If the amount spent on laptop imports into Australia in the fifth year was 20% lower than in the fourth year, how much was spent in the fifth year?
Correct Answer: Option E — 1120 million
Detailed Academic Explanation:
Let the amount spent in the 4th year = X million - The 5th year amount = 20% less than 4th year = 80% of X = 0.8 × X We need to find the 5th year amount among the options. If we assume the 4th year amount is 1400 million (the highest option given, likely the 4th year amount): 5th year amount = 0.8 × 1400 = 1120 million
ABC corporation has sold 30% of the stock to Company 'S'. Company 'T' owns 12,000 shares. Company 'R' owns all the shares not owned by any of these companies. How many shares of stock does Company 'S' own if Company 'R' has 15% more shares than Company 'S'?
Correct Answer: Option A — 10,140 shares
Detailed Academic Explanation:
Let total shares = T - Company S owns 30% of T = 0.30T - Company T owns 12,000 shares - Company R owns the remaining shares: T - (S + T) = T - (0.30T + 12,000) = 0.70T - 12,000 - Given Company R has 15% more shares than Company S: R = S + 15% of S = 1.15 × S So, 0.70T - 12,000 = 1.15 × 0.30T 0.70T - 12,000 = 0.345T 0.70T - 0.345T = 12,000 0.355T = 12,000 T = 12,000 / 0.355 ≈ 33,802.82 shares (total shares) Now, Company S owns: S = 0.30 × 33,802.82 ≈ 10,140 shares
Three pointer can point three walls in three minutes. how many pointer are needed to point 27 wall in 9 minutes?
Correct Answer: Option C — 9
Detailed Academic Explanation:
3 pointers point 3 walls in 3 minutes. - So, 1 pointer points 1 wall in 3 minutes. Now, we want to know how many pointers are needed to point 27 walls in 9 minutes. Since 1 pointer points 1 wall in 3 minutes, in 9 minutes (which is 3 times longer), 1 pointer can point: 1 wall × 3 = 3 walls. To point 27 walls in 9 minutes: Number of pointers needed = Total walls / Walls per pointer = 27 / 3 = 9 pointers.
If a magazine seller sells 40% of his magazines and is now left with 360 magazines, how many magazines did he have to begin with?
Correct Answer: Option A — 600
Detailed Academic Explanation:
He sells 40% of them, so he is left with 60% of x. According to the problem: 60% of x = 360 => (60/100) * x = 360 => 0.6x = 360 => x = 360 / 0.6 => x = 600 He sells 40% of them, so he is left with 60% of x. According to the problem: 60% of x = 360 => (60/100) * x = 360 => 0.6x = 360 => x = 360 / 0.6 => x = 600 According to the problem: 60% of x = 360 => (60/100) * x = 360 => 0.6x = 360 => x = 360 / 0.6 => x = 600
Compound interest rate of 6% p.a. is given for the investment of Rs. 42,000 for 10 years. What is the amount at the end of the term if interest is added half-yearly?
Correct Answer: Option C — Rs. 75,856.7
Detailed Academic Explanation:
Given: - Principal (P) = Rs. 42,000 - Annual interest rate (r) = 6% = 0.06 - Time (t) = 10 years - Interest compounded half-yearly (n = 2 times per year) --- Formula for compound interest: Amount, A = P * (1 + r/n)^(n*t) Substitute the values: A = 42,000 * (1 + 0.06/2)^(2 * 10) = 42,000 * (1 + 0.03)^20 = 42,000 * (1.03)^20 --- Calculate (1.03)^20: (1.03)^20 ≈ 1.8061 --- So, A ≈ 42,000 * 1.8061 ≈ Rs. 75,856.2
If a² - b² = 9 and (a - b)² = 3, then what is the value of ab?
Correct Answer: Option D — 6
Detailed Academic Explanation:
a² − b² = 9 But we can also write: a² − b² = (a + b)(a − b) = 9 And (a − b)² = 3 → so (a − b) = √3 or −√3 Let’s assume: a − b = √3 Then: From (a + b)(a − b) = 9 ⇒ (a + b)(√3) = 9 ⇒ a + b = 9 / √3 = 3√3 Now, we have: a + b = 3√3 a − b = √3 Now solve the system: Adding: 2a = 4√3 → a = 2√3 Subtracting: 2b = 2√3 → b = √3 Now, ab = a × b = 2√3 × √3 = 2 × 3 = 6
The first year, two cows produced 4000 l and 3100 l of milk respectively. The second year their production increased by 15% and 10% respectively, what is the total amount of milk produced in the second year?
Correct Answer: Option B — 8010 l
Detailed Academic Explanation:
Cow 1 (4000 l) increases by 15%: 15% of 4000 = 0.15 × 4000 = 600 New amount = 4000 + 600 = 4600 l Cow 2 (3100 l) increases by 10%: 10% of 3100 = 0.10 × 3100 = 310 New amount = 3100 + 310 = 3410 l Total production in 2nd year = 4600 + 3410 = 8010 l
Two small towns with a population of 1,800 and 1,500 are to be granted Rs. 712,000 in the proportion of their population. How much must each receive?
Correct Answer: Option A — 388,363 and 323,636
Detailed Academic Explanation:
We need to divide Rs. 712,000 between two towns with populations 1,800 and 1,500, in proportion to their population. Step 1: Total Population 1800 + 1500 = 3300 Step 2: Share per person 712,000 ÷ 3300 = Rs. 215.76 approx. Step 3: Each town’s share - Town A (1800 people): 1800 × 215.76 = Rs. 388,363 approx. - Town B (1500 people): 1500 × 215.76 = Rs. 323,636 approx.
A school organized a knockout football competition in which 23 teams played. What was the least number of matches they needed to play to decide the winner?
Correct Answer: Option B — 22
Detailed Academic Explanation:
In a knockout tournament, each match eliminates one team. To decide a single winner from n teams, we must eliminate (n − 1) teams. Here, n = 23 So, number of matches needed = 23 − 1 = 22
Review the table below two answer the next two question
Correct Answer: Option B — Which newspaper had the highest readership in years 1 and 2 cumulatively?
Detailed Academic Explanation:
Review the table below to answer the next two questions Newspaper Readership | Daily Newspapers | Readership (millions) | Percentage of adults reading each paper in Year 3 | | | Year 1 | Year 2 | Males | Females | | DAWN news | 3.6 | 2.9 | 7 | 6 | | American Times | 13.8 | 9.3 | 24 | 23 | | The Tribune | 1.1 | 1.4 | 4 | 3 | | Wall Street Journal| 8.5 | 12.7 | 30 | 23 | | Newsday | — | 4.8 | 10 | 12 | Which newspaper was read by a higher percentage of females than males in Year 3? ANSWER: Newsday (Females: 12%, Males: 10%) Which newspaper had the highest readership in years 1 and 2 cumulatively? ANSWER: American Times (Year 1: 13.8 million, Year 2: 9.3 million → Total = 23.1 million)
Bastion was 16th in line at the coffee shop. He was also 16th from the back of the line. How many people were in line?
Correct Answer: Option B — 31
Detailed Academic Explanation:
If Bastion is 16th from the front and 16th from the back, it means there are 15 people ahead of him and 15 people behind him. So, total people in line = 15 (in front) + 1 (Bastion) + 15 (behind) = 31
Which word does NOT belong with the others? Magazine Sections Pages Index
Correct Answer: Option A — Magazine
Detailed Academic Explanation:
Sections, Pages, and Index are all parts of a magazine. - Magazine is the whole, whil e the others are components. So, "Magazine" does not belong with the rest.
Look carefully for the pattern, and then choose which pair of numbers comes next. 10 44 12 40 14 38 .........
Correct Answer: Option A — 16 34
Detailed Academic Explanation:
10, 44, 12, 40, 14, 38 - 1st number series: 10 → 12 → 14 → ? (increasing by 2) - 2nd number series: 44 → 40 → 38 → ? (decreasing by 4, then 2) So: - Next in first series: 14 + 2 = 16 - Next in second series: 38 - 4 = 34
Which set does not figure belong to?(figure and complete answer mention in the explanation portion)
Correct Answer: Option B — Set B
Detailed Academic Explanation:
The figure to be classified has two black squares: One black square is in the Bottom Left Corner . The other black square is on the Bottom Side next to the corner. Since the two black squares are located on adjacent sides (the left and bottom sides) and share a corner, the figure matches the rule for SET B .
If the jumbled word below is rearrange to form the name of a country, what is the last letter of the correct word? ARHELTSNED
Correct Answer: Option C — S
Detailed Academic Explanation:
Rearrange the letters: The letters A R H E L T S N E D rearrange to form the country name NETHERLANDS. Identify the last letter: The last letter of NETHERLANDS is S.
Based on the predictions: Circle: Top Left Large Triangle: White (Unfilled) Small Triangle: Right A (Circle: Top Left, Large Triangle: White, Small Triangle: Right) - Correct.
Figure Description: - Top row: ★ ★ ★ - Bottom row: ★ ★ ★ (black star) Classification Logic: - Set B Rule: The figure has a black star in the bottom row. - This figure does have a black star in the bottom row.
Top Set (Set 1): All figures are composed of five (5) blocks. They are all different rotations of the same basic L-shaped pentomino (or a 1x4 column with one block attached to the side).
On the last day of school, pupils were allowed to bring some snacks to share with each other. 5 pupils brought 3 apples each, 6 pupils brought 2 bananas each, and 3 pupils brought 4 nectarines each. How many pieces of fruit were there to share?
Correct Answer: Option D — 39
Detailed Academic Explanation:
5 pupils brought 3 apples each → 5 × 3 = 15 apples - 6 pupils brought 2 bananas each → 6 × 2 = 12 bananas - 3 pupils brought 4 nectarines each → 3 × 4 = 12 nectarines Total fruit = 15 + 12 + 12 = 39
King, court, and place (referring to a palace or royal residence) are all words related to royalty or a royal setting. Radium is a chemical element, a radioactive metal , and does not fit the theme of royalty.
What is height of triangle if the base is 8 cm and area is 16 cm ?
Correct Answer: Option D — 4
Detailed Academic Explanation:
To find the height of a triangle, use the area formula: Area = (1/2) × base × height You're given: Area = 16 cm² Base = 8 cm Plug into the formula: 16 = (1/2) × 8 × height 16 = 4 × height Height = 16 ÷ 4 = 4 cm
In a certain code MISSIONS is written as MSIISNOS.How is INTERNET written in that code?
Correct Answer: Option A — ITRENNTE
Detailed Academic Explanation:
Original: M I S S I O N S Coded: M S I I S N O S It seems the first and last letters stay in place: - M → M, S → S Now let's look at the rest: Original: I S S I O N Coded: S I I S N O (shuffled) On close inspection, the letters are being rearranged by: - Keeping 1st and 8th in place - Swapping 2nd with 3rd, 4th with 5th, 6th with 7th Apply the same pattern to the INTERNET: Original: I N T E R N E T 1st & 8th stay: I _ _ _ _ _ _ T Now group and swap: - 2nd & 3rd: N ↔ T → T N - 4th & 5th: E ↔ R → R E - 6th & 7th: N ↔ E → E N Final code: I T N R E E N T
Look carefully the pattern, and then choose which pair of number comes next.10, 44, 12, 40, 14, 38
Correct Answer: Option B — 16 36
Detailed Academic Explanation:
0, 44, 12, 40, 14, 38, ? Split into two separate sequences: First numbers (odd positions): 10, 12, 14 → increasing by 2 Second numbers (even positions): 44, 40, 38 → decreasing by 4, then 2 Let’s continue the same logic: - Next odd-position number: 14 + 2 = 16 - Next even-position number: 38 - 2 = 36
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.