DS TUTORIAL

1⃣0⃣ If a = 1.323323332... b = 0.101101110... and 1 / ac - bc = 27 then what is the value of c ? A) 1/33 B) 1/ 30 C) 33/100 D) 0.3 Answer 1⃣1⃣ Which of the following inequality is equivalent to 6 - 4x/5   +  2x - 4/4 >  1 - x A) x < 8 / 7 B) x > 8/7 C) x= 8/7 D) -6x + 20x < 14 Answer 1⃣2⃣ There are certain number of hens and rabbits in a room . The number of feet of the hens exceeds the number of feet of the rabbits by 12 , while the number of heads of the hens exceeds the number of heads of the rabbits by 28. Then the number of hens and rabbits respectively in the room are A) 50 and 22 B) 60 and 32 C) 52 and 24 D) 48 and 20 Answer 1⃣3⃣ The solution set of the equation 2x + 3(5 - 3x) = 7(5 - x) is equal to A) {5} B) {   } C) {⅚} D) {⅗} Answer 1⃣4⃣ . A boy has two twin younger sisters . If the sum of the ages of the three children is 48 and the difference between his age and the age of one of his younger sister is 3 , then his age is equal to : A. 15 B. 17 C. 18 D. 14 Answer

6⃣ Let A and B be two sets such that the numbers of elements in A and B are 11 and 15 respectively . if the number of elements in the intersection of two sets is 5 , then the number of elements in their union is given by : A. 26 B. 21 C. 18 D. 20 Answer 7⃣ If A = {3 , 4}    B = { {3} , {4} }     C = {{3} ,3 } which of the following not true A )  A n B B )  A n C = {3} C )  (A n C) element of B D )  B n C = {3} Answer 8⃣ The set {0} is not a subset of one of the following sets. A) {0} B) { {0} } C) {0,ø} D) None of the above Answer

1⃣ {3x - 1 , if x > 3 } if f (x) = {x² - 2 ,if - 2 ≤ x ≤3 } {2x + 3 , if x < -2 ,} Then what is f [ - 3/2 ] A) 1/4 B) 0 C) -1/4 D) 9/4 Answer 2⃣ . Which one of the following sets is a function ? A. f={(0,1),(2,7),(3,-1),(2,-2)} B. g = {(x,y): y² = x ; y = 1 , -2 , 3 } C. h ={(x ,y):x=| y |:element of Z } D. k = {(x ,y) : | x | = | y | ; x , y element of z ) . E. m = {( x , y) : | x | = y² } Answer 3⃣ . Which of the following is necessarily true ? A. x- [ x ] ≥ 0 B. x- | x | ≥ 0 C. x² - x ≥ 0 D. | x | -x² ≥ 0 Answer 4⃣ Which of the following is a statement ? A. Tokyo is a name of a beautiful city B. 7 is an even integer C. I wish you were my brother D. You have to eat your dinner on time. Answer

1⃣6⃣ A coil and a permanent magnet are set in relative motion. Which one of the following statement is NOT correct about induced electromotive force? A. Coil with larger number of turns produce greater induced electromotive forces . B. Moving a magnet relative to the coil and the coil relative to the magnet with equal speed will produce the same electromotive force . C. The magnitude of the induced electromotive force is directly proportional to the relative velocity between the two . D. The direction in which the coil moves relative to the magnetic field does not have any effect on the induced electromotive force . 1⃣7⃣ What is the advantage of using alternating current in transmission of electric energy? A. It enables to reach the consumers at very high voltage . B. It enables a transformer to increase or decrease the voltage as required . C. It completely avoids energy loss due to heating D. It uses very high current in the transmission line . 1⃣8⃣ A student wants to measure the length and height of the school laboratory. There is a vernier calipers, meter stick, micrometer screw gauge and meter tape measuring instruments in the laboratory. Which one of the following measuring instrument and unit is appropriate for the measurement? A. Meter tape and meter B. Vernier calipers and millimeter C. Micrometer screw gauge and millimeter D. Meer stick and centimeter 1⃣9⃣ Which of the following pair of vectors are collinear? A) [⁴₂] , [¯⁴_₂] B) [⁴₂] , [¯⁴₂] C) [⁴₂] , [⁴_₂] D) [¯⁴_₂] , [⁴_₂]

1⃣1⃣ Which of the following is correct about an astronaut inside an international space station orbiting the Earth? A. Since the Earth exerts equal forces on both the astronaut and the space, the astronaut experiences weightlessness . B. The astronaut experiences weightlessness since the Earth's gravitational force on the astronaut is less than the Earth's force on the space station . C. The astronaut’s experiences weightlessness because the space station and the astronauts are freely falling towards the center of the earth. D. Because the Earth exerts a large force on the astronaut than on the space station, the astronaut experienced weightlessness . 1⃣2⃣ Two masses of m₁, and m₂ are balanced on a horizontal stick of negligible mass. pivoted at the center of mass of the system. If the distance of m₁ to the center of mass is 3m and the distance from the mass m₂ to the center of mass is 1m the ratio of m₁ to m₂ or m₁/m₂ is A. ⁴/₃ B. ¾ C. 3 D. ⅓ 1⃣3⃣ Identify the correct statement about energy, work, and force. A. Work is said to be done by a force whenever the force is exerted on the object . B. Force is a vector quantity, whereas work and energy are scalars . C. Machine can multiply energy, but not force. D. Energy cannot be possessed by an object at rest . 1⃣4⃣ A crane raises 75kg of bricks from the ground to a height of 45m in 52s at a constant speed. The average power of the crane is... A. 3,375W B. 144W C. 14.4W D. 649W 1⃣5⃣ . Which of the following is a correct statement about the intensity of sound ? A. It is energy transmitted per unit time . B. It is the product of power of a sound and area through which the sound is transmitted. C. It is inversely proportional to the square of the distance from the source of sound . D. It is directly proportional to the square of the distance from source.

9⃣ Which of the following statements is correct about thermodynamic processes? A. An isobaric process occurs at constant volume and its p-v diagram is a vertical line . B. An isothermal process occurs at constant pressure and its p-v diagram is a linearly increasing plot . C. An isochoric process occurs at constant pressure and its p-v diagram is horizontal . D. In an adiabatic process, there is no heat removed from or absorbed by the system and its p-v diagram is a decreasing plot . 1⃣0⃣ Which one of the following is true about fundamental forces? A. Gravitational force is a long-range attractive force between particles due to their charges . B. Strong nuclear force is a short - range that holds protons and neutrons to form atomic nucleus . C. A weak nuclear force is an extremely short - range force, that binds protons and neutrons together in the nucleus . D. Electromagnetic force is a long-range attractive force between particles due to their masses.

5⃣ Equilibrium is the state of an object when A. the net force acting on it is constant . B. the object has a constant linear acceleration . C. the net force and net torque are both zero . D. the object has constant angular acceleration . 6⃣ The fulcrum of a uniform 20kg seesaw that is 4.0m long is located 2.5m from one end. A 30kg child sits on the long end. The weight of a person sitting on the other end in order to balance the seesaw is A. 750 N B. 850 N C. 433 N D. 567 N 7⃣ A material rod that is 4m long and 0.5 cm² in cross - sectional area is found to stretch 0.2cm under a tension of 500N. The Young's Modulus of this material is... A. 1 ×10⁴ N/m² B. 1 × 10⁸ N/m² C. 2 ×10¹¹ N/m² D. 5 × 10⁸ N/m² 8⃣ Which of the following is correct? A. Temperature is the measure of the amount of energy that flows from hot to colder region. B. Heat is energy that can be transferred from one object to another at equal temperature. C. Internal energy of a system is independent of its mass or the  number of molecules in the system.  D. Temperature is a measure of the average molecular kinetic energy of a gas.

1⃣ Which one of the following is correct about diffraction of light? A. Diffraction of light passing through a circular aperture results in parallel bright and dark fringes. B. Diffraction of light passing through a single slit produces bright and dark fringes of equal widths. C. As the width of the slit decreases, the width of the central bright fringe decreases too. D. As the number of slits in diffraction grating increase, the bright fringes appear brighter, taller and narrower. 2⃣ In Millikan's oil drop experiment, A. The mass of the droplet was determined by measuring its terminal velocity in the absence of electric field . B. Tiny droplets of negatively charged mineral oil where balanced under the action of downward electric force and weight. C. The electric field between the anode and cathode can be increased by decreasing the distance and the potential difference between them . D. The charge of the droplet was found to be half a integer multiple of electron charge . 3⃣ Many chemical reactions release energy. Suppose that at the beginning of a reaction, an electron and a proton are separated by 0.110 nm, and their final separation is 0.100nm. The change in the electric potential energy in this reaction (in eV) is A. 14.4eV B. 27.5eV C. 1.30eV D. 13.1 eV 4⃣ Which of the following is true about galvanometer? A. A galvanometer can be converted to a voltmeter by connecting a small resistance in parallel with the galvanometer.  B. To use a galvanometer as an ammeter that can measure large currents, we need to increase its resistance by connecting a large resistance in series with the galvanometer . C. A galvanometer can be converted to an ammeter that can read large currents by connecting a small resistance in parallel with it, and can be converted to a voltmeter by connecting a large resistance in series with the galvanometer.  D. To use a galvanometer as an ammeter that can read large voltage, we connect a small resistance in series with the galvanometer.

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🅷🅸🆂🆃🅾🆁🆈 🅴🆇🅰🅼 1. The event that changed the way of historical studies in Ethiopian in 1960’s was? A. The establishment of the Institute of Ethiopian Studies (IES) B. The arrival of European missionaries to Ethiopia  C. The development of long-distance trade  D. The Ages of explorations and discoveries  2. The ancient European Periodization began with:- A. The time of the rise of Roman civilization in 2000 BC B. The rise of the Phoenician civilization in 1000 B.C  C. The time of the rise of Greece civilization in 2500 BC D. The of the decline of Roman Civilization in 5th C AD 3. Is the idea that the universe began as just a single point, then expanded and  stretched to grow as large as it is right now is… A. The Creationist Theory  B. The Big Bang Theory  C. Scientific or Evolutionary theory  D. The theory of Darwinism   4. The two African Apes Gorilla’s and Chimpanzees areclassified as a member of  a different zoological family from humans and which is often called……. A. Pongidae B. Australopithecine C.Neanderthalensis D. Hominids  5. The Species of Australopithecines that was discovered by Paleoanthropologists form South Africa was... A. Australopithecus Anamnesis B. Australopithecus Afarensis C. Australopithecus Aetheopicus  D. Australopithecus Africanus 6. The Ethiopian Paleoanthropologist who got involvement in the discovery of  Lucy was  A. Zeresenay Alemseged B. Berhane Asfaw C. Bahiru Zewude   D. Yohannes Haile Selassie 7. The first human being to master the use of fire around 1.5 million years ago was  A. Homo Habilis B. Homo Sapiens C. Homo Erectus D. Archaic Homo Sapiens 8. The Religion that ranked as2 nd Monotheistic religion next to Judaism in ancient time was A. Buddhism            C. Hinduism  B. Zoroastrianism   D. Aryanism

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