90 QUESTION TMI DNS SCREENING TEST TMI DNS SCREENING TEST 1 / 90The specific resistance of the material of wire is 22×10−6 ohm-metre. The resistance of wire is 1.4 ohm diameter =1mm. Lengthof the wire is 0.25m 1m 0.5m 0.3m 2 / 90A capacitor of 3μF is changed to potential of 300V andanother of 2μF to 200V. Both are connected in parallel by the linepoles. The potential difference on the plates of capacitors afterconnection will be 260V 250V 200V 280V 3 / 90Amit and Ruchir are at distance of 90kms from each other.Both Amit Ruchir start walking towards each other at exactly thesame time. Amit starts walking at a speed of 10 km per hour andRuchir start at speed of 5km per hour. If they double their speedevery hour, then what distance Amit will able to cover when hemeets Ruchir? 40kms 30kms 60kms 45kms 4 / 90A test tube of mass W and external diameter D is partly filledwith mercury of mass m. It floats vertically in water. The tube isslightly depressed down and then released it oscillates in SHM ofthe period 2π√4(m + W)/πDg 2π√4mπD2g 2π√4m/πDg 2π√4(m + w)/πD2g 5 / 90A particle is rotating in ucm of radius 4cm with angularvelocity 10 radian/sec. The foot of the perpendicular moves alongvertical diameter in SHM. The maximum velocity of foot ofperpendicular is : 30 cm/sec 40 cm/sec 20 cm/sec 10 cm/sec 6 / 90A vessel contain one mole of oxygen gas at temperature T andpressure P. An identical vessel containing one mole of the He gasat temperature 2T has pressure of √2P P P/2 2P 7 / 90A particle is in ucm. From its every position a perpendicularis dropped. The point of intersection of the perpendicular and adiameter is called foot of the perpendicular and its motion isSHM: On only horizontal and vertical diameters Only on vertical diameters On any diameter Only on horizontal diameter 8 / 90A railway wagon of mass 105 kg is moving with the velocity0.5m/s beneath into it. The new velocity of wagon is 0.25m/s 0.12m/s 0.20m/s 0.16m/s 9 / 90Two cars were racing in a long distance race. Car A wastravelling at an average speed of 100km per hour and car B wastravelling at an average speed of 120km per hour. If the totaldistance covered was 720km , how many kilometers had car Acovered when car B arrived at the finishing point? 600 640 630 720 10 / 90The periodic time of a simple pendulum of length L is: ∞( 1/L ) ∞( 1/√L ) ∞L ∞√L 11 / 90The angle of elevation of a tower at a level ground is 3000.The angle of elevation become θ when moved 10m towards thetower. If the height of tower is 5√3m, what is the value of θ 45° 90° 75° 60° No answer 12 / 90Two simple harmonic motions of amplitudes a1 and a2 but atsame time period T act simultaneously on a particle in paralleldirection. The time period of resultant SHM is T/2 T√2 2T T 13 / 90The graph of velocity along y axis and displacement along xaxis is a: Straight line through the origin Straight line not through origin Inverted parabola symmetrical about y axis A parabolic symmetrical about y axis 14 / 90A block moving down a 300 incline decreases its speed from10m/s to 6m/s over a distance of 20m. The coefficient of frictionis 0.62 0.53 0.77 0.84 15 / 90The equation of the normal at the point (2,3) on the ellipse 3y = 8x − 10 3y − 8x + 7 = 0 8y + 3x + 7 = 0 3z + 2y + 7 = 0 16 / 90An electron of mass ‘m’ kg and charge ‘e’ coloumbs travelsfrom rest through a potential difference of ‘v’ volts. What is thefinal energy in joules me/v ev/m ev mev 17 / 90A satellite is orbiting around the earth at height ‘h’ from itssurface. The astronaut inside the satellite throws a body velocityupward with velocity ‘u’. the astronaut will see the body travelling; Along a parabolic path to a greater height and start revolving around the earth Vertically upwards to a greater height and then from there fall vertically downward Vertically upward to infinity Along parabolic path to a greater height and then start falling down along the parabolic path towards the earth 18 / 90The co-efficient of static friction between the factor of atruck and a box resting on it is 0.4. the truck is travelling at80km/hr. the least distance in which the truck can stop if the boxis not to slide is 24m 75m 63m 39m 19 / 90A man fires a rifle at a height 1.7m above the ground. Thebullet hits the window 30m above ground. If the bullet left theright with a speed of 100m/s, then the greatest sped with which ithits the window is 97.1m/s 81.7m/s 100m/s 94.3m/s 20 / 90Two SHM of same period and amplitudes a1 and a2 actparallel to each other on a particle and the phase difference iszero. The velocity of the particle under the resultant motion willbe zero at displacement equal to a1 + a2 a1 a1 − a2 a2 21 / 90If cosecA + cotA = 11/2, then tanA is 15/16 21/22 44/117 117/43 22 / 90400 men have provisions for 10 days. If 100 more men jointhem, for how many days provision last now? 11 10 0 8 23 / 90Length of the semi transverse axis of the rectangularhyperbola xy = 8 is 2 4 5 8 24 / 90A spring always retracts to 2/5 of the length of its perviousretraction after being stretched. After the first stretch it elongatesto a length of 175mm. approximately how long (in mm) will itreach after being stretched for the fifth time? 3 4 4.5 5 25 / 90Which planet is having retrograde rotation? Mars Earth Mercury Venus 26 / 90Numbers of letters skipped in between adjacent letters in theseries increases by one. Which one of the following series observesthe ruling given above? “DINSZ” “AEIMQ” “ACFJO” “EHKNQ” 27 / 90A company office have the following seating arrangement.Total number of 50 cubicles can seat 600 people. The cubicles areeither 10 seater 0r 20 seater. What is the raito of the number of 10seater cubicles to the number of 20 seater cubicles? 4:1 1:4 1:3 1:2 28 / 90If cosecx − cotx = 2, then cosecx is 3/5 4/5 1 5/4 29 / 90If cos(P + Q) =4/5 and sin(P − Q) =5/13 then the value of tan2P is 25/16 63/16 56/33 18/13 30 / 90If major and minor axis of ellipse is 8 and 4 then distancebetween foci of the ellipse is 2√3 4√3 8√3 16√3 31 / 90A block moving down at 30° incline decreases its speed from 10m/s to 6m/s over a distance of 20m. The co=efficient of friction is 0.62 0.53 0.77 0.84 32 / 90The volume of parallelepiped ai + j,j + ak and i + aj + k is minimum when the 0 √3 1/√3 1/3 33 / 90Total energy of the body projected vertically upward with velocity V is positive for V> Ve V> Vc V = escape velocity Ve V = critical velocity Ve 34 / 90The sub: duplicate ratio of 1:16 is 1:3 1:5 1:4 1:2 35 / 90Polyglot : languages :: Polydactyl : fingers/toes Polymath : mathematics Polynomial : names Polyandrous : genes 36 / 90If the length of the minute hand of the clock is 14 cm, thearea swept by the minute hand approximate to nearest integer in5 minutes is 48cm2 85cm2 51cm2 75cm2 37 / 90Nine medical school graduates Alan, Ben, Carla, Donna,Erik, Gary, Harry and Jenna sit in a row facing the speaker in amedical convention. Donna sits to left of Fiona. Ben sits betweenAlan and Jenna. Alan sits right to Erik. Gary sits in third place toright of Alan. Carla sits in third place to left of Fiona. Harry sitsright to Carla and left of Donna. Who sits in center? Gary Jenna Harry Carla 38 / 90Gradient of velocity-time graph tell us about the object’s Velocity Distance Acceleration Displacement 39 / 90High voltages lead to High resistance Less power loss High current More power loss 40 / 90As the ball falls towards the ground, its velocity Becomes zero Remains constant Decreases Increases 41 / 90Horizontal component of a bounding ball is Affected by gravity Affected by weight Affected by contact force Unaffected by gravity 42 / 90Gradient of line of velocity-time graph is tell us that Distance Velocity Time Acceleration 43 / 90Accelerometer detects the Large acceleration Small acceleration Small deceleration Large acceleration and deceleration 44 / 90Highest point on AC graph is known as Amplitude Wave front Frequency Peak value 45 / 90An object whose velocity is changing is said to be in state of Rest Acceleration Brownian motion Equilibrium 46 / 90Area under velocity-time graph tell us that Acceleration Displacement Time Velocity 47 / 90Equation of motion can be used for Motion along the circular path Straight line motion only All types of motion Curved motion only 48 / 90If we get straight line with positive slope then its acceleration is Decreasing Zero Constant Increasing 49 / 90In transformer, alternating current is induced in Iron core Primary coil Secondary coil Resistor 50 / 90A well designed transformer loses power under 0.1% 20% 10% 1.20% 51 / 90Graph of alternating current is Tan wave Sin wave Curve Cos wave 52 / 90If the gradient of a graph is negative, then the acceleration is Negative 1 Zero Positive 53 / 90If output voltage is greater than input voltage, then transformer is Faulty Set up Fatal Step down 54 / 90Average power displaced in resistor if sinusoidal pd of peak value 25Vis connected across 20Ω resistor is 15W 17W 16W 156W 55 / 90 If a secondary coil has 40 turns, a primary coil with 20 turns ischarged with 50V of potential difference, then the potential difference inthe secondary coil would be 50V 25V 100V 60V 56 / 90Equation which measures alternating voltage is V= IR sin t Vo sin℧t Vsin℧ 57 / 90Amount of DC voltage as compare to Vo is 50% 80% 60% 70% 58 / 90Process in which AC is converted into DC is called Rectification Induction Inversion Dispersion 59 / 90Acceleration of free fall depends on the Distance from center of earth Size of object Weight of object Surface 60 / 90Generators at the power station produce electric power at voltage 25kv 45kv 50kv 60kv 61 / 90A component that allows only unidirectional current to pass through itis Inductor Resistor Transformer Diode 62 / 901 radian is ________ 57°16’ 180° 54°48’ 17°46′ 63 / 90If a is such that ∫ a0xdx ≤ a + 4,then TRUE FALSE 64 / 90Let a*b =6a4-9b4 be a binary operation on R, then * is commutative False True 65 / 90An element is said to be invertible only if there is an identity elementin that binary operation False True 66 / 904 radians= ________ 720° 233°11’48” 229°10’59” 240°51’53” 67 / 901 degree is _________ radian. 0.1746 π 0.01746 0.046 68 / 90Write the following statement in the form of the equation:The sum of three times x and 10 is 13 3x + 10 =13 3x – 10 =13 3x + 13 = 10 None of these 69 / 90If length of arc is 40cm and radius of circle of arc is 10cm then findthe angle made by the arc 233°11’48” 720° 240°51’53” 229°10’59” 70 / 90If the initial side is overlapping on the terminal side, then angle is O° 180° 90° 270° 71 / 90If minute hand covers 24cm length in 30 minutes, then how muchlength minute hand have? 19.1 cm 45 cm 38.2 cm 57.3 cm 72 / 90If angle of arc is 600 and the length of arc is 20cm. Find the radius ofcircle from which arc is intercepted 18 cm 19.09 cm 18.08 cm 17.07 cm 73 / 90Let * be a binary operation defined by a*b=3ab+5, find 8*3. 1448 1541 1458 1547 74 / 90Let * be a binary operation on N defined by a*b = a-b+a.b+ab2, thenfind 4*5 9 99 88 98 75 / 90If in two circles, arcs of the same length subtend angles 450 and 600 atcenter, find the ratio of three radii 2:3 3:4 2:5 4:3 76 / 90If we start to rotate and after completing one revolution again initialside overlap with terminal side, then angle formed is _________ 180° 90° 360° 0° 77 / 90Charminar is related to India in the same way as sphinx is related to Vatican England Egypt Canada 78 / 90Radical is related to moderate in the same way as revolution is relatedto Peace Chaos Reformation Change 79 / 90Drama is related to scene in the same way as book is related to Chapter Page Author Story 80 / 90South is related in north-west in the same way as west is related to East South-west South North-east 81 / 90A river flows west to east and on the way turns left and goes in asemicircle round a hillock, and then turns left at right angles, in whichdirection is the river finally flowing? South West North East 82 / 90Kilogram is related in quintal in the same way as paisa is related to Rupees Wealth Coin Money 83 / 90Bread is related to wheat in the same way as brick is related to Building Fire Cement Clay 84 / 90Street is related to lane in the same way as road is related to Junction Avenue Highway Footpath 85 / 90Laugh is related to joy in the same way as cry is related to Sad Sorrow Punishment Child 86 / 90Taj mahal is related to love in the same way as jallianwala bagh isrelated to Punjab Amritsar Martyrdom War 87 / 90In a family there are husband-wife, two sons and two daughters. Allthe ladies were invited t0 a dinner. Both sons went out to play. Husbanddid not return from the office. Who was at home? All ladies were at home Nobody was at home Only sons were at home Only wife was at home 88 / 90In Arun ‘s opinion, his weight is greater than65kg but less than72kg.His brother doesn’t agree with Arun and he thinks that Arun’s weight isgreater than 60 kg but less than 70kg. His mother’s view is that his weightcannot be greater than 68kg.If all of them are correct in their estimation,what is the average of different probable weights of Arun? 67kg Data inadequate 68kg 69kg 89 / 90In a code language if POSE is coded as OQNPRTDF, then the wordTYPE will be coded as SUXZOQFD SUXZQOFD SUXZQODE SUXZOQDF 90 / 90Pointing to a photograph, a man said,” I have no brother or sister butthat man’s father is my father’s son.” Whose photograph, was it? His son His father His own His grandfather Your score isThe average score is 24% 0% Restart quiz