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This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
For 100 sq. m cement concrete (1 : 2: 4) 4 cm thick floor, the quantity of cement required, is ________(a) 0.90 m^3(b) 0.94 m^3(c) 0.98 m^3(d) 0.98 m^3 |
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Answer» Correct answer is (b) 0.94 m^3 The best explanation: Volume – area * thickness. So, 100*.04 = 4 cubic metre, 10% for uneven surface. 4 * 10% = .04 = 4.4cubic metre. 50% for dry mortar, 4.4 * 50% = 2.2. = 6.6cubic meter. Cement = 6.6/(1 + 2 + 4) = .94 cubic meter. |
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| 2. |
For 100 sq. m cement concrete (1 : 2: 4) 4 cm thick floor, the quantity of cement required, is _______(a) 0.90 m^3(b) 0.94 m^3(c) 0.98 m^3(d) 0.98 m^3 |
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Answer» The correct choice is (b) 0.94 m^3 The explanation is: Volume – area * thickness. So, 100 *.04 = 4 cubic metre, 10% for uneven surface. 4 * 10% = .04 = 4.4cubic metre. 50% for dry mortar, 4.4 * 50% = 2.2. = 6.6cubic meter. Cement = 6.6/(1 + 2 + 4) = .94 cubic meter. |
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| 3. |
For 2.5 cm c.c. floor for 100 sq m of area and 10% for contingency what amount of cement concrete will be required?(a) 5.75 cu m(b) 2.75 cu m(c) 2.5 cu m(d) 5.0 cu m |
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Answer» Right option is (b) 2.75 cu m Best explanation: For 2.5 cm c.c. floor for 100 sq m of area the quantity of cement concrete = 100*.025 = 2.5 cu m. Adding 10% extra for unevenness of base concrete, the quantity comes to 2.5+.25 = 2.75 cu m. |
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| 4. |
For coloured cement floor, mix pigment colour with neat surface cement in the proportion of ______ to ______ is to have desired colour.(a) 1:3 to 1:6(b) 1:3 to 1:6(c) 1:3 to 1:6(d) 1:3 to 1:6 |
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Answer» Right answer is (a) 1:3 to 1:6 The explanation: White cement mixed with colour pigment of the desired proportion may also be used, but for strength it is better if ordinary Portland cement is mixed with white cement in the proportion of 1:1 to 1:3 and then to add colour pigment to have the desired colour. |
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| 5. |
Find the value of x if the Mutual inductance is 20H, the inductance of coil 1 is xH and the inductance of coil 2 is 8H. The coupling coefficient is 5.(a) 2H(b) 4H(c) 6H(d) 8H |
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Answer» Right answer is (a) 2H Best explanation: we know that: k=M/sqrt(L1L2) Substituting the values from the question, we get L1=2H. |
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| 6. |
For 2.5 cm thick c.c. floor of 1:2:4 proportion, for 100 sq m, how many cement bags will be required?(a) 18(b) 28(c) 24(d) 10 |
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Answer» The correct choice is (c) 24 Easiest explanation: 100 sq m total dry volume of materials = 2.75+50% = 2.75+1.375 = 4.125 cu m. Therefore, cement = (4.125) / (1+2+4) = .59 cu m = .60 cu m (18 bags). For neat cement surface finishing additional 0.2 cu m (6 bags) of cement will be required. |
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| 7. |
If the flux linkage in coil 1 is 3Wb and it has 500 turns and the current in coil 2 is 2A, calculate the mutual inductance.(a) 750H(b) 500H(c) 450H(d) 900H |
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Answer» Right option is (a) 750H The best I can explain: We know that mutual inductance is the product of the number of turns in one coil and the flux linkages of that coil, divided by the current in the other coil. M=3*500/2=750H. |
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| 8. |
Find voltage across 12H inductor.(a) 2V(b) 10V(c) 12V(d) 20V |
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Answer» The correct option is (c) 12V To elaborate: e=Ldi/dt Leq=2+10+12+20=44H di/dt=44/44 = 1 A/s. Voltage across 12H inductor = 12*di/dt = 12*1=12V. |
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| 9. |
In India the flexible pavement is designed as per _____________(a) CSA(b) FSA(c) KSA(d) MSA |
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Answer» The correct choice is (d) MSA To elaborate: The flexible pavements are designed as per IRC 37 which uses MSA to specify the unit of the vehicles. MSA is defined as an experimental and mathematical method of determining the amount of variation that exists within a measurement process. Variation in the measurement process can directly contribute to our overall process variability. MSA is used to certify the measurement system for use by evaluating the system’s accuracy, precision and stability. |
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| 10. |
The maximum stress sustained by concrete pavements in kg/cm^2 is _________(a) 45(b) 30(c) 25(d) 15 |
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Answer» Right choice is (a) 45 For explanation: The concrete pavements are designed to sustain a stress of 45Kg/cm^2 which is the maximum limit. Temperature Stresses– Due to the temperature differential between the top and bottom of the slab, curling stresses (similar to bending stresses) are induced at the bottom or top of the slab Frictional stresses– Due to the contraction of slab due to shrinkage or due to drop in temperature tensile stresses are induced at the middle portion of the slab. Wheel Load Stresses– CC slab is subjected to flexural stresses due to the wheel loads. |
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| 11. |
The ______________ is the region of the pavement section that is located directly under the surface course.(a) sub-base course(b) grit(c) base course(d) ballast |
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Answer» Correct option is (c) base course Best explanation: If there is a sub-base course, the base course is constructed directly about this layer. Otherwise, it is built directly on top of the subgrade. Typical base course thickness ranges from 4 to 6 inches and is governed by underlying layer properties. Heavy loads are continuously applied to pavement surfaces, and the base layer absorbs the majority of these stresses. Generally, the base course is constructed with an untreated crushed aggregate such as crushed stone, slag, or gravel. The base course material will have stability under the construction traffic and good drainage characteristics. |
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| 12. |
Three main types of concrete pavements commonly used are Jointed plain concrete pavement (JPCP), ___________________ and continuously reinforced concrete pavements (CRCP).(a) Jointed reinforced concrete pavement (JRCP)(b) Jointed reinforced pavement (JRP)(c) Jointed concrete pavement (JCP)(d) Reinforced concrete pavement (RCP) |
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Answer» The correct choice is (a) Jointed reinforced concrete pavement (JRCP) For explanation I would say: JPCP’s are constructed with contraction joints which direct the natural cracking of the pavement. These pavements do not use any reinforcing steel. JRCP’s are constructed with both contraction joints and reinforcing steel to control the cracking of the pavement. High temperatures and moisture stresses within the pavement creates cracking, which the reinforcing steel holds tightly together. |
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| 13. |
Reinforcement in cement concrete slab of road pavements, is placed ____________(a) longitudinally(b) longitudinally and transversely(c) in the form of welded wire mesh(d) transversely |
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Answer» Right choice is (c) in the form of welded wire mesh The explanation is: In concrete pavement the longitudinal reinforcing steel is continuous throughout the pavement length. It is a joint less concrete pavement sufficiently reinforced to control cracking, without the aid of weakened transverse joints such as are used in ordinary or conventional type of jointed concrete pavement. Reinforced bars in the concrete are lapped to form continuous reinforcement holding the pavement together in all kinds of weather and preventing formation of large cracks that would otherwise reduce the service life of the pavement. CRCP has all the good features of concrete pavements such as durability, high structural strength, non-skid surface and good visibility at night, wet or dry—features which make concrete, and especially continuously reinforced concrete, a permanent road surfacing material. |
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| 14. |
If the current in one coil is steady, what happens to the mutual inductance?(a) Zero(b) Infinity(c) Doubles(d) Halves |
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Answer» Correct option is (a) Zero The explanation: A current is induced when there is changing magnetic flux. The induced current in neighbouring coil is zero when the current is steady. So, mutual inductance is zero. |
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| 15. |
What happens to the inductance when the current in the coil becomes double its original value?(a) Becomes half(b) Becomes four times(c) Becomes double(d) Remains same |
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Answer» Right choice is (d) Remains same To elaborate: ϕ is directly proportional to i. Φ=Li where L is constant of proportionality So, when current get double ϕ also becomes double keeping L same. |
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| 16. |
For 2.5 cm thick c.c. floor of 1:2:4 proportion, for 100 sq m, what amount of stone aggregate will be required?(a) 5.20 cu m(b) 1.20 cu m(c) 2.40 cu m(d) .20 cu m |
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Answer» The correct choice is (c) 2.40 cu m To explain I would say: Stone aggregate = 0.6*4 = 2.40 cu m. |
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| 17. |
What happens to the effective inductance when a ferromagnetic core is introduced?(a) Increases(b) Decreases(c) Remains the same(d) Becomes zero |
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Answer» Right option is (a) Increases Easiest explanation: The effective inductance increases when a ferromagnetic core is introduced within an inductor because of the flux increases. Inductance varies directly with the flux hence it increases. |
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| 18. |
For lime concreting in roof terracing the concrete shall be kept wet for _____________(a) 6 hours(b) 24 hours(c) 28 days(d) Fortnight |
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Answer» Right answer is (d) Fortnight The explanation: The wetting should be done by covering with straw or sand and watering frequently by water-can or driving into squares by mud diaries which shall be kept flooded with water. |
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| 19. |
For a four layer flexible pavement, there is a surface course, base course, and ______________ constructed over a compacted, natural soil subgrade.(a) sub-grade course(b) sub-base course(c) base course(d) sub-ballast |
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Answer» Right answer is (b) sub-base course Explanation: When building a three layer flexible pavement, the subbase layer is not used and the base course is placed directly on the natural subgrade. A flexible pavement’s surface layer is constructed of hot-mix asphalt (HMA).Un stabilized aggregates are typically used for the base course; however, the base course could also be stabilized with asphalt, Foamed Bitumen, Portland cement, or another stabilizing agent. The sub base is generally constructed from local aggregate material, while the top of the subgrade is often stabilized with cement or lime. |
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| 20. |
A ___________ consists of colourants dissolved and/or suspended in a ‘vehicle’ or solvent.(a) ceramic mixture(b) paint(c) wood stain(d) plaster |
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Answer» Right choice is (c) wood stain The best I can explain: Vehicle is the preferred term, as the contents of a stain may not be truly ‘dissolved’ in the vehicle, but rather ‘suspended’, and thus the vehicle may not be a true ‘solvent’. The vehicle often may be water, alcohol, a petroleum distillate, or a finishing agent such as shellac, lacquer, varnish and polyurethane. Coloured or ‘stained’ finishes do not typically deeply penetrate the pores of the wood and may largely disappear when the finish deteriorates or is removed. |
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| 21. |
What happens to the inductance as the length of the magnetic circuit increases?(a) Increases(b) Decreases(c) Remains the same(d) Becomes zero |
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Answer» Correct option is (b) Decreases Explanation: L=µ0*N^2*A/l, hence as the length of the magnetic circuit l increases, the inductance decreases. |
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| 22. |
_______ Terrace Roof is a flat roof consisting of a layer of lime concrete over a layer of brick-on-edge laid in lime mortar.(a) Sloping(b) Madras(c) Flat(d) Arch |
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Answer» The correct option is (b) Madras For explanation: The terrace bricks of 15*7.5*2.5cm in size are laid on-edge in diagonal rows with lime mortar 1:11/2 proportion closely packed spanning over the beams. The brickwork is then cured by sprinkling with water for a period of 10 days. After the brickwork has set, a layer of lime concrete is laid and consolidated so as to give a compact thickness of 7.5cm and cured for 6 days. |
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| 23. |
A building costing Rs.700000.00 has been constructed on a freehold land measuring 100 sq m recently in a big city. Prevailing rate of land in the neighbourhood is Rs.150.00 per sq m. Determine the net rent of the property, if the expenditure on an outgoing including sinking fund is Rs.24000.00 per annum. Work out also the gross rent of the property per month.(a) 48000/-, 8000/-(b) 18000/-, 6000/-(c) 46700/-, 6000/-(d) 48000/-, 6000/- |
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Answer» Right answer is (d) 48000/-, 6000/- To explain: Cost of construction = Rs.700000.00 Cost of land @Rs.150.00 per sq m = 100*150 = Rs.150000.00 Net return: On building @ 6% on the cost of construction = 700000.00 *6/100 = Rs.42000.00 On the land @ 4% on the cost of land = 700000.00 *6/100 = Rs.6000.00 Total net rent per year = Rs.48000.00 Gross rent = Net rent + outgoings = 48000+24000.00 = 72000.00 per annum Gross rent per month = 72000/12 = 6000.00. |
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| 24. |
The minimum cube strength of concrete used for a prestressed member, is ________(a) 50 kg/cm^2(b) 150 kg/cm^2(c) 350 kg/cm^2(d) 100 kg/cm^2 |
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Answer» The correct answer is (c) 350 kg/cm^2 The best explanation: M35 is minimum required concrete for prestressed concrete. Here 35 is in N/mm^2. So convert it into kg/cm^2. N/mm^2 = 10 kg/cm^2. So 35 N/mm^2 = 350 Kg/cm^2. |
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| 25. |
Which type of estimate is prepared by calculating building area and then multiplying area by predefined unit cost?(a) Unit Based Estimate(b) Model estimate(c) Project Comparison Estimate(d) Parametric estimate |
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Answer» Correct answer is (a) Unit Based Estimate The best I can explain: This type of estimate is prepared by calculating building area and then multiplying area by predefined unit cost. And then adjusted the cost by considering building height, length, width and other necessary building components. Required documents for preparing this type of estimate is a simple floor plan with measurement and key elevation of the building. This type of estimation is used to check whether the project was designed within owner’s budget. |
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| 26. |
Rigid pavements are generally constructed in three layers – a prepared subgrade, base or sub base, and a _______________(a) RCC(b) Concrete slab(c) Steel(d) Cement slab |
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Answer» The correct option is (b) Concrete slab The explanation is: The concrete slab is constructed according to a designed choice of plan dimensions for the slab panels, directly influencing the intensity of thermal stresses occurring within the pavement. In addition to the slab panels, temperature reinforcements must be designed to control cracking behaviour in the slab. Joint spacing is determined by the slab panel dimensions. |
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| 27. |
The most common type of ceiling is the___________ which is suspended from structural elements above.(a) parabolic ceiling(b) curved ceiling(c) dropped ceiling(d) arched ceiling |
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Answer» The correct option is (c) dropped ceiling Explanation: The most common ceiling that contributes to fire-resistance ratings in commercial and residential construction is the dropped ceiling. In the case of a dropped ceiling, the rating is achieved by the entire system, which is both the structure above, from which the ceilings is suspended, which could be a concrete floor or a timber floor, as well as the suspension mechanism and, finally the lowest membrane or dropped ceiling. Between the structure that the dropped ceiling is suspended from and the dropped membrane, such as a T-bar ceiling or a layer of drywall, there is often some room for mechanical and electrical piping, wiring and ducting to run. |
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| 28. |
_____________ is the technique of estimating or determining the fair price or value of a property such as a building, a factory, other engineering structures of various types.(a) depreciation(b) capital value(c) valuation(d) taxation |
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Answer» Right option is (c) valuation For explanation: By valuation the present value of a property is determined. The present value of property may be decided by its selling price, or income or rent it may fetch. The value of property depends on its structure, life, maintenance, location, bank interest, legal control, etc. The value also depends on supply on demand and the purpose for which valuation is required. |
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| 29. |
The term ___________ in construction is applied to the finishing of mortar joints in masonry (stone or brick). In exposed masonry, these are considered to be the weakest part.(a) painting(b) deteriorating(c) pointing(d) finishing |
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Answer» The correct choice is (c) pointing The explanation is: The term Pointing in construction is applied to the finishing of mortar joints in masonry (stone or brick). In exposed masonry, joints are considered to be the weakest and most vulnerable spots from which rain water or dampness can enter. Pointing means implementing the joints to a depth of 10 to 20mm and filling it with better quality mortar in desired shape. |
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| 30. |
A ____________ is a structural element in masonry construction that provides support at openings in the masonry. Alternate names are “flat arch” and “straight arch”.(a) round arch(b) equilateral arch(c) flamboyant arch(d) jack arch |
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Answer» The correct option is (d) jack arch Easiest explanation: Unlike regular arches, jack arches are not semicircular in form. Instead, they are flat in profile and are used under the same circumstances as lintels. Unlike lintels, which are subject to bending stress, jack arches are composed of individual masonry elements cut or formed into a wedge shape that efficiently uses the compressive strength of the masonry in the same manner as a regular arch. |
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| 31. |
What is the use of circular vernier as a measuring instrument?(a) Measuring small angle(b) Measuring large angle(c) Measuring required accurate angle(d) Normal angle |
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Answer» The correct option is (c) Measuring required accurate angle To explain I would say: Verniers are also extensively used to circular scales in variety of scientific instruments. The below figure shows typical arrangement of double direct verniers. In Fig. the scale is graduated to 10 and value of n=10 on the vernier. 10 vernier divisions = 9 main scale divisions. Hence the least count is = d/n = 10/10 = 6′. The reading is 19 0 48′. |
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| 32. |
Which short of instrument is shown below?(a) 3 Geometrical scale(b) Parallel-scale nomogram(c) Thermometer(d) Barometer |
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Answer» The correct answer is (b) Parallel-scale nomogram Easiest explanation: The field of nomography was invented in 1884 by the French engineer Philbert Maurice d’Ocagne (1862-1938) and used extensively for many years to provide engineers with fast graphical calculations of complicated formulas to a practical precision. Nomograms use a parallel coordinate system invented by d’Ocagne rather than standard Cartesian coordinates. A nomogram consists of a set of n scales, one for each variable in an equation. Knowing the values of n-1 variables, the value of the unknown variable can be found, or by fixing the values of some variables, the relationship between the unfixed ones can be studied. The result is obtained by laying a straightedge across the known values on the scales and reading the unknown value from where it crosses the scale for that variable. The virtual or drawn line created by the straightedge is called an index line or isopleth. |
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| 33. |
Name the type of pointing, where mortar is pressed hard in the raked joints and by finishing off flush with the edge of masonry units. The edges are neatly trimmed with trowel and straight edge.(a) Struck pointing(b) V-pointing(c) Weathered pointing(d) Flush pointing |
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Answer» Correct option is (d) Flush pointing Easy explanation: It does not give good appearance. But, flush pointing is more durable because of resisting the provision of space for dust, water etc., due to this reason, flush pointing is extensively used. |
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| 34. |
What is the below instrument called?(a) Set square(b) Straightedge(c) T-square(d) Opisometer |
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Answer» Right option is (c) T-square The explanation: A T-shaped ruler used in engineering drawing, consisting of a short crosspiece, which slides along the edge of the drawing board, and a long horizontal piece: used for drawing horizontal lines and to support set squares when drawing vertical and inclined lines. |
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| 35. |
The figure shown below represents which instrument?(a) Hammer base(b) Knife cutter(c) Hammer striker(d) Anvil |
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Answer» The correct option is (d) Anvil The explanation is: The primary work surface of the anvil is known as the face. It is generally made of hardened steel and should be flat and smooth with rounded edges for most work. Any marks on the face will be transferred to the work. Also, sharp edges tend to cut into the metal being worked and may cause cracks to form in the workpiece. The face is hardened and tempered to resist the blows of the smith’s hammer, so the anvil face does not deform under repeated use. A hard anvil face also reduces the amount of force lost in each hammer blow. Hammers, tools, and work pieces of hardened steel should never directly strike the anvil face with full force, as they may damage it; this can result in chipping or deforming of the anvil face. |
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| 36. |
There are two main types of sedimentary stone used in masonry work, limestone and ______________(a) limestone(b) gravel(c) sandstones(d) marble |
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Answer» The correct option is (c) sandstones The explanation: Sandstone is a clastic sedimentary rock composed mainly of sand-sized (0.0625 to 2 mm) mineral particles or rock fragments. Most sandstone is composed of quartz or feldspar because they are the most resistant minerals to weathering processes at the Earth’s surface, as seen in Bowen’s reaction series. |
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| 37. |
________ is the capital of South Africa.1. London2. New York3. Moscow4. Capetown |
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Answer» Correct Answer - Option 4 : Capetown The correct answer is Capetown.
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| 38. |
Hard, rough and durable granite stone ballast _________ gauge, shall be used.(a) 100 mm(b) 20 mm(c) 1mm(d) 60mm |
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Answer» Correct choice is (d) 60mm The explanation: Ballast should not absorb water and should not be affected by weather action and shall be clean and free from dust, dirt, etc. Ballast should be stacked 30 cm high on the levelled side-berm of the road in a continuous stack along the road having the section as required per metre length of the road. |
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| 39. |
Name the capital of Pakistan.A. RawalpindiB. IslamabadC. KarachiD. Lahore1. D2. A3. B4. C |
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Answer» Correct Answer - Option 3 : B The correct answer is Islamabad.
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| 40. |
Tungabhadra multipurpose project has been established on the banks of the tributary of which of the following rivers?A. GodavariB. KrishnaC. MahanadiD. Indus1. C2. B3. A4. D |
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Answer» Correct Answer - Option 2 : B The correct answer is Krishna.
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| 41. |
A number n when divided by 14 gives the remainder 5 . What is the remainder when the same number is divided by 7 |
| Answer» The actual number is 70. So, when divided by 7=10 | |
| 42. |
A food made from milk is ______. A) ham B) cheese C) stew D) pepper E) roll |
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Answer» Correct option is B) cheese |
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| 43. |
The number of functions f from {1, 2, 3,...., 20} onto (1, 2, 3,...., 20)} such that f(k) is a multiple of 3, whenever k is a multiple of 4, is : (1) 65 x (15)!(2) 5! x 6! (3) 56 x 15 (4) (15)! x 6! |
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Answer» Correct option (4) (15)! × 6! Explanation: f(k) = (3, 6, 9, 12, 15, 18) For k = 4, 8, 12, 16, 20 For these k we have 6.5.4, 3.2 ways = 6! For other numbers we have 15! ways. So total = 15!.6! |
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| 44. |
(0.5rttan 613Sin Bocos It Ham 162-Show that |
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Answer» Simplify Left Side `12/13 Sin^-1 + 1/2 cos^-1 + 63/16 tan^-1 = pi * Show * that` Subtract From Both Sides `(12/13 Sin^-1 + 1/2 cos^-1 + 63/16 tan^-1) - 63/16 tan^-1 = (pi * Show * that) - 63/16 tan^-1` Simplify Left Side `12/13 Sin^-1 + 1/2 cos^-1 = (pi * Show * that) - 63/16 tan^-1` Subtract From Both Sides `(12/13 Sin^-1 + 1/2 cos^-1) - 1/2 cos^-1 = ((pi * Show * that) - 63/16 tan^-1) - 1/2 cos^-1` Simplify Left Side `12/13 Sin^-1 = ((pi * Show * that) - 63/16 tan^-1) - 1/2 cos^-1` Multiply Both Sides By Inverse Fraction `12/13 Sin^-1 * 13/12 = (((pi * Show * that) - 63/16 tan^-1) - 1/2 cos^-1) * 13/12` Simplify Left Side `Sin^-1 = (((pi * Show * that) - 63/16 tan^-1) - 1/2 cos^-1) * 13/12` Simplify Right Side `Sin^-1 = pi * Show * that * 13/12 - 819/16 tan^-1 / 12 - 13/2 cos^-1 / 12` |
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| 45. |
`5xxx^2+x y+y^2=100` |
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Answer» Subtract From Both Sides `(5x^2 + xy + y^2) - y^2 = 100 - y^2` Simplify Left Side `5x^2 + xy = 100 - y^2` Subtract From Both Sides `(5x^2 + xy) - xy = (100 - y^2) - xy` Simplify Left Side `5x^2 = (100 - y^2) - xy` Divide From Both Sides `(5x^2) / 5 = ((100 - y^2) - xy) / 5` Simplify Fraction `x^2 = ((100 - y^2) - xy) / 5` Simplify Right Side `x^2 = 20 - y^2 / 5 - xy / 5` |
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| 46. |
Find the words which are out of the logic list:A) dress B) suit C) shirt D) tailor E) skirt |
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Answer» Correct option is D) tailor |
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| 47. |
How many different 4 – letter words can be formed with the letter of the word ‘MUNCH’ when U & N are always to be included ? 1. 722. 623. 124. 425. 32 |
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Answer» Correct Answer - Option 1 : 72 Given 5 letter word MUNCH is given Calculation Since U and N are always included so first we select 2 letters from remaining 3 letters(M, C and H), which can be done in 3 C2. = 3 ways Now these 4 letters can be arrange in 4! = 24 ways So, the required number is 72 ways (3 × 24)
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| 48. |
If Z1 = 1 – 3i, z2 = -4i, and z3 = 5, show that (z1 + z2 ) + z3 = Z1 + (z2 + z3 ) |
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Answer» Z1 = 1 – 3i, z2 = -4i, z3 = 5, (z1 + z2 ) + z3 =(1 – 3i – 4i) + 5(1 – 7i) + 5 = 6 – 7i …..(1) Z1 + (z2 + z3 ) = (1 – 3i) + (-4i + 5) = 6 – 7i …..(2) from(1)& (2) we get ∴ (z1 + z2 ) + z3 = z1 + (z2 + z3 ) |
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| 49. |
A boy contains 5 pink , 3 blue & 6 black ball. How many solution of ball can be formed by taking at least one ball form the boy1. 157 2. 1873. 167 4. 197 5. 177 |
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Answer» Correct Answer - Option 3 : 167 Given Number of pink balls = 5 Number of blue balls = 3 Number of black balls = 6 Concept Number of ways to select one or more things out of ( x + y + z) things where x are of same type, y are if same type and z are of same type, then number of ways are (x + 1) (y + 1) (z + 1) – 1 Calculation Here x = 5, y = 3 and z = 6 ⇒ (5 + 1) (3 + 1) (6 + 1) – 1 ⇒ (6 × 4 × 7) – 1 ⇒ 168 – 1 ⇒ 167 |
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| 50. |
The letters of the word SAND are written in all possible ways with or without meaning as written in a dictionary then find the rank of the word1. 172. 193. 164. 185. 15 |
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Answer» Correct Answer - Option 2 : 19 Given 4 letter word SAND is given Calculation The order of the alphabet of SAND is S, A, N and D Number of words beginning with A = 3 C 3 ⇒ 3 ! Number of words beginning with D = 3 C 3 ⇒ 3! Number of words beginning with N = 3 C 3 ⇒ 3 ! Now, the first word start with S is SAND Hence, rank of the word SAND = 3! + 3! + 3! + 1 ⇒ 6 + 6 + 6 + 1 ⇒ 19 |
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