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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.
| 3551. |
If A and B are (-2, -2) and (2, -4) respectively, find the coordinates of P on AB such that AP = (3)/(7)AB. |
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| 3552. |
A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle 30^(@) with it. The distance between the foot of the tree to the point where the top touches the ground is 8 m. Find the height of the tree. |
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| 3553. |
A dealer from Banaras supplies goods/services, worth 1,00,000 to a dealer in Banglore at 30% discount. If the rate of GST is 5%, find the amount of bill in Banglore. |
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| 3554. |
The two tangents drawn to a circle at the end points of a diameter are ......... to each other. |
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| 3555. |
If a=5, d=2, find i] T_(5) ii] T_(10) iii] T_(100) |
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Answer» `= 5+4(2)` II] `=5 + 8 ` `= 13` `= 5+18` `=23` `T_(100) = a+ 99d` `= 5+ 99^(2) =5 + 198 = 203` |
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| 3557. |
DeltaABC~DeltaPQR,(AB)/(PQ)=(7)/(5) then …………… |
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Answer» `DELTAABC` is BIGGER |
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| 3558. |
Can you draw a triangle with vertices (1, 5), (5, 8) and (13, 14) ? Give reason |
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| 3560. |
State the co-ordinates of the following points under reflection in y-axis : (i) (6, -3)(ii) (-1, 0)(iii) (-8, -2) |
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| 3561. |
Find a quadratic polynomial, sum and product of whose zeroes -3 and 2 respectively. |
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| 3562. |
If the 5^(th) and 11^(th)terms of an A.P. are 16 and 34 respectively. Find the A.P. |
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| 3563. |
What must be subtracted from (x^(3)+5x^(2)+5x+8) so that the resulting polynomial Is excatly divisible by (x^(2)+3x-2) ? |
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| 3564. |
if in the variation x =ky and y=k'z, a,b,c and a' ,b',c' be two sets of value of x,y,z show that (a^2+b^2+c^2)/(aa' +bb' +cc')=(aa'+bb'+cc')/(a'^2+b'^2+c'^2) |
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| 3565. |
Ramesh buys 100rs shares at 20rs premium in a company paying 15% dividend. Find (i) the market value of 600 shares , (ii) his annual income ,(iii) his percentage income. |
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| 3566. |
Check whether the following equations are consistent or inconsistent. Solve them graphically. (i) 2x - 2y - 2 = 0 4x -4y - 5 = 0 |
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| 3567. |
Statement-1: For each natural number n, (n + 1)^7- n^7 - 1 is divisible by 7.Statement-2: For each natural number n, n^7 - n is divisible by 7. |
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Answer» 10 FOL all natural numbers n |
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| 3568. |
If A=[{:(,3,7),(,2,4):}], B=[{:(,0,2),(,5,3):}] and C=[{:(,1,-5),(,-4,6):}] Find AB-5C. |
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| 3569. |
What point on x-axis is equidistant from the points (6, 7) and (4, -3)? |
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| 3571. |
If a,b and c are in A.P, show that (b+c), (c+a) and (a+b) are also in A.P. |
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| 3572. |
Express sin 67^@ + cos 75^@ in terms of trigonometric ratio of angles between 0^@ and 45^@. |
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| 3573. |
Two pipes runningtogether can fill a tank in 11 1/9minutes. If one pipe takes 5minutes more than the other to fill the tank separately, find the time inwhich each pipe would fill the tank separately. |
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| 3574. |
Find which of the following is a G.P. : xy,x^(2)y,x^(3)y, . . . . . . . . . . . . . |
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| 3575. |
A cubicalblock of side 7 cm is surmounted by a hemisphere. What is the greatestdiameter of the hemisphere can have? Find the total surface area of thesolid. |
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| 3576. |
If A,BandCareinteriorangledofatriangleABC,then showthatsin((B + C ) /( 2 ))= cos"" ( A ) /(2) |
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| 3577. |
A boy was aksed to add 3 to a certain number and to divide the sum by 2, but he subtracted 2 from the number and multiplied the remainder by 3 and got the same result. Find the number and the result. |
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| 3578. |
Find zeros of polynomials by the algebraic method and verify the relationship between the zeros and coefficient of the polynomialt^(3) - 2t^(2) - 15 t |
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Answer» ii] `:. alpha BETA gamma = (d)/(a)` III] `:. alpha beta = (c)/(a)` iv] `:. alpha beta = (c)/(a)` V] `:. alpha beta = (c)/(a)` |
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| 3580. |
A game of chance consists of spinning an arrow which comes to rest pointing at one of the numbers 1,2 3,4,5,6,7,8 and these are equally likely outcomes what is the probability that it will point at : (i) 8? (ii) an odd number ? (iii) a number greater than 2 ? (iv) a number less than 9 ? |
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| 3581. |
If the 8th term of an A.P. is 37 and the 15th term is 15 more than the 12th find the A.P. Also find the sum of first 20 terms of this A.P. |
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| 3582. |
From numbers 3, 5, 7, 7, 7, 9, 9, 9, 9, one number is selected at random. The probabilty that the selected number is mean, is given by: |
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Answer» `1/10` |
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| 3583. |
Segment AB is divied into four equal parts by point P,Q and R such that A-P-Q-R-B. If (12,9) and R(0,11) then find the coordinates of point A, Q and B. |
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Answer» `thereforeA(18,8)` `thereforeB(-6,12)` |
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| 3584. |
Look at graphs in the figures below. Each is the graph of y=p(x), where p(x) is a polynomial. In each of the graphs, find the number of zeroes of p(x) in the given range of x . |
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Answer» (II) X- axis at two points. (III) 3 (iv) 1 (v) 1 (VI) 4. |
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| 3585. |
A steel wire when bent in the form of a square encloses an area of 121 cm. If the same wire is bent in the form of a circle, then find the circumference of the circle . |
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| 3586. |
Rahamal got a playing top (lattu) as his birthday presentation, which surprisingly had no colour on it. So he wanted to colour it with his crayons. The top is shaped like a cone surprisingly by a hemisphere. The entire top is5 cm in height and the diameter of the top is 3.5 cm. Find the area he has to colour. |
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Answer» Now, the curved surface area of the hemisphere `=1/2 xx 4 pi r^(2) = 2 pi r^(2) = (2xx(22)/(7)xx(3.5)/(2)xx(3.5)/(2))`sq-cm Also, the HEIGHT of the cone = height of the top - height ( radius) of the hemispherical part. `=(5-(3.5)/(2)) cm = 3.25`cm. So the slant height of the cone `=sqrt((3.5/2)^(2)+(3.25)^(2))cm=3.7cm` (APPROX) `:.` curved surface area of cone `=((22)/(7)xx(3.5)/(2)xx3.7)`sq-cm [ Formula `: pi r l` ] HENCE the total surface area of the top `=(2xx(22)/(7)xx(3.5)/(2)xx(3.5)/(2)) sq-cm + ((22)/(7)xx(3.5)/(2)xx3.7)sq-cm.=39.6 sq-cm `[(approx.)] |
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| 3587. |
The monthly instalment of a recurring deposit account is Rs 2,400. If the account is held for 1 year 6 months and its maturity value is Rs 47,304, find the rate of interest. |
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| 3588. |
Selvi's house has an overhead tank in the sphase of a cylinder. This is filled by pumping water from a sump (an underground tank) which is in the shape of a cuboid. The sump has dimensions 1.57 mxx1.44m xx95 cm. The overhead tank has its radius 60cm and height 95 cm. Find the hieght of the water left in the sump after the overhead tank has been completely filled with water from the sump which had been full. Compare the capacity of the tank with that of the sump (Use pi=3.14) |
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| 3590. |
Consider a DeltaACB right angled at C, in which AB = 29 units, BC = 21 units and angleABC=theta. The value f sin theta is |
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Answer» `(20)/(29)` |
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| 3591. |
A sports company was ordered to prepare 100 paper cylinders for packing shuttle cocks. The requried dimensions of the cylinder are 35 cm length/height and its radius is 7 cm . Find the required area of thick paper sheet needed to make 100 cylinders ? |
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| 3592. |
Construction Caley's table for the set A = {2,4,6,8, 10} under addition modulo 12. |
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| 3593. |
Find the sum of the following Aps, (i) 2,7,12,…..to 10 terms. (ii) -37, -33, -29, to 12 terms (iii) 0.6, 1.7, 2.8,…… to 100 terms (iv) 1/15, 1/12, 1/10, ………….. To 11 terms. |
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| 3594. |
A chord of a circle of radius 10 cm subtends a right angle at the centre. Find the area of the corresponding sector. |
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| 3595. |
A hemisphere is cut out from one face of a cubical wooden block such that the diameter of the hemisphere is equal to the edge of the cube. Determine the surface area of the remaining solid. |
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| 3596. |
A cylindrical container is filled with ice-cream whose diameter is 12 cm and height is 15 cm . The whole ice cream is distributed to 10 children by filling in equal cones and forming hemispherical tops. If the height of the conical portion is twice the diameter of its base. Find the diameter of the ice cream cone. |
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| 3597. |
Formulate the following problem as a pair of equations and then find their solutions. 2 women and 5 men can together finish an embroidery work in 4 days while 3 women and 6 men can finish it in 3 days. Find the time taken by 1 women alone and 1 man alone to finish the work. |
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| 3598. |
P, Q, R, S and T are sitting around a circle facing towards its centre. Who is second to the right of P? I. R is to the immediate left of T and second to the right of S. II. Q is to the immediate right of S and third to the left of P. |
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Answer» 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,  Thus, either Q or T is second to the right of P. From II, we have the order: 
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| 3599. |
E is the son of A. D is the son of B. E is married to C.C is B's daughter. How is D related to E? |
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Answer» BROTHER |
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| 3600. |
Show that 6(sinx+cosx)^(4)+12(sinx-cosx)^(2)+8(sin^(6)x+cos^(6)x)=26. |
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