APPSC Paper I · Paper I · Topic 9
9 APPSC Paper I Logical Reasoning & Analytical Ability questions with answers
30 questions from APPSC Paper I Mock 1 with answers and APPSC EO Grade III 2026 Paper I question paper with answers. Try each one, then tap Show answer.
Previous-paper questions are as in the original paper. Medha AI wrote the answers and explanations.
9.6Series & coding-decodingNotes
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If 3 * 4 = 25 and 5 * 12 = 169, then what is 8 * 15?
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Answer D. 289
3^2 + 4^2 = 25 and 5^2 + 12^2 = 169, so 8 * 15 = 8^2 + 15^2 = 64 + 225 = 289.
Source: Standard reasoning method; answer and every option computed and checked in Python (MA-C build script)
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In a certain code, BAT is written as 69 and ROAD is written as 152. Using the same rule, how is ANDHRA written?
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Answer A. 276
BAT: (2 + 1 + 20) x 3 = 69 and ROAD: (18 + 15 + 1 + 4) x 4 = 152, so code = (sum of letter positions) x (number of letters). ANDHRA: (1 + 14 + 4 + 8 + 18 + 1) x 6 = 46 x 6 = 276.
Source: Standard reasoning method; answer and every option computed and checked in Python (MA-C build script)
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One rule converts PEN into RGP and BOX into DQZ. Under this rule, which of the following word-code pairs is INCORRECT?
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Answer A. RICE - TKDG
Each letter moves 2 places forward (P-R, E-G, N-P). RICE should be TKEG, because C + 2 = E, not D; the other three follow the rule.
Source: Standard reasoning method; answer and every option checked in Python (arrangements and relation puzzles brute-forced for a unique answer)
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Find the next term in the series: 120, 99, 80, 63, 48, ?
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Answer C. 35
Terms are one less than the squares 121, 100, 81, 64, 49; the next is 36 - 1 = 35 (differences 21, 19, 17, 15, 13).
Source: Standard reasoning method; answer and every option computed and checked in Python (MA-C build script)
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If blue is written as green, green is written as red, red is written as yellow, yellow is written as black and black is written as white then what is the color of turmeric ?
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Answer C. Black
Turmeric is yellow, and in this code yellow is written as black, so the answer is black.
Source: APPSC EO Grade III 2026 Paper I (Notification 10/2025), Q107, final key
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If PRIVATE is coded as 1234567 and RISK is coded as 2398, then RIVETS is coded as
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Answer C. 234769
From the codes R = 2, I = 3, V = 4, E = 7, T = 6, S = 9, so RIVETS = 2 3 4 7 6 9.
Source: APPSC EO Grade III 2026 Paper I (Notification 10/2025), Q120, final key
9.8Relations, directions & arrangementsNotes
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In a code, 'P 6m $ Q' means Q is 6 m North of P; '&' means East, '%' means South and '*' means West in the same way. A runner follows the route 'A 10m $ B 8m & C 4m % D 6m * E', reaching each point in turn. M is the midpoint of the straight path from B to C. What is the distance between M and E, and in which direction is E with respect to M?
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Answer C. 2√5 m, South-West
Take A = (0, 0). B = (0, 10), C = (8, 10), D = (8, 6), E = (2, 6), and M = (4, 10). From M to E: 2 m West and 4 m South, so the distance is √(4 + 16) = 2√5 m and E is South-West of M.
Source: Standard reasoning method; answer and every option checked in Python (arrangements and relation puzzles brute-forced for a unique answer)
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From her school in Eluru, Anitha walks 7 km East, then 4 km South, then 3 km West and then 4 km North. How far is she from the school and in which direction?
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Answer C. 4 km, East
Net East-West = 7 - 3 = 4 km East; net North-South = 4 - 4 = 0. She is 4 km East of the school.
Source: Standard reasoning method; answer and every option checked in Python (arrangements, syllogisms and truth puzzles brute-forced for a unique answer)
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Village Q is to the North of village P. Village R is to the East of Q. Village S is to the South of R and to the East of P. In which direction is P with respect to R?
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Answer D. South-West
Let P = (0, 0). Q = (0, a) with a > 0; R = (b, a) with b > 0; S = (b, 0) is South of R and East of P. From R, P is b units West and a units South, i.e. South-West, whatever the distances.
Source: Standard reasoning method; answer and every option checked in Python (arrangements, syllogisms and truth puzzles brute-forced for a unique answer)
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Eight boxes are kept one above the other. The red box is kept between the white and pink boxes. The indigo box is kept between black and green boxes. The green box is kept immediately above the white box which is box number four from below. Seven boxes are kept above the yellow box. Where is the blue box kept ?
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Answer D. Above the black box
From the bottom: yellow 1, white 4, green 5; red must sit between white and pink, so pink 2 and red 3; indigo is between green and black, so indigo 6, black 7, leaving blue at 8, the top, above the black box.
Source: APPSC EO Grade III 2026 Paper I (Notification 10/2025), Q115, final key
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P, Q, X, Y and Z have different heights. Q is taller than X but shorter than P. X is taller than Y. Z is taller than Y. More than two people are taller than Z. How many people are taller than Y ?
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Answer A. 4
P > Q > X > Y and Z > Y. Since more than two people are taller than Z, P, Q and X are all taller than Z, so the order is P > Q > X > Z > Y and all four others are taller than Y.
Source: APPSC EO Grade III 2026 Paper I (Notification 10/2025), Q116, final key
9.10Syllogism & verbal reasoningNotes
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Statements:
1. All mobiles are phones.
2. No phones are laptops.
3. Some laptops are tablets.
Conclusions:
I. Some tablets are not phones.
II. No mobiles are laptops.
Considering the statements to be true even if they appear to be at variance with commonly known facts, which of the conclusions logically follow(s)?
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Answer C. Both I and II follow
Both I and II follow. The tablets that are laptops are not phones, so some tablets are not phones. Mobiles lie inside phones and phones are separate from laptops, so no mobile is a laptop.
Source: Standard reasoning method; answer and every option checked in Python (arrangements, syllogisms and truth puzzles brute-forced for a unique answer)
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Statements:
1. All actors are boxers.
2. Some boxers are cyclists.
3. No cyclists are dancers.
Conclusions:
I. Some actors are cyclists.
II. Some boxers are not dancers.
Considering the statements to be true even if they appear to be at variance with commonly known facts, which of the conclusions logically follow(s)?
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Answer B. Only II follows
Only II follows. 'All actors are boxers' and 'Some boxers are cyclists' give no definite link between actors and cyclists. The boxers who are cyclists are not dancers, so some boxers are not dancers.
Source: Standard reasoning method; answer and every option checked in Python (arrangements, syllogisms and truth puzzles brute-forced for a unique answer)
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Statement: M ≥ N = O ≤ P
Conclusions:
I. M > O
II. M = O
Which of the conclusions definitely follow(s)?
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Answer C. Either I or II follows
M ≥ N = O gives M ≥ O. Neither 'M > O' nor 'M = O' is certain by itself, but together they make up M ≥ O, so either I or II follows.
Source: Standard reasoning method; answer and every option checked in Python (arrangements, syllogisms and truth puzzles brute-forced for a unique answer)
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Identify the game which is different from others :
Cricket, Baseball, Football, Billiards, Badminton
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Answer C. Billiards
Cricket, baseball, football and badminton are played in the open field or court with players moving around; billiards is a cue sport played on a table, so it is the odd one.
Source: APPSC EO Grade III 2026 Paper I (Notification 10/2025), Q108, final key
9.11Calendar, clock & figuresNotes
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At 3 o'clock the hands of a clock are at right angles. At what time between 3 o'clock and 4 o'clock will they be at right angles again?
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Answer B. 32 8/11 minutes past 3
After 3:00 the minute hand gains 5.5 degrees per minute. It must go from 90 degrees behind to 90 degrees ahead, i.e. gain 180 degrees: M = 180/5.5 = 360/11 = 32 8/11 minutes past 3.
Source: Standard reasoning method; answer and every option computed and checked in Python (MA-E build script)
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A figure is a grid of equal small squares with 3 rows and 5 columns. Count all the squares of every size in it.
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Answer A. 26
In an m x n grid, the number of k x k squares is (m - k + 1)(n - k + 1). For 3 x 5: 1 x 1 = 3 x 5 = 15; 2 x 2 = 2 x 4 = 8; 3 x 3 = 1 x 3 = 3. Total = 26.
Source: Standard reasoning method; answer and every option computed and checked in Python (MA-I build script)
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On what day of the week did 15 August 1947 fall?
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Answer B. Friday
Odd days: 1600 years = 0; 300 years (1601-1900) = 1; 1901-1946 = 46 years with 11 leap years = 46 + 11 = 57 = 1 odd day; 1 Jan to 15 Aug 1947 = 31+28+31+30+31+30+31+15 = 227 days = 3 odd days. Total = 0 + 1 + 1 + 3 = 5, and 5 odd days means Friday (0 = Sunday).
Source: Standard reasoning method; answer and every option computed and checked in Python (MA-E build script)
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If January 8, 2004 was a Thursday, then what day of the week is January 11, 2005 ?
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Answer C. Tuesday
From 8 Jan 2004 to 8 Jan 2005 is 366 days (2004 is a leap year and includes 29 Feb), i.e. 2 odd days, so 8 Jan 2005 is Saturday; 3 days later, 11 Jan 2005 is Tuesday.
Source: APPSC EO Grade III 2026 Paper I (Notification 10/2025), Q112, final key
9.1Numerical abilityNotes
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Six years ago, the ratio of the ages of Kamala and Sita was 6 : 5. Four years from now, the ratio of their ages will be 11 : 10. What is Sita's present age?
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Answer D. 16 years
Six years ago the ages were 6k and 5k. Four years from now they are 6k + 10 and 5k + 10, and 10(6k + 10) = 11(5k + 10) gives k = 2. Sita is now 10 + 6 = 16 years.
Source: Standard arithmetic method; every option computed and checked in Python
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What is the sum of all the three-digit numbers that can be formed with the digits 1, 2 and 3, each used exactly once in a number?
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Answer A. 1,332
There are 6 numbers. Each digit appears twice in each place, so the sum = 2 x (1 + 2 + 3) x 111 = 1,332 (123 + 132 + 213 + 231 + 312 + 321).
Source: Standard mental-ability method; answer and every option computed and checked in Python (MA-G build script)
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The simple interest on a sum for 3 years at 7.5% per annum exceeds the simple interest on the same sum for 2 1/2 years at 8% per annum by Rs 125. What is the sum?
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Answer D. Rs 5,000
Interest for 3 years at 7.5% = 22.5% of P; for 2 1/2 years at 8% = 20% of P. So 2.5% of P = 125 and P = Rs 5,000.
Source: Standard arithmetic method; every option computed and checked in Python
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The consecutive even numbers are such that if the first is divided by 4, the second is divided by 3, the third by 7, the sum of the quotients is 39. Find the smallest number.
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Answer C. 52
Let the numbers be n, n+2, n+4: n/4 + (n+2)/3 + (n+4)/7 = 39 gives 61n + 104 = 3276, so n = 52 (check: 13 + 18 + 8 = 39).
Source: APPSC EO Grade III 2026 Paper I (Notification 10/2025), Q82, final key
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In an examination, 76% of candidates passed in Physics and 72% passed in Mathematics, 10% failed in both subjects. If 16240 candidates passed in both subjects. How many students appeared for the exams ?
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Answer C. 28000
Passed in at least one = 100 − 10 = 90%; passed both = 76 + 72 − 90 = 58%. Total = 16240 ÷ 0.58 = 28,000.
Source: APPSC EO Grade III 2026 Paper I (Notification 10/2025), Q85, final key
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The average age of a class of 50 students and a teacher reduces by 0.7 years if we exclude the teacher. If the initial average is 18 years, find the age of teacher.
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Answer C. 53
Total with teacher = 51 × 18 = 918; students' total = 50 × 17.3 = 865; teacher = 918 − 865 = 53 years.
Source: APPSC EO Grade III 2026 Paper I (Notification 10/2025), Q88, final key
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A person covers ¾th of his journey by car at 80 km/h, half of the remainder by auto at 20 km/h and the rest by cycle at 10 km/h. Find the average speed during the entire journey.
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Answer C. 35.5 km/h
For a journey of 1 unit: time = (3/4)/80 + (1/8)/20 + (1/8)/10 = 3/320 + 2/320 + 4/320 = 9/320; average speed = 320/9 ≈ 35.56 km/h, given as 35.5 km/h.
Source: APPSC EO Grade III 2026 Paper I (Notification 10/2025), Q89, final key
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If ÷ denotes –, × denotes +, – denotes ×, + denotes ÷, then 28 × 12 + 4 ÷ 6 – 4 = ?
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Answer D. 7
Replace the signs: 28 + 12 ÷ 4 – 6 × 4 = 28 + 3 – 24 = 7.
Source: APPSC EO Grade III 2026 Paper I (Notification 10/2025), Q109, final key
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A class has 50 students with average weight of 45 kgs. Out of these there are 30 girls with average weight of 42.5 kgs. What is the average weight of boys ?
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Answer B. 48.75
Total = 50 × 45 = 2250 kg; girls = 30 × 42.5 = 1275 kg; boys = 975 ÷ 20 = 48.75 kg.
Source: APPSC EO Grade III 2026 Paper I (Notification 10/2025), Q113, final key
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A person puts one coin at 1'O clock, two coins at 2'O clock, 3 coins at 3'O clock and so on in a box. Then the number of coins he has put in the box between 6.30 am to 6.30 pm in a day is
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Answer A. 78
Hours struck between 6.30 am and 6.30 pm: 7 to 12 (57 coins) and 1 to 6 pm (21 coins); total 57 + 21 = 78.
Source: APPSC EO Grade III 2026 Paper I (Notification 10/2025), Q118, final key
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The mean of 99 employees out of 100 employees is Rs. 50. If the salary of 100th employee is Rs. 49.50 more than the average mean salary of 100 employees, then the mean (average) of all the employees, is
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Answer A. 50.50
Let the mean be M. Then 100M = 99 × 50 + (M + 49.5), so 99M = 4999.5 and M = 50.50.
Source: APPSC EO Grade III 2026 Paper I (Notification 10/2025), Q119, final key
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