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.
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16. A guld cube of metal each ofwhose sides measures 2.2 cm is melted to form a cylindricalwire of radius 1 mm. Find the length of the wire so obtatned. |
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Higher Order Thinking Skills (HOTS)1a book on one dayof the remaining next day. If 100 pages of thebook were still left unread, how many pages did the book contain? |
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Answer» Let the book contain n pages Then,As per given condition 4n/9 + 3/5(n - 4n/9) + 100 = n 4n/9 + 3/5 * 5n/9 + 100 = n n - (4n + 3n)/9 = 100 (9n - 7n)/9 = 100 2n = 9*100 n = 900/2 = 450 Therefore,Book contain 450 pages |
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Higher Order Thinking Skills (HOTS13. The area of the four walls in a room is 120 mThe length of twice the breadth. If the height ofthe room is 4 m, find the area of the floor |
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| 4. |
A tricycle is sold at a gain of 15%. Had it been sold for? 108 pore, the profit would havebeen 20%. Find its cost price. |
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4)A tricycle is sold at a gain of 15%. Had it been sold for? 108 pore, the profit would havebeen 20%. Find its cost price. |
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| 6. |
can harm teenagers and young mindsA EmailC.ChattingB. SurfingD. Pornography |
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Answer» pornography |
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| 7. |
दा Bile_gain_aud eU S echer —gaind [व gella T keli andl e fuidge 4 id [500 4 1 hous achi nd 1156 a:}‘To/ aude§wal e -<f— ol qud. Puix |
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Answer» Let the actual price of the TV be Rs. 'x' and of the fridge be Rs. 'y'. Situation -1 By selling the TV at 5 % gain and fridge at 10 % gain, the shopkeeper gains Rs. 2000. ⇒ 5x/100 +10y/100 = 2000 ⇒ x/20 + y/10 = 2000/1 Taking the L.C.M. of the denominator and then solving it, we get. ⇒ (x + 2y)/20 = 2000 ⇒ x + 2y = 40000 ...........................(1) Situation - 2 By selling the TV at 10 % gain and fridge at 5 % loss, the shopkeeper gains Rs. 1500. The loss is indicated with the negative sign. ⇒ 10x/100 - 5y/100 = 1500 ⇒ x/10 - y/20 = 1500/1 Taking the L.C.M. of the denominator and then solving it, we get. ⇒ (2x - y)/20 = 1500 ⇒ 2x - y = 30000 ........................(2) Now, multiplying the (1) by 2, and then subtracting 2 from it, we get. First Multiplying (1) by 2 = 2*[(x + 2y) = 40000] ⇒ 2x + 4y = 80000 Now, subtracting (2) from the above. 2x + 4y = 80000 2x - y = 30000 - + - ________________ 5y = 50000__________________ ⇒ 5y = 50000 ⇒ y = 50000/5 ⇒ y = 10000 The actual price of fridge is Rs. 10000. Now putting the value of y = 10000 in (1), we get. ⇒ x + 2y = 40000 ⇒ x + (2*10000) = 40000 ⇒ x = 40000 - 20000⇒ x = 20000 Hence, the actual price of TV is Rs. 20000 and actual price of fridge is Rs. 10000. Like my answer if you find it useful! |
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EXERCISE 1.5. Classify the following numbers as rational or irrationa02-551) (3 +523) - -(iv) TE(v) 21Simplify each of the following ou |
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Answer» (1) irrational(2) rational(4) irrational(5) irrational 1 irrational2 rational3 irration4 irrational (1) Irrational(2) Rational (3) Irrational(4) Irrational 1) irrational2) rational3) irrational4) irrational 1. irrational 2. rational 4. irrational 5. irrational plss like my answer |
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| 9. |
cate d the area of blue portn at5mx2m has 25 cm wide red bordet. The inner pert ot tpathdepet of ooutsideFind the area of blue portion. What is the ratio of te ateas di blue in colour. Findmer part of the careon to blue portion? (.70at is the raio of tne ateas ot teĂto blueporda of width 2.25 m is constructed all along outhe area of the verandah.n2ctangular park of length 0 m and breadth 45 m and parallel to its sides Fadside a room which is 55mong and 4 m wide. Findt of cementing the floor of the verandah at the rate of 200 per tikroads, each of width 5 m, run at right angles through the cente ofaarea of the roads. Also find the cost of construcing te rods at he re105 per m2.oni% |
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Answer» Given, Length of room = 5.5m, Width of room = 4m, Width of verandah which is constructed all along outside of room = 2.25m, Cost of cementing of verandha = Rs 200 per m2 Therefore, Length of room with verandah=5.5m+2.25m+2.25m=10m Width of room with verandah=4m+2.25m+2.25m=8.5m Area of room = Length×width=5.5×4=22.0m2 Area of room with verandah = Length×Width=10×8.5=85m2 Area of verandah = Area of room with verandah — Area of room = 85m2—22m2= 63 m2 Cost of cementing of verandah = Area × RateRs.200×63=Rs.12600 |
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EXERCISE 7.11. Io quadrilateral ACHI,AC - AD und Ab Atsea & ABC ABD. What can you buyBC and BD? |
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Answer» In ∆ABC and ∆ABD, AC = AD (given) <BAC = <BAD ( since AB bisects <A) AB = AB ( common)therefore, ∆ABC ≈ ∆ABD ( SAS) Now, BC = BD (cpct) |
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vessel of radius S em, find the height of water in the tA cube of metal each of whose sides measures 2 2 cm is melted to form a cylindrical wire of radius 1 mm Fnthe length of the wire so obtained.llintuha is 1 cm and its inner diameter is 12 cm. Find the weight of a 1-metre lng tube |
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Answer» 2.2 cm = 22 mmVolume of cube = Volume of wire Side³ = πr²L Where L = length of wire 22³ = 22/7 x 1² x L 10648 = 22/7 L L = 10648 x 7/22 L = 3388 mm OR 3.388 m Like my answer if you find it useful! |
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| 12. |
6. Find the perimeter of a square, each of whose sides measures(1) 3.8 cm(ii) 4.6 m(iii) 2 m 5 dm |
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Find the area of an equilateral triangle each of whose sides measures (1) 18 cm, (ii) 20 cm[Take 3-1.73]10. |
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A cubical box has each edge 15 cm and another cuboidal box is 15cm long, 10 cmwide and 20 cm height. Which box has greater total surface area and by how much? |
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Answer» Total surface area of cube=6a²=6(15)²=1350cm² Total surface area of cuboid=2(lb+bh+hl)=2(150+200+300)=2(650)=1300cm² Cube has more surface area by 50cm² thanks sir |
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A cubical box has each edge 10 cm and another cuboidal box is 12.5 cm long. 10 cmwide and 8 cm high.Which box has the greater lateral surface area and by how much?Which box has the smaller total surface area and by how much? |
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5. A cubical box has each edge 10 cm and another cuboidal box is 12.5 cm long, 10 cnmwide and 8 cm high.) Which box has the greater lateral surface area and by how much?(i) Which box has the smaller total surface area and by how much? |
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The volume of a cubical box is 110592 cm^3. Find the length of each side of the box. |
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a. 2197 13b. 46656The volume ofa cubical box is 110592 cm'. Find thelength of each side of the box. |
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5A cubical box has each edge 10 cm and another cuboidal box is 12 5 cm long lcwide and 8 cm high.(i) Which box has the greater lat(u) Which box has the smaller total surface area and by how much?ral surtace area and by how muchls of olass panes (including |
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. The edge of a cubical box is 6 cm. Half of the box is filled with sand. Whatis the volume of the sand? |
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Answer» Edge of a cubical box [e]= 6 cmVolume of a cubical box [v]= edge *edge*edge = 6 cm*6 cm* 6 cm =216 cubic. cmhalf of the box is filled with sand= divide 216/2=108 cubic. cmso, volume of the sand = 108 cubic. cm |
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19. A cubical box of volume 13824 cubic cm is put in a cubical room of side 2.4m.how many such boxes can be put in the room? What is the dimension of thebox? |
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Answer» Volume of cube=13824Volume of room=2.4*2.4*2.4=13.824m^3=13824000cm^3So,no.of boxes=13824000/13824=1000Dimension of box=2.4cm |
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8. 39 books of thickness 4 cm each can be placed on a shelf. How many books of thicknes 6.5 cm eachcan be placed on the same shelf? |
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Answer» total thickness=4*39=156cmfor 6.5cm thickness156/6.5=24 books |
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similar sheet of brass weighing 12.8 kg.8 39 books of thickness 4 cm each can be placed on a shelf. How many books of thicknes 6.5 cm eachonortional to the number ofcan be placed on the same shelf? |
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Answer» total thickness covered=39*4=156cmhence for 6.5cm thickness156/6.5=24 books |
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Find the coordinates of point on the y-axis which is nearest to the point (-2,5) |
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Answer» It will be (0,5) as we know that in coordinates we first keep x and then y, i.e., (x,y). So the point on y-axis will be (0,x) , here we have supposed the point on y-axis as x. As the nearest point is given (-2,5), so the nearest point will be 5 . Thus the answer is (0,5).. |
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sind— cos - l37—'€(.?'{,‘ si/n9+cows0 -अत् भोन निर्मश कति।1 bt Al |
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Answer» thanks |
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The nearest point on the line 3x + 4y-1 = 0 from the origin is25' 2525' 2525' 25 |
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Answer» , |
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A shopkeeper purchased 150 eggs for Rs 2.50 | 10each. 20 eggs were broken and had to be thrownaway. The remaining were sold at Rs 3.00 each.Find the profit or loss per cent. |
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Answer» Price of 150 eggs =2.50×150 = 375No. of eggs broken =20Eggs left= 150-20=130Then cost of remaining eggs =130×3=390So profit = SP-CP =390-375 = 25So profit% = Profit/CP × 100 =25/375 ×100 =20/3 - (Answer) it's not correct what will be the answer it's not correct Please tell me the answer abhinav see your subtraction is wrong it's 15 then alright Now answer will be 4%. Tell me is it right? Total C.P.=150×2.5=375now 20 were broken so remaining are 130so total S.P.=130×3=390so profit=(390-375)/375×100= 1500/375=4% Please tell. Me the answer |
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2. (B) Explain the following concepts.l) Space researchith Space technalacy the Space lech nalaau incude the2) Telex service |
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Answer» Space research is scientific study carried out using scientific equipment in outer space. It includes the use of space technology for a broad spectrum of research disciplines, including Earth science, materials science, biology, medicine, and physics Thetelexnetwork was a public switched network of teleprinters similar to a telephone network, for the purposes of sending text-based messages. The "telex" term refers to the network, not the teleprinters; point-to-point teleprinter systems had been in use long beforetelexexchanges were built in the 1930s. |
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20. A metallic cylinder has radius 3 cm and height 5 cm.To reduce its weight, a conical hole isdrilled in the cylinder. The conical hole has a radius of 3 em and its depth is 8 cm. Calculatethe ratio of the volume of metal left in the cylinder to the volume of metal taken out in conicalshape. |
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| 30. |
ange he allowing number inn9a2 |
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Answer» 2/9 = approximately 0.222... 2/3 = 0.667 ( approx) 8/2 = 4 8/2 > 2/3 > 2/9 |
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2. In the given figure PQ and RS intersect at O and AP Q, PS RQprove that Î POSÎ QOR |
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Answer» In ∆ POS and ∆ROQ PS = RQ angle P = angle Q angle SOP = angle ROQ By AAS rule ∆POS is congurent ∆QOR |
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qped st ह।.Aangl 5. ) Lo % 1] ST |
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Answer» No,all the angles of a quadrilateral cannot beacute angles. As, sum of theangles of a quadrilateralis 360°. So, maximum of threeacute angles willbe possible. |
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the gven figure, two straight lines P9 and RS intersect at O.(1) ZPOR () ZROg (i) 49oS10,If L POS = i 14。、find, the measure of each of the angles: |
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Answer» Thankyou so much I love this app |
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| 34. |
the measur of the angl of the trangal |
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Answer» the total sum of a triangle is 180° so each side of the ∆ will be 60°.......(60+60+60=180) if the triangle is equilateral then the angle of the triangle is 60°and the sum of the anles of the triangle is 180° please like my answer I request you please like their are two types of triangles one is 30-60-90degree triangle and second is 45-45-90 degree triangle .also measure of each angles of an equilateral triangle is always 60 degree.And Sum of the measure of all angles of A triangle is 180 degree. the total sum of a triangle is 180° so each side of the ∆ will be 60° .....(60+60+60=180) the measure of the angle of the triangle is 180 sum of measure of all angles of a triangle is 180° The sum of 60°....(60+60+60=180) be the answer |
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A car covers 180km in 3hrs. what is the distance covered in1hr. |
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Answer» It covers 60 km in an hour 60 km is the distance covered by the car in one hour |
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Exampfe 2 in Fig. 6.10, ray OS stands on a line POQ. Ray OR and ray OT areangle biyoctors of ' POS and L. SOQ, respectively. If POS =x, find < ROT. |
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| 37. |
Vwăto C |
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Answer» √(1+27/196) = 1+x/13 => x/13 +1 = √223/14=> x/13 = √223/14 -1 => x = 13(√223/14) -13 => x = 0.866 = √3/2. |
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(D)1845.12 byA car covers a distance of 157.5 km in 2.5 hours. Find the speed of the car. |
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Answer» speed of the car is 157.5/2.5 = 63 km/h |
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icalRepresentation of Dataultiple Choice Questions (MCQs)graph shows the preferred breakfast5.for 40 students. The number of studentsfoodwho prefer paranthas as a percentage of the totalnumber of students is:2015tV10Paranthas Toast Cereal Eggs(a) 25%(b) 12.5%(c) 75%(d) 37.5% |
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Answer» Total no. of students=40No. of students preferring parathas=15Therefore, percentage of atudenta that prefer parathas=(15/40)×100=(3/8)×100=3×12.5=37.5% |
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A slate is 35 cm long and 20 cm wide. It issurrounded by a wooden frame of width 2.5 cm allaround. Find the area of the wooden frame. |
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Answer» Area of slate = 35*20 = 700 cm^2Area of outer region = (35+5)*(20+5) = 40*25 = 1000 cm^2 Area of wooden frame = 1000-700 = 300 cm^2 |
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6. A wall of 12 m long, 35 cm wide and 5 m high is made of bricks, each measuring25 cm × 12.5 cm × 7.5 cm. If _ of the total volume of the wall consists of mortar, how10many bricks are there in the wall? |
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11. The thickness of a hollow wooden cylinder is 2 cm. It is 35 cm long and its inner radius is 12 cm. Find the volume ofthe wood required to make the cylinder, assuming it is open at either end. Ans. 5720 cm |
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8Q-7a)249If state border travel 48 m in 10 sec then the speed will0:3 m/s20183m'sum/s+ |
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Answer» speed =distance / time=48/10=4.8 |
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Finditsradius2The thickness of a hollow metallic cylinder is 2 cm. It is 35 cm long and its ineradius is 12 cm. Find the volume of metal required to make the cylindes,asuningit is open, at either end. |
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a) A skirt that is 35 2 cm long has a hem of 3 cm. How long will8the skirt be if the hem is iet down? |
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Answer» wrong ans. |
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| 46. |
A sphere, a cylinder and a cone are of the same radius and same height. Find the ratioof their curved surface areas. |
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| 47. |
C. A right circular cylinder just enclosesa sphere of radius r, then the ratio of theircurved surface areas is |
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| 48. |
A sphere ,a cylinder and a cone are of the same radius and same heights. first the ratio of their curved surface areas. |
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Answer» Since, the height of a sphere is the diameter, the cone and cylinder have height 2r. ThenCurved surface area of Sphere= 4πr² Curved surface area of cylinder = 2πr(2r) = 4πr² Curved surface area of cone = πrl where, l = √(r2+ h2) = √( r2+ (2r)2) = √(5r2) = r√5 ⇒ Curved surface area of cone = π√5r2 Now, Ratio of CSA 'sa sphere ,cylinder and a cone = 4πr2:2πrh : πrl = 4πr2:4πr2: πr2√5 = 4 : 4 : √5 |
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| 49. |
S PROBLEMSNSA sphere, a cylinder and a cone are of the same radius and same height.Find the ratio of their curved surface areas? |
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| 50. |
The radii of two cylinders are in the ratio 3: 2 and their heights are in the ratio 4 :5. Calculate the ratioof their curved surface areas. |
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