Sample test (Easy) Sultan Sial 2009 3 1 Sample questions 1 Sample questions 1.1 If x = 3, which of the following expressions has the smallest value? (A) x2 − 3 (B) (x − 3)2 (C) x2 (D) (x + 3)2 (E) none of the other answers is correct 1.2 10 + 103 equals (A) 2.0 × 103 (B) 8.0 × 103 (C) 4.0 × 101 (D) 1.0 × 10 4 (E) none of the other answers is correc 1.3 1 + 1/3 + 1/9 + 1/27 = (A) 40/27 (B) 32/39 (C) 71/39 (D) 32/27 (E) none of the other answers is correct 1.4 35.5 kg of rice need to be put into small bags that hold 0.5 kg. How many bags are required? (A) 36 (B) 18 (C) 53 (D) 70 (E) none of the other answers is correct 1.5 Rustam and Haris share a pizza. Rustam ate 2/5 of the pizza. Haris ate half as much as Rustam. What percentage of the pizza was left? (A) 20 (B) 30 (C) 40 (D) 50 (E) none of the other answers is correct 1.6 If the numbers 4/5, 81% and 0.801 are arranged from smallest to largest, the correct order is (A) 4/5, 81%, 0.801 (B) 81%, 0.801, 4/5 (C) 0.801, 4/5, 81% (D) 81%, 4/5, 0.801 (E) none of the other answers is correct 1.7 If the sales tax rate were to increase from 15% to 15.5%, then the tax on a Rs. 1000 item would increase by Rs. (A) 155.00 (B) 5.00 (C) 0.5 (D) 0.05 (E) none of the other answers is correct 1.8 In a survey of 600 people it was found that 58% have black hair, 12% have brown hair, and the rest have other colours. How many people surveyed had hair colour that was neither black nor brown? (A) 30 (B) 160 (C) 180 (D) 200 5 1 Sample questions (E) none of the other answers is correct 1.9 If 6 x+1 3 = 2 , the x is (A) 1 (B) 2 (C) 3 (D) 4 (E) none of the other answers is correct 1.10 The areas of three squares are 16, 49 and 169. What is the average of their side lengths? (A) 8 (B) 12 (C) 24 (D) 39 (E) none of the other answers is correct Sample test (Hard) Sultan Sial 2009 3 1 Sample questions 1 Sample questions 1.1 If x and y are positive numbers and the average of 4, 20 and x is equal to the average of y and 16, then the ratio x: y is (A) 3:2 (B) 2:3 (C) 1:1 (D) 2:5 (E) none of the other answers is correct 1.2 There are more than 25 students in a math class at LUMS. There are more than 2 but fewer than 10 boys and more than 14 but fewer than 23 girls in the class. How many different class sizes would satisfy these conditions? ( A) 5 (B) 6 ( C) 7 ( D) 3 (E) none of the other answers is correct 1.3 How many integers can be expressed as a sum of three distinct numbers chosen from the set {4, 7, 10, 13, ..., 46} ? (A) 45 (B) 37 (C) 36 (D) 43 (E) none of the other answers is correct 1.4 Consider a circle. Ten distinct points are marked on the circle. How many different line segments can be drawn by joining any two of the points marked on the circle? (A) 9 (B) 45 (C) 17 (D) 66 (E) none of the other answers is correct 1.5 The lengths of the three sides of a triangle are 7, x + 4 and 2x + 1. The perimeter of the triangle is 36. What is the length of the longest side of the triangle? (A) 7 (B) 12 (C) 17 (D) 15 (E) none of the other answers is correct 1.6 A rectangular building block has a square base. Its height is 9 units. If the block has a volume of 1089 cubic units, what is the side length of the base? (A) 11 (B) 13 (C) 121 (D) 15 (E) none of the other answers is correct 1.7 There is one ship that is 200 metres in length. A second ship is 100 metres in length. The two ships travel at constant but different speeds. When travelling in opposite directions, it takes 10 seconds for them to completely pass each other. When travelling in the same direction, it takes 25 seconds for them to completely pass each other. The speed of the faster ship, in metres per second, is 5 1 Sample questions (A) 12 (B) 14 (C) 18 (D) 21 (E) none of the other answers is correct 1.8 How many integer values of x satisfy (A ) 0 (B) 1 (C ) 2 x−1 3 5 <7< x+4 5 ? (D ) 3 (E) none of the other answers is correct 1.9 On an island there are two types of inhabitants: Heroes who always tell the truth and Villains who always lie. Four inhabitants are seated around a table. When each is asked ’Are you a Hero or a Villain?’, all four reply ’Hero’. When asked ’Is the person on your right a Hero or a Villain?’, all four reply ’Villain’. How many Heroes are present? (A) 0 (B) 1 (C) 2 (D) 3 (E) 4 1.10 If f ( x) = px + q and f ( f ( f (x))) = 8x + 21, and if p and q are real numbers, then p + q equals (A ) 2 (B) 3 (C ) 5 (D ) 7 (E) none of the other answers is correct Sample Questions (Chemistry) for LUMS SSE Admission Test The admission test (Chemistry), for LUMS SSE, would consist of several multiple choice questions (MCQ) with 5 options. There will be one mark for each correct answer and 0.25 marks will be deducted for every wrong answer. The time duration for this test would be about 90 sec/question. Calculators will not be allowed during the exam but a simple periodic table will be provided. The questions below are just an indication of general format of the exam that would consist of almost equal concepts from physical/inorganic/organic chemistry sections, and not only the concepts covered in these sample questions. 1. Titanium has an atomic number of 22. What is the electronic configuration of the titanium in TiCl4? 2. 3. (a) 1s22s22p63s23p63d24s2 (b) 1s22s22p63s23p63d2 (c) 1s22s22p63s23p64s2 (d) 1s22s22p63s23p6 (e) 1s22s22p63s23p64s24p2 Which one of the following ions is the smallest in size? (a) N3 (b) F (c) O2 (d) Na+ (e) K+ Identify the least stable ion amongst the following: (a) F– (b) Be– (c) B– (d) C– (e) H– 4. The transition metal vanadium exists in a range of different oxidation states. Two vanadium species are VO2+ and VO43–. The oxidation states of vanadium in these two species are, respectively, 5. (a) + 4 and + 5 (b) + 4 and + 8 (c) + 6 and + 5 (d) + 6 and + 8 (e) + 2 and - 3 In pure water at 5oC the hydroxide ion concentration is measured to be 4.0 × 10–8 M. The Kw and pH of pure water at this temperature will be, respectively, 6. (a) 1.0 × 10–14 and 7.0 (b) 1.0 × 10–14 and 6.6 (c) 1.6 × 10–15 and 7.0 (d) 1.6 × 10–15 and 7.4 (e) 1.6 × 10–14 and 7.4 The energy of an electron in the first Bohr orbit of H atom is 13.6 eV. The possible energy value of the excited state for electrons in Bohr orbits of hydrogen is (a) 3.4 eV (b) 4.2 eV (c) 6.8 eV (d) 3.4 eV (e) Energy of electron cannot be calculated using these information 7. The radioactive decay of sodium-24 has a half-life of 14.6 hours. How many grams of the radioactive sodium-24 will be left after 73 hours if the initial weight of the sample is 4g? (a) 0.064 g (b) 0.032 g (c) 0.125 g (d) 0.26 g (e) 0.25 g 8. For a fixed amount of an ideal gas at fixed pressure, changing the temperature from 100 oC to 200 K causes the gas volume: 9. (a) To be doubled (b) To decrease, but not to half of its original volume (c) To increase, but not to twice its original volume (d) Not to change (e) To be reduced to half 5.00 g of nitrogen is completely converted into an oxide of nitrogen. The mass of the oxide formed is 19.3 g. The empirical formula of the oxide would be 10. (a) NO (b) N2O3 (c) NO2 (d) N2O5 (e) N2O If the standard electrode potentials for the couples A+/A, B+/B, C+/C are +2.0 V, +1.0 V, and 0.5 V respectively, which is the strongest reducing agent? 11. (a) C (b) B+ (c) C+ (d) A+ (e) A What is the IUPAC name of the following compound? (a) 2-hydroxy-2-methyl butanoic acid (b) 2,2-dimethyl 2-hydroxy propanoic acid (c) 3-hydroxy-3-methyl butanoic acid (d) 3-(hydroxymethyl) butanoic acid (e) 12. 13. 14. 3-acetoxy-tertiary butanol What is the total number of sigma and pi bonds found in the following compound? (a) 6 sigma, 4 pi (b) 4 sigma, 6 pi (c) 11 sigma, 4 pi (d) 4 sigma, 11 pi (e) 12 sigma, 3 pi Which of the following is the strongest acid? (a) CH3FCHCO2H (b) CH3ClCHCO2H (c) CH3BrCHCO2H (d) CH3ICHCO2H (e) FCH2CH2CO2H The hydrocarbon which can react with sodium in liquid ammonia is (a) (b) (c) (d) (e) 15. All of the above can react equally What is the major product obtained from the following reaction? (e) None of these products Key to Above Sample Questions 1 D, 2 D, 3 B, 4 A, 5 D, 6 A, 7 C, 8 B, 9 D, 10 E, 11 C, 12 C, 13 A, 14 D, 15 C Biology Test: sample questions 1. A short segment of DNA produced by discontinuous replication elongating in 5` – 3` direction away from replication fork is a. Leading strands b. Lagging strand c. Okazaki fragment d. A primer 2. The position of a gene on chromosome is called a. Locus b. Gene c. Genotypes d. Phenotypes 3. The limit of resolution of a light microscope is approximately? a. 0.2um b. 200nm c. 0.2nm d. 200um 4. In fish organ of exchange of respiratory gases a. Gills b. Nephridea c. Skin d. Kidney 5. Peptide bond is a link between a. C – H b. C – O c. C – N d. N – O 6. Major cell infected by HIV is a. T. Lympocyte b. Suppressor T. Lymphocyte c. Platelets d. RBC 7. Which of the following is not found in all bacterial cells? a. Cell Membrane b. Nuclear membrane c. Ribosome d. Capsule 8. Substance which prevent clotting of blood. a. Insulin b. Haeme c. Heparin d. Fibrinogen 9. An environment that resemble to the internal solution is a. Hypotonic environment b. hypertonic environment c. Isotonic environment d. Imbalance environment 10. Each muscle cell contain a large number of a. Myofibrils b. Actin and myosin fibrils c. Sarcomeres d. A bands 11. Energy for muscle contraction comes from a. ATP produced during aerobic respiration b. By creation Phosphate c. By lactic acid produced during anaerobic respiration d. All the above resources 12. What is a prototroph? a. A cell that can live on simple sugars and inorganic ions alone b. A cell that can photosynthesize c. A cell that cannot live in the presence of oxygen d. A cell that reproduces by binary fission or sexually e. A cell that uses carbon dioxide to form methane 13. Which RNA polymerase would be expected to direct synthesis of RNA of 5.8S, 28S, and 18S. a. Eukaryotic RNA polymerase I b. Eukaryotic RNA polymerase II c. Eukaryotic RNA polymerase III d. Mitochondrial RNA polymerase e. Prokaryotic RNA polymerase 14. In a cross between Aa and AA genotypes what percentage of the offspring are Aa. a. 10 b. 25 c. 50 d. 75 e. 100 15. Diploid number of chromosomes in a somatic cell are written as a. 4n b. 3n c. 2n d. 6n e. 1n 16. Human blood group ABO types are an example of dominance. a. incomplete dominance b. complete dominance c. codominance d. epistasis e. suppression

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