InterviewSolution
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InterviewSolution
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.
| 2. |
Three angles of a quadrilateral are equal. If the fourth angle is 69^@, find the measure of equal angles. |
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| 3. |
A piece of wire of length 108 cm is bent to forma semicircular arc bounded by its diameter. Find its radius and enclosed area. |
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| 4. |
Four cubes ,each of edge 9 cm . Are joinedas shown below. Writethe dimesions of the cuboid obtained Also, find total surface area and volume. |
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| 5. |
The measure of each interior angle of a regular polygon is five times the measure of its exterior angle. Find : (i) measure of each interior angle, (ii) measure of each exterior angle and (iii) number of sides in the polygon |
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| 6. |
Find the area of the trapezium ABCD in whichAB//DC, AB = 18 cm, angleB = angleC = 90^(@), CD = 12 cm and AD = 10 cm. |
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| 7. |
The sides of a triangle are 16 cm, 12 cm and20 cm. Find : (i) area of the triangle (ii) height of the triangle, corresponding tothe largest side (iii) height of the triangle, corresponding tothe smallest side. |
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| 8. |
For each inequation , given below, represent the solution on a number line: 2(4-3x) le 4(x-5) x in W |
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| 9. |
A car covers a certain distance in 1 hr 30 minutes at 60 km per hour. If it moves at 45 km per hour, It will take……hours. |
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| 10. |
A car is travelling from city P to city Q which are 350 km apart. The line graph given below describes the distances of the car from the city P at different times . Study the above graph and answer the questions given below. (i) What information is given on the two axes ? (ii) From where and when did the car begin its journey ? (iii) How far did the car go in the first hour ? (iv) How far did the car go during (a) the 2nd hour and (b) the 3rd hour? (v) Was the speed same during first three hours? How do you know it ? (vi) Did the car stop for some duration at any place ? Justify your answer. (vii) When did the car reach city Q ? |
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Answer» `(ii)` From city `P`, at `8` a.m. `(iii) 50km` `(iv) (a) 100km` `(b) 50km` `(V)` No. because the distance covered per hour is not uniform. `(vi)` Yes, the car STOPPED during the interval `11` a.m. to `12` noon , as is INDICATED by the horizontal line segment during this period. `(vii) 2` p.m. |
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| 11. |
Replace A,B and C by suitable numerals.({:(," "A),(,+A),(," "A):})/(" "BA) |
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| 12. |
Construct a trianglePQR in which PQ=3 cm and /_ P =45^(@) and /_ =105^(@). |
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Answer» Solution :(a) Draw a line segment `PQ =3` cm. (b) Draw `BAR(PX)` whiich makes an angle `45^(@)` with `bar(PQ)`. (c ) Draw `bar(QY)` which makes an angle `105^(@)` with `bar(QP)`. (d) Mark the intersecting pointof `bar(PX)` and `bar(QY)` as R. (E ) PQR is the REQUIRED TRIANGLE. 
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| 13. |
Each side of a rectangle is doubled. Find theratio between : (i) perimeters of the original rectangle andthe resulting rectangle (ii) areas of the original rectangle and theresulting rectangle |
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| 14. |
A solid cube of side12 cmis outinto8 identicalcubes.What will be the side of the new cube ? Also. Find the ratio betweenthe surfacearea of the originalcube and the totalsurfacearea of allthe smallcubesformed. |
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| 15. |
For each inequation , given below, represent the solution on a number line: 3(2x-1) ge 2 (2x+3), x in Z |
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| 16. |
Plot a line graph for the variables p and q, where p is four times q i.e., the equation is p=4q. Using the graph, find the value of (i)p, when q=6 and (ii) q when p=20. |
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| 17. |
Observe the tables given below and in each case find whether x and y are inversely proportional: |
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| 19. |
Three of the exterior angles of a hexagon are 40^@, 51^@ and 86^@. If each of the remaining exterior angles is x, find the value of x. |
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| 20. |
A rectangular solid of metal has dimensions 50 cm , 64 cm and 72 cm . It is melted and recasted into indentical cubes each with edge 4 cm , find the number of cubes formed |
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| 21. |
The ratio between the number of sides of two regular polygons is 3 : 4 and the ratio between the sum of their interior angles is 2:3. Find the number of sides in each polygon. |
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| 22. |
If (x - (1)/(x)) = 5, find the value of(x^(2) + (1)/(x^(2))) |
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Answer» 34 |
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| 23. |
Find the curved surface area and the totalsurface area of a rightcircular cyclinderwhoseheight is 15 cm and the diameterof the cross- sections is 14 cm |
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| 24. |
Find the area of the right-angled triangle withhypotenuse 40 cm and one of the other twosides 24 cm. |
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| 26. |
If n(A) = 15 and n(B)= 17, then find n(A uu B uu C) from the following Venn diagram. (The number in each region represents the number of elements of that region) |
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| 28. |
Graph the solution set on a number line if -2x +14 lt 6 where x is a real number. |
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| 29. |
A closed box measures 66 cm , 36 cmand 21 cmfromoutside.It itswalls are made of metal- sheet 0.5 cm thick findthe capacityof the box. (ii)volume of metal sheet and (iii)weightof the box. If1 cm ^(3)of metalweigth3.6 g . |
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| 30. |
For an experiment in botany, two different plants, plant A and B, were grown under similar laboratory conditions. Their heights were measured at the end of each week for three weeks. The results are shown by the line graph given below : Study the above line graph carefully and answer the questions given below: (i) How high was plant A after (a) 2 weeks (b) 3 weeks ? (ii) How high was plant B after (a) 2 weeks (b) 3 weeks? (iii) How much did plant A grow during the 3rd week? (iv) How much did plant B grow from the end of the 2nd week to the end of the 3rd week ? (v) During which week did plant A grow most ? (vi) During which week did plant B grow least ? (vii) Were the two plants of the same height during any week shown here ? Specify. |
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| 31. |
Find the volume and total surface area of a cube whose each edge is: 8 cm |
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| 32. |
Use the information given in the following figure to find the value of x. |
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| 33. |
Evaluate sqrt (42.25). sqrt( 1.96).sqrt(6.4009). sqrt (0.4225). sqrt2correct up to two piaces of dectimal. sqrt (0.8) correct up to two phase of decimal. |
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| 34. |
A courter-person cycles from a town to a neighbouring suburban area to delivera parcel to a merchant. His distances from the twon at different times are shown by the given graph. Study the above graph carefully and answer the questions given below: (i) What is the scale taken for the time-axis? (ii) How much time did the person take for the travel ? (iii) How far is the place of the merchant from the town ? (iv) Did the person stop on his way ? Explain. (v) During which period did he ride fastest ? |
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| 35. |
If Rs. 3,750 amount to Rs. 4,620 in 3 years at simple interest. Find : (i) the rate of interest. the amount of Rs. 7,500 in 5""1/2 years at the same rate of interest. |
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| 36. |
P,Q and R work together to complete a piece of work in x days. P and R take 20 days and 30 days respectively to complete the work. Q is faster than R and slower than P. If x is an integer, then how many values can it take ? |
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Answer» 1 (II) Find the work done by P and R in x days. (iii) Remainingwork is completed by Q in x days. (iv) Use the above information and find the DISTINCT values for x. |
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| 37. |
The square root of 102 up to three places of decimals is |
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Answer» 10.098 |
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| 38. |
Locate the points A(1, 2), B(4, 2) and C(1, 4) on a graph sheet taking suitable axes. Write the coordinates of the fourth point D in order to complete the rectangle ABCD. |
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| 39. |
Find the square of 689 by using the diagonal method. |
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| 40. |
Construct a triange ABC in which AD,BE and CF are the medians with AD =5.4cm, BE=6 cm and CF=8.1cm. |
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Answer» Solution :We KNOW that the centroid G divides each MEDIAN in the ratio `2:1` from the corresponding vertex. (a) `AG=3.6 cm, GD=1.8 cm``{ :' AD =5.4 cm}` (b) `BG=4 cm, GE=2cm``{ :' BE=6 cm}` (c ) `CG=5.4 cm, GF=2.7 cm``{ :' CF =8.1 cm}` Produce `bar(GD)` to the point H such that `GD=DH=1.8` cm. Now, BGCH is a parallelogram.   (a) Draw a parallelogram BGCH with `BH=CG=5.4cm, HC=BG=4cm` and `GH=3.6cm`. (b) JOIN BC. (c) Produce BG to the point E such that `GE=2cm`. (d ) Produce CG to the pointsuch that `GF=2.7`cm. (e) ` Join BF and CE and produce them to meet at point A. ABC is the requiredtriangle. |
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| 41. |
Is it possible to have a polygon, whose sum of interior angles is : (i) 870^@ (ii) 2340^@ (iii) 7 right angles? |
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Answer» (i) No (II) YES (III) No |
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| 42. |
root3((-a^6 xx b^3 xx c^(21))/(c^9 xx a^(12)))=……… |
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Answer» `(-bc^(3))/(a^(2))` |
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| 43. |
Given reason to show that none of the number given gelow is a perfect square: 5372 5963 8457 9468 360 64000 2500000 |
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| 44. |
If 5|x| + 4|y| = 4 and 2|x| - 4|y| =10, then find x and y. |
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Answer» `x = PM 2, y = pm (3)/(2)` |
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| 45. |
Two angles of a polygon are right angles and the remaining are 120^@ each. Find the number of sides in it. |
| Answer» ANSWER :D | |
| 46. |
Use of the information given in the following figure to find: (i) x. (ii) angleB and angleC. |
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Answer» `(i)` `x=32^@` |
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| 47. |
Solve and graph the solution set on a number line : 5x+4 gt 8x -11, x in |
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| 49. |
(i) Which rational number is its own additive inverse? (ii) Is the difference of two rational numbers a rational number? (iii) Is the additioncommutative on rational numbers? (iv) Is addition associative on rational numbers? (v) Is subtraction commutative on rational numbers? (vi) Is subtraction associative on rational numbers? (vii) What is the negative of a negative rational number? |
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| 50. |
Find the volume and the total surface area of a cuboid ,whose:length = 15 cm , breadth = 10 cm and height = 8 cm |
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