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6 solved questions on Ratio and Proportion
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 2025General Science & AbilityQ. 6
(a) In an annual sale, Saima buys a Fridge and a Freezer. The sale offers 15% off everything and she pays a total of Rs. 57,120. If the price of a freezer, before the sale, is Rs. 40,000. What was the price of the Fridge before the sale? (b) Mr. Rasheed pays a deposit of Rs. 60,000 followed by 36 equal monthly payments. The total amount that he pays is 127% of the basic price of Rs. 3,360,000. Calculate Rasheed's monthly payment. (c) Divide Rs. 600 among A, B and C so that Rs. 40 more than 2/5 of A's share, Rs. 20 more than 2/7 of B's share and Rs. 10 more than 9/17 of C's share may be equal. (d) Find out the correct words from the jumbled spellings given below: (i) TEANAIRM (ii) VAGNACEXETRA (iii) VADIELTIONC (iv) PKUNYBARTC (v) TAESROSNC.
#cssnexus #Percentage #Discount #Instalments
CSS Nexus6 Nov 2026
CSS 2024General Science & AbilityQ. 7
(a) A man travels over the path of a right-angle triangle having base and hypotenuse 4 and 5 kilometers, respectively. After a complete round he continues in the same direction for 6 km and then turns at 90 degree and continues for another 8 km. How long he has travelled and how far he is from his starting point? (b) Hassan, Ali, Akbar, Nasir and Shahbaz are classmates having different pocket money. Hassan's pocket money is one third as much as of Ali and Ali has five times as much as Akbar. Akbar has thrice as much as Nasir and Shahbaz gets equal to Nasir and that of Ali. If they get Rs. 8000 then find the pocket money of each. (c) What will be the surface area and volume of a sphere if it has a radius of 7 m? (d) Distribute Rs. 4320 among Zain, Aslam and Ashraf in such a way that if Zain gets 2 parts then Aslam gets three parts, whereas Ashraf gets seven parts.
#cssnexus #Pythagoras Theorem #Distance and Displacement #Ratio and Proportion
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 2018General Science & AbilityQ. 7
The breakdown of average monthly expenditure for a family is given in a pie chart: Food 15%, Utilities 8%, Local tax 10%, Rent 26%, Childcare 15%, Travel 10%, Other ?%. (A) Calculate from the figure what percentage of the family's expenditure is on 'other'? (B) Approximately what fraction of the family's monthly expenditure do 'utilities', 'rent' and 'food' represent? (C) If the family spends Rs. 11600 on utilities, how much is the family's total expenditure? (D) 'Other' expenditure comprises savings, entertainment and luxury items, which are spent in the ratio 3 : 4 : 1. Calculate how much the family saves each month if monthly income is Rs. 24,000.
#cssnexus #Pie Chart #Data Interpretation #Percentage
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