = 1260 / 1.1625 = 1083.87 ≈ 1084 Last updated question NS on 10 MAY 2026
A number is increased by 12% and then decreased by 12%. The final result is:
Correct Answer: Option C — 1.44% decrease
Detailed Academic Explanation:
Let original number = 100 Step 1: Increase by 12% 100 + 12 = 112 Step 2: Decrease 112 by 12% 12% of 112 = 13.44 112 − 13.44 = 98.56 Step 3: Compare with original Original = 100 Final = 98.56 Decrease = 100 − 98.56 = 1.44 Percentage change: 1.44% Last updated question NS on 10 MAY 2026
The ratio of boys to girls is 9:11. If total students are 80, number of girls is:
Correct Answer: Option C — 44
Detailed Academic Explanation:
Ratio boys : girls = 9 : 11 Total students = 80 Total parts = 9 + 11 = 20 Each part = 80 ÷ 20 = 4 Girls = 11 parts: 11 × 4 = 44 Last updated question NS on 10 MAY 2026
A dishonest trader sells goods of 900 grams weight as 1 kg. Then his profit percentage is?
Correct Answer: Option B — 11.11%
Detailed Academic Explanation:
Actual weight = 900 g Charged weight = 1000 g Profit = 100 g (extra charged) Profit % = 100/ 900 × 100 = 11.11% Last updated question by NA on 07 May 2026
Step-by-step solution: 10% of 20 = frac{10}{100} times 20 = 2 10/ 100 × 20 = 2 20% of 10 = 20/100 × 10 = 2 Now add both: 2 + 2 = 4 Last updated question by NA on 07 May 2026
One-fourth of one third of two-fifth of a number is 15.What is the 40% of that number
Correct Answer: Option D — 180
Detailed Academic Explanation:
Step 1: Translate the statement into an equation “One-fourth of one-third of two-fifths of a number is 15” 1 /4 × 1/3 × 2 /5 × x = 15 Step 2: Multiply fractions 1 × 1 × 2/ 4 × 3 × 5 =2/ 60 = 1/ 30 So, 1/30 x = 15 Step 3: Solve for x x = 15 × 30 = 450 So, the number is x = 450 x = 450 Step 4: Find 40% of the number 40% of 450 = 40/100 × 450 = 0.4 × 450 = 180 Last updated question by NA on 07 May 2026
A person travels 80 km north and 60 km west. How far is he from starting point?
Correct Answer: Option B — 100 km
Detailed Academic Explanation:
This is a distance problem using the Pythagorean theorem . A person moves: 80 km North 60 km West These form a right triangle. Distance from starting point: d= √(80^2 + 60^2) =√(6400 + 3600) = √(10000) = 100 km Last updated question by NS on 2 MAY 2026
Assume originally: Bought 100 items for Rs.100 So, Cost Price (CP) per item = Rs.1 Now buys 10% less : 10% less than 100 = 90 items Still spends Rs.100 So new CP per item: CP = 100/90 Now sells 10% more : 10% more than 100 = 110 items Assume selling rate is Rs.1 per item. So total Selling Price: SP = 110 × 1 = 110 Profit: P ro f i t = SP − CP = 110 − 100 = 10 Profit percentage formula: Profit % = Profit/ Cost Price × 100 Substitute values: 10/100 × 100 = 10% That approach looks tempting, but it ignores that buying fewer changes the cost per item. The correct combined effect is: Profit % = ( 110/90 − 1 ) × 100 ( 110/90 − 1 ) × 100 =left(frac{20}{90}right)times100 = ( 20/90 ) × 100 =22.22% = 22.22% Last updated question by NS on 2 MAY 2026
There is 10%, 20% and 40% discount on a thing. What single discount is equivalent to all of them together?
Correct Answer: Option B — 56.8%
Detailed Academic Explanation:
To find a single equivalent discount , we apply successive discounts step by step. Assume original price = 100 Step 1: 10% discount 100 → 90 Step 2: 20% discount on 90 90 → 72 Step 3: 40% discount on 72 72 → 43.2 Final price = 43.2 Total discount: 100 − 43.2 = 56.8 **** Last updated by NS on 01 MAY 2026
Which number in the series is incorrect? 15, 16, 20, 30, 45, 70
Correct Answer: Option C — 30
Detailed Academic Explanation:
In this series, each number is formed by adding the square of a natural number (1^2, 2^2, 3^2, .....) to the preceding number. 15 + 1² = 16 16 + 2² = 20 20 + 3² = 29 ← should be 29, but given 30 29 + 4² = 45 45 + 5² = 70 So the correct sequence should be: 15, 16, 20, 29, 45, 70 Therefore, 30 is the incorrect number **** Last updated by NS on 01 MAY 2026
This is a geometric progression (GP) where each term is multiplied by 3: 1, 3, 9, 27, 81, 243, 729, 2187 Formula: a n = a × r^ ( n − 1 ) Here: a = 1 r = 3 n = 8 So: a 8 = 1 × 3^ 7 = 2187 8th term = 2187 Last updated by NA on 2 MAY 2026
The average of four consecutive odd numbers is 24. The largest number is:
Correct Answer: Option C — 27
Detailed Academic Explanation:
Let the four consecutive odd numbers be: n-3, n-1, n+1, n+3 n − 3 , n − 1 , n + 1 , n + 3 Their average = n . Given average = 24 → n = 24 Largest number = n + 3 = 27 .
If the day before yesterday was Saturday, then what will be the day after tomorrow?
Correct Answer: Option A — Wednesday
Detailed Academic Explanation:
According to the statement: Day before Yesterday Yesterday Today Tomorrow Day after Tomorrow Saturday Sunday Monday Tuesday Wednesday So, when the day before yesterday was Saturday. Then Wednesday will be the day on the day after tomorrow.
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.