36 solved questions on Quantitative Ability
(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
(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
(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
(a) Calculate the marked price of the sculpture if it is sold for Rs. 79950 after a discount of 18%. On another day, if 10% discount is given on the marked price of the same sculpture before it is sold at a further discount of 8%. Would the sale price still be Rs. 79950? (b) Majid pays a total of Rs. 51520 for his car insurance. The total is made up of a basic charge plus 15% sales tax. Calculate the amount of sales tax that Majid pays. (c) A camp site in the shape of a rectangle has sides (3x+6) m and (x+1) m and the length of the diagonal is (4x+1) m. Find the area and the perimeter of the camp site. (d) Arrange the following fractions in the descending order: (a) 7/12, 4/7, 9/14, 25/42 (b) 5/8, 7/12, 5/9, 13/24 (c) 6/35, 5/21, 2/7, 4/15 (d) 2/5, 6/11, 7/15, 9/20, 13/25 (e) 1/5, 2/7, 3/8, 4/13, 5/17.
#cssnexus #Successive Discount #Sales Tax #Quadratic Equation
(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
(a) If the sum of four numbers is 105. When 03 is added to a number, twice of another number, five times of third number and fourth number become equal to each other. What are these numbers in ascending order? (b) Find out the correct word from the given jumbled spellings: (i) UCTREUTRS (ii) LOVONAC (iii) CIHPROSTATAC (iv) YNTIAUMH (v) NNTHORER. (c) Find the missing numbers in the series below: (i) 121, 11, 81, 9, ?, 7 (ii) 100, 50, 25, ?, 6.25 (iii) 4, 9, 64, 125, 1296, ? (iv) 2, 5, 12, 24, 48, ? (v) 44, 22, 66, 33, 132, ? (d) If the sum of three digit number is 15 and sum of 10th and unit digit is 12. The difference of unit digit from 10th digit is equal to 02. What is the three digit number?
#cssnexus #Linear Equations #Jumbled Words #Number Series
(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
(a) A man purchases a car in an amount of Rs. 2,400,000 in which he pays one-fourth extra as profit. Find the original amount of car and the amount of profit. (b) Twelve men can complete a job in twenty-four days. After four days four person quit. In how many days this job will be completed by the remaining persons. (c) The shadow of a 10 m tall tree is falling on a high rise building and its height is 100 m. If the tree is 20 m away from the wall, at what distance from the wall is the light source? (d) There are three cars and start moving in such a way that car A and B are moving opposite with speed 60 and 100 km/h. Car C is moving perpendicularly to both with speed 80 km/h. What is distance after 15 minutes between (i) A and B (ii) A and C (iii) B and C?
#cssnexus #Profit and Loss #Time and Work #Similar Triangles
(a) A telephone company charges initially Rs. 0.50 and then Rs. 0.11 for every minute. Write an expression that gives the cost of a call that lasts N minutes. (b) Find the missing number in the series below: (i) 1, 8, 4, 27, 9, ? (ii) 3, 6, 8, 16, 18, ? (iii) 2, 8, 512, ? (iv) 81, 9, 64, 8, ?, 12 (v) 6, 11, 21, 36, 56, ? (c) The perimeter of the rectangle given below is 114 cm. Find the area of the rectangle. (Top side (3x-y) cm, bottom side (2x+y) cm, right side (2x-3) cm.) (d) Ahmad stands at point D, 2 m in front of a spotlight at point A. He is 1.6 m tall and is facing the wall of a building which is 10.5 m away from him. How tall (BC) is his shadow on the wall of the building?
#cssnexus #Algebraic Expression #Number Series #Series Completion
(a) Ali is standing 10 meters away from a tree. The distance of his eyes from his feet is 1.5 meter. Given that the distance from his eyes to the top of the tree is 15 meters, find the height of the tree. (b) Find out the correct word from the jumbled spellings given below: LNUGEF, CKANS, CIREFE, EERAANMOGTP, MNIKPPU. (c) Draw and write the total number of lines of symmetry in a regular hexagon and octagon. How many lines of symmetry are there in a circle? (d) The height of the Egyptian pyramid is 146.6 meters and a base length is 230.6 meters. Find the volume of that pyramid.
#cssnexus #Pythagoras Theorem #Height and Distance #Jumbled Words
(a) Ali buys an oven for Rs. 36800 and sells it at a gain of 8.5%. For how much does he sell it? (b) A card is drawn at random from a box containing 12 cards numbered 1, 2, 3, 4, 5, ..., 12. Find the probability of drawing (i) '8', (ii) an even number, (iii) a perfect square, (iv) a negative number and (v) a number less than 13. (c) The scintillation nuclear radiation detector detects the alpha rays per second. When the energy of the alpha rays (Eα) in MeV increases, the number of counts (Nc) on the detector also increases linearly as shown in the table below: Eα (MeV): 0.25, 0.45, 0.65, 1, 1.4; Nc: 17500, 23500, 29500, 40000, 52000. Draw the graph of Nc as a function of Eα (MeV) and find the energy of unknown alpha ray if the number of counts are 31600. (d) The y is directly proportional to x² and y = m for a particular value of x. Find an expression for y in terms of m, when this value of x is doubled.
#cssnexus #Profit and Loss #Percentage #Probability
(A) Find the area of a rectangular field whose length is 20 m and the length of its diagonal is 25 m. (B) A Crow travels 5 km due South, 3 km due West, 4 km due North and 2 km toward South-East. How far is the crow from its starting position? (C) Three persons, Zain, Ali and Umar started a business with Rs. 150,000, Rs. 190,000 and Rs. 120,000 respectively. Zain manages the business and receives an allowance of Rs. 160,000 for this management. After 5 months Ali withdraws Rs. 90,000 and business is closed after 9 months. What did each receive in the profit of Rs. 580,000? (D) Mst. Razia Begum died leaving behind her property of Rs. 802,500 which was to be distributed among her husband, her mother and two daughters. The husband got 1/4, mother got 1/6 and remaining for 2 daughters. Rs. 7500 was spent on her burial. Find the share of each one.
#cssnexus #Area of Rectangle #Pythagoras Theorem #Direction Sense
In a certain country, 7% of the total workforce is employed in tourism. 24.4 million overseas visitors came to this country in 2014. 2014 was a record year for inbound tourism. This level of visitors was 3% higher than in 2013. It eclipsed the previous record of 24 million visitors recorded in 2008. In 2014 the average overseas visitor spent US$ 110 but average daily spend per visitor in 2013 was US$ 60 while in 2014, it was US$ 76.20. (A) What percentage increase in daily average amount spent occurred between 2013 and 2014? (B) How many visitors came to this country in 2013? (C) What was the approximate percentage increase on the previous record number of visitors? (D) If there are 30 m people employed in this country's workforce, how many work in the tourism sector?
#cssnexus #Data Interpretation #Percentage Increase #Reverse Percentage
(A) The sum of two numbers is 48. If the smaller number is one-fifth of the larger number, find the two numbers. (B) Find out the correct word from the jumbled spellings given: IUPNRT, AERPSTEL, LLARIVTTOUE, DCAAOOV, ANAISSSOITANS. (C) A sphere of diameter 26 cm is half filled with honey. The honey is poured into a cylindrical beaker of diameter 16 cm. Find the depth of honey in the beaker. (D) The breadth, length, and height of a room is 14 feet, 20 feet and 10 feet respectively. There is also a door of room having height 8 feet and width 5 feet. Two windows of 4 feet by 5 feet are also there. The cost of paint and labour inside room is Rs. 100 per square foot. How much will it cost to paint the inner walls and roof of the room?
#cssnexus #Linear Equations #Jumbled Words #Volume of Sphere
(a) For his morning walk Aslam went 110 meters towards east from his house and then turned right to keep walking for 40 meters before turning right again. After continuing to walk for 50 more meters, he turned right again and kept walking for another 120 meters, before he sat down on a bench at the park. How far was the bench located from his house? (b) The income of a company decreased by 10% and 15% in two successive years. What is the percentage of decrease in income after two years? (c) What do you understand by Mental Ability Scales? Differentiate between Aptitude and Intelligence? (d) Discuss the factors affecting Intelligence.
#cssnexus #Direction Sense #Pythagoras Theorem #Successive Percentage
(a) The sum of three consecutive odd numbers is 273. What are the three odd numbers? (b) Find the missing number in the given series: (i) 4, 16, 36, 64, ?, 144 (ii) 30, 29, 27, ?, 20, 15 (iii) 1, 7, 15, 25, ?, 51 (iv) 0, 2, 6, 12, 20, 30, ? (v) 48, 24, 72, 36, 108, ? (c) Find out the correct word from the given jumbled spellings: (i) THRSI (ii) GNDREA (iii) SCHAMOT (iv) ONLNDO (v) HIODALY. (d) Sara's mother is 6 times older than Sara, whereas her brother Ali is twice as old as Sara. In three years' time the sum of their ages will be 72. How old are Sara, Ali and their mother now?
#cssnexus #Consecutive Numbers #Number Series #Series Completion
(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
(a) A man is now 3 times as old as his son. In ten (10) years time, the sum of their ages will be 76. How old was the man when his son was born? (b) How many tiles of 20 cm² will be required to have a footpath 1 m wide carried around the outside of grassy plot 24 m long and 14 m broad? (c) Mr. Faheem has dinner with his family at a restaurant which offers a 10% discount on food. The marked price of the food that they order was Rs. 15000. Given that there was a service charges of 10% and GST is 17%, calculate the total amount of money he has to pay. (d) Mr. Khawaja walked for 45 minutes at the rate of 3 km/h and then ran for half an hour at a certain speed. At the end of that time he was 6 km away from the starting point. How fast did he run?
#cssnexus #Age Problems #Area of Path #Mensuration
(a) A child went 90 m towards East, and then he turned Right and went 20 m. Subsequently he turned Right and after going 30 m he reached his uncle's house. From there he went 100 m to his North. Determine how far he is from his starting point. (b) The average of 11 numbers is 63, that of the first 6 numbers is 60 and that of the last 6 numbers is 65. Find the 6th number. (c) The following table shows some values of 'x' and the corresponding values of 'y' where y = x³ − 3x − 10: x = -3, -2, -1, 0, 1, 2, 3, 4; y = -28, __, __, -10, __, __, 8, 42. Complete the table and draw a graph between 'x' and 'y' to find the value of 'y' when x = 1.8 and value of 'x' when y = 10. (d) Mr. Raheel invests Rs. 60000 in an account that earns simple interest. At the end of 5 years, the investment is worth Rs. 85000. Calculate the rate of simple interest per year.
#cssnexus #Direction Sense #Pythagoras Theorem #Averages
(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
(a) Tariq can do a tailoring job in 6 hours. Sajid does the same job in 4 hours. Irfan does it in 8 hours. Tariq and Sajid start doing the work. Sajid leaves after two hours and Irfan replaces him. How long would it take to complete the work? (b) Find the missing number to complete each sum: (a) 9 + 8 - 5 = 2 × ( ) (b) 3 × 9 - 14 = 24 - ( ) (c) 15 ÷ 3 × 12 = 41 + ( ) (d) 24 ÷ 4 + 5 = 66 ÷ ( ) (e) 8 × 6 - 13 + 3 = 7 × 6 - ( ). (c) There are seven students in a group having ages 17, 17, 18, 18, 18, 19, 19. Calculate mean, median, mode and range of their ages. Also define these mentioned terms. (d) How does mental ability scales differ from IQ test?
#cssnexus #Time and Work #BODMAS #Missing Numbers
(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
(a) What do you understand by systematic sampling? Discuss its types. (b) Blood groups of inhabitants of a village were checked. It was found that 600 people possessed blood group A, 650 possessed blood group B, 550 had blood group AB and 200 have blood group O. (i) Calculate the probability of having blood group B. (ii) Calculate the probability of having blood group O. (c) A group of 50 men can construct 20 kilometer road in 40 days. How long will 70 men take to complete same length of road? (d) Zahid left a property worth Rs 1,750,000. His family had to pay off a debt of Rs 150,000. The rest of money was distributed between a son and a daughter. How much did each child receive if share of a son was double than that of a daughter?
#cssnexus #Systematic Sampling #Types of Sampling #Probability
(a) Moiz was trying to sleep at night but there was too much noise around him. His clock ticked every 5 seconds; a tap was dripping every seventh second and a pet dog snored every 12th second. He noticed on his clock that all three things happened together on the stroke of midnight. Find after how many seconds these three things happened together. (b) One pipe can fill a pool 1.25 times as fast as second pipe. When both pipes are opened they can fill the pool in five hours. How long will it take to fill the pool if only the slower pipe is used? (c) The cost of hiring a car for 2 days in 2018 was Rs. 264 which was 20% more than in 2013. What was the cost of hiring a car in 2013? (d) What do you understand by measure of central tendency? State its types.
#cssnexus #LCM #Pipes and Cisterns #Percentage
(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
(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
(A) It takes 3 liters of paint to cover an area of 24 square meters. What percentage increase in the quantity of paint would be required to cover an area of 50.4 square meters? (B) An automobile travels 3 km towards south, 4 km towards west, 5 km towards north and 2 km towards south-east. How far is it from its starting position? (C) Tahir started a business with a capital of Rs. 15,000. After 5 months Umar also joined him with an investment of Rs. 30,000. At the start of 9th month, Usman joined them by investing Rs. 45,000. At the end of the year they earned a profit of Rs. 406,000. Find the share of each one. (D) A man left his property of Rs. 640,000. A debt of Rs. 40,000 was due to him and Rs. 5,000 was spent on his burial. Distribute the amount between his widow, one daughter and two sons according to the Islamic Law.
#cssnexus #Percentage Increase #Direction Sense #Partnership Problems
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
(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
(A) Differentiate with examples between a 'Pictogram' and 'Histogram'. (B) The teachers of a certain school were asked to indicate the average number of hours they spend on marking students assignments each day. The following set of data was obtained: 6, 4, 3, 1, 2, 2, 3, 1, 4, 1, 2, 5, 3, 4, 5, 2, 2, 3, 3, 1, 2, 2, 3, 1, 4, 2. Construct a frequency table and draw a Histogram illustrating the results. (C) How many teachers responded to the survey? (D) What the longest number of hours and most common number of hours are spent?
#cssnexus #Pictogram #Histogram #Difference Between Pictogram and Histogram
(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
(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
(a) Define and draw the following: (i) Right-angle triangles (ii) Equilateral triangles (b) There are nine students in a group having ages 15, 15, 16, 16, 16, 17, 17, 18, 19. Calculate mean, median, mode and range of their ages. Also define the above mentioned terms.
#cssnexus #Geometry #Triangles #Statistics
(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
(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
(a) Differentiate between primary and secondary mental abilities. How the general mental ability scales differ from IQ test. (b) Y = mX + C is an equation of straight line. Draw a graph showing relationship between X and Y and relate the equation to the slope and intercept on the graph.
#cssnexus #Mental Abilities #IQ Test #Psychology
