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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.
| 3601. |
Divide a line segment AB in the ratio 4:5, the points A_1, A_2, A_3,....and B_1, B_2, B_3,.... are located at equal distances on the ray AX and BY respectively. Which two points should be joined to divide a line segment? |
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| 3602. |
If A and B are (-2, -2) and (2, -4), respectively, find the coordinates of P such that AP = (3)/(7)AB and P lies on the line segment AB. |
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| 3603. |
What length of solid cylinder 2 cm in diameter must be taken to recast into a hollow cylinder of external diameter 20 cm, 0-25 cm thick and 15 cm long? |
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| 3604. |
If the roots of the equation q^(2)x^(2) + p^(2)x + r^(2) = 0 are the squares of the roots of the equation qx^(2) + px + r = 0 , then q,p,r are in …….. . A.P G.P Both A.P and G.P none of these |
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Answer» A.P |
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| 3605. |
y+xgt2 yle3x-2 Which graph shows the solution of the set is inequalities above? |
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| 3607. |
Apply the division algorithm to find the quotient and remainder on dividing p(x) by g(x). p(x) = x^3 - 3x^2 + 5x - 3, g(x) = x^2 - 2. |
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| 3608. |
Draw a circle of radius 2.5 cm. Take a point at a distance of 5 cm from the centre of the circle. From point P, draw two tangents to the circle. |
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Answer» Solution :Steps of construction : 1. Take a POINT O in the plane of the paper and DRAW a circle of radius 2.5 cm. 2. Mark a point P at a distance of 5.0 cm from the centre O and join OP. 3. Draw the right BISECTOR of OP, intersecting OP at Q. 4. Taking Q as centre and OQ= PQ as radius, draw a circle to intersect the given circle at T and T' 5. Join PT and PT' to get the required tangents. 
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| 3609. |
Calculate the area of the desigred region in figure , common between the two quadrants of the circles of radius 10 cm each . (use pi=3.14) |
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| 3610. |
A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends. The length of the capsule is 14 mm. and the width is 5 mm. Find its surface area. |
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| 3611. |
Solve the following questions. (Any two ) (i)Point R divides seg PQ externally in the ratio3:1 andP-Q-R. find the ratio in which point Q divides seg PR. |
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| 3612. |
Find the sum of G.P. : (x+y)/(x-y)+1+(x-y)/(x+y)+ . . . . .. . . .upto n terms. |
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| 3614. |
Gopal is worrying that his neighbour can peep into his living room from the top floor of his house.He has decided raise the height ofthe fence that is high enough to block the view from his neighbour’s top floor window.What should be the height of the fence?The measurements are given in the figure. |
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| 3615. |
triangle AMT ~triangle AHE. In triangle AMT, AM=6.3 cm, /_TAM=50^(@), AT=5.6 cm. (AM)/(AH)=(7)/(5). Construct triangle AHE. |
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Answer» So, if we CONSTRUCT `triangle AMT`, point H will be on side AM, at a DISTANCE equal to 5 parts from A. Now, point E is the point of intersection of ray AT and a line through H, parallel to MT. `triangle AHE` is the required triangle SIMILAR to `triangle AMT`. |
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| 3616. |
Formulate the following problem as a pair of equations and then find their solutions. Rahim travels 600 km to his home partly by train and partly by car. He takes 8 hours If he travels 120 km by train andrest by car.He takes 20 minutes more if he travels 200 km by train and rest by car. Find the speed of the train and the car. |
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| 3618. |
If 'sky' is called 'star', 'star' is called 'cloud', 'cloud' is called 'earth', 'earth' is called 'tree' and 'tree' is called 'book', then where do the birds fly? |
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Answer» Cloud |
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| 3619. |
In the given figure. AB is the diameter of the circle with centre O. (##SEL_RKB_ICSE_MAT_X_C17_E04_012_Q01.png" width="80%> Ifangle ADC = 32 ^(@) ,find angle BOC. |
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| 3620. |
With I as centre, draw a circle which will inscribe in triangle ofeach side of the triangle equal to 4.3 cm. |
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| 3621. |
Amul, is an Indian dairy cooperative society, based at Anand in the Gujarat. Formed in 1946, it is a cooperative brand managed by a cooperative body, the Gujarat Co-operative Milk Marketing Federation Ltd. (GCMMF), which today is jointly owned by 36 lakh (3.6 million) milk producers in Gujarat. Amul spurred India’s White Revolution, which made the country the world’s largest producer of milk and milk products Survey manager of Amul dairy has recorded monthly expenditures on milk in 100 families of a housing society. This is given in the following frequency distribution : What is the median expenditure on milk? |
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Answer» 601.4 `=525+91.6=616.6` Thus (d) is CORRECT OPTION. |
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| 3622. |
Amul, is an Indian dairy cooperative society, based at Anand in the Gujarat. Formed in 1946, it is a cooperative brand managed by a cooperative body, the Gujarat Co-operative Milk Marketing Federation Ltd. (GCMMF), which today is jointly owned by 36 lakh (3.6 million) milk producers in Gujarat. Amul spurred India’s White Revolution, which made the country the world’s largest producer of milk and milk products Survey manager of Amul dairy has recorded monthly expenditures on milk in 100 families of a housing society. This is given in the following frequency distribution : What is the upper limit of median class ? |
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Answer» 1225  We have `""N=100, (N)/(2)=50` Cumulative frequency just greater than `(N)/(2)` is 60 and the CORRESPONDING class is 525-700. Thus median class is 525-700 and UPPER limit is 700. Thus (d) is correct option. |
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| 3623. |
Amul, is an Indian dairy cooperative society, based at Anand in the Gujarat. Formed in 1946, it is a cooperative brand managed by a cooperative body, the Gujarat Co-operative Milk Marketing Federation Ltd. (GCMMF), which today is jointly owned by 36 lakh (3.6 million) milk producers in Gujarat. Amul spurred India’s White Revolution, which made the country the world’s largest producer of milk and milk products Survey manager of Amul dairy has recorded monthly expenditures on milk in 100 families of a housing society. This is given in the following frequency distribution : How many families spend between Rs 525- Rs 700 on milk ? |
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Answer» 21 `10+14+15+x+28+7+5=100` `79+x=100` `x=100-79=21` THUS (a) is correct option. |
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| 3624. |
For each geometric progressions find the common ratio 'r'. Andthen find a_(n). (i) 3,3/2, 3/4, 3/8,…… (ii) 2,-6, 18, -54 (iii) -1,-3,-9, -27,….. (iv) 5,2, 4/5, 8/25,….. |
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Answer» (II) `r=-3, a_(n) = 2(-3)^(n-1)` (iii) r=3; `a_(n) =(-1)(3)^(n-1)` (iv) `r= 2/5; a_(n) = 5(2/5)^(n-1)` |
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| 3625. |
Amul, is an Indian dairy cooperative society, based at Anand in the Gujarat. Formed in 1946, it is a cooperative brand managed by a cooperative body, the Gujarat Co-operative Milk Marketing Federation Ltd. (GCMMF), which today is jointly owned by 36 lakh (3.6 million) milk producers in Gujarat. Amul spurred India’s White Revolution, which made the country the world’s largest producer of milk and milk products Survey manager of Amul dairy has recorded monthly expenditures on milk in 100 families of a housing society. This is given in the following frequency distribution : What is the model expenditure on milk? |
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Answer» 734.25 MODE, `""M_(o)=l+h((f_(1)-f_(0))/(2f_(1)-f_(0)-f_(2)))` `=700+((28-21)/(2xx28-21-7))xx175` `=700+(7)/(28)xx175` `=700+43.75=743.75` Thus (a) is correct OPTION. |
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| 3626. |
Amul, is an Indian dairy cooperative society, based at Anand in the Gujarat. Formed in 1946, it is a cooperative brand managed by a cooperative body, the Gujarat Co-operative Milk Marketing Federation Ltd. (GCMMF), which today is jointly owned by 36 lakh (3.6 million) milk producers in Gujarat. Amul spurred India’s White Revolution, which made the country the world’s largest producer of milk and milk products Survey manager of Amul dairy has recorded monthly expenditures on milk in 100 families of a housing society. This is given in the following frequency distribution : What is the lower limit of model class ? |
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Answer» 1225 Thus (d) is CORRECT option. |
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| 3627. |
Minimize 3x+2y subject to the constraints x+y ge 5 and x+2 y ge 6, x ge0, y ge 0 |
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| 3628. |
Check whether the following are quadratic equations: x^(3)-4x^(2)-x+1=(x-2)^(3) |
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| 3629. |
The table below shows thedailyexpenditure on food of 30 households in a locality: Find the mean and median daily expenditure on food. |
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| 3630. |
A wireof diameter 3mm is wounded around a cylinder whose height is 12 cm and radius 5 cm so as to cover the curved surfaceof the cylinder completely: find (i) length of the wire. (ii) mass of the wire assuming the density of copper to be 8.88 g per cm^(3) |
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Answer» Diameter (width) of wire = 3m=0.3 cm So whole height of cylinder =0.3 n cm But whole height of cylinder =12 cm 0.3 `n=12 rarr n=(12)/(0.3)=(120)/(3)=40` So 40 revolutions are completed to wound the wire completely on the cylinder In Irevolution length of wire = 2 `PI`R In 40 revolutions length of wire =`40xx2pir` `=80xx(22)/(7)xx5cm=1257.14 cm` =12.57 m.(ii) Now RADIUS of wire`=(0.3)/(2)=0.15 cm` volume of wire =area of CROSS section`xx` length of wire `=pi(0.15)^(2)xx1257.14=88.898 cm^(3)` Mass of wire = volume `xx` density =88.898`xx`8.88 g=789.41 g Hence length of wire = 12.57 m and mass of wire =789.41 g 
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| 3631. |
Solve for x and y 37x+41y=70 41x+37y=86 |
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| 3632. |
A right circular cylinder has base radius 14 cm and height 21 cm. Find its total surface area. |
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| 3633. |
State whether the following statements are true or false. Justify your answer. 5 notin set of prime numbers |
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| 3634. |
Find the sum of G.P. : 3,6,12, . . . . . . . . ., 1536. |
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| 3635. |
Places A and B are 100 km apart on a highway. One car start from A and another from B at the same time at different speeds. If the car travel in the same direction, they meet in 5 hours, if they travel towards each other, they meet in 1 hour. What are the speeds of the two cars? |
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| 3637. |
100 surnames ware randomly picked up from a local telephone directory and the frequency distribution of the number of letters in the English alphabets in the surnames was obtained as follows : Determine the median number of letters in the surnames. |
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| 3638. |
Find the are of the shaded region in figure , if ABCD is a square of side 7 cm and APD and BPC are semicircles . (use pi=(22)/(7) ) |
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| 3639. |
ABCD is a rectangle formed by the points A (-1,-1), B(-1,4), C (5, 4) and D (5, - 1). P, Q R and S are the mid-points of AB, BC, CD, and DA respectively. Is the quadrilateral PQRS is a square? a rectangle? or a rhombus? Justify your answer. |
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| 3640. |
If n is a natural number then7^(3n) - 4^(3n)is always divisible by ..................... |
| Answer» ANSWER :D | |
| 3641. |
Choose the correct answer and give justification for each. (ii) From a point Q, the length of the tangent to a circle is 24 cm. and the distance of Q from the centre is 25 cm. The radius of the circle is |
| Answer» ANSWER :A | |
| 3642. |
Find the 19^(th) term of the series : sqrt(3)+(1)/(sqrt(3))+(1)/(3sqrt(3))+. . . . . . . . . . .. |
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| 3643. |
If the p^(t h),q^(t h)andr^(t h)terms of a GP are a, b and c, respectively. Prove that a^(q-r)b^(r-p)c^(p-q)=1. |
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| 3645. |
Find the number of terms in each of the following Aps, (i) 7,13,19,…….. 205 (ii) 18, 15 (1/2), 13,……. - 47. |
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| 3646. |
Construct a triangle with sides 5 cm, 6 cm and 7 cm and then another triangle whose sides are 7/5 of the corresponding sides of the first triangle. |
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Answer» Solution :Steps of Construction : 1. Draw a line segment BC = 5 cm. 2. Taking B and C as centres draw two ARCS of radii 7 cm and 6 cm interecting each other at A. 3. JOIN BA and CA, `DeltaABC` is the required triangle. 4. From B draw any RAY BX downwared making an acute `angleCBX.` 5. Locate seven points `B_(1),B_(2),B_(3),B_(4),B_(5),B_(6)and B_(7)` on BX, such that `BB_(1)=B_(1)B_(2)=B_(2)B_(3)=B_(3)B_(4)=B_(4)B_(5)=B_(5)B_(6)=B_(6)B_(7).` 6. Join `B_(5)C` and from `B_(7)` draw a line `B_(7)M"||"B_(5)C` interecting the EXTENDED line segment BC at M. 7. From point M draw `MN"||"CA` intersecting the extended line segment BA at N. Then, `DeltaNBM` is the required triangle whose sides are `7/5` of the corresponding sides of `DeltaABC.`  Justifiction : By construction, `B_(7)M"||"B_(5)C` `therefore""(BC)/(CM)=5/2` `Now,""(BM)/(BC)=(BC+CM)/(BC)=1+2/5=7/5` `therefore""(BM)/(BC)=7/5` `Also,""MN"||"CA` `therefore""DeltaABC~DeltaNBM` `and""(NB)/(AB)=(BM)/(BC)=(MN)/(CA)=7/5` |
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| 3647. |
A company declares a dividend of 11.2% to all its share holders. If its 60rs share is available in the market at a premium of 25%, how much should Rakesh invest, in buying the shares of this company, in order to have an annual income of 1680rs ? |
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| 3648. |
Prove that (1+cosA)/(1-cosA)=(cosecA+cotA)^(2). |
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| 3649. |
Khalique's monthly salary is Rs.20,000. He donates Rs. 1500 per month for medical research (100%, relief), contributes Rs.2000 per month to PF, and pays annual LIC premium of Rs. 3000. Calculate the income tax he has to pay for the financial year. |
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| 3650. |
Find the value of a, if x -2 is a factor of 2x^5- 6x^4 -2ax^3+ 6ax^2+ 4ax + 8. |
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