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13 solved questions on Logical Reasoning
CSS 2026General Science & AbilityQ. 7
(a) Five researchers (A, B, C, D, E) sit in a circle. A sits second to the right of C. B is not a neighbour of A. D sits opposite C. Construct a logically valid seating arrangement. Explain each step leading to your conclusion. (b) A mixture contains water and chemical X in the ratio 5 : 3. If 20 Liters of water are added, the ratio becomes 3 : 2. Determine the original amount of the mixture and the initial quantities of both components. (c) Four machines (X, Y, Z, W) must run in sequence with constraints: Y cannot run before X. Z must run immediately after W. X cannot be last. Construct all valid permutations. Explain your reasoning systematically. (d) A doctor uses a decision tree to diagnose a disease based on symptoms S1, S2, and S3. If S1 is present, test for S2. If S2 is absent, rule out the disease. If S3 is present with S2, confirm diagnosis. Construct the decision tree and explain the reasoning behind each branching decision.
#cssnexus #Circular Seating Arrangement #Mixture Problems #Ratio and Proportion
CSS Nexus6 Nov 2026
CSS 2026General Science & AbilityQ. 8
(a) Unscramble following high-level logical reasoning and research methodology terms: i) NALYLTCAIA ii) EFNRECNIE iii) OCNDIUTNI iv) NRBTASACIOT v) SHTESYPHOI. (b) Argument: 'Because many successful entrepreneurs dropped out of college, formal education is unnecessary for achieving high professional success.' Task: (i) Identify the fallacy / faulty reasoning in the statement. Explain how it affects the credibility of the argument. (ii) Narrate how verbal reasoning skills help detect and correct such flawed arguments. (c) A mechanical reasoning scale measures the ability to understand physical principles. Consider a system where two gears (Gear A and Gear B) are interlocked. Gear A has 12 teeth, and Gear B has 36 teeth. (i) Determine the rotation direction of Gear B if Gear A rotates clockwise. (ii) Compute how many complete rotations Gear A must make for Gear B to complete exactly 2 rotations. (iii) Explain how mechanical reasoning scales evaluate a test-taker's ability to generalize such mechanical principles to unfamiliar problems. (d) The average weight of 12 students in a group is 58 kg. When one new student joins the group, the new average becomes 60 kg. Calculate the weight of the new student, showing all steps clearly.
#cssnexus #Jumbled Words #Logical Fallacy #Hasty Generalization
CSS Nexus6 Nov 2026
CSS 2025General Science & AbilityQ. 8
(a) A train in first five successive minutes from its start runs 68 m, 127 m, 208 m, 312 m and 535 m and for next 5 minutes maintains an average speed of 33 km/hr. Find the whole distance covered and the average speed in covering this total distance. (b) A solid cuboid with base 10 cm by 6 cm is available. The height of the cuboid is 'y' centimeter and the total surface area of the cuboid is given to be 376 cm². Find the height of the cuboid. (c) In a six member family (A, B, C, D, E and F), there are two fathers, three brothers and a mother. If C is the sister of F, B is the brother of E's husband. D is the father of A and grandfather of F. Who is E's husband? (d) How many prime numbers are between each of the following pairs of numbers? a) √3 and √120 b) √10 and √410 c) ∛10 and ∛999 d) ∛28 and √120 e) √8 and √400.
#cssnexus #Average Speed #Speed Distance Time #Surface Area of Cuboid
CSS Nexus6 Nov 2026
CSS 2022General Science & AbilityQ. 8
(a) What do you understand by Sampling? Discuss Non-Probability Sampling. (b) Aslam is willing to use the stylish ceramics tiles in the lounge of his under-construction house. The shape of the tile is a right triangle, having the lengths of two legs of 12 cm and 4 cm. Each tile costs Rs. 15. How much will it cost to fill the lounge of 8 meters length and 6 meters width with these tiles? (c) During a sale a clerk was putting new price tags on each item. On one sweater, he accidentally raised the price by 20% instead of lowering the price by 20%. As a result the price on the tag was Rs. 80 too high. What was the original price of the sweater? (d) If in a certain language, BROTHER is written as QDGSNQA, then in the same language, SISTER would be written as?
#cssnexus #Sampling #Non-Probability Sampling #Convenience Sampling
CSS Nexus6 Nov 2026
CSS 2021General Science & AbilityQ. 8
(a) Find out the correct word from the given jumbled spellings: (i) UORSEIS (ii) REGAHT (iii) TYLEAL (iv) RAMYR (v) RYUHR. (b) Find the number of triangles in the following two images: (i) a triangle with three lines drawn from its corners through a common central point to the opposite sides (ii) a five-pointed star. (c) Calculate the total area and perimeter of the given shape: a 12 cm square, with a right-angled triangle of slant side 15 cm on its left, and a square beneath the triangle. (d) Find the missing numbers in the given series: (i) 4, 18, ?, 100, 180, 294 (ii) 15, 31, 63, 127, ? (iii) 1, 8, 27, 64, 125, ? (iv) 132, 156, ?, 210, 240 (v) 8, 24, 12, 36, 18, 54, ?
#cssnexus #Jumbled Words #Counting Triangles #Composite Shapes
CSS Nexus6 Nov 2026
CSS 2020General Science & AbilityQ. 7
(a) Mushtaq, Pervaiz, Ehsan, Umair and Saleem are friends having different heights and weights. Mushtaq weighs four times as much as Pervaiz and Pervaiz weighs double than Ehsan, Ehsan weighs half as much as Umair and Umair weighs half as much as Saleem. (i) Who is the heaviest among five friends? (ii) Who is the second heaviest? (iii) Who has lowest weight? (iv) Who are equal in weight? (v) Mention the descending order. (b) A farmer needs to build a boundary wall around his farm. If the area of farm is 484 m², what will be the total area of the wall if it is two meters high on three sides and three meters high on one side? (c) Five girls A, B, C, D, E and four boys W, X, Y, Z have to go to a trip in three cars, car-1, car-2 and car-3. The following restrictions for seating in car are to be observed: (i) Only three persons can sit in one car (ii) At least one boy and one girl must be in each car (iii) A and D should remain together (iv) Z cannot sit with B or C in the same car. Distribute boys and girls in three cars. (d) What are social skills? Describe four causes of weak social skills.
#cssnexus #Analytical Reasoning #Weight Comparison Puzzle #Area of Wall
CSS Nexus6 Nov 2026
CSS 2019General Science & AbilityQ. 7
(a) Moiz and Mair share a lottery win of Rs. 2000 in the ratio of 1:4. Moiz then shares this part between himself, his wife and his son in the ratio of 4:5:1. How much more does his wife get over his son? (b) A farmer keeps hens and rabbits on his farm. One day he counted a total of 70 heads and 196 legs. How many more hens than rabbits does he have? (c) What is polygon? Describe different types of regular polygon. (d) In a certain code computer is written as FRUVQNPC. How will MEDICINE be written in code language?
#cssnexus #Ratio and Proportion #Simultaneous Equations #Polygon
CSS Nexus6 Nov 2026
CSS 2019General Science & AbilityQ. 8
(a) Seven piano students T, U, V, W, X, Y and Z are giving a recital and their instructor is deciding the order in which they will perform; each student will play exactly one piece, a piano solo. The instructor must observe the following restrictions: X cannot play first or second; W cannot play until X has played; neither T nor Y can play seventh; either Y or Z must play immediately after W; V must play immediately after, or immediately before, U. If V plays first, which one of the following must be true? T plays sixth; X plays third; Z plays seventh; T plays immediately after Y; W plays immediately after X. (b) U = {whole numbers from 10 to 24}, A = {even numbers}, B = {numbers divisible by 5}. Write down the number of elements of A∩B. (c) In the given Venn diagram, A represents Americans, S represents scientists and P represents politicians, with regions labelled a to g. Identify: (i) Americans who are politicians but not scientists. (ii) Scientists who are politicians but not Americans. (d) Each packet of washing powder carries a token and 4 tokens can be exchanged for a free packet. How many free packets will I receive if I buy sixty four packets?
#cssnexus #Analytical Reasoning #Logic Puzzle #Sequencing Puzzle
CSS Nexus6 Nov 2026
CSS 2018General Science & AbilityQ. 8
(A) Police officers are in pursuit of a stolen vehicle. Officer Baker is directly behind the stolen car. Officer Lopez is behind Baker; Officer O'Malley is behind Lopez. Officer Reinhart is ahead of the stolen car and coming from the opposite direction. Officer Reinhart makes a U-turn and joins the pursuit. He pulls in behind Officer Lopez. Officer Baker pulls up on the driver's side of the stolen vehicle and Officer Lopez pulls up on the other side. Which officer is directly behind the vehicle? (B) Define a Histogram. How is it constructed? What information may be deduced from it? (C) Look at this series: F2, __, D8, C16, B32. What number should fill the blank? (D) In a certain code language LANDMINE is written as PYRBQGRC. How will HOMEMADE be written in that code language?
#cssnexus #Analytical Reasoning #Logic Puzzle #Histogram
CSS Nexus6 Nov 2026
CSS 2017General Science & AbilityQ. 7
(A) A man buys 5kg of meat at Rs.500 per kg. In addition, for every kilogram of meat purchased, he has to pay a consumption tax of 6% on the selling price. Calculate the total amount of money that he has to pay. (B) It takes Ali 30 minutes to mark a paper. Aslam only needs 25 minutes to mark a paper. If they both start marking papers at 10:00 AM, at what time they will finish marking at the same time? (C) Two bus tickets from Rawalpindi to Islamabad and three tickets from Rawalpindi to Murree cost Rs.770 but three tickets from Rawalpindi to Islamabad and two tickets from Rawalpindi to Murree cost Rs.730. What are the fares for cities Islamabad and Murree from Rawalpindi? (D) A told B that C is his father's nephew. D is A's cousin but not the brother of C. What relationship is there between D and C?
#cssnexus #Percentage #LCM #Simultaneous Equations
CSS Nexus6 Nov 2026
CSS 2017General Science & AbilityQ. 8
(A) Divide Rs.500 between Arham, Mariam and Sarim so that Arham gets 2/3 of what Mariam gets and Mariam gets 1/4 of what Sarim gets. Find the share of each. (B) A school has enough provision of food for 52 days. After 20 days a group of 400 students arrives and the food would have last for 24 days only. How many students are there in the school actually? (C) A man walks 2km towards North. Then he turns to East and walks 10km. After this he turns to North and walks 3km. Again he turns towards East and walks 2km. How far is he from the starting point? (D) In a certain code language COMPUTER is written as RFUVQNPC. How will MEDICINE be written in that code language?
#cssnexus #Ratio and Proportion #Inverse Proportion #Direction Sense
CSS Nexus6 Nov 2026
CSS 2016General Science & AbilityQ. 11
(a) A distribution company provides households to departmental stores within a 50 kilometers radius. The table below shows how far each departmental store is from the godown of the distribution company: 10 kilometers or less: 03 stores; 11 to 20 kilometers: 15 stores; 21 to 30 kilometers: 26 stores; 31 to 40 kilometers: 20 stores; 41 to 50 kilometers: 16 stores. (i) How many stores does the distribution company serve? (ii) What is the most common distance of stores from the company's godown? (iii) How many stores are 35 Km or more from the godown? (iv) What percentage of stores are 31 Km or more from the godown? (b) Ahmad, Ali, Akbar, Nasir and Shehbaz are students of a college having different heights and weights. Ahmad weighs thrice as much as Ali and Ali weighs 5 times as much as Akbar. Akbar weighs half as much as Nasir and Nasir weighs half as much as Shehbaz. (i) Who is the heaviest in weight? (ii) Who is the lightest in weight? (iii) Shehbaz is lighter in weight than which of the two students? (iv) Shehbaz is heavier than which of the two students? (v) Show the descending order of weights of the students.
#cssnexus #Data Interpretation #Percentage #Analytical Reasoning
CSS Nexus6 Nov 2026
CSS 2016General Science & AbilityQ. 12
(a) Classification of blood groups is based on the presence or absence of inherited antigenic substances on the surface of red blood cells. In a survey of British population the blood group distribution among 1000 people was as follows: 300 had blood group A, 325 had blood group B, 250 had O and 125 AB. Out of this group a person was selected at random, calculate his probability of having blood group AB. (b) Five friends Ahmad, Ali, Akbar, Nasir and Shehbaz went on summer vacation to five cities namely V, W, X, Y and Z by five different modes of transport, that is by bus, train, aeroplane, car and boat from point A. Akbar went to Y by car and Ali went to X by air. Nasir travelled by boat whereas Shehbaz went by train. For X and W there is no bus service. The person who went to X did not use boat to travel. Now answer the following questions. (i) How did Ahmad travel and where did he go? (ii) Which mode of transport was used by the person who travelled to X city?
#cssnexus #Probability #Blood Groups #Analytical Reasoning
CSS Nexus6 Nov 2026