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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.
| 3651. |
Solve each of the following equatins : sqrt((x)/(1-x))+sqrt((1-x)/(x))=2(1)/(6),xne0,1 |
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| 3652. |
The text charges in Hyderabad are fixed, along with the charge for the distance covered. For a distance of 10 km, the charge paid is Rs. 220. For a journey of 15 km, the charge paid is Rs. 310. What are the fixed charges and charge per km? |
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| 3654. |
Solve each of the following pairs of equations by reducing them to a pair of linear equations. (2)/(x)+(3)/(y)=13 and (5)/(x)-(4)/(y)=-2 where x ne 0,y ne0. |
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| 3655. |
A cube is painted blue on all faces. It is cut into 125 smaller cubes of equal size. How many cubes are painted on one face only? |
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Answer» 8 Take X = 5 and x = 1. Such cubes are `6(X/x-2)^(2)=6xx9=54`. |
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| 3656. |
A cube is painted blue on all faces. It is cut into 125 smaller cubes of equal size. How many cubes are not painted on any face? |
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Answer» 8 TAKE X = 5 and x = 1. Such cubes are `(X/x-2)^(3)=(5-2)^(3)=27`. |
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| 3657. |
A cube is inscribed in a sphere of diameter 'd' cm. What is the side of the largest cube so inscribed? |
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| 3658. |
Construct a triangle ABC in which AB=8cm, BC=10cm and AC=6cm. Then construct another triangle whose side are 4/5 of the correspondingsides of DeltaABC |
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| 3659. |
Find the dimensions of a rectangle whose perimeter is 28 meters and whose area is 40 square meters. |
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| 3660. |
Delta ABC ~ Delta DEF andtheir areas are respectively 64 cm^(2) and 121 cm^(2). If EF = 15.4 cm., then find BC. |
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| 3661. |
(px+qy+rz) prop (msqrt(yz)+nsqrt(zx)+tsqrt(xy))(where P,q,r,m,n,t are constants ) |
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| 3662. |
A solid cylinder has a total surface area of 462 cm^(2) . If its curved surface area is one third of its total surface area, find the radius and height of the cylinder. |
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| 3663. |
Construct a triangle with sides 5cm, 6cm and 7cm and then construct another triangle whose sides are 7/5 of the corespondingsides of the first Delta^(l a). |
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| 3664. |
The value of (2tan30^(@))/(1-tan^(2)30^(@)) is equal to |
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Answer» `cos 60^(@) ` |
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| 3665. |
Divide 3x^(3)+x^(2)+2x+5 by 1+2x+x^(2). |
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| 3666. |
If the angle between two tangents drawn from an external point ‘P’ to a circle of radius ‘r’ and centre O is 60^(@), then find the length of OP. |
Answer» Solution : In `DELTA OBP,(OB)/(OP) = SIN 30^(@)` |
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| 3667. |
How many children are there in the row of children facing North? I. Vishakha who is fifth the left end is eighth to the left of Ashish who is twelfth from the right end. II. Rohit is fifth to the left of Nisha who is seventh from the right end and eighteenth from the left end. |
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Answer» if the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question, From II, Nisha is `7^(th)` from right and `18^(th)` from left end of the row. So, there are (6 + 1 + 17) = 24 children in the row. |
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| 3668. |
One number is selected from the first 50 natural numbers. What is the probability that it is a root of x+(256)/(x)gt40 ? |
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| 3669. |
Plotthese points on three different graphs . What do you observe ?(AS_(5)) |
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| 3670. |
Find themissing frequencies in the following frequecny distribution table, if N=100 and median is the value of sqrt(1056-sqrt(1056-sqrt(1056-sqrt1056...oo))) |
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| 3671. |
If a+b+ c=0, then (a^(2)+ b^(2) + c^(2) )/( ab+ bc+ca) is equal to |
| Answer» Answer :D | |
| 3672. |
Consider a triangle PQR ,right at R ,in which PQ = 29 units ,QR =21 units andangle PQR =theta ,then find the values of(i)cos ^(2) theta + sin ^(2) theta and (ii) cos ^(2) theta -sin ^(2) theta |
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| 3674. |
Draw a circle with the help of a bangle. Take a point outside the circle. Construct the pair of tangents from this points to the circle. |
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Answer» Solution :Given, a circle draw by using a BANGLE and a point R, outside the circle. Steps of Construction : 1. Draw a circle by using the bangle. 2. Draw two chords Ap and MT. Perpendicular BISECTORS of AP and MT intersect each other at O which is the centre of the circle. 3. Take a point R outside the circle. Join OR and bisect it. 4. Let Q be the mid-point of OR. Taking Q as centre and OQ as radius draw a dotted circle which intersects the given circle at S and N. 5. Join RS and RN. Thus, RS and RN are the required tangents from R. Justification : Join OS and ON. Tehn, `angleOSR` is the angle lies in the semi-circle, so `""angleOSR=90^(@)` `implies""OS"||"SR` Since, OS is the radius of the circle with centre O. So, SR has to be a tangent to the circle with centre O. Similarly RN is also a tangent to the circle with centre at O. 
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| 3675. |
Which of the following form an ap ? Justify your answer sqrt(3),sqrt(12),sqrt(27),sqrt(48)………….. |
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| 3677. |
Find the coordinates of points of trisection of the line segment AB with A(2, 7) and B( - 4, -8) |
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Answer» <P> |
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| 3678. |
It is possible to divide a line segment in the ratio 2 + sqrt3 : 2- sqrt3. |
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| 3679. |
The total surface area of a solid cylinder is 616 cm^(2). If the ratio between its curved surface area and total surface area is 1 : 2, find the volume of the cylinder. |
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| 3680. |
Find the co-ordinates of a point whose absicissa is 10 and its distance from the point (2, -3) is 10 units. |
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| 3681. |
An exhibition tent is in the form of a cylinder surmounted by a ocne .The height of the tent above the gournd is 85 cm and the height of the cylindrical part is 50 m. If the diameter of the base is 168 m , find the quantity of canvas required to make the tent . Allow 20% extra for folds and stitching .Give your answer to the nearest m^(2). |
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| 3682. |
In the following figure . (i) ifangle BAD = 96^(@), " find"angle BCD and angle BFE. (ii) Prove that AD is parallel to PE. (##SEL_RKB_ICSE_MAT_X_C17_E02_019_Q01.png" width="80%">(b) ABCD is a parallelogram. A circle through vertices A and B meets side BC at point P and side AD at point Q . Show that quadrilateral PCDQ is cyclic. |
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| 3683. |
Check whether the following are quadratic equations : (x+2)^(3)=2x(x^(2)-1) |
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| 3684. |
A card is drawn at random from a well-shuffled deck of 52 playing cards. Find the probability that it is : a spade or a picture card |
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| 3685. |
A card is drawn at random from a well-shuffled deck of 52 playing cards. Find the probability that it is : a picture card |
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| 3686. |
A card is drawn at random from a well-shuffled deck of 52 playing cards. Find the probability that it is : neither a four nor a club |
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| 3687. |
A card is drawn at random from a well-shuffled deck of 52 playing cards. Find the probability that it is : a ten or a spade |
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| 3688. |
A card is drawn at random from a well-shuffled deck of 52 playing cards. Find the probability that it is : any suit except heart |
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| 3689. |
A card is drawn at random from a well-shuffled deck of 52 playing cards. Find the probability that it is : a heart |
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| 3690. |
Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement are sufficient to answer the question . Read both the statements and - Give answer What is the shortest distance between Devipur and Durgapur ? I. Durgapur is 20 km away from Ramput. II. Devipur is 15 kmaway from Rampur. |
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Answer» if the data in statement I alone are sufficient to answer the QUESTION, while the data in statement II alone are not sufficient to answer the question, |
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| 3691. |
The students of class Xofa school undertook to work for the campaign 'Say No to plastic' in a city. Theytook the map of the cityand form coordinate plane on it to divide theirareas. Group A took the region covered between the coordinates (1,1),(-3,2),(-2,-2) and (1,-3) taken in order. Find the area of the region covered by group A.(i)Whatare the harmful effects of using plastic ?(ii)Howcan you contribute in spreadingawareness for such campaign ? |
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Answer» (i)Plastic is non-biodegradable and causes pollution. (II)By PREPARING posters or playsto spread AWARENESS in the society. |
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| 3692. |
A manufacturer involved ten children in colouring playing top (lattu)whichis shaped like a conesurmounted by a hemisphere. The entire top is 5 cm in heightand the diameter or oftop is 3.5 cm.Find the are they had to paint if 50 playing tops were givento them . (Takepi = (22)/(7) )(a) Howis child labouran abusefor the society ?(b)What stepscan be taken to abolishchild labour? |
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Answer» (a) CHILDREN are the futureof any societyor country and theypossess various TALENTS . So, providing them opportunities to grow by givingproper education instead of involving them in work will help in the developmentof society . With education and proper nurtureof their talent, they cancontribute in a BETTER way for the developmentof society and the country. (b)(i) Spreading awareness againstlobourin the society . (ii)Abolishing the use of products involvingchild lobour . (III)Providing free cducation atelementary level to poor children. (iv)Enforcing the law to abolish child labour . |
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| 3694. |
If the angles of depression of the upper and lower ends of a lamp post from the top of a hill of height h metres are alpha and beta respectively, the height of the lamp post (in metres) is |
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Answer» a.`(H sin (beta+ALPHA))/(cos alpha sin beta)` |
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