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.
| 1001. |
Activity : Note the frequency of two - wheelers , three - wheelers and four - wheelers going past during a time interval in front of your school gate . Find the probability that any one vehicle out of the total vehicles you have observed is a two - wheeler. |
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| 1002. |
The marks obtained by 40 students of a class in an examination are given below: 3,20, 13, 1,21, 13, 3, 23, 16, 13, 18, 12, 5, 12, 5, 24, 9, 2, 7, 18, 20, 3, 10, 12, 7, 18, 2, 5, 7, 10, 16, 8, 16, 17, 8, 23, 24, 6, 23, 15. Present the data in the form of a frequency distribution using equal class size, one such class being 10-15(15 not included). |
Answer» SOLUTION :
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| 1003. |
The students of Vidyalaya were asked to participate in a competition for making and decorating penholders inthe shape of a cylinder with a base, using cardboard. Each penholder was to be of radius 3 cm and height 10.5 cm. The Vidyalaya was to supply the competitors with cardboards. If there were 35 competitors, how much cardboard was required to be bought for the competition ? |
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| 1004. |
Draw the graph of the equations x+y=3,2x-y=3 and x+2y=4.show that these three lines pass throught the same point. Find the co-ordinates of this common point. |
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| 1005. |
The marks of 30 students of a class of 10 in a test (out of 75) are given below 40, 21, 50, 37, 42, 37, 38, 42, 49, 52, 38, 53, 57, 47, 29, 59, 61, 33, 17, 17, 39, 44, 42, 39, 14, 7, 27, 19, 54, 51. Form a frequency table with equal class intervals. |
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| 1006. |
pi is |
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Answer» a RATIONAL number |
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| 1007. |
Kalyan bought 600, Rs.x shares at 20% premium from a company. If these had been bought at 20% discount, then his investment would have been Rs.2400 less. How many Rs.x shares have a total face value of Rs.20,000? |
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Answer» 2000 |
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| 1009. |
A solidcube of side 12 c mis cut into8 cubes of equal volume. What will be the side of the new cube? Also, findthe ratio between their surface areas. |
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Answer» The required ratio of the total surface area of the ORIGINAL cube and the total surface area of a new cube is 4 : 1. |
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| 1010. |
Without actually calculating the cubes, find the value of each of the following : (28)^(3) + (-15)^(3) + (-13)^(3) |
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| 1011. |
Construct a rhombus whose side is of length 3.4cm and one of its angles is 45^(@) . |
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Answer» Solution :We KNOW that, in rhombus all sides are equal. To construct a rhombus whose side is of length `3.4cm` and one of its angle is `45^(@)` , USE the following stepls (i) DRAW a line segment `AB` of length `3.4cm` (ii) Now, generate an angle `45^(@)` at both ends A and B of line segment AB and plot the parallel lines AX and BY. (III) Cut AD and BC of length `3.4cm` from AX and BY , respectively. (iv) Draw and angle of `45^(@)` at one of the point D or C and join both points by a line segment DC of length `3.4cm` and parallel to AB. Thus, ABCD is the required rhombus whose side is of length `3.4cm` and one of its angle is `45^(@)` .  Alternate Method To construct a rhombus whose side is of length `3.4cm` and one of its angle is `45^(@)` use the following steps. (i) Draw a line segment AB of length `3.4cm`. (ii) Now , draw an angle XAB = `45^(@)` at point A of line segment AB. (iii) Cut a line segment AD = `3.4cm` from ray AX and join BD. (iv) Now, from D point C is at a distanceof `3.4cm` . So, having D as centre draw an arc of radius `3.4cm` . (V) From B, point C is at distance of `3.4cm` . So, having B as centre draw an arc of radius `3.4cm` which intersect previous arc (obtained in step iv) C. (vi) join CD and BC. Thus, ABCD is required rhombus side is of length `3.4cm` and one of its angle is `45^(@)` . 
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| 1012. |
Express the following linear equations in the form ax + by + c = 0 and indicate the values of a , b and c and indicate the values of a, b and c in each case : 5=2x |
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| 1013. |
Bindu goesto a shopto buy a gift costingRs 1500. On herrequest the shopkeeperallows twosuccessivediscounts of x% and y%(x lt y) . Bindubuysthe gift for Rs 1188includingsalestax of 10%Which of thefollowingcouldbe thediscount rates offered by theshopkeeper ? |
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Answer» `15%, 20%` |
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| 1014. |
Express the following linear equations in the form ax + by + c = 0 and indicate the values of a , b and c and indicate the values of a, b and c in each case : 3x+2=0 |
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| 1015. |
Express the following linear equations in the form ax + by + c = 0 and indicate the values of a , b and c and indicate the values of a, b and c in each case : y-2=0 |
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| 1016. |
Express the following linear equations in the form ax + by + c = 0 and indicate the values of a , b and c and indicate the values of a, b and c in each case : x-y/5-10=0 |
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| 1017. |
Express the following linear equations in the form ax + by + c = 0 and indicate the values of a , b and c and indicate the values of a, b and c in each case : -2x+3y=6 |
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| 1018. |
Express the following linear equations in the form ax + by + c = 0 and indicate the values of a , b and c and indicate the values of a, b and c in each case : x=3y |
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| 1019. |
Express the following linear equations in the form ax + by + c = 0 and indicate the values of a , b and c and indicate the values of a, b and c in each case : 2x=-5y |
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| 1020. |
Express the following linear equations in the form ax + by + c = 0 and indicate the values of a , b and c and indicate the values of a, b and c in each case : 2x+3y=9.3bar5 |
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| 1021. |
The mean of first five prime numbers is |
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Answer» 28 |
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| 1022. |
BE and CF are two equal altitudes of a triangle ABC. Using RHS congruence rule, prove that the triangle ABC is isosceles. |
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| 1023. |
Find(i) the lateral or curved surface area of a closedcylindrical petrol storage tank that is4.2 m in diameter and 4.5 m high.(ii) how much steel was actually used, if 1/(12) of the steelactually used was wasted in making the tank |
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Answer» (II) 95.04 `m^(2)` |
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| 1024. |
Find the zero of each of the following polynomials : p(x) = (2)/(3)x- (5)/(6) |
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| 1025. |
State whether each of the following statements is true or false : A point has one dimension. |
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| 1026. |
Find (i)The total surface area of a closed cylindrical petrol storage tank whose diameter 4.2 m.and height 4.5 m. |
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Answer» (II) ` 96.48 m^(2) ` |
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| 1027. |
If 'a' and 'b' are rational numbers, find the value of a and b in each of the following equations. (sqrt3+sqrt2)/(sqrt3-sqrt2)=a+bsqrt6 |
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| 1028. |
Expand each of the following using suitable identities : (-2x+5y-3z)^(2) |
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| 1029. |
Out of 100 days, the forecast predicted by the wheather department proved to be from the 100 day . Chosen any one day from these 100 days. The probability that the forecast proved to be false is .......... |
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Answer» `1/3` |
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| 1030. |
A plastic box 1.5 m long, 1.25m wide and 65 cm deep is to be made. It is to be open at the top. Ignoringthe thickness of the plastic sheet, determine:(i) The area of the sheetrequired for making the box.(ii) The cost of sheet for it,if a sheet measuring 1 m^2 costs Rs 20. |
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Answer» (II) RS. 109 |
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| 1031. |
The marks scored by 40 students in a 60 mark test of english are as follows,Prepare the frequency distribution with classes 0-9,10-19,….. |
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| 1032. |
If 2cos2A=sqrt(3) and A is acute, find : sin^(2)(75^(@)-A)+cos^(2)(45^(@)+A) |
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| 1033. |
Represents sqrt(3.4) on the number line. |
| Answer» SOLUTION :N/a | |
| 1034. |
Ravi look a certain amountfrom Raju at the rate of 8% per annum at simple interest and lent half of the amount to Ramu at 8% per annum at simple interest and the remaining amount to Raghu at 10% per annum at simple interest. If at the end of 10 years, Ravi under a profit of Rs1250 in the deal, then find the amount that Ravi had taken from Raju. |
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Answer» Rs 12,500 ii) `(P xx 10 xx 10)/(2 xx 100)+(P xx 8 xx 10)/( 2xx 100)-(P xx 8 xx 10)/100=1250`. |
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| 1036. |
Find the value of each of the following polynomials at the indicated value of variables : p(x) = 5x^(2) - 3x + 7 at x = 1. |
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| 1038. |
A hollow spherical shell is made of a metal of density 4.5 g per cm^(3). If its internal and external radii are 8 cm and 9 cm, respectively find the weigth of the shell. |
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| 1039. |
A sum of money is lent out at compound intersect for two years at 20% per annum. Compound intersect being reckoned yearly. If the same sum of money was lent out at compound interest at the same rate percent per annum, compound intersect being reckoned healf-yealry, it would have fetched Rs 482 more by way of interest in two years. Calcualte the sum of money lent out. |
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| 1040. |
Check whether the value of x given against each polynomial is a zero of that polynomial or not : p(x) = x^(3) + 2x^(2) - x-2, x = 1, -1, -2, 2 |
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| 1042. |
At what rate of interrest per annum will a sum of Rs62,500 earn a compound interest of Rs 5,100 in one year ? The interest is to be compounded half-yearly. |
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| 1044. |
Find the value of sqrt7 up to six decimal places by long division method. |
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| 1045. |
Write the abscissae and ordinates of the following points. (i) (4,-8) (ii) (-5,3) (iii) (0,0) (iv) (5,0) (v) (0,-8) |
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Answer» ordinate -8 ordinate : 3 ordinate 0ordinate : 0 abscissa : 0 ordinate : -8 |
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| 1046. |
In triangle ABC, angleA = angleC, AC = 5 and BC = 4. Then, the perimeter of triangle ABC is .......... |
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Answer» 9 |
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| 1047. |
Which of the following statement are ture and which are false? Give reasons for your answers? (i) Only one line can pass through a single point. ltbr. (ii) There are an infinite number of lines which pass through two distinct points. (iii) A terminated line can be produced indefinitely on both sides. (iv) If two circles are equal, then their radii are equal. (v) In the given figures belows, if AB = PQ and PQ = XY, then AB = XY. |
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Answer» SOLUTION :(i) False : SINCE any number of lines can PASS through a point. (ii) False : This contradicts Postulate 1. (iii) True : By Euclid's 2nd Postulate. (iv) True : Superimposing the region of one CIRCLE on the other, we FIND them coinciding. So, their centres and boundaries coincide. Thus, their radii will coincide i.e., they are equal. (v) True : Euclid's 1st Axiom. 
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| 1048. |
The marks obtained (out of 100) by a class of 80 students are given below: Construct a histogram to represent the data above |
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Answer» SOLUTION :Here, the class INTERVALS are of UNEQUAL WIDTH. So, we shall first input COMPUTE adjusted frequencies of each class. The minimum class-size is 20-10=10. The adjusted frequencies are computed by using the following formula `"Adjusted frequency" = ("minimum class-size")/("class-size") xx "frequency of the class"`  Now, we construct rectangles with class-limits as bases and respective adjusted frequencies as heights.
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| 1049. |
In triangle ABC, the bisector AD of angle A is perpendicular to side BC (see the given figure). Show that AB = AC and triangle ABC is isosceles. |
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