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This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 76851. |
Identify the vertically opposite angles inthe given figure.What is themeasure of angle1, 2 and 4 if themeasure of angle3=111°? |
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| 76852. |
Multiple Choice Questions (MCQs)10. A roller is 120 cm long and has diameter 84 cm.If it takes 500 complete revolutions to level aplayground, determine the cost of levelling it atthe rate of 30 paise per m2(a) R 475.40.(r=22)12(b) R 375.45(d) 475.20(c)375.2011. The ratin of t |
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Answer» Surface area of on revolution = 2∏rh= 2 x 22/ 7 x 60 x 84now for 500 revolution = 2 x 22/7 x 60 x 84 x 500=1584 m2now cost leveling 1 m2 = Rs. 0.30= for 1584 m2 = 0.30 x 1584 = Rs. 475 . 20 option d |
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| 76853. |
(a) 12 cm72 m is(a) 25 m14. In a triangular field having sides 30 m, 72 m and 78 m, the length of the altitude to the side measuring(b) 28 m(c) 30 m(d) 35 mos trioles is 5 cm Find its area |
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| 76854. |
he sides of a triangle are 325 m, 300 m and 125 m, its area is)37500m(b) 18750 m2(c) 97500 m2d 10 |
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| 76855. |
d) any two pairs of vertically opposite angles340Fig. 9.29 |
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Answer» Angle 1 and angle 7 angle 2 and angle 8 |
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| 76856. |
Draw a pair of intersecting lines. Label andmeasure the vertically opposite angles. |
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| 76857. |
. Draw two intersecting lines FG and Hl andmeasure the vertically opposite angles. |
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Answer» the vertically opposite angle are always |
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| 76858. |
9. . How many bricks, each of size 25 cm × 13.5 cm× 6 cm, will be required to build a wall8mlong, 5.4 m high and 33 cm thick? |
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| 76859. |
9. Two adjacent angles on a straight line are in the ratio 5: 4. Find themeasure of each one of these angles.o. If two straight lines intersect each other in such a way that one of theangles formed measures 90°, show that each of the remaining anglesmeasures 90° |
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Answer» who is 9 or 10 |
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| 76860. |
In a right-angled triangle. one of the acute angles is one fith the other. Find the measure ofthe smallest angle.. In a right-angled triangle, one of the acute angles is one fifth the other. Find the measure of |
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Answer» 1/5x+x+90=180 6/5x=180-90 x=90*5/6 x=75 so one of the acute angle is 15 degree and other is 75 degree Like my answer if you find it useful! |
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| 76861. |
A gas occupies a volume of 100 litre at STP.Keeping pressure constant, if the temperature israised to 273°C what volume will the gasoccupy? |
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Answer» v1/t1 =v2/t2 100/273=v2/546 v2=200litres Formula P1 x V1 / T1 = P2 x V2 / T2 Pressure is constant so no need to put that in making the formulaV1 / T1 = V2 / T2 Voulme 1= 100 LVolume 2 = ?Temperature 1 = 0°CTemperature 2 = 273°C Convert your temperature to KelvinC+273=KTemperature 1 = 0 C + 273 = 273 KTemperature 2 = 273 C + 273 = 546 K Using formula 100/273 = V2/ 546V2 = 100*546/273V2 = 200 L Therefore,Volume of gas will become = 200 L this is the right answer |
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| 76862. |
1. A rectangular grassy plot is 75 m long and 60 m broad. It has a path of width 2 m all aroundit on the inside. Find the area of the path and the cost of constructing it at ? 125 per m2osbr 72 m Inside the plot, a path of uniform width |
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| 76863. |
If a = 2, b = 3 find the value of the following algebraic expressions.(a) 3a + 2b(b) 2a -b |
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| 76864. |
19,) Are angles 1 and 2vertically opposite?Why?2 |
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Answer» No as they don't have same ray |
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| 76865. |
(10.) Factorise each of the following:(i) 27y + 125z(ii) 64m-343[Hint: See Question 9.](11. Factorise : 27x + y + z-9xyz12. Verify that x° +y +z 3xyz = 5(x + y + 2) [(x + y)2 + (y + 2) + 2 = 1If x + y + z = 0, show that x + y + z = 3xyz.14. Without actually calculating the cubes, find the value of each of the followin(1) (-12)+(7) +(5)(ii) (28) +(-15)°+(-13)15. Give possible expressions for the length and breadth of each of the forectangles, in which their areas are given:Area : 35y + 13y - 12Area : 250 - 35a + 12 |
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| 76866. |
6. In a model of a ship, the mast is 9 cm high, lmast of the actual ship is 12 m high. If the length ofthe ship is 28 m, how long is the model ship? |
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| 76867. |
1. A cuboid is 8 m long, 12 m broad and 3.5 mhigh. Find its(i) total surface area(i) lateral surface are\begin{array} { l } { \text { A cuboid is } 8 \mathrm { m } \text { long, } 12 \mathrm { m } \text { broad and } 3.5 \mathrm { m } } \\ { \text { high. Find its } } \\ { \text { (i) total surface area } } \\ { \text { (i) lateral surface area } } \end{array} |
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| 76868. |
115m long and 64m broad town has two roads at right angles one 2m wide, running parallel to its length and the other 2.5m wide running parallel to its breath. Find the cost of grovelling the road at 760m^2 |
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Answer» Length of a lawn(l) = 115mBreadth of a lawn (b) = 64 m Width of lengthwise road(PQ)= 2.5 mWidth of breadththwise road (AB)= 2 m. Area of road( ABCD)= 115×2= 230 m² Area of road( PQRS)= 64×2.5= 160 m² Area of common path EFGH= 2× 2.5= 5 m² Area of the roads= (Area of road ABCD+ Area of road PQRS) - Area of Road EFGH Area of the roads= 230+160-5 Area of the roads= 390-5= 385 m² Rate of gravel = ₹ 4.60 per m² Cost of gravelling the roads= 385 × 4.60= 1771 Hence, the Cost of gravelling the roads = ₹1771 |
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| 76869. |
115-m-long and 64-m-broad lawn has two roads at right angles, one 2 m wide. runningparallel to its length, and the other 2.5 m wide, running parallel to tts breadth. Find thecost of gravelling the roads at 60 per m2 |
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Answer» Thanks |
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| 76870. |
12. A 115-m-long and 64-m-broad lawn has two roads at right angles, one 2 m wide, runningparallel to its length, and the other 2.5 m wide. running parallel to its breadth. Find thecost of gravelling the roads at 60 per m2 |
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| 76871. |
Exercise1. Group and factorise the following algebraic expressions.(a) ab +4a-3b 12 |
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Answer» ab - 4a + 3b - 12= ab + 3b - 4a - 12= b (a + 3) - 4 (a + 3)=(a + 3) (b - 4) |
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| 76872. |
EXAMPLE 6 Factorize each of the following algebraic expressions(i) x8 - 8(ii) 412x4 - a*x12 |
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| 76873. |
(§+X)x=(]+xT)NE नह) |, |
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Answer» Like if you find it useful |
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| 76874. |
J Write the degree ofthe following algebraic expressions.i) a - 2xy +y3x'y -4(ii 2Gae2, 211) x |
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Answer» (i) Highest degree=5So degree of algebraic expression is 5 |
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| 76875. |
10. Prove that bisecters of pair of vertically appangles are in the same straight line.[Board Term I, 2016, Set-7AE |
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| 76876. |
рд░рде (et Xt 10= (x+10) |
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| 76877. |
LL=(L—X)€— (¥ +xT)TSRR o |
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| 76878. |
: Factorise212 (xt +7x+7x)(2x |
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Answer» hit like if you find it useful |
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| 76879. |
1-lueso1petrol.Hรณwmuchdistance11. Cost of 1 litre of milk is ? 8. Find the cost of 5-litres of milk.3 |
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| 76880. |
A dice is rolled 100 times and its outcomes are as follows215Outcomesl414Frequency 122021Find the probab:lity of gettinga. A multiple o1 3. |
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Answer» Multiples of 3 are 3 and 6 Probability for 3 = 20/100 = 0.2 Probability for 6 = 18/100 = 0.18 Total probability = 0.2+0.18 = 0.38 |
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| 76881. |
Find the volume and surface area of a cuboid 16 m long, 14 m broad and 7 m highn 12 m long, 8 m broad and 9 m high.O1.roo |
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Answer» thanks for help |
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| 76882. |
cane |
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Answer» Selling price (Sp) = 85Cost price (Cp) = 45 As sp > cp thus profit= profit % = 100 x (85-45)/45= profit% = 100 x 40/45= 88.88% profit |
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| 76883. |
15, 300 gms of sugar solution has 40% sugar in it.How much sugar should be added to make it 50%in the solution?(a) 10 gms(c) 60 gms.(b) 40 gms.(d) 30 gms. |
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Answer» option c tnx u |
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| 76884. |
A rectangular field is 50m by 40m. It has two roads through its centre running parallel to its sides Thewidth of the longer and shorter roads are 1.8m and 2.5m respectively. Find12.(i)the area of the roads(ii) the area of the remaining portion of the field |
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| 76885. |
A joker's cap is in the form of a right circular cone of base radius 7 cm and height24 cm. Find the area of the sheet required to make 10 such caps. |
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| 76886. |
A joker's cap is in the form of a right circular cone of base radius 7 cm and height24 cm. Find the area of the sheet required to make 10 such caps |
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| 76887. |
1. Add the following algebraic expressionsusing both horizontal and verticalmethods. Did you get the same answer(Rep)with both methods. |
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| 76888. |
\begin{array}{l}{x^{2}-4 x+2=0} \\ {x^{2}+2 \sqrt{2} x-2 \sqrt{3}=0} \\ {x^{2}+p x+4 x=0}\end{array} |
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Answer» Sorry, we are currently answering only for the questions posted in english! give IUPAC name of the following compounds |
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| 76889. |
p=4g—xgpueg=4« t’ |
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Answer» x + y = 5.......(1)2x - 3y = 4.......(2)(1)×3;3x + 3y = 15....(3)(2)+(3);5x = 19x= 19/5put the value of x in (1)y = 6/5 hit like if you find it useful |
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| 76890. |
\left. \begin{array} { l } { x + y = 14,2 x + 5 y = 18 \text { is } } \\ { x ^ { 2 } + y ^ { 2 } - 2 x + 4 y - 20 = 0 } \\ { x ^ { 2 } + y ^ { 2 } - 2 x - 4 y - 20 = 0 } \\ { x ^ { 2 } + y ^ { 2 } - 2 x - 4 y - 20 = 0 } \\ { x ^ { 2 } + y ^ { 2 } + 2 x - 4 y - 20 = 0 } \end{array} \right. |
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| 76891. |
7. A joker's cap is in the form of a right circular cone of base radius 7 cm and height24 em. Find the area of the sheet required to make 10 such caps |
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| 76892. |
7.A joker's cap is in the form of a right circular cone of base radius 7 cm and height24 cm. Find the area of the sheet required to make 10 such caps. |
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Answer» Radius = 7cmheight = 24 cm l =√r² +h²l =√7² + 24²l =√49 + 576l = √625l = 25 Curved surface area of one conical cap =πrl= (22/7)×(7)×25= 550 cm² Curved surface area of 10 conical caps = 10 × 550 cm ²= 5500 cm²∴ the area of sheet required to make 10 conical caps is 5500 cm² |
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| 76893. |
Find thie cusSt O1A joker's cap is in the form of a right circular cone of base radius 7 cm and height24 cm. Find the area of the sheet required to make 10 such caps.7. |
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| 76894. |
area of the roads andthe area oithe epass throparallel to the12. There is a rectangular field of size 94 m x 32 m. Three roads each of 2 m width pghthe field such that two roads are parallel to the breadth of the field and the third islength. Calculate: () area of the field covered by the three roads (ii) area of the fieldcovered by the roads. |
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| 76895. |
Find the cost of white-washimg its cul7. A joker's cap is in the form of a right circular cone of base radius 7 cm and height24 cm. Find the area of the sheet required to make 10 such caps. |
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| 76896. |
joker's cap is in the form of a right circular cone of base radius 7 cm and height24 cm. Find the area of the sheet required to make 10 such caps. |
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Answer» ty ... |
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| 76897. |
Find 8 X (653 X 125) using various properties. |
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| 76898. |
write the complementary supplementary and conjugate angles for the following angles 75degres |
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| 76899. |
(iv) x-3y-7=0x-3y-15=0 |
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Answer» PLEASE LIKE AND SHARE THIS APP PLEASE LIKE AND SHARE THIS APP |
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| 76900. |
A = 35 ^ { 0 } , B = 15 ^ { 0 } \text { and } C = |
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